%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU570^1 : 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:24:33 AM UTC 2026
% Result : Theorem 0.36s 0.27s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU570^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n008.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 13:51:39 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running higher-order theorem proving
% 0.10/0.21 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.RalEjNirje/E---3.1_3187892.p
% 0.36/0.27 % Version: 3.5.1-ho
% 0.36/0.27 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.36/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.27 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.36/0.27 % Starting ehoh_best3_rw with 300s (1) cores
% 0.36/0.27 % Starting almost_fo_3 with 300s (1) cores
% 0.36/0.27 % Starting new_ho_13 with 300s (1) cores
% 0.36/0.27 % ehoh_best3_avoidappvar with pid 3187905 completed with status 0
% 0.36/0.27 % Result found by ehoh_best3_avoidappvar
% 0.36/0.27 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.36/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.27 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.36/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.36/0.27 % No SInE strategy applied
% 0.36/0.27 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.36/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.36/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.36/0.27 % Starting ehoh_best3_avoidappvar with 151s (1) cores
% 0.36/0.27 % Starting sh5l with 136s (1) cores
% 0.36/0.27 % Starting lpo1_def_fix with 136s (1) cores
% 0.36/0.27 % Starting full_lambda_2 with 136s (1) cores
% 0.36/0.27 % SubtermCWHack with pid 3187909 completed with status 0
% 0.36/0.27 % Result found by SubtermCWHack
% 0.36/0.27 % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.36/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.27 % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.36/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.36/0.27 % No SInE strategy applied
% 0.36/0.27 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.36/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.36/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.36/0.27 % Preprocessing time : 0.004 s
% 0.36/0.27
% 0.36/0.27 % Proof found!
% 0.36/0.27 % SZS status Theorem
% 0.36/0.27 % SZS output start CNFRefutation
% 0.36/0.27 thf(decl_23, type, in: $i > $i > $o).
% 0.36/0.27 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.36/0.27 thf(decl_25, type, setextAx: $o).
% 0.36/0.27 thf(decl_26, type, emptyset: $i).
% 0.36/0.27 thf(decl_27, type, emptysetAx: $o).
% 0.36/0.27 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.36/0.27 thf(decl_29, type, setadjoinAx: $o).
% 0.36/0.27 thf(decl_30, type, powerset: $i > $i).
% 0.36/0.27 thf(decl_31, type, powersetAx: $o).
% 0.36/0.27 thf(decl_32, type, setunion: $i > $i).
% 0.36/0.27 thf(decl_33, type, setunionAx: $o).
% 0.36/0.27 thf(decl_34, type, omega: $i).
% 0.36/0.27 thf(decl_35, type, omega0Ax: $o).
% 0.36/0.27 thf(decl_36, type, omegaSAx: $o).
% 0.36/0.27 thf(decl_37, type, omegaIndAx: $o).
% 0.36/0.27 thf(decl_38, type, replAx: $o).
% 0.36/0.27 thf(decl_39, type, foundationAx: $o).
% 0.36/0.27 thf(decl_40, type, wellorderingAx: $o).
% 0.36/0.27 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.36/0.27 thf(decl_42, type, descrp: $o).
% 0.36/0.27 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.36/0.27 thf(decl_44, type, dsetconstrI: $o).
% 0.36/0.27 thf(decl_45, type, dsetconstrEL: $o).
% 0.36/0.27 thf(decl_46, type, dsetconstrER: $o).
% 0.36/0.27 thf(decl_47, type, exuE1: $o).
% 0.36/0.27 thf(decl_48, type, prop2set: $o > $i).
% 0.36/0.27 thf(decl_49, type, prop2setE: $o).
% 0.36/0.27 thf(decl_50, type, emptysetE: $o).
% 0.36/0.27 thf(decl_51, type, emptysetimpfalse: $o).
% 0.36/0.27 thf(decl_52, type, notinemptyset: $o).
% 0.36/0.27 thf(decl_53, type, exuE3e: $o).
% 0.36/0.27 thf(decl_54, type, setext: $o).
% 0.36/0.27 thf(decl_55, type, emptyI: $o).
% 0.36/0.27 thf(decl_56, type, noeltsimpempty: $o).
% 0.36/0.27 thf(decl_57, type, setbeta: $o).
% 0.36/0.27 thf(decl_58, type, nonempty: $i > $o).
% 0.36/0.27 thf(decl_59, type, nonemptyE1: $o).
% 0.36/0.27 thf(decl_60, type, nonemptyI: $o).
% 0.36/0.27 thf(decl_61, type, nonemptyI1: $o).
% 0.36/0.27 thf(decl_62, type, setadjoinIL: $o).
% 0.36/0.27 thf(decl_63, type, emptyinunitempty: $o).
% 0.36/0.27 thf(decl_64, type, setadjoinIR: $o).
