%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU572^1 : 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 : n017.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 08:26:45 AM UTC 2026
% Result : Theorem 0.66s 0.41s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU572^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n017.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 13:46:37 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running higher-order theorem proving
% 0.22/0.31 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.PSyoecainJ/E---3.1_369335.p
% 0.66/0.41 % Version: 3.5.1-ho
% 0.66/0.41 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.66/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.41 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.66/0.41 % Starting ehoh_best3_rw with 300s (1) cores
% 0.66/0.41 % Starting almost_fo_3 with 300s (1) cores
% 0.66/0.41 % Starting new_ho_13 with 300s (1) cores
% 0.66/0.41 % almost_fo_3 with pid 369350 completed with status 0
% 0.66/0.41 % Result found by almost_fo_3
% 0.66/0.41 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.66/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.41 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.66/0.41 % Starting ehoh_best3_rw with 300s (1) cores
% 0.66/0.41 % Starting almost_fo_3 with 300s (1) cores
% 0.66/0.41 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.66/0.41 % No SInE strategy applied
% 0.66/0.41 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.66/0.41 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.66/0.41 % Starting SubtermCWHack with 28s (1) cores
% 0.66/0.41 % SubtermCWHack with pid 369355 completed with status 0
% 0.66/0.41 % Result found by SubtermCWHack
% 0.66/0.41 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.66/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.41 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.66/0.41 % Starting ehoh_best3_rw with 300s (1) cores
% 0.66/0.41 % Starting almost_fo_3 with 300s (1) cores
% 0.66/0.41 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.66/0.41 % No SInE strategy applied
% 0.66/0.41 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.66/0.41 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.66/0.41 % Starting SubtermCWHack with 28s (1) cores
% 0.66/0.41 % Preprocessing time : 0.006 s
% 0.66/0.41
% 0.66/0.41 % Proof found!
% 0.66/0.41 % SZS status Theorem
% 0.66/0.41 % SZS output start CNFRefutation
% 0.66/0.41 thf(decl_23, type, in: $i > $i > $o).
% 0.66/0.41 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.66/0.41 thf(decl_25, type, setextAx: $o).
% 0.66/0.41 thf(decl_26, type, emptyset: $i).
% 0.66/0.41 thf(decl_27, type, emptysetAx: $o).
% 0.66/0.41 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.66/0.41 thf(decl_29, type, setadjoinAx: $o).
% 0.66/0.41 thf(decl_30, type, powerset: $i > $i).
% 0.66/0.41 thf(decl_31, type, powersetAx: $o).
% 0.66/0.41 thf(decl_32, type, setunion: $i > $i).
% 0.66/0.41 thf(decl_33, type, setunionAx: $o).
% 0.66/0.41 thf(decl_34, type, omega: $i).
% 0.66/0.41 thf(decl_35, type, omega0Ax: $o).
% 0.66/0.41 thf(decl_36, type, omegaSAx: $o).
% 0.66/0.41 thf(decl_37, type, omegaIndAx: $o).
% 0.66/0.41 thf(decl_38, type, replAx: $o).
% 0.66/0.41 thf(decl_39, type, foundationAx: $o).
% 0.66/0.41 thf(decl_40, type, wellorderingAx: $o).
% 0.66/0.41 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.66/0.41 thf(decl_42, type, descrp: $o).
% 0.66/0.41 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.66/0.41 thf(decl_44, type, dsetconstrI: $o).
% 0.66/0.41 thf(decl_45, type, dsetconstrEL: $o).
% 0.66/0.41 thf(decl_46, type, dsetconstrER: $o).
% 0.66/0.41 thf(decl_47, type, exuE1: $o).
% 0.66/0.41 thf(decl_48, type, prop2set: $o > $i).
% 0.66/0.41 thf(decl_49, type, prop2setE: $o).
% 0.66/0.41 thf(decl_50, type, emptysetE: $o).
% 0.66/0.41 thf(decl_51, type, emptysetimpfalse: $o).
% 0.66/0.41 thf(decl_52, type, notinemptyset: $o).
% 0.66/0.41 thf(decl_53, type, exuE3e: $o).
% 0.66/0.41 thf(decl_54, type, setext: $o).
% 0.66/0.41 thf(decl_55, type, emptyI: $o).
% 0.66/0.41 thf(decl_56, type, noeltsimpempty: $o).
% 0.66/0.41 thf(decl_57, type, setbeta: $o).
% 0.66/0.41 thf(decl_58, type, nonempty: $i > $o).
% 0.66/0.41 thf(decl_59, type, nonemptyE1: $o).
% 0.66/0.41 thf(decl_60, type, nonemptyI: $o).
% 0.66/0.41 thf(decl_61, type, nonemptyI1: $o).
% 0.66/0.41 thf(decl_62, type, setadjoinIL: $o).
% 0.66/0.41 thf(decl_63, type, emptyinunitempty: $o).
% 0.66/0.41 thf(decl_64, type, setadjoinIR: $o).
% 0.66/0.41 thf(decl_65, type, setadjoinE: $o).
% 0.66/0.41 thf(decl_66, type, setadjoinOr: $o).
% 0.66/0.41 thf(decl_67, type, setoftrueEq: $o).
% 0.66/0.41 thf(decl_68, type, powersetI: $o).
% 0.66/0.41 thf(decl_69, type, emptyinPowerset: $o).
% 0.66/0.41 thf(decl_70, type, emptyInPowerset: $o).
% 0.66/0.41 thf(decl_71, type, powersetE: $o).
% 0.66/0.41 thf(decl_72, type, setunionI: $o).
% 0.66/0.41 thf(decl_73, type, setunionE: $o).
% 0.66/0.41 thf(decl_74, type, subPowSU: $o).
% 0.66/0.41 thf(decl_75, type, exuE2: $o).
% 0.66/0.41 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.66/0.41 thf(decl_77, type, uniqinunit: $o).
% 0.66/0.41 thf(decl_78, type, notinsingleton: $o).
% 0.66/0.41 thf(decl_79, type, eqinunit: $o).
% 0.66/0.41 thf(decl_80, type, singletonsswitch: $o).
% 0.66/0.41 thf(decl_81, type, upairsetE: $o).
% 0.66/0.41 thf(decl_82, type, upairsetIL: $o).
% 0.66/0.41 thf(decl_83, type, upairsetIR: $o).
% 0.66/0.41 thf(decl_84, type, emptyE1: $o).
% 0.66/0.41 thf(decl_85, type, vacuousDall: $o).
% 0.66/0.41 thf(decl_86, type, quantDeMorgan1: $o).
% 0.66/0.41 thf(decl_87, type, quantDeMorgan2: $o).
% 0.66/0.41 thf(decl_88, type, quantDeMorgan3: $o).
% 0.66/0.41 thf(decl_89, type, quantDeMorgan4: $o).
% 0.66/0.41 thf(decl_90, type, prop2setI: $o).
% 0.66/0.41 thf(decl_91, type, set2prop: $i > $o).
% 0.66/0.41 thf(decl_92, type, prop2set2propI: $o).
% 0.66/0.41 thf(decl_93, type, notdexE: $o).
% 0.66/0.41 thf(decl_94, type, notdallE: $o).
% 0.66/0.41 thf(decl_95, type, exuI1: $o).
% 0.66/0.41 thf(decl_96, type, exuI3: $o).
% 0.66/0.41 thf(decl_97, type, exuI2: $o).
% 0.66/0.41 thf(decl_98, type, inCongP: $o).
% 0.66/0.41 thf(decl_99, type, in__Cong: $o).
% 0.66/0.41 thf(decl_100, type, exuE3u: $o).
% 0.66/0.41 thf(decl_101, type, exu__Cong: $o).
% 0.66/0.41 thf(decl_102, type, emptyset__Cong: $o).
% 0.66/0.41 thf(decl_103, type, setadjoin__Cong: $o).
% 0.66/0.41 thf(decl_104, type, powerset__Cong: $o).
% 0.66/0.41 thf(decl_105, type, setunion__Cong: $o).
% 0.66/0.41 thf(decl_106, type, omega__Cong: $o).
% 0.66/0.41 thf(decl_107, type, exuEu: $o).
% 0.66/0.41 thf(decl_108, type, descr__Cong: $o).
% 0.66/0.41 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.66/0.41 thf(decl_110, type, subset: $i > $i > $o).
% 0.66/0.41 thf(decl_113, type, subsetI1: $o).
% 0.66/0.41 thf(decl_114, type, eqimpsubset2: $o).
% 0.66/0.41 thf(decl_115, type, eqimpsubset1: $o).
% 0.66/0.41 thf(decl_116, type, subsetI2: $o).
% 0.66/0.41 thf(decl_117, type, emptysetsubset: $o).
% 0.66/0.41 thf(decl_118, type, subsetE: $o).
% 0.66/0.41 thf(decl_119, type, subsetE2: $o).
% 0.66/0.41 thf(decl_120, type, notsubsetI: $o).
% 0.66/0.41 thf(decl_121, type, notequalI1: $o).
% 0.66/0.41 thf(decl_122, type, notequalI2: $o).
% 0.66/0.41 thf(decl_123, type, subsetRefl: $o).
% 0.66/0.41 thf(decl_124, type, subsetTrans: $o).
% 0.66/0.41 thf(decl_125, type, setadjoinSub: $o).
% 0.66/0.41 thf(decl_126, type, epred1_0: $o).
% 0.66/0.41 thf(decl_127, type, esk1_2: $i > $i > $i).