% 0.36/0.27 thf(decl_65, type, setadjoinE: $o).
% 0.36/0.27 thf(decl_66, type, setadjoinOr: $o).
% 0.36/0.27 thf(decl_67, type, setoftrueEq: $o).
% 0.36/0.27 thf(decl_68, type, powersetI: $o).
% 0.36/0.27 thf(decl_69, type, emptyinPowerset: $o).
% 0.36/0.27 thf(decl_70, type, emptyInPowerset: $o).
% 0.36/0.27 thf(decl_71, type, powersetE: $o).
% 0.36/0.27 thf(decl_72, type, setunionI: $o).
% 0.36/0.27 thf(decl_73, type, setunionE: $o).
% 0.36/0.27 thf(decl_74, type, subPowSU: $o).
% 0.36/0.27 thf(decl_75, type, exuE2: $o).
% 0.36/0.27 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.36/0.27 thf(decl_77, type, uniqinunit: $o).
% 0.36/0.27 thf(decl_78, type, notinsingleton: $o).
% 0.36/0.27 thf(decl_79, type, eqinunit: $o).
% 0.36/0.27 thf(decl_80, type, singletonsswitch: $o).
% 0.36/0.27 thf(decl_81, type, upairsetE: $o).
% 0.36/0.27 thf(decl_82, type, upairsetIL: $o).
% 0.36/0.27 thf(decl_83, type, upairsetIR: $o).
% 0.36/0.27 thf(decl_84, type, emptyE1: $o).
% 0.36/0.27 thf(decl_85, type, vacuousDall: $o).
% 0.36/0.27 thf(decl_86, type, quantDeMorgan1: $o).
% 0.36/0.27 thf(decl_87, type, quantDeMorgan2: $o).
% 0.36/0.27 thf(decl_88, type, quantDeMorgan3: $o).
% 0.36/0.27 thf(decl_89, type, quantDeMorgan4: $o).
% 0.36/0.27 thf(decl_90, type, prop2setI: $o).
% 0.36/0.27 thf(decl_91, type, set2prop: $i > $o).
% 0.36/0.27 thf(decl_92, type, prop2set2propI: $o).
% 0.36/0.27 thf(decl_93, type, notdexE: $o).
% 0.36/0.27 thf(decl_94, type, notdallE: $o).
% 0.36/0.27 thf(decl_95, type, exuI1: $o).
% 0.36/0.27 thf(decl_96, type, exuI3: $o).
% 0.36/0.27 thf(decl_97, type, exuI2: $o).
% 0.36/0.27 thf(decl_98, type, inCongP: $o).
% 0.36/0.27 thf(decl_99, type, in__Cong: $o).
% 0.36/0.27 thf(decl_100, type, exuE3u: $o).
% 0.36/0.27 thf(decl_101, type, exu__Cong: $o).
% 0.36/0.27 thf(decl_102, type, emptyset__Cong: $o).
% 0.36/0.27 thf(decl_103, type, setadjoin__Cong: $o).
% 0.36/0.27 thf(decl_104, type, powerset__Cong: $o).
% 0.36/0.27 thf(decl_105, type, setunion__Cong: $o).
% 0.36/0.27 thf(decl_106, type, omega__Cong: $o).
% 0.36/0.27 thf(decl_107, type, exuEu: $o).
% 0.36/0.27 thf(decl_108, type, descr__Cong: $o).
% 0.36/0.27 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.36/0.27 thf(decl_110, type, subset: $i > $i > $o).
% 0.36/0.27 thf(decl_113, type, subsetI1: $o).
% 0.36/0.27 thf(decl_114, type, eqimpsubset2: $o).
% 0.36/0.27 thf(decl_115, type, eqimpsubset1: $o).
% 0.36/0.27 thf(decl_116, type, subsetI2: $o).
% 0.36/0.27 thf(decl_117, type, emptysetsubset: $o).
% 0.36/0.27 thf(decl_118, type, subsetE: $o).
% 0.36/0.27 thf(decl_119, type, subsetE2: $o).
% 0.36/0.27 thf(decl_120, type, notsubsetI: $o).
% 0.36/0.27 thf(decl_121, type, notequalI1: $o).
% 0.36/0.27 thf(decl_122, type, notequalI2: $o).
% 0.36/0.27 thf(decl_123, type, subsetRefl: $o).
% 0.36/0.27 thf(decl_124, type, epred1_0: $o).
% 0.36/0.27 thf(decl_125, type, esk1_2: $i > $i > $i).
% 0.36/0.27 thf(decl_126, type, esk2_2: $i > $i > $i).
% 0.36/0.27 thf(decl_127, type, esk3_2: $i > $i > $i).
% 0.36/0.27 thf(decl_128, type, esk4_1: $i > $i).