% 0.66/0.41 thf(decl_128, type, esk2_2: $i > $i > $i).
% 0.66/0.41 thf(decl_129, type, esk3_2: $i > $i > $i).
% 0.66/0.41 thf(decl_130, type, esk4_1: $i > $i).
% 0.66/0.41 thf(decl_131, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.66/0.41 thf(decl_132, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.66/0.41 thf(decl_133, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.66/0.41 thf(decl_134, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.66/0.41 thf(decl_135, type, esk9_1: $i > $i).
% 0.66/0.41 thf(decl_136, type, esk10_2: ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_137, type, esk11_2: ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_138, type, esk12_1: ($i > $o) > $i).
% 0.66/0.41 thf(decl_139, type, esk13_2: ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_140, type, esk14_1: ($i > $o) > $i).
% 0.66/0.41 thf(decl_141, type, esk15_2: $i > $i > $i).
% 0.66/0.41 thf(decl_142, type, esk16_2: $i > $i > $i).
% 0.66/0.41 thf(decl_143, type, esk17_1: $i > $i).
% 0.66/0.41 thf(decl_144, type, esk18_1: $i > $i).
% 0.66/0.41 thf(decl_145, type, esk19_1: $i > $i).
% 0.66/0.41 thf(decl_146, type, esk20_2: $i > $i > $i).
% 0.66/0.41 thf(decl_147, type, esk21_3: $i > $i > $o > $i).
% 0.66/0.41 thf(decl_148, type, esk22_2: ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_149, type, esk23_1: ($i > $o) > $i).
% 0.66/0.41 thf(decl_150, type, esk24_1: $i > $i).
% 0.66/0.41 thf(decl_151, type, esk25_2: $i > ($i > $o) > $i).
% 0.66/0.41 thf(decl_152, type, esk26_2: $i > ($i > $o) > $i).
% 0.66/0.41 thf(decl_153, type, esk27_2: $i > ($i > $o) > $i).
% 0.66/0.41 thf(decl_154, type, esk28_2: $i > ($i > $o) > $i).
% 0.66/0.41 thf(decl_155, type, esk29_2: $i > ($i > $o) > $i).
% 0.66/0.41 thf(decl_156, type, esk30_2: $i > ($i > $o) > $i).
% 0.66/0.41 thf(decl_157, type, esk31_2: ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_158, type, esk32_1: ($i > $o) > $i).
% 0.66/0.41 thf(decl_159, type, esk33_1: ($i > $o) > $i).
% 0.66/0.41 thf(decl_160, type, esk34_1: ($i > $o) > $i).
% 0.66/0.41 thf(decl_161, type, esk35_1: ($i > $o) > $i).
% 0.66/0.41 thf(decl_162, type, esk36_2: ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_163, type, esk37_1: ($i > $o) > $i).
% 0.66/0.41 thf(decl_164, type, esk38_2: ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_165, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.66/0.41 thf(decl_166, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.66/0.41 thf(decl_167, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_168, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.66/0.41 thf(decl_169, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_170, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.66/0.41 thf(decl_171, type, esk45_2: ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_172, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.66/0.41 thf(decl_173, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.66/0.41 thf(decl_174, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_175, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.66/0.41 thf(decl_176, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.66/0.41 thf(decl_177, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.66/0.41 thf(decl_178, type, esk52_2: $i > $i > $i).
% 0.66/0.41 thf(decl_179, type, esk53_2: $i > $i > $i).
% 0.66/0.41 thf(decl_180, type, esk54_0: $i).
% 0.66/0.41 thf(decl_181, type, esk55_0: $i).
% 0.66/0.41 thf(decl_182, type, esk56_0: $i).
% 0.66/0.41 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', replAx)).
% 0.66/0.41 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', exu)).
% 0.66/0.41 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', descrp)).
% 0.66/0.41 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', exuE1)).
% 0.66/0.41 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', exuE3e)).
% 0.66/0.41 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', nonempty)).
% 0.66/0.41 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', nonemptyI)).
% 0.66/0.41 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', exuE2)).
% 0.66/0.41 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.PSyoecainJ/E---3.1_369335.p', exuI1)).
% 0.66/0.41 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', exuI3)).
% 0.66/0.41 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', exuI2)).
% 0.66/0.41 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.PSyoecainJ/E---3.1_369335.p', exuE3u)).
% 0.66/0.41 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', exu__Cong)).
% 0.66/0.41 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', exuEu)).
% 0.66/0.41 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', descr__Cong)).
% 0.66/0.41 thf(setadjoinSub2, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setadjoinSub2)).
% 0.66/0.41 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', dsetconstrI)).
% 0.66/0.41 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', dsetconstrEL)).
% 0.66/0.41 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', dsetconstrER)).
% 0.66/0.41 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setbeta)).
% 0.66/0.41 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', nonemptyE1)).
% 0.66/0.41 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', nonemptyI1)).
% 0.66/0.41 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setoftrueEq)).
% 0.66/0.41 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', nonemptyImpWitness)).
% 0.66/0.41 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.PSyoecainJ/E---3.1_369335.p', emptyE1)).
% 0.66/0.41 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', dsetconstr__Cong)).
% 0.66/0.41 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setextAx)).
% 0.66/0.41 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', emptysetAx)).
% 0.66/0.41 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setadjoinAx)).
% 0.66/0.41 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', powersetAx)).
% 0.66/0.41 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setunionAx)).
% 0.66/0.41 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', omega0Ax)).
% 0.66/0.41 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', omegaSAx)).
% 0.66/0.41 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.PSyoecainJ/E---3.1_369335.p', omegaIndAx)).
% 0.66/0.41 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.PSyoecainJ/E---3.1_369335.p', foundationAx)).
% 0.66/0.41 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', wellorderingAx)).
% 0.66/0.41 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', prop2setE)).
% 0.66/0.41 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', emptysetE)).
% 0.66/0.41 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', emptysetimpfalse)).
% 0.66/0.41 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', notinemptyset)).
% 0.66/0.41 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.PSyoecainJ/E---3.1_369335.p', setext)).
% 0.66/0.41 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', emptyI)).
% 0.66/0.41 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', noeltsimpempty)).
% 0.66/0.41 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setadjoinIL)).
% 0.66/0.41 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', emptyinunitempty)).
% 0.66/0.41 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setadjoinIR)).
% 0.66/0.41 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setadjoinE)).
% 0.66/0.41 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setadjoinOr)).
% 0.66/0.41 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', powersetI)).
% 0.66/0.41 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', emptyinPowerset)).
% 0.66/0.41 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', emptyInPowerset)).
% 0.66/0.41 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', powersetE)).
% 0.66/0.41 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setunionI)).
% 0.66/0.41 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setunionE)).
% 0.66/0.41 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', subPowSU)).
% 0.66/0.41 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', uniqinunit)).
% 0.66/0.41 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', notinsingleton)).
% 0.66/0.41 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', eqinunit)).
% 0.66/0.41 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', singletonsswitch)).
% 0.66/0.41 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', upairsetE)).
% 0.66/0.41 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', upairsetIL)).
% 0.66/0.41 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', upairsetIR)).
% 0.66/0.41 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', vacuousDall)).
% 0.66/0.41 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', quantDeMorgan1)).
% 0.66/0.41 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', quantDeMorgan2)).
% 0.66/0.41 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', quantDeMorgan3)).
% 0.66/0.41 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', quantDeMorgan4)).
% 0.66/0.41 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', prop2setI)).
% 0.66/0.41 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', prop2set2propI)).
% 0.66/0.41 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', notdexE)).
% 0.66/0.41 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', notdallE)).
% 0.66/0.41 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', inCongP)).
% 0.66/0.41 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', in__Cong)).
% 0.66/0.41 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', emptyset__Cong)).
% 0.66/0.41 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setadjoin__Cong)).
% 0.66/0.41 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', powerset__Cong)).
% 0.66/0.41 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setunion__Cong)).
% 0.66/0.41 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', omega__Cong)).
% 0.66/0.41 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', subsetI1)).
% 0.66/0.41 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', eqimpsubset2)).
% 0.66/0.41 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', eqimpsubset1)).
% 0.66/0.41 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', subsetI2)).
% 0.66/0.41 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', emptysetsubset)).
% 0.66/0.41 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', subsetE)).
% 0.66/0.41 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', subsetE2)).
% 0.66/0.41 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', notsubsetI)).
% 0.66/0.41 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', notequalI1)).
% 0.66/0.41 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', notequalI2)).
% 0.66/0.41 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', subsetRefl)).
% 0.66/0.41 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', subsetTrans)).
% 0.66/0.41 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.PSyoecainJ/E---3.1_369335.p', setadjoinSub)).
% 0.66/0.41 thf(c_0_91, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.66/0.41 thf(c_0_92, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.66/0.41 thf(c_0_93, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.66/0.41 thf(c_0_94, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.66/0.41 thf(c_0_95, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.66/0.41 thf(c_0_96, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.66/0.41 thf(c_0_97, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.66/0.41 thf(c_0_98, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.66/0.41 thf(c_0_99, 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])).
% 0.66/0.41 thf(c_0_100, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.66/0.41 thf(c_0_101, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.66/0.41 thf(c_0_102, 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])).
% 0.66/0.41 thf(c_0_103, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.66/0.41 thf(c_0_104, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.66/0.41 thf(c_0_105, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.66/0.41 thf(c_0_106, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setadjoinSub2])).
% 0.66/0.41 thf(c_0_107, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X265:$i]:(((((X6 @ X2 @ X265)))&(![X266:$i]:(((((X6 @ X2 @ X266)))=>(((X265)=(X266)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_92])).
% 0.66/0.41 thf(c_0_108, plain, ((descrp)=(![X1:$i > $o]:((((?[X267:$i]:(((((X1 @ X267)))&(![X268:$i]:(((((X1 @ X268)))=>(((X267)=(X268))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_92])).
% 0.66/0.41 thf(c_0_109, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.66/0.41 thf(c_0_110, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.66/0.41 thf(c_0_111, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.66/0.41 thf(c_0_112, plain, ((exuE1)=(![X1:$i > $o]:((((?[X269:$i]:(((((X1 @ X269)))&(![X270:$i]:(((((X1 @ X270)))=>(((X269)=(X270))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_92])).
% 0.66/0.41 thf(c_0_113, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X271:$i]:(((((X1 @ X271)))&(![X272:$i]:(((((X1 @ X272)))=>(((X271)=(X272))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_92])).
% 0.66/0.41 thf(c_0_114, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.66/0.41 thf(c_0_115, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_96])).
% 0.66/0.41 thf(c_0_116, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_96])).
% 0.66/0.41 thf(c_0_117, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_96])).
% 0.66/0.41 thf(c_0_118, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.66/0.41 thf(c_0_119, plain, ((exuE2)=(![X1:$i > $o]:((((?[X273:$i]:(((((X1 @ X273)))&(![X274:$i]:(((((X1 @ X274)))=>(((X273)=(X274))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_92])).
% 0.66/0.41 thf(c_0_120, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_96])).
% 0.66/0.41 thf(c_0_121, 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])).
% 0.66/0.41 thf(c_0_122, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X275:$i]:(((((X1 @ X275)))&(![X276:$i]:(((((X1 @ X276)))=>(((X275)=(X276)))))))))))))), inference(apply_def,[status(thm)],[c_0_99, c_0_92])).
% 0.66/0.41 thf(c_0_123, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X277:$i]:(((((X1 @ X277)))&(![X278:$i]:(((((X1 @ X278)))=>(((X277)=(X278)))))))))))))))), inference(apply_def,[status(thm)],[c_0_100, c_0_92])).
% 0.66/0.41 thf(c_0_124, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X279:$i]:(((((X1 @ X279)))&(![X280:$i]:(((((X1 @ X280)))=>(((X279)=(X280)))))))))))))), inference(apply_def,[status(thm)],[c_0_101, c_0_92])).
% 0.66/0.41 thf(c_0_125, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X281:$i]:(((((X1 @ X281)))&(![X282:$i]:(((((X1 @ X282)))=>(((X281)=(X282))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_92])).
% 0.66/0.41 thf(c_0_126, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X283:$i]:(((((X1 @ X283)))&(![X284:$i]:(((((X1 @ X284)))=>(((X283)=(X284))))))))))<=>((?[X285:$i]:(((((X17 @ X285)))&(![X286:$i]:(((((X17 @ X286)))=>(((X285)=(X286)))))))))))))))), inference(apply_def,[status(thm)],[c_0_103, c_0_92])).
% 0.66/0.41 thf(c_0_127, plain, ((exuEu)=(![X1:$i > $o]:((((?[X287:$i]:(((((X1 @ X287)))&(![X288:$i]:(((((X1 @ X288)))=>(((X287)=(X288))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_92])).
% 0.66/0.41 thf(c_0_128, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X289:$i]:(((((X1 @ X289)))&(![X290:$i]:(((((X1 @ X290)))=>(((X289)=(X290))))))))))=>((((?[X291:$i]:(((((X17 @ X291)))&(![X292:$i]:(((((X17 @ X292)))=>(((X291)=(X292))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_105, c_0_92])).
% 0.66/0.41 thf(c_0_129, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.66/0.41 thf(c_0_130, plain, ((epred1_0)<=>![X322:$i]:(?[X323:$i]:((((![X324:$i]:(((in @ X324 @ X323)=>![X325:$i]:(((in @ X325 @ X324)=>(in @ X325 @ X322)))))&![X326:$i, X327:$i]:((((in @ X326 @ X322)&(in @ X327 @ X322))=>(![X328:$i]:(((in @ X328 @ X323)=>((in @ X326 @ X328)<=>(in @ X327 @ X328))))=>((X326)=(X327))))))&![X329:$i, X330:$i]:((((in @ X329 @ X323)&(in @ X330 @ X323))=>(![X331:$i]:(((in @ X331 @ X329)=>(in @ X331 @ X330)))|![X332:$i]:(((in @ X332 @ X330)=>(in @ X332 @ X329)))))))&![X333:$i]:(((![X334:$i]:(((in @ X334 @ X333)=>(in @ X334 @ X322)))&?[X335:$i]:((in @ X335 @ X333)))=>?[X336:$i, X337:$i]:(((((in @ X336 @ X323)&(in @ X337 @ X333))&~(?[X338:$i]:(((in @ X338 @ X336)&(in @ X338 @ X333)))))&![X339:$i]:(((in @ X339 @ X323)=>(![X340:$i]:(((in @ X340 @ X339)=>(in @ X340 @ X336)))|(in @ X337 @ X339)))))))))))), introduced(definition)).
% 0.66/0.41 thf(c_0_131, negated_conjecture, ~((![X293:$i, X294:$i]:((![X295:$i]:(((in @ X295 @ X293)<=>(in @ X295 @ X294)))=>((X293)=(X294))))=>(![X296:$i]:(~(in @ X296 @ emptyset))=>(![X297:$i, X298:$i, X299:$i]:(((in @ X299 @ (setadjoin @ X297 @ X298))<=>(((X299)=(X297))|(in @ X299 @ X298))))=>(![X300:$i, X301:$i]:(((in @ X301 @ (powerset @ X300))<=>![X302:$i]:(((in @ X302 @ X301)=>(in @ X302 @ X300)))))=>(![X303:$i, X304:$i]:(((in @ X304 @ (setunion @ X303))<=>?[X305:$i]:(((in @ X304 @ X305)&(in @ X305 @ X303)))))=>((in @ emptyset @ omega)=>(![X306:$i]:(((in @ X306 @ omega)=>(in @ (setadjoin @ X306 @ X306) @ omega)))=>(![X307:$i]:((((in @ emptyset @ X307)&![X308:$i]:((((in @ X308 @ omega)&(in @ X308 @ X307))=>(in @ (setadjoin @ X308 @ X308) @ X307))))=>![X309:$i]:(((in @ X309 @ omega)=>(in @ X309 @ X307)))))=>(![X310:$i > $i > $o, X311:$i]:((![X312:$i]:(((in @ X312 @ X311)=>?[X313:$i]:(((X310 @ X312 @ X313)&![X314:$i]:(((X310 @ X312 @ X314)=>((X313)=(X314))))))))=>?[X315:$i]:(![X316:$i]:(((in @ X316 @ X315)<=>?[X317:$i]:(((in @ X317 @ X311)&(X310 @ X317 @ X316))))))))=>(![X318:$i]:((?[X319:$i]:((in @ X319 @ X318))=>?[X320:$i]:(((in @ X320 @ X318)&~(?[X321:$i]:(((in @ X321 @ X320)&(in @ X321 @ X318))))))))=>((epred1_0)=>(![X341:$i > $o]:((?[X342:$i]:(((X341 @ X342)&![X343:$i]:(((X341 @ X343)=>((X342)=(X343))))))=>(X341 @ (descr @ (^[Z0:$i]:(X341 @ Z0))))))=>(![X344:$i, X345:$i > $o, X346:$i]:(((in @ X346 @ X344)=>((X345 @ X346)=>(in @ X346 @ (dsetconstr @ X344 @ X345)))))=>(![X347:$i, X348:$i > $o, X349:$i]:(((in @ X349 @ (dsetconstr @ X347 @ X348))=>(in @ X349 @ X347)))=>(![X350:$i, X351:$i > $o, X352:$i]:(((in @ X352 @ (dsetconstr @ X350 @ X351))=>(X351 @ X352)))=>(![X353:$i > $o]:((?[X354:$i]:(((X353 @ X354)&![X355:$i]:(((X353 @ X355)=>((X354)=(X355))))))=>?[X356:$i]:(((X353 @ X356)&![X357:$i]:(((X353 @ X357)=>((X356)=(X357))))))))=>(![X358:$o, X359:$i]:(((in @ X359 @ (prop2set @ ((X358))))=>(X358)))=>(![X360:$i]:(((in @ X360 @ emptyset)=>![X361:$o]:((X361))))=>(![X362:$i]:(((in @ X362 @ emptyset)=>~($true)))=>(![X363:$i]:(~(in @ X363 @ emptyset))=>(![X364:$i > $o]:((?[X365:$i]:(((X364 @ X365)&![X366:$i]:(((X364 @ X366)=>((X365)=(X366))))))=>?[X367:$i]:((X364 @ X367))))=>(![X368:$i, X369:$i]:((![X370:$i]:(((in @ X370 @ X368)=>(in @ X370 @ X369)))=>(![X371:$i]:(((in @ X371 @ X369)=>(in @ X371 @ X368)))=>((X368)=(X369)))))=>(![X372:$i]:((![X373:$i]:(~(in @ X373 @ X372))=>((X372)=(emptyset))))=>(![X374:$i]:((![X375:$i]:(~(in @ X375 @ X374))=>((X374)=(emptyset))))=>(![X376:$i, X377:$i > $o, X378:$i]:(((in @ X378 @ X376)=>((in @ X378 @ (dsetconstr @ X376 @ X377))<=>(X377 @ X378))))=>(![X379:$i]:((((X379)!=(emptyset))=>?[X380:$i]:((in @ X380 @ X379))))=>(![X381:$i, X382:$i > $o, X383:$i]:(((in @ X383 @ X381)=>((X382 @ X383)=>((dsetconstr @ X381 @ X382)!=(emptyset)))))=>(![X384:$i]:((?[X385:$i]:((in @ X385 @ X384))=>((X384)!