% 0.36/0.27 thf(decl_129, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.36/0.27 thf(decl_130, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.36/0.27 thf(decl_131, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.36/0.27 thf(decl_132, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.36/0.27 thf(decl_133, type, esk9_1: $i > $i).
% 0.36/0.27 thf(decl_134, type, esk10_2: ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_135, type, esk11_2: ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_136, type, esk12_1: ($i > $o) > $i).
% 0.36/0.27 thf(decl_137, type, esk13_2: ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_138, type, esk14_1: ($i > $o) > $i).
% 0.36/0.27 thf(decl_139, type, esk15_2: $i > $i > $i).
% 0.36/0.27 thf(decl_140, type, esk16_2: $i > $i > $i).
% 0.36/0.27 thf(decl_141, type, esk17_1: $i > $i).
% 0.36/0.27 thf(decl_142, type, esk18_1: $i > $i).
% 0.36/0.27 thf(decl_143, type, esk19_1: $i > $i).
% 0.36/0.27 thf(decl_144, type, esk20_2: $i > $i > $i).
% 0.36/0.27 thf(decl_145, type, esk21_3: $i > $i > $o > $i).
% 0.36/0.27 thf(decl_146, type, esk22_2: ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_147, type, esk23_1: ($i > $o) > $i).
% 0.36/0.27 thf(decl_148, type, esk24_1: $i > $i).
% 0.36/0.27 thf(decl_149, type, esk25_2: $i > ($i > $o) > $i).
% 0.36/0.27 thf(decl_150, type, esk26_2: $i > ($i > $o) > $i).
% 0.36/0.27 thf(decl_151, type, esk27_2: $i > ($i > $o) > $i).
% 0.36/0.27 thf(decl_152, type, esk28_2: $i > ($i > $o) > $i).
% 0.36/0.27 thf(decl_153, type, esk29_2: $i > ($i > $o) > $i).
% 0.36/0.27 thf(decl_154, type, esk30_2: $i > ($i > $o) > $i).
% 0.36/0.27 thf(decl_155, type, esk31_2: ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_156, type, esk32_1: ($i > $o) > $i).
% 0.36/0.27 thf(decl_157, type, esk33_1: ($i > $o) > $i).
% 0.36/0.27 thf(decl_158, type, esk34_1: ($i > $o) > $i).
% 0.36/0.27 thf(decl_159, type, esk35_1: ($i > $o) > $i).
% 0.36/0.27 thf(decl_160, type, esk36_2: ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_161, type, esk37_1: ($i > $o) > $i).
% 0.36/0.27 thf(decl_162, type, esk38_2: ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_163, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.36/0.27 thf(decl_164, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.36/0.27 thf(decl_165, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_166, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.36/0.27 thf(decl_167, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_168, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.36/0.27 thf(decl_169, type, esk45_2: ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_170, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.36/0.27 thf(decl_171, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.36/0.27 thf(decl_172, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_173, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.36/0.27 thf(decl_174, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.36/0.27 thf(decl_175, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.36/0.27 thf(decl_176, type, esk52_2: $i > $i > $i).
% 0.36/0.27 thf(decl_177, type, esk53_2: $i > $i > $i).
% 0.36/0.27 thf(decl_178, type, esk54_0: $i).
% 0.36/0.27 thf(decl_179, type, esk55_0: $i).
% 0.36/0.27 thf(decl_180, type, esk56_0: $i).
% 0.36/0.27 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', replAx)).
% 0.36/0.27 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', exu)).
% 0.36/0.27 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', descrp)).
% 0.36/0.27 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', exuE1)).
% 0.36/0.27 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', exuE3e)).
% 0.36/0.27 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', nonempty)).
% 0.36/0.27 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', nonemptyI)).
% 0.36/0.27 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', exuE2)).
% 0.36/0.27 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.RalEjNirje/E---3.1_3187892.p', exuI1)).
% 0.36/0.27 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', exuI3)).
% 0.36/0.27 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', exuI2)).
% 0.36/0.27 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.RalEjNirje/E---3.1_3187892.p', exuE3u)).
% 0.36/0.27 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', exu__Cong)).
% 0.36/0.27 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', exuEu)).
% 0.36/0.27 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', descr__Cong)).
% 0.36/0.27 thf(subsetTrans, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', subsetTrans)).
% 0.36/0.27 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', dsetconstrI)).
% 0.36/0.27 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', dsetconstrEL)).
% 0.36/0.27 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', dsetconstrER)).
% 0.36/0.27 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setbeta)).
% 0.36/0.27 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', nonemptyE1)).
% 0.36/0.27 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', nonemptyI1)).
% 0.36/0.27 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setoftrueEq)).
% 0.36/0.27 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', nonemptyImpWitness)).
% 0.36/0.27 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.RalEjNirje/E---3.1_3187892.p', emptyE1)).
% 0.36/0.27 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', dsetconstr__Cong)).