=(emptyset))))=>(![X386:$i, X387:$i]:((in @ X386 @ (setadjoin @ X386 @ X387)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X388:$i, X389:$i, X390:$i]:(((in @ X390 @ X389)=>(in @ X390 @ (setadjoin @ X388 @ X389))))=>(![X391:$i, X392:$i, X393:$i]:(((in @ X393 @ (setadjoin @ X391 @ X392))=>![X394:$o]:(((((X393)=(X391))=>(X394))=>(((in @ X393 @ X392)=>(X394))=>(X394))))))=>(![X395:$i, X396:$i, X397:$i]:(((in @ X397 @ (setadjoin @ X395 @ X396))=>(((X397)=(X395))|(in @ X397 @ X396))))=>(![X398:$i]:(((dsetconstr @ X398 @ (^[Z0:$i]:($true)))=(X398)))=>(![X399:$i, X400:$i]:((![X401:$i]:(((in @ X401 @ X400)=>(in @ X401 @ X399)))=>(in @ X400 @ (powerset @ X399))))=>(![X402:$i]:((in @ emptyset @ (powerset @ X402)))=>(![X403:$i]:((in @ emptyset @ (powerset @ X403)))=>(![X404:$i, X405:$i, X406:$i]:(((in @ X405 @ (powerset @ X404))=>((in @ X406 @ X405)=>(in @ X406 @ X404))))=>(![X407:$i, X408:$i, X409:$i]:(((in @ X408 @ X409)=>((in @ X409 @ X407)=>(in @ X408 @ (setunion @ X407)))))=>(![X410:$i, X411:$i]:(((in @ X411 @ (setunion @ X410))=>![X412:$o]:((![X413:$i]:(((in @ X411 @ X413)=>((in @ X413 @ X410)=>(X412))))=>(X412)))))=>(![X414:$i, X415:$i]:(((in @ X415 @ X414)=>(in @ X415 @ (powerset @ (setunion @ X414)))))=>(![X416:$i > $o]:((?[X417:$i]:(((X416 @ X417)&![X418:$i]:(((X416 @ X418)=>((X417)=(X418))))))=>?[X419:$i]:(![X420:$i]:(((X416 @ X420)<=>((X420)=(X419)))))))=>(![X421:$i]:((((X421)!=(emptyset))=>?[X422:$i]:(((in @ X422 @ X421)&$true))))=>(![X423:$i, X424:$i]:(((in @ X423 @ (setadjoin @ X424 @ emptyset))=>((X423)=(X424))))=>(![X425:$i, X426:$i]:((((X425)!=(X426))=>~(in @ X426 @ (setadjoin @ X425 @ emptyset))))=>(![X427:$i, X428:$i]:((((X427)=(X428))=>(in @ X427 @ (setadjoin @ X428 @ emptyset))))=>(![X429:$i, X430:$i]:(((in @ X429 @ (setadjoin @ X430 @ emptyset))=>(in @ X430 @ (setadjoin @ X429 @ emptyset))))=>(![X431:$i, X432:$i, X433:$i]:(((in @ X433 @ (setadjoin @ X431 @ (setadjoin @ X432 @ emptyset)))=>(((X433)=(X431))|((X433)=(X432)))))=>(![X434:$i, X435:$i]:((in @ X434 @ (setadjoin @ X434 @ (setadjoin @ X435 @ emptyset))))=>(![X436:$i, X437:$i]:((in @ X437 @ (setadjoin @ X436 @ (setadjoin @ X437 @ emptyset))))=>(![X438:$i, X439:$i > $o]:((?[X440:$i]:(((in @ X440 @ X438)&(X439 @ X440)))=>(((dsetconstr @ X438 @ X439)=(emptyset))=>~($true))))=>(![X441:$i > $o, X442:$i]:(((in @ X442 @ emptyset)=>(X441 @ X442)))=>(![X443:$i, X444:$i > $o]:((~(![X445:$i]:(((in @ X445 @ X443)=>(X444 @ X445))))=>?[X446:$i]:(((in @ X446 @ X443)&~((X444 @ X446))))))=>(![X447:$i, X448:$i > $o]:((![X449:$i]:(((in @ X449 @ X447)=>~((X448 @ X449))))=>~(?[X450:$i]:(((in @ X450 @ X447)&(X448 @ X450))))))=>(![X451:$i, X452:$i > $o]:((~(?[X453:$i]:(((in @ X453 @ X451)&(X452 @ X453))))=>![X454:$i]:(((in @ X454 @ X451)=>~((X452 @ X454))))))=>(![X455:$i, X456:$i > $o]:((?[X457:$i]:(((in @ X457 @ X455)&~((X456 @ X457))))=>~(![X458:$i]:(((in @ X458 @ X455)=>(X456 @ X458))))))=>(![X459:$o]:(((X459)=>(in @ emptyset @ (prop2set @ ((X459))))))=>(![X460:$o]:(((X460)=>(set2prop @ (prop2set @ ((X460))))))=>(![X461:$i, X462:$i > $o]:((~(?[X463:$i]:(((in @ X463 @ X461)&(X462 @ X463))))=>![X464:$i]:(((in @ X464 @ X461)=>~((X462 @ X464))))))=>(![X465:$i, X466:$i > $o]:((~(![X467:$i]:(((in @ X467 @ X465)=>(X466 @ X467))))=>?[X468:$i]:(((in @ X468 @ X465)&~((X466 @ X468))))))=>(![X469:$i > $o]:((?[X470:$i]:(((X469 @ X470)&![X471:$i]:(((X469 @ X471)=>((X470)=(X471))))))=>?[X472:$i]:(((X469 @ X472)&![X473:$i]:(((X469 @ X473)=>((X472)=(X473))))))))=>(![X474:$i > $o]:((?[X475:$i]:((X474 @ X475))=>(![X476:$i, X477:$i]:(((X474 @ X476)=>((X474 @ X477)=>((X476)=(X477)))))=>?[X478:$i]:(((X474 @ X478)&![X479:$i]:(((X474 @ X479)=>((X478)=(X479)))))))))=>(![X480:$i > $o]:((?[X481:$i]:(![X482:$i]:(((X480 @ X482)<=>((X482)=(X481)))))=>?[X483:$i]:(((X480 @ X483)&![X484:$i]:(((X480 @ X484)=>((X483)=(X484))))))))=>(![X485:$i, X486:$i]:((((X485)=(X486))=>![X487:$i, X488:$i]:((((X487)=(X488))=>((in @ X487 @ X485)=>(in @ X488 @ X486))))))=>(![X489:$i, X490:$i]:((((X489)=(X490))=>![X491:$i, X492:$i]:((((X491)=(X492))=>((in @ X491 @ X489)<=>(in @ X492 @ X490))))))=>(![X493:$i > $o]:((?[X494:$i]:(((X493 @ X494)&![X495:$i]:(((X493 @ X495)=>((X494)=(X495))))))=>![X496:$i, X497:$i]:(((X493 @ X496)=>((X493 @ X497)=>((X496)=(X497)))))))=>(![X498:$i > $o, X499:$i > $o]:((![X500:$i, X501:$i]:((((X500)=(X501))=>((X498 @ X500)<=>(X499 @ X501))))=>(?[X502:$i]:(((X498 @ X502)&![X503:$i]:(((X498 @ X503)=>((X502)=(X503))))))<=>?[X504:$i]:(((X499 @ X504)&![X505:$i]:(((X499 @ X505)=>((X504)=(X505)))))))))=>(((emptyset)=(emptyset))=>(![X506:$i, X507:$i]:((((X506)=(X507))=>![X508:$i, X509:$i]:((((X508)=(X509))=>((setadjoin @ X506 @ X508)=(setadjoin @ X507 @ X509))))))=>(![X510:$i, X511:$i]:((((X510)=(X511))=>((powerset @ X510)=(powerset @ X511))))=>(![X512:$i, X513:$i]:((((X512)=(X513))=>((setunion @ X512)=(setunion @ X513))))=>(((omega)=(omega))=>(![X514:$i > $o]:((?[X515:$i]:(((X514 @ X515)&![X516:$i]:(((X514 @ X516)=>((X515)=(X516))))))=>![X517:$i, X518:$i]:(((X514 @ X517)=>((X514 @ X518)=>((X517)=(X518)))))))=>(![X519:$i > $o, X520:$i > $o]:((![X521:$i, X522:$i]:((((X521)=(X522))=>((X519 @ X521)<=>(X520 @ X522))))=>(?[X523:$i]:(((X519 @ X523)&![X524:$i]:(((X519 @ X524)=>((X523)=(X524))))))=>(?[X525:$i]:(((X520 @ X525)&![X526:$i]:(((X520 @ X526)=>((X525)=(X526))))))=>((descr @ X519)=(descr @ X520))))))=>(![X527:$i, X528:$i]:((((X527)=(X528))=>![X529:$i > $o, X530:$i > $o]:((![X531:$i]:(((in @ X531 @ X527)=>![X532:$i]:(((in @ X532 @ X528)=>(((X531)=(X532))=>((X529 @ X531)<=>(X530 @ X532)))))))=>((dsetconstr @ X527 @ X529)=(dsetconstr @ X528 @ X530))))))=>(![X533:$i, X534:$i]:((![X535:$i]:(((in @ X535 @ X533)=>(in @ X535 @ X534)))=>(subset @ X533 @ X534)))=>(![X536:$i, X537:$i]:((((X536)=(X537))=>(subset @ X537 @ X536)))=>(![X538:$i, X539:$i]:((((X538)=(X539))=>(subset @ X538 @ X539)))=>(![X540:$i, X541:$i]:((![X542:$i]:(((in @ X542 @ X540)=>(in @ X542 @ X541)))=>(subset @ X540 @ X541)))=>(![X543:$i]:((subset @ emptyset @ X543))=>(![X544:$i, X545:$i, X546:$i]:(((subset @ X544 @ X545)=>((in @ X546 @ X544)=>(in @ X546 @ X545))))=>(![X547:$i, X548:$i, X549:$i]:(((subset @ X547 @ X548)=>(~(in @ X549 @ X548)=>~(in @ X549 @ X547))))=>(![X550:$i, X551:$i, X552:$i]:(((in @ X552 @ X550)=>(~(in @ X552 @ X551)=>~(subset @ X550 @ X551))))=>(![X553:$i, X554:$i]:((~(subset @ X553 @ X554)=>((X553)!=(X554))))=>(![X555:$i, X556:$i, X557:$i]:(((in @ X557 @ X555)=>(~(in @ X557 @ X556)=>((X555)!=(X556)))))=>(![X558:$i]:((subset @ X558 @ X558))=>(![X559:$i, X560:$i, X561:$i]:(((subset @ X559 @ X560)=>((subset @ X560 @ X561)=>(subset @ X559 @ X561))))=>(![X562:$i, X563:$i]:((subset @ X563 @ (setadjoin @ X562 @ X563)))=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_106, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_107]), foundationAx]), wellorderingAx]), c_0_108]), c_0_109]), c_0_110]), c_0_111]), c_0_112]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_113]), setext]), emptyI]), noeltsimpempty]), c_0_114]), c_0_115]), c_0_116]), c_0_117]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_118]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_119]), c_0_120]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_121]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_122]), c_0_123]), c_0_124]), inCongP]), in__Cong]), c_0_125]), c_0_126]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_127]), c_0_128]), c_0_129]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub])])]), c_0_130])).
% 0.66/0.41 thf(c_0_132, negated_conjecture, ![X564:$i, X565:$i, X567:$i, X568:$i, X569:$i, X570:$i, X571:$i, X572:$i, X573:$i, X574:$i, X575:$i, X577:$i, X578:$i, X580:$i, X581:$i, X582:$i, X583:$i, X584:$i, X586:$i, X587:$i > $i > $o, X588:$i, X590:$i, X593:$i, X595:$i, X596:$i, X597:$i, X598:$i, X600:$i, X601:$i > $o, X602:$i, X604:$i, X605:$i > $o, X606:$i, X607:$i, X608:$i > $o, X609:$i, X610:$i, X611:$i > $o, X612:$i, X613:$i > $o, X614:$i, X617:$i, X618:$o, X619:$i, X620:$i, X621:$o, X622:$i, X623:$i, X624:$i > $o, X625:$i, X628:$i, X629:$i, X632:$i, X634:$i, X636:$i, X637:$i > $o, X638:$i, X639:$i, X641:$i, X642:$i > $o, X643:$i, X644:$i, X645:$i, X646:$i, X647:$i, X648:$i, X649:$i, X650:$i, X651:$i, X652:$i, X653:$i, X654:$o, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X662:$i, X663:$i, X664:$i, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X670:$i, X671:$i, X672:$o, X674:$i, X675:$i, X676:$i > $o, X677:$i, X680:$i, X681:$i, X682:$i, X684:$i, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i, X691:$i, X692:$i, X693:$i, X694:$i, X695:$i, X696:$i, X697:$i, X698:$i, X699:$i, X700:$i > $o, X701:$i, X702:$i > $o, X703:$i, X704:$i, X705:$i > $o, X706:$i, X708:$i, X709:$i > $o, X711:$i, X712:$i, X713:$i > $o, X715:$i, X716:$i, X717:$i > $o, X718:$i, X720:$o, X721:$o, X722:$i, X723:$i > $o, X725:$i, X726:$i, X727:$i > $o, X728:$i, X730:$i > $o, X731:$i, X734:$i, X735:$i > $o, X736:$i, X740:$i, X741:$i > $o, X742:$i, X745:$i, X746:$i, X747:$i, X748:$i, X749:$i, X750:$i, X751:$i, X752:$i, X753:$i, X754:$i > $o, X755:$i, X757:$i, X758:$i, X759:$i > $o, X760:$i > $o, X763:$i, X766:$i, X767:$i, X770:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i, X776:$i, X777:$i, X778:$i, X779:$i > $o, X780:$i, X782:$i, X783:$i, X784:$i > $o, X785:$i > $o, X788:$i, X790:$i, X792:$i, X793:$i, X794:$i > $o, X795:$i > $o, X798:$i, X799:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X808:$i, X809:$i, X810:$i, X811:$i, X812:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i, X822:$i, X823:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i]:((((~(in @ (esk1_2 @ X564 @ X565) @ X564)|~(in @ (esk1_2 @ X564 @ X565) @ X565)|((X564)=(X565)))&((in @ (esk1_2 @ X564 @ X565) @ X564)|(in @ (esk1_2 @ X564 @ X565) @ X565)|((X564)=(X565))))&(~(in @ X567 @ emptyset)&(((~(in @ X570 @ (setadjoin @ X568 @ X569))|(((X570)=(X568))|(in @ X570 @ X569)))&((((X570)!=(X568))|(in @ X570 @ (setadjoin @ X568 @ X569)))&(~(in @ X570 @ X569)|(in @ X570 @ (setadjoin @ X568 @ X569)))))&(((~(in @ X572 @ (powerset @ X571))|(~(in @ X573 @ X572)|(in @ X573 @ X571)))&(((in @ (esk2_2 @ X574 @ X575) @ X575)|(in @ X575 @ (powerset @ X574)))&(~(in @ (esk2_2 @ X574 @ X575) @ X574)|(in @ X575 @ (powerset @ X574)))))&(((((in @ X578 @ (esk3_2 @ X577 @ X578))|~(in @ X578 @ (setunion @ X577)))&((in @ (esk3_2 @ X577 @ X578) @ X577)|~(in @ X578 @ (setunion @ X577))))&(~(in @ X581 @ X582)|~(in @ X582 @ X580)|(in @ X581 @ (setunion @ X580))))&((in @ emptyset @ omega)&((~(in @ X583 @ omega)|(in @ (setadjoin @ X583 @ X583) @ omega))&(((((in @ (esk4_1 @ X584) @ omega)|~(in @ emptyset @ X584)|(~(in @ X586 @ omega)|(in @ X586 @ X584)))&((in @ (esk4_1 @ X584) @ X584)|~(in @ emptyset @ X584)|(~(in @ X586 @ omega)|(in @ X586 @ X584))))&(~(in @ (setadjoin @ (esk4_1 @ X584) @ (esk4_1 @ X584)) @ X584)|~(in @ emptyset @ X584)|(~(in @ X586 @ omega)|(in @ X586 @ X584))))&((((((in @ (esk8_3 @ X587 @ X588 @ X593) @ X588)|~(in @ X593 @ (esk7_2 @ X587 @ X588))|(in @ (esk5_2 @ X587 @ X588) @ X588))&((X587 @ (esk8_3 @ X587 @ X588 @ X593) @ X593)|~(in @ X593 @ (esk7_2 @ X587 @ X588))|(in @ (esk5_2 @ X587 @ X588) @ X588)))&(~(in @ X596 @ X588)|~(X587 @ X596 @ X595)|(in @ X595 @ (esk7_2 @ X587 @ X588))|(in @ (esk5_2 @ X587 @ X588) @ X588)))&(((((in @ (esk8_3 @ X587 @ X588 @ X593) @ X588)|~(in @ X593 @ (esk7_2 @ X587 @ X588))|((X587 @ (esk5_2 @ X587 @ X588) @ (esk6_3 @ X587 @ X588 @ X590))|~(X587 @ (esk5_2 @ X587 @ X588) @ X590)))&((X587 @ (esk8_3 @ X587 @ X588 @ X593) @ X593)|~(in @ X593 @ (esk7_2 @ X587 @ X588))|((X587 @ (esk5_2 @ X587 @ X588) @ (esk6_3 @ X587 @ X588 @ X590))|~(X587 @ (esk5_2 @ X587 @ X588) @ X590))))&(~(in @ X596 @ X588)|~(X587 @ X596 @ X595)|(in @ X595 @ (esk7_2 @ X587 @ X588))|((X587 @ (esk5_2 @ X587 @ X588) @ (esk6_3 @ X587 @ X588 @ X590))|~(X587 @ (esk5_2 @ X587 @ X588) @ X590))))&((((in @ (esk8_3 @ X587 @ X588 @ X593) @ X588)|~(in @ X593 @ (esk7_2 @ X587 @ X588))|(((X590)!=(esk6_3 @ X587 @ X588 @ X590))|~(X587 @ (esk5_2 @ X587 @ X588) @ X590)))&((X587 @ (esk8_3 @ X587 @ X588 @ X593) @ X593)|~(in @ X593 @ (esk7_2 @ X587 @ X588))|(((X590)!=(esk6_3 @ X587 @ X588 @ X590))|~(X587 @ (esk5_2 @ X587 @ X588) @ X590))))&(~(in @ X596 @ X588)|~(X587 @ X596 @ X595)|(in @ X595 @ (esk7_2 @ X587 @ X588))|(((X590)!=(esk6_3 @ X587 @ X588 @ X590))|~(X587 @ (esk5_2 @ X587 @ X588) @ X590))))))&((((in @ (esk9_1 @ X597) @ X597)|~(in @ X598 @ X597))&(~(in @ X600 @ (esk9_1 @ X597))|~(in @ X600 @ X597)|~(in @ X598 @ X597)))&((epred1_0)&((((X601 @ (esk10_2 @ X601 @ X602))|~(X601 @ X602)|(X601 @ (descr @ X601)))&(((X602)!=(esk10_2 @ X601 @ X602))|~(X601 @ X602)|(X601 @ (descr @ X601))))&((~(in @ X606 @ X604)|(~(X605 @ X606)|(in @ X606 @ (dsetconstr @ X604 @ X605))))&((~(in @ X609 @ (dsetconstr @ X607 @ X608))|(in @ X609 @ X607))&((~(in @ X612 @ (dsetconstr @ X610 @ X611))|(X611 @ X612))&(((((X613 @ (esk12_1 @ X613))|((X613 @ (esk11_2 @ X613 @ X614))|~(X613 @ X614)))&(~(X613 @ X617)|((esk12_1 @ X613)=(X617))|((X613 @ (esk11_2 @ X613 @ X614))|~(X613 @ X614))))&(((X613 @ (esk12_1 @ X613))|(((X614)!=(esk11_2 @ X613 @ X614))|~(X613 @ X614)))&(~(X613 @ X617)|((esk12_1 @ X613)=(X617))|(((X614)!=(esk11_2 @ X613 @ X614))|~(X613 @ X614)))))&((~(in @ X619 @ (prop2set @ ((X618))))|(X618))&((~(in @ X620 @ emptyset)|(X621))&((~(in @ X622 @ emptyset)|~($true))&(~(in @ X623 @ emptyset)&((((X624 @ (esk13_2 @ X624 @ X625))|~(X624 @ X625)|(X624 @ (esk14_1 @ X624)))&(((X625)!