% 0.36/0.27 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setextAx)).
% 0.36/0.27 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', emptysetAx)).
% 0.36/0.27 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setadjoinAx)).
% 0.36/0.27 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', powersetAx)).
% 0.36/0.27 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setunionAx)).
% 0.36/0.27 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', omega0Ax)).
% 0.36/0.27 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', omegaSAx)).
% 0.36/0.27 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.RalEjNirje/E---3.1_3187892.p', omegaIndAx)).
% 0.36/0.27 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.RalEjNirje/E---3.1_3187892.p', foundationAx)).
% 0.36/0.27 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', wellorderingAx)).
% 0.36/0.27 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', prop2setE)).
% 0.36/0.27 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', emptysetE)).
% 0.36/0.27 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', emptysetimpfalse)).
% 0.36/0.27 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', notinemptyset)).
% 0.36/0.27 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.RalEjNirje/E---3.1_3187892.p', setext)).
% 0.36/0.27 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', emptyI)).
% 0.36/0.27 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', noeltsimpempty)).
% 0.36/0.27 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setadjoinIL)).
% 0.36/0.27 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', emptyinunitempty)).
% 0.36/0.27 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setadjoinIR)).
% 0.36/0.27 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setadjoinE)).
% 0.36/0.27 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setadjoinOr)).
% 0.36/0.27 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', powersetI)).
% 0.36/0.27 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', emptyinPowerset)).
% 0.36/0.27 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', emptyInPowerset)).
% 0.36/0.27 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', powersetE)).
% 0.36/0.27 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setunionI)).
% 0.36/0.27 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setunionE)).
% 0.36/0.27 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', subPowSU)).
% 0.36/0.27 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', uniqinunit)).
% 0.36/0.27 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', notinsingleton)).
% 0.36/0.27 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', eqinunit)).
% 0.36/0.27 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', singletonsswitch)).
% 0.36/0.27 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', upairsetE)).
% 0.36/0.27 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', upairsetIL)).
% 0.36/0.27 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', upairsetIR)).
% 0.36/0.27 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', vacuousDall)).
% 0.36/0.27 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', quantDeMorgan1)).
% 0.36/0.27 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', quantDeMorgan2)).
% 0.36/0.27 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', quantDeMorgan3)).
% 0.36/0.27 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', quantDeMorgan4)).
% 0.36/0.27 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', prop2setI)).
% 0.36/0.27 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', prop2set2propI)).
% 0.36/0.27 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', notdexE)).
% 0.36/0.27 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', notdallE)).
% 0.36/0.27 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', inCongP)).
% 0.36/0.27 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', in__Cong)).
% 0.36/0.27 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', emptyset__Cong)).
% 0.36/0.27 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setadjoin__Cong)).
% 0.36/0.27 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', powerset__Cong)).
% 0.36/0.27 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', setunion__Cong)).
% 0.36/0.27 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', omega__Cong)).
% 0.36/0.27 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', subsetI1)).
% 0.36/0.27 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', eqimpsubset2)).
% 0.36/0.27 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', eqimpsubset1)).
% 0.36/0.27 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', subsetI2)).
% 0.36/0.27 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', emptysetsubset)).
% 0.36/0.27 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', subsetE)).
% 0.36/0.27 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', subsetE2)).
% 0.36/0.27 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', notsubsetI)).
% 0.36/0.27 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', notequalI1)).
% 0.36/0.27 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', notequalI2)).
% 0.36/0.27 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.RalEjNirje/E---3.1_3187892.p', subsetRefl)).
% 0.36/0.27 thf(c_0_89, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.36/0.27 thf(c_0_90, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.36/0.27 thf(c_0_91, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.36/0.27 thf(c_0_92, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.36/0.27 thf(c_0_93, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.36/0.27 thf(c_0_94, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.36/0.27 thf(c_0_95, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.36/0.27 thf(c_0_96, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.36/0.27 thf(c_0_97, 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])).
% 0.36/0.27 thf(c_0_98, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.36/0.27 thf(c_0_99, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.36/0.27 thf(c_0_100, 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])).
% 0.36/0.27 thf(c_0_101, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.36/0.27 thf(c_0_102, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.36/0.27 thf(c_0_103, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.36/0.27 thf(c_0_104, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[subsetTrans])).
% 0.36/0.27 thf(c_0_105, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X260:$i]:(((((X6 @ X2 @ X260)))&(![X261:$i]:(((((X6 @ X2 @ X261)))=>(((X260)=(X261)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_89, c_0_90])).
% 0.36/0.27 thf(c_0_106, plain, ((descrp)=(![X1:$i > $o]:((((?[X262:$i]:(((((X1 @ X262)))&(![X263:$i]:(((((X1 @ X263)))=>(((X262)=(X263))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_90])).