=(esk13_2 @ X624 @ X625))|~(X624 @ X625)|(X624 @ (esk14_1 @ X624))))&(((((in @ (esk16_2 @ X628 @ X629) @ X629)|((X628)=(X629))|(in @ (esk15_2 @ X628 @ X629) @ X628))&(~(in @ (esk16_2 @ X628 @ X629) @ X628)|((X628)=(X629))|(in @ (esk15_2 @ X628 @ X629) @ X628)))&(((in @ (esk16_2 @ X628 @ X629) @ X629)|((X628)=(X629))|~(in @ (esk15_2 @ X628 @ X629) @ X629))&(~(in @ (esk16_2 @ X628 @ X629) @ X628)|((X628)=(X629))|~(in @ (esk15_2 @ X628 @ X629) @ X629))))&(((in @ (esk17_1 @ X632) @ X632)|((X632)=(emptyset)))&(((in @ (esk18_1 @ X634) @ X634)|((X634)=(emptyset)))&(((~(in @ X638 @ (dsetconstr @ X636 @ X637))|(X637 @ X638)|~(in @ X638 @ X636))&(~(X637 @ X638)|(in @ X638 @ (dsetconstr @ X636 @ X637))|~(in @ X638 @ X636)))&((((X639)=(emptyset))|(in @ (esk19_1 @ X639) @ X639))&((~(in @ X643 @ X641)|(~(X642 @ X643)|((dsetconstr @ X641 @ X642)!=(emptyset))))&((~(in @ X645 @ X644)|((X644)!=(emptyset)))&((in @ X646 @ (setadjoin @ X646 @ X647))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X650 @ X649)|(in @ X650 @ (setadjoin @ X648 @ X649)))&(((((in @ X653 @ X652)|(X654)|((X653)=(X651))|~(in @ X653 @ (setadjoin @ X651 @ X652)))&(~(X654)|(X654)|((X653)=(X651))|~(in @ X653 @ (setadjoin @ X651 @ X652))))&(((in @ X653 @ X652)|(X654)|~(X654)|~(in @ X653 @ (setadjoin @ X651 @ X652)))&(~(X654)|(X654)|~(X654)|~(in @ X653 @ (setadjoin @ X651 @ X652)))))&((~(in @ X657 @ (setadjoin @ X655 @ X656))|(((X657)=(X655))|(in @ X657 @ X656)))&(((dsetconstr @ X658 @ (^[Z0:$i]:($true)))=(X658))&((((in @ (esk20_2 @ X659 @ X660) @ X660)|(in @ X660 @ (powerset @ X659)))&(~(in @ (esk20_2 @ X659 @ X660) @ X659)|(in @ X660 @ (powerset @ X659))))&((in @ emptyset @ (powerset @ X662))&((in @ emptyset @ (powerset @ X663))&((~(in @ X665 @ (powerset @ X664))|(~(in @ X666 @ X665)|(in @ X666 @ X664)))&((~(in @ X668 @ X669)|(~(in @ X669 @ X667)|(in @ X668 @ (setunion @ X667))))&((((in @ X671 @ (esk21_3 @ X670 @ X671 @ X672))|(X672)|~(in @ X671 @ (setunion @ X670)))&(((in @ (esk21_3 @ X670 @ X671 @ X672) @ X670)|(X672)|~(in @ X671 @ (setunion @ X670)))&(~(X672)|(X672)|~(in @ X671 @ (setunion @ X670)))))&((~(in @ X675 @ X674)|(in @ X675 @ (powerset @ (setunion @ X674))))&((((~(X676 @ X680)|((X680)=(esk23_1 @ X676))|((X676 @ (esk22_2 @ X676 @ X677))|~(X676 @ X677)))&(((X681)!=(esk23_1 @ X676))|(X676 @ X681)|((X676 @ (esk22_2 @ X676 @ X677))|~(X676 @ X677))))&((~(X676 @ X680)|((X680)=(esk23_1 @ X676))|(((X677)!=(esk22_2 @ X676 @ X677))|~(X676 @ X677)))&(((X681)!=(esk23_1 @ X676))|(X676 @ X681)|(((X677)!=(esk22_2 @ X676 @ X677))|~(X676 @ X677)))))&((((in @ (esk24_1 @ X682) @ X682)|((X682)=(emptyset)))&(($true)|((X682)=(emptyset))))&((~(in @ X684 @ (setadjoin @ X685 @ emptyset))|((X684)=(X685)))&((((X686)=(X687))|~(in @ X687 @ (setadjoin @ X686 @ emptyset)))&((((X688)!=(X689))|(in @ X688 @ (setadjoin @ X689 @ emptyset)))&((~(in @ X690 @ (setadjoin @ X691 @ emptyset))|(in @ X691 @ (setadjoin @ X690 @ emptyset)))&((~(in @ X694 @ (setadjoin @ X692 @ (setadjoin @ X693 @ emptyset)))|(((X694)=(X692))|((X694)=(X693))))&((in @ X695 @ (setadjoin @ X695 @ (setadjoin @ X696 @ emptyset)))&((in @ X698 @ (setadjoin @ X697 @ (setadjoin @ X698 @ emptyset)))&((~(in @ X701 @ X699)|~(X700 @ X701)|(((dsetconstr @ X699 @ X700)!=(emptyset))|~($true)))&((~(in @ X703 @ emptyset)|(X702 @ X703))&((((in @ (esk25_2 @ X704 @ X705) @ X704)|(~(in @ X706 @ X704)|(X705 @ X706)))&(~(X705 @ (esk25_2 @ X704 @ X705))|(~(in @ X706 @ X704)|(X705 @ X706))))&((((in @ (esk26_2 @ X708 @ X709) @ X708)|(~(in @ X711 @ X708)|~(X709 @ X711)))&((X709 @ (esk26_2 @ X708 @ X709))|(~(in @ X711 @ X708)|~(X709 @ X711))))&((((in @ (esk27_2 @ X712 @ X713) @ X712)|(~(in @ X715 @ X712)|~(X713 @ X715)))&((X713 @ (esk27_2 @ X712 @ X713))|(~(in @ X715 @ X712)|~(X713 @ X715))))&((((in @ (esk28_2 @ X716 @ X717) @ X716)|(~(in @ X718 @ X716)|(X717 @ X718)))&(~(X717 @ (esk28_2 @ X716 @ X717))|(~(in @ X718 @ X716)|(X717 @ X718))))&((~(X720)|(in @ emptyset @ (prop2set @ ((X720)))))&((~(X721)|(set2prop @ (prop2set @ ((X721)))))&((((in @ (esk29_2 @ X722 @ X723) @ X722)|(~(in @ X725 @ X722)|~(X723 @ X725)))&((X723 @ (esk29_2 @ X722 @ X723))|(~(in @ X725 @ X722)|~(X723 @ X725))))&((((in @ (esk30_2 @ X726 @ X727) @ X726)|(~(in @ X728 @ X726)|(X727 @ X728)))&(~(X727 @ (esk30_2 @ X726 @ X727))|(~(in @ X728 @ X726)|(X727 @ X728))))&(((((X730 @ (esk32_1 @ X730))|((X730 @ (esk31_2 @ X730 @ X731))|~(X730 @ X731)))&(~(X730 @ X734)|((esk32_1 @ X730)=(X734))|((X730 @ (esk31_2 @ X730 @ X731))|~(X730 @ X731))))&(((X730 @ (esk32_1 @ X730))|(((X731)!=(esk31_2 @ X730 @ X731))|~(X730 @ X731)))&(~(X730 @ X734)|((esk32_1 @ X730)=(X734))|(((X731)!=(esk31_2 @ X730 @ X731))|~(X730 @ X731)))))&(((((X735 @ (esk35_1 @ X735))|(X735 @ (esk33_1 @ X735))|~(X735 @ X736))&(~(X735 @ X740)|((esk35_1 @ X735)=(X740))|(X735 @ (esk33_1 @ X735))|~(X735 @ X736)))&((((X735 @ (esk35_1 @ X735))|(X735 @ (esk34_1 @ X735))|~(X735 @ X736))&(~(X735 @ X740)|((esk35_1 @ X735)=(X740))|(X735 @ (esk34_1 @ X735))|~(X735 @ X736)))&(((X735 @ (esk35_1 @ X735))|((esk33_1 @ X735)!=(esk34_1 @ X735))|~(X735 @ X736))&(~(X735 @ X740)|((esk35_1 @ X735)=(X740))|((esk33_1 @ X735)!=(esk34_1 @ X735))|~(X735 @ X736)))))&(((((X741 @ (esk37_1 @ X741))|(~(X741 @ (esk36_2 @ X741 @ X742))|((esk36_2 @ X741 @ X742)!=(X742))))&(~(X741 @ X745)|((esk37_1 @ X741)=(X745))|(~(X741 @ (esk36_2 @ X741 @ X742))|((esk36_2 @ X741 @ X742)!=(X742)))))&(((X741 @ (esk37_1 @ X741))|((X741 @ (esk36_2 @ X741 @ X742))|((esk36_2 @ X741 @ X742)=(X742))))&(~(X741 @ X745)|((esk37_1 @ X741)=(X745))|((X741 @ (esk36_2 @ X741 @ X742))|((esk36_2 @ X741 @ X742)=(X742))))))&((((X746)!=(X747))|(((X748)!=(X749))|(~(in @ X748 @ X746)|(in @ X749 @ X747))))&(((~(in @ X752 @ X750)|(in @ X753 @ X751)|((X752)!=(X753))|((X750)!=(X751)))&(~(in @ X753 @ X751)|(in @ X752 @ X750)|((X752)!=(X753))|((X750)!=(X751))))&((((X754 @ (esk38_2 @ X754 @ X755))|~(X754 @ X755)|(~(X754 @ X757)|(~(X754 @ X758)|((X757)=(X758)))))&(((X755)!=(esk38_2 @ X754 @ X755))|~(X754 @ X755)|(~(X754 @ X757)|(~(X754 @ X758)|((X757)=(X758))))))&(((((((X760 @ (esk42_2 @ X759 @ X760))|((X759 @ (esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|((esk39_2 @ X759 @ X760)=(esk40_2 @ X759 @ X760)))&(~(X760 @ X766)|((esk42_2 @ X759 @ X760)=(X766))|((X759 @ (esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|((esk39_2 @ X759 @ X760)=(esk40_2 @ X759 @ X760))))&(((X760 @ (esk42_2 @ X759 @ X760))|(((X763)!=(esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|((esk39_2 @ X759 @ X760)=(esk40_2 @ X759 @ X760)))&(~(X760 @ X766)|((esk42_2 @ X759 @ X760)=(X766))|(((X763)!