% 0.36/0.27 thf(c_0_107, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.36/0.27 thf(c_0_108, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.36/0.27 thf(c_0_109, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.36/0.27 thf(c_0_110, plain, ((exuE1)=(![X1:$i > $o]:((((?[X264:$i]:(((((X1 @ X264)))&(![X265:$i]:(((((X1 @ X265)))=>(((X264)=(X265))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_90])).
% 0.36/0.27 thf(c_0_111, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X266:$i]:(((((X1 @ X266)))&(![X267:$i]:(((((X1 @ X267)))=>(((X266)=(X267))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_90])).
% 0.36/0.27 thf(c_0_112, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.36/0.27 thf(c_0_113, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_94])).
% 0.36/0.27 thf(c_0_114, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_94])).
% 0.36/0.27 thf(c_0_115, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_94])).
% 0.36/0.27 thf(c_0_116, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.36/0.27 thf(c_0_117, plain, ((exuE2)=(![X1:$i > $o]:((((?[X268:$i]:(((((X1 @ X268)))&(![X269:$i]:(((((X1 @ X269)))=>(((X268)=(X269))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_90])).
% 0.36/0.27 thf(c_0_118, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_94])).
% 0.36/0.27 thf(c_0_119, 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])).
% 0.36/0.27 thf(c_0_120, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X270:$i]:(((((X1 @ X270)))&(![X271:$i]:(((((X1 @ X271)))=>(((X270)=(X271)))))))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_90])).
% 0.36/0.27 thf(c_0_121, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X272:$i]:(((((X1 @ X272)))&(![X273:$i]:(((((X1 @ X273)))=>(((X272)=(X273)))))))))))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_90])).
% 0.36/0.27 thf(c_0_122, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X274:$i]:(((((X1 @ X274)))&(![X275:$i]:(((((X1 @ X275)))=>(((X274)=(X275)))))))))))))), inference(apply_def,[status(thm)],[c_0_99, c_0_90])).
% 0.36/0.27 thf(c_0_123, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X276:$i]:(((((X1 @ X276)))&(![X277:$i]:(((((X1 @ X277)))=>(((X276)=(X277))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_100, c_0_90])).
% 0.36/0.27 thf(c_0_124, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X278:$i]:(((((X1 @ X278)))&(![X279:$i]:(((((X1 @ X279)))=>(((X278)=(X279))))))))))<=>((?[X280:$i]:(((((X17 @ X280)))&(![X281:$i]:(((((X17 @ X281)))=>(((X280)=(X281)))))))))))))))), inference(apply_def,[status(thm)],[c_0_101, c_0_90])).
% 0.36/0.27 thf(c_0_125, plain, ((exuEu)=(![X1:$i > $o]:((((?[X282:$i]:(((((X1 @ X282)))&(![X283:$i]:(((((X1 @ X283)))=>(((X282)=(X283))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_90])).
% 0.36/0.27 thf(c_0_126, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X284:$i]:(((((X1 @ X284)))&(![X285:$i]:(((((X1 @ X285)))=>(((X284)=(X285))))))))))=>((((?[X286:$i]:(((((X17 @ X286)))&(![X287:$i]:(((((X17 @ X287)))=>(((X286)=(X287))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_103, c_0_90])).
% 0.36/0.27 thf(c_0_127, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.36/0.27 thf(c_0_128, plain, ((epred1_0)<=>![X317:$i]:(?[X318:$i]:((((![X319:$i]:(((in @ X319 @ X318)=>![X320:$i]:(((in @ X320 @ X319)=>(in @ X320 @ X317)))))&![X321:$i, X322:$i]:((((in @ X321 @ X317)&(in @ X322 @ X317))=>(![X323:$i]:(((in @ X323 @ X318)=>((in @ X321 @ X323)<=>(in @ X322 @ X323))))=>((X321)=(X322))))))&![X324:$i, X325:$i]:((((in @ X324 @ X318)&(in @ X325 @ X318))=>(![X326:$i]:(((in @ X326 @ X324)=>(in @ X326 @ X325)))|![X327:$i]:(((in @ X327 @ X325)=>(in @ X327 @ X324)))))))&![X328:$i]:(((![X329:$i]:(((in @ X329 @ X328)=>(in @ X329 @ X317)))&?[X330:$i]:((in @ X330 @ X328)))=>?[X331:$i, X332:$i]:(((((in @ X331 @ X318)&(in @ X332 @ X328))&~(?[X333:$i]:(((in @ X333 @ X331)&(in @ X333 @ X328)))))&![X334:$i]:(((in @ X334 @ X318)=>(![X335:$i]:(((in @ X335 @ X334)=>(in @ X335 @ X331)))|(in @ X332 @ X334)))))))))))), introduced(definition)).
% 0.36/0.27 thf(c_0_129, negated_conjecture, ~((![X288:$i, X289:$i]:((![X290:$i]:(((in @ X290 @ X288)<=>(in @ X290 @ X289)))=>((X288)=(X289))))=>(![X291:$i]:(~(in @ X291 @ emptyset))=>(![X292:$i, X293:$i, X294:$i]:(((in @ X294 @ (setadjoin @ X292 @ X293))<=>(((X294)=(X292))|(in @ X294 @ X293))))=>(![X295:$i, X296:$i]:(((in @ X296 @ (powerset @ X295))<=>![X297:$i]:(((in @ X297 @ X296)=>(in @ X297 @ X295)))))=>(![X298:$i, X299:$i]:(((in @ X299 @ (setunion @ X298))<=>?[X300:$i]:(((in @ X299 @ X300)&(in @ X300 @ X298)))))=>((in @ emptyset @ omega)=>(![X301:$i]:(((in @ X301 @ omega)=>(in @ (setadjoin @ X301 @ X301) @ omega)))=>(![X302:$i]:((((in @ emptyset @ X302)&![X303:$i]:((((in @ X303 @ omega)&(in @ X303 @ X302))=>(in @ (setadjoin @ X303 @ X303) @ X302))))=>![X304:$i]:(((in @ X304 @ omega)=>(in @ X304 @ X302)))))=>(![X305:$i > $i > $o, X306:$i]:((![X307:$i]:(((in @ X307 @ X306)=>?[X308:$i]:(((X305 @ X307 @ X308)&![X309:$i]:(((X305 @ X307 @ X309)=>((X308)=(X309))))))))=>?[X310:$i]:(![X311:$i]:(((in @ X311 @ X310)<=>?[X312:$i]:(((in @ X312 @ X306)&(X305 @ X312 @ X311))))))))=>(![X313:$i]:((?[X314:$i]:((in @ X314 @ X313))=>?[X315:$i]:(((in @ X315 @ X313)&~(?[X316:$i]:(((in @ X316 @ X315)&(in @ X316 @ X313))))))))=>((epred1_0)=>(![X336:$i > $o]:((?[X337:$i]:(((X336 @ X337)&![X338:$i]:(((X336 @ X338)=>((X337)=(X338))))))=>(X336 @ (descr @ (^[Z0:$i]:(X336 @ Z0))))))=>(![X339:$i, X340:$i > $o, X341:$i]:(((in @ X341 @ X339)=>((X340 @ X341)=>(in @ X341 @ (dsetconstr @ X339 @ X340)))))=>(![X342:$i, X343:$i > $o, X344:$i]:(((in @ X344 @ (dsetconstr @ X342 @ X343))=>(in @ X344 @ X342)))=>(![X345:$i, X346:$i > $o, X347:$i]:(((in @ X347 @ (dsetconstr @ X345 @ X346))=>(X346 @ X347)))=>(![X348:$i > $o]:((?[X349:$i]:(((X348 @ X349)&![X350:$i]:(((X348 @ X350)=>((X349)=(X350))))))=>?[X351:$i]:(((X348 @ X351)&![X352:$i]:(((X348 @ X352)=>((X351)=(X352))))))))=>(![X353:$o, X354:$i]:(((in @ X354 @ (prop2set @ ((X353))))=>(X353)))=>(![X355:$i]:(((in @ X355 @ emptyset)=>![X356:$o]:((X356))))=>(![X357:$i]:(((in @ X357 @ emptyset)=>~($true)))=>(![X358:$i]:(~(in @ X358 @ emptyset))=>(![X359:$i > $o]:((?[X360:$i]:(((X359 @ X360)&![X361:$i]:(((X359 @ X361)=>((X360)=(X361))))))=>?[X362:$i]:((X359 @ X362))))=>(![X363:$i, X364:$i]:((![X365:$i]:(((in @ X365 @ X363)=>(in @ X365 @ X364)))=>(![X366:$i]:(((in @ X366 @ X364)=>(in @ X366 @ X363)))=>((X363)=(X364)))))=>(![X367:$i]:((![X368:$i]:(~(in @ X368 @ X367))=>((X367)=(emptyset))))=>(![X369:$i]:((![X370:$i]:(~(in @ X370 @ X369))=>((X369)=(emptyset))))=>(![X371:$i, X372:$i > $o, X373:$i]:(((in @ X373 @ X371)=>((in @ X373 @ (dsetconstr @ X371 @ X372))<=>(X372 @ X373))))=>(![X374:$i]:((((X374)!=(emptyset))=>?[X375:$i]:((in @ X375 @ X374))))=>(![X376:$i, X377:$i > $o, X378:$i]:(((in @ X378 @ X376)=>((X377 @ X378)=>((dsetconstr @ X376 @ X377)!=(emptyset)))))=>(![X379:$i]:((?[X380:$i]:((in @ X380 @ X379))=>((X379)!