=(esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|((esk39_2 @ X759 @ X760)=(esk40_2 @ X759 @ X760)))))&((((X759 @ (esk44_2 @ X759 @ X760))|((X760 @ (esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|((esk39_2 @ X759 @ X760)=(esk40_2 @ X759 @ X760)))&(~(X759 @ X770)|((esk44_2 @ X759 @ X760)=(X770))|((X760 @ (esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|((esk39_2 @ X759 @ X760)=(esk40_2 @ X759 @ X760))))&(((X759 @ (esk44_2 @ X759 @ X760))|(((X767)!=(esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|((esk39_2 @ X759 @ X760)=(esk40_2 @ X759 @ X760)))&(~(X759 @ X770)|((esk44_2 @ X759 @ X760)=(X770))|(((X767)!=(esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|((esk39_2 @ X759 @ X760)=(esk40_2 @ X759 @ X760))))))&((((((X760 @ (esk42_2 @ X759 @ X760))|((X759 @ (esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|(~(X759 @ (esk39_2 @ X759 @ X760))|~(X760 @ (esk40_2 @ X759 @ X760))))&(~(X760 @ X766)|((esk42_2 @ X759 @ X760)=(X766))|((X759 @ (esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|(~(X759 @ (esk39_2 @ X759 @ X760))|~(X760 @ (esk40_2 @ X759 @ X760)))))&(((X760 @ (esk42_2 @ X759 @ X760))|(((X763)!=(esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|(~(X759 @ (esk39_2 @ X759 @ X760))|~(X760 @ (esk40_2 @ X759 @ X760))))&(~(X760 @ X766)|((esk42_2 @ X759 @ X760)=(X766))|(((X763)!=(esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|(~(X759 @ (esk39_2 @ X759 @ X760))|~(X760 @ (esk40_2 @ X759 @ X760))))))&((((X759 @ (esk44_2 @ X759 @ X760))|((X760 @ (esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|(~(X759 @ (esk39_2 @ X759 @ X760))|~(X760 @ (esk40_2 @ X759 @ X760))))&(~(X759 @ X770)|((esk44_2 @ X759 @ X760)=(X770))|((X760 @ (esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|(~(X759 @ (esk39_2 @ X759 @ X760))|~(X760 @ (esk40_2 @ X759 @ X760)))))&(((X759 @ (esk44_2 @ X759 @ X760))|(((X767)!=(esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|(~(X759 @ (esk39_2 @ X759 @ X760))|~(X760 @ (esk40_2 @ X759 @ X760))))&(~(X759 @ X770)|((esk44_2 @ X759 @ X760)=(X770))|(((X767)!=(esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|(~(X759 @ (esk39_2 @ X759 @ X760))|~(X760 @ (esk40_2 @ X759 @ X760)))))))&(((((X760 @ (esk42_2 @ X759 @ X760))|((X759 @ (esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|((X759 @ (esk39_2 @ X759 @ X760))|(X760 @ (esk40_2 @ X759 @ X760))))&(~(X760 @ X766)|((esk42_2 @ X759 @ X760)=(X766))|((X759 @ (esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|((X759 @ (esk39_2 @ X759 @ X760))|(X760 @ (esk40_2 @ X759 @ X760)))))&(((X760 @ (esk42_2 @ X759 @ X760))|(((X763)!=(esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|((X759 @ (esk39_2 @ X759 @ X760))|(X760 @ (esk40_2 @ X759 @ X760))))&(~(X760 @ X766)|((esk42_2 @ X759 @ X760)=(X766))|(((X763)!=(esk41_3 @ X759 @ X760 @ X763))|~(X759 @ X763))|((X759 @ (esk39_2 @ X759 @ X760))|(X760 @ (esk40_2 @ X759 @ X760))))))&((((X759 @ (esk44_2 @ X759 @ X760))|((X760 @ (esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|((X759 @ (esk39_2 @ X759 @ X760))|(X760 @ (esk40_2 @ X759 @ X760))))&(~(X759 @ X770)|((esk44_2 @ X759 @ X760)=(X770))|((X760 @ (esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|((X759 @ (esk39_2 @ X759 @ X760))|(X760 @ (esk40_2 @ X759 @ X760)))))&(((X759 @ (esk44_2 @ X759 @ X760))|(((X767)!=(esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|((X759 @ (esk39_2 @ X759 @ X760))|(X760 @ (esk40_2 @ X759 @ X760))))&(~(X759 @ X770)|((esk44_2 @ X759 @ X760)=(X770))|(((X767)!=(esk43_3 @ X759 @ X760 @ X767))|~(X760 @ X767))|((X759 @ (esk39_2 @ X759 @ X760))|(X760 @ (esk40_2 @ X759 @ X760)))))))))&(((emptyset)=(emptyset))&((((X771)!=(X772))|(((X773)!=(X774))|((setadjoin @ X771 @ X773)=(setadjoin @ X772 @ X774))))&((((X775)!=(X776))|((powerset @ X775)=(powerset @ X776)))&((((X777)!=(X778))|((setunion @ X777)=(setunion @ X778)))&(((omega)=(omega))&((((X779 @ (esk45_2 @ X779 @ X780))|~(X779 @ X780)|(~(X779 @ X782)|(~(X779 @ X783)|((X782)=(X783)))))&(((X780)!=(esk45_2 @ X779 @ X780))|~(X779 @ X780)|(~(X779 @ X782)|(~(X779 @ X783)|((X782)=(X783))))))&((((((X785 @ (esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|((X784 @ (esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|((esk46_2 @ X784 @ X785)=(esk47_2 @ X784 @ X785)))&(((X790)!=(esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|((X784 @ (esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|((esk46_2 @ X784 @ X785)=(esk47_2 @ X784 @ X785))))&(((X785 @ (esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|(((X788)!=(esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|((esk46_2 @ X784 @ X785)=(esk47_2 @ X784 @ X785)))&(((X790)!=(esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|(((X788)!=(esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|((esk46_2 @ X784 @ X785)=(esk47_2 @ X784 @ X785)))))&(((((X785 @ (esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|((X784 @ (esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|(~(X784 @ (esk46_2 @ X784 @ X785))|~(X785 @ (esk47_2 @ X784 @ X785))))&(((X790)!=(esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|((X784 @ (esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|(~(X784 @ (esk46_2 @ X784 @ X785))|~(X785 @ (esk47_2 @ X784 @ X785)))))&(((X785 @ (esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|(((X788)!=(esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|(~(X784 @ (esk46_2 @ X784 @ X785))|~(X785 @ (esk47_2 @ X784 @ X785))))&(((X790)!=(esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|(((X788)!=(esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|(~(X784 @ (esk46_2 @ X784 @ X785))|~(X785 @ (esk47_2 @ X784 @ X785))))))&((((X785 @ (esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|((X784 @ (esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|((X784 @ (esk46_2 @ X784 @ X785))|(X785 @ (esk47_2 @ X784 @ X785))))&(((X790)!=(esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|((X784 @ (esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|((X784 @ (esk46_2 @ X784 @ X785))|(X785 @ (esk47_2 @ X784 @ X785)))))&(((X785 @ (esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|(((X788)!