=(emptyset))))=>(![X381:$i, X382:$i]:((in @ X381 @ (setadjoin @ X381 @ X382)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X383:$i, X384:$i, X385:$i]:(((in @ X385 @ X384)=>(in @ X385 @ (setadjoin @ X383 @ X384))))=>(![X386:$i, X387:$i, X388:$i]:(((in @ X388 @ (setadjoin @ X386 @ X387))=>![X389:$o]:(((((X388)=(X386))=>(X389))=>(((in @ X388 @ X387)=>(X389))=>(X389))))))=>(![X390:$i, X391:$i, X392:$i]:(((in @ X392 @ (setadjoin @ X390 @ X391))=>(((X392)=(X390))|(in @ X392 @ X391))))=>(![X393:$i]:(((dsetconstr @ X393 @ (^[Z0:$i]:($true)))=(X393)))=>(![X394:$i, X395:$i]:((![X396:$i]:(((in @ X396 @ X395)=>(in @ X396 @ X394)))=>(in @ X395 @ (powerset @ X394))))=>(![X397:$i]:((in @ emptyset @ (powerset @ X397)))=>(![X398:$i]:((in @ emptyset @ (powerset @ X398)))=>(![X399:$i, X400:$i, X401:$i]:(((in @ X400 @ (powerset @ X399))=>((in @ X401 @ X400)=>(in @ X401 @ X399))))=>(![X402:$i, X403:$i, X404:$i]:(((in @ X403 @ X404)=>((in @ X404 @ X402)=>(in @ X403 @ (setunion @ X402)))))=>(![X405:$i, X406:$i]:(((in @ X406 @ (setunion @ X405))=>![X407:$o]:((![X408:$i]:(((in @ X406 @ X408)=>((in @ X408 @ X405)=>(X407))))=>(X407)))))=>(![X409:$i, X410:$i]:(((in @ X410 @ X409)=>(in @ X410 @ (powerset @ (setunion @ X409)))))=>(![X411:$i > $o]:((?[X412:$i]:(((X411 @ X412)&![X413:$i]:(((X411 @ X413)=>((X412)=(X413))))))=>?[X414:$i]:(![X415:$i]:(((X411 @ X415)<=>((X415)=(X414)))))))=>(![X416:$i]:((((X416)!=(emptyset))=>?[X417:$i]:(((in @ X417 @ X416)&$true))))=>(![X418:$i, X419:$i]:(((in @ X418 @ (setadjoin @ X419 @ emptyset))=>((X418)=(X419))))=>(![X420:$i, X421:$i]:((((X420)!=(X421))=>~(in @ X421 @ (setadjoin @ X420 @ emptyset))))=>(![X422:$i, X423:$i]:((((X422)=(X423))=>(in @ X422 @ (setadjoin @ X423 @ emptyset))))=>(![X424:$i, X425:$i]:(((in @ X424 @ (setadjoin @ X425 @ emptyset))=>(in @ X425 @ (setadjoin @ X424 @ emptyset))))=>(![X426:$i, X427:$i, X428:$i]:(((in @ X428 @ (setadjoin @ X426 @ (setadjoin @ X427 @ emptyset)))=>(((X428)=(X426))|((X428)=(X427)))))=>(![X429:$i, X430:$i]:((in @ X429 @ (setadjoin @ X429 @ (setadjoin @ X430 @ emptyset))))=>(![X431:$i, X432:$i]:((in @ X432 @ (setadjoin @ X431 @ (setadjoin @ X432 @ emptyset))))=>(![X433:$i, X434:$i > $o]:((?[X435:$i]:(((in @ X435 @ X433)&(X434 @ X435)))=>(((dsetconstr @ X433 @ X434)=(emptyset))=>~($true))))=>(![X436:$i > $o, X437:$i]:(((in @ X437 @ emptyset)=>(X436 @ X437)))=>(![X438:$i, X439:$i > $o]:((~(![X440:$i]:(((in @ X440 @ X438)=>(X439 @ X440))))=>?[X441:$i]:(((in @ X441 @ X438)&~((X439 @ X441))))))=>(![X442:$i, X443:$i > $o]:((![X444:$i]:(((in @ X444 @ X442)=>~((X443 @ X444))))=>~(?[X445:$i]:(((in @ X445 @ X442)&(X443 @ X445))))))=>(![X446:$i, X447:$i > $o]:((~(?[X448:$i]:(((in @ X448 @ X446)&(X447 @ X448))))=>![X449:$i]:(((in @ X449 @ X446)=>~((X447 @ X449))))))=>(![X450:$i, X451:$i > $o]:((?[X452:$i]:(((in @ X452 @ X450)&~((X451 @ X452))))=>~(![X453:$i]:(((in @ X453 @ X450)=>(X451 @ X453))))))=>(![X454:$o]:(((X454)=>(in @ emptyset @ (prop2set @ ((X454))))))=>(![X455:$o]:(((X455)=>(set2prop @ (prop2set @ ((X455))))))=>(![X456:$i, X457:$i > $o]:((~(?[X458:$i]:(((in @ X458 @ X456)&(X457 @ X458))))=>![X459:$i]:(((in @ X459 @ X456)=>~((X457 @ X459))))))=>(![X460:$i, X461:$i > $o]:((~(![X462:$i]:(((in @ X462 @ X460)=>(X461 @ X462))))=>?[X463:$i]:(((in @ X463 @ X460)&~((X461 @ X463))))))=>(![X464:$i > $o]:((?[X465:$i]:(((X464 @ X465)&![X466:$i]:(((X464 @ X466)=>((X465)=(X466))))))=>?[X467:$i]:(((X464 @ X467)&![X468:$i]:(((X464 @ X468)=>((X467)=(X468))))))))=>(![X469:$i > $o]:((?[X470:$i]:((X469 @ X470))=>(![X471:$i, X472:$i]:(((X469 @ X471)=>((X469 @ X472)=>((X471)=(X472)))))=>?[X473:$i]:(((X469 @ X473)&![X474:$i]:(((X469 @ X474)=>((X473)=(X474)))))))))=>(![X475:$i > $o]:((?[X476:$i]:(![X477:$i]:(((X475 @ X477)<=>((X477)=(X476)))))=>?[X478:$i]:(((X475 @ X478)&![X479:$i]:(((X475 @ X479)=>((X478)=(X479))))))))=>(![X480:$i, X481:$i]:((((X480)=(X481))=>![X482:$i, X483:$i]:((((X482)=(X483))=>((in @ X482 @ X480)=>(in @ X483 @ X481))))))=>(![X484:$i, X485:$i]:((((X484)=(X485))=>![X486:$i, X487:$i]:((((X486)=(X487))=>((in @ X486 @ X484)<=>(in @ X487 @ X485))))))=>(![X488:$i > $o]:((?[X489:$i]:(((X488 @ X489)&![X490:$i]:(((X488 @ X490)=>((X489)=(X490))))))=>![X491:$i, X492:$i]:(((X488 @ X491)=>((X488 @ X492)=>((X491)=(X492)))))))=>(![X493:$i > $o, X494:$i > $o]:((![X495:$i, X496:$i]:((((X495)=(X496))=>((X493 @ X495)<=>(X494 @ X496))))=>(?[X497:$i]:(((X493 @ X497)&![X498:$i]:(((X493 @ X498)=>((X497)=(X498))))))<=>?[X499:$i]:(((X494 @ X499)&![X500:$i]:(((X494 @ X500)=>((X499)=(X500)))))))))=>(((emptyset)=(emptyset))=>(![X501:$i, X502:$i]:((((X501)=(X502))=>![X503:$i, X504:$i]:((((X503)=(X504))=>((setadjoin @ X501 @ X503)=(setadjoin @ X502 @ X504))))))=>(![X505:$i, X506:$i]:((((X505)=(X506))=>((powerset @ X505)=(powerset @ X506))))=>(![X507:$i, X508:$i]:((((X507)=(X508))=>((setunion @ X507)=(setunion @ X508))))=>(((omega)=(omega))=>(![X509:$i > $o]:((?[X510:$i]:(((X509 @ X510)&![X511:$i]:(((X509 @ X511)=>((X510)=(X511))))))=>![X512:$i, X513:$i]:(((X509 @ X512)=>((X509 @ X513)=>((X512)=(X513)))))))=>(![X514:$i > $o, X515:$i > $o]:((![X516:$i, X517:$i]:((((X516)=(X517))=>((X514 @ X516)<=>(X515 @ X517))))=>(?[X518:$i]:(((X514 @ X518)&![X519:$i]:(((X514 @ X519)=>((X518)=(X519))))))=>(?[X520:$i]:(((X515 @ X520)&![X521:$i]:(((X515 @ X521)=>((X520)=(X521))))))=>((descr @ X514)=(descr @ X515))))))=>(![X522:$i, X523:$i]:((((X522)=(X523))=>![X524:$i > $o, X525:$i > $o]:((![X526:$i]:(((in @ X526 @ X522)=>![X527:$i]:(((in @ X527 @ X523)=>(((X526)=(X527))=>((X524 @ X526)<=>(X525 @ X527)))))))=>((dsetconstr @ X522 @ X524)=(dsetconstr @ X523 @ X525))))))=>(![X528:$i, X529:$i]:((![X530:$i]:(((in @ X530 @ X528)=>(in @ X530 @ X529)))=>(subset @ X528 @ X529)))=>(![X531:$i, X532:$i]:((((X531)=(X532))=>(subset @ X532 @ X531)))=>(![X533:$i, X534:$