=(esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|((X784 @ (esk46_2 @ X784 @ X785))|(X785 @ (esk47_2 @ X784 @ X785))))&(((X790)!=(esk49_3 @ X784 @ X785 @ X790))|~(X785 @ X790)|((descr @ X784)=(descr @ X785))|(((X788)!=(esk48_3 @ X784 @ X785 @ X788))|~(X784 @ X788))|((X784 @ (esk46_2 @ X784 @ X785))|(X785 @ (esk47_2 @ X784 @ X785))))))))&((((in @ (esk50_4 @ X792 @ X793 @ X794 @ X795) @ X792)|((dsetconstr @ X792 @ X794)=(dsetconstr @ X793 @ X795))|((X792)!=(X793)))&(((in @ (esk51_4 @ X792 @ X793 @ X794 @ X795) @ X793)|((dsetconstr @ X792 @ X794)=(dsetconstr @ X793 @ X795))|((X792)!=(X793)))&((((esk50_4 @ X792 @ X793 @ X794 @ X795)=(esk51_4 @ X792 @ X793 @ X794 @ X795))|((dsetconstr @ X792 @ X794)=(dsetconstr @ X793 @ X795))|((X792)!=(X793)))&((~(X794 @ (esk50_4 @ X792 @ X793 @ X794 @ X795))|~(X795 @ (esk51_4 @ X792 @ X793 @ X794 @ X795))|((dsetconstr @ X792 @ X794)=(dsetconstr @ X793 @ X795))|((X792)!=(X793)))&((X794 @ (esk50_4 @ X792 @ X793 @ X794 @ X795))|(X795 @ (esk51_4 @ X792 @ X793 @ X794 @ X795))|((dsetconstr @ X792 @ X794)=(dsetconstr @ X793 @ X795))|((X792)!=(X793)))))))&((((in @ (esk52_2 @ X798 @ X799) @ X798)|(subset @ X798 @ X799))&(~(in @ (esk52_2 @ X798 @ X799) @ X799)|(subset @ X798 @ X799)))&((((X801)!=(X802))|(subset @ X802 @ X801))&((((X803)!=(X804))|(subset @ X803 @ X804))&((((in @ (esk53_2 @ X805 @ X806) @ X805)|(subset @ X805 @ X806))&(~(in @ (esk53_2 @ X805 @ X806) @ X806)|(subset @ X805 @ X806)))&((subset @ emptyset @ X808)&((~(subset @ X809 @ X810)|(~(in @ X811 @ X809)|(in @ X811 @ X810)))&((~(subset @ X812 @ X813)|((in @ X814 @ X813)|~(in @ X814 @ X812)))&((~(in @ X817 @ X815)|((in @ X817 @ X816)|~(subset @ X815 @ X816)))&(((subset @ X818 @ X819)|((X818)!=(X819)))&((~(in @ X822 @ X820)|((in @ X822 @ X821)|((X820)!=(X821))))&((subset @ X823 @ X823)&((~(subset @ X824 @ X825)|(~(subset @ X825 @ X826)|(subset @ X824 @ X826)))&((subset @ X828 @ (setadjoin @ X827 @ X828))&((subset @ esk54_0 @ esk56_0)&~(subset @ esk54_0 @ (setadjoin @ esk55_0 @ esk56_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_131])])])])])])])).
% 0.66/0.41 thf(c_0_133, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ X2 @ X4)|~((subset @ X2 @ X3))|~((subset @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_132])).
% 0.66/0.41 thf(c_0_134, negated_conjecture, ![X3:$i, X2:$i]:((subset @ X2 @ (setadjoin @ X3 @ X2))), inference(split_conjunct,[status(thm)],[c_0_132])).
% 0.66/0.41 thf(c_0_135, negated_conjecture, ~((subset @ esk54_0 @ (setadjoin @ esk55_0 @ esk56_0))), inference(split_conjunct,[status(thm)],[c_0_132])).
% 0.66/0.41 thf(c_0_136, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ X2 @ (setadjoin @ X3 @ X4))|~((subset @ X2 @ X4)))), inference(spm,[status(thm)],[c_0_133, c_0_134])).
% 0.66/0.41 thf(c_0_137, negated_conjecture, (subset @ esk54_0 @ esk56_0), inference(split_conjunct,[status(thm)],[c_0_132])).
% 0.66/0.41 thf(c_0_138, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_136]), c_0_137])]), ['proof']).
% 0.66/0.41 % SZS output end CNFRefutation
% 0.66/0.41 % Parsed axioms : 194
% 0.66/0.41 % Removed by relevancy pruning/SinE : 0
% 0.66/0.41 % Initial clauses : 303
% 0.66/0.41 % Removed in clause preprocessing : 117
% 0.66/0.41 % Initial clauses in saturation : 186
% 0.66/0.41 % Processed clauses : 94
% 0.66/0.41 % ...of these trivial : 2
% 0.66/0.41 % ...subsumed : 31
% 0.66/0.41 % ...remaining for further processing : 61
% 0.66/0.41 % Other redundant clauses eliminated : 6
% 0.66/0.41 % Clauses deleted for lack of memory : 0
% 0.66/0.41 % Backward-subsumed : 0
% 0.66/0.41 % Backward-rewritten : 2
% 0.66/0.41 % Generated clauses : 168
% 0.66/0.41 % ...of the previous two non-redundant : 138
% 0.66/0.41 % ...aggressively subsumed : 0
% 0.66/0.41 % Contextual simplify-reflections : 0
% 0.66/0.41 % Paramodulations : 162
% 0.66/0.41 % Factorizations : 0
% 0.66/0.41 % NegExts : 0
% 0.66/0.41 % Equation resolutions : 6
% 0.66/0.41 % Disequality decompositions : 0
% 0.66/0.41 % Total rewrite steps : 32
% 0.66/0.41 % ...of those cached : 15
% 0.66/0.41 % Propositional unsat checks : 0
% 0.66/0.41 % Propositional check models : 0
% 0.66/0.41 % Propositional check unsatisfiable : 0
% 0.66/0.41 % Propositional clauses : 0
% 0.66/0.41 % Propositional clauses after purity: 0
% 0.66/0.41 % Propositional unsat core size : 0
% 0.66/0.41 % Propositional preprocessing time : 0.000
% 0.66/0.41 % Propositional encoding time : 0.000
% 0.66/0.41 % Propositional solver time : 0.000
% 0.66/0.41 % Success case prop preproc time : 0.000
% 0.66/0.41 % Success case prop encoding time : 0.000
% 0.66/0.41 % Success case prop solver time : 0.000
% 0.66/0.41 % Current number of processed clauses : 53
% 0.66/0.41 % Positive orientable unit clauses : 18
% 0.66/0.41 % Positive unorientable unit clauses: 0
% 0.66/0.41 % Negative unit clauses : 2
% 0.66/0.41 % Non-unit-clauses : 33
% 0.66/0.41 % Current number of unprocessed clauses: 228
% 0.66/0.41 % ...number of literals in the above : 780
% 0.66/0.41 % Current number of archived formulas : 0
% 0.66/0.41 % Current number of archived clauses : 2
% 0.66/0.41 % Clause-clause subsumption calls (NU) : 128
% 0.66/0.41 % Rec. Clause-clause subsumption calls : 104
% 0.66/0.41 % Non-unit clause-clause subsumptions : 23
% 0.66/0.41 % Unit Clause-clause subsumption calls : 5
% 0.66/0.41 % Rewrite failures with RHS unbound : 0
% 0.66/0.41 % BW rewrite match attempts : 4
% 0.66/0.41 % BW rewrite match successes : 2
% 0.66/0.41 % Condensation attempts : 0
% 0.66/0.41 % Condensation successes : 0
% 0.66/0.41 % Termbank termtop insertions : 27801
% 0.66/0.41 % Search garbage collected termcells : 10006
% 0.66/0.41
% 0.66/0.41 % -------------------------------------------------
% 0.66/0.41 % User time : 0.057 s
% 0.66/0.41 % System time : 0.012 s
% 0.66/0.41 % Total time : 0.069 s
% 0.66/0.41 % Maximum resident set size: 6128 pages
% 0.66/0.41
% 0.66/0.41 % -------------------------------------------------
% 0.66/0.41 % User time : 0.068 s
% 0.66/0.41 % System time : 0.019 s
% 0.66/0.41 % Total time : 0.087 s
% 0.66/0.41 % Maximum resident set size: 5120 pages
% 0.66/0.41 % E exiting
%------------------------------------------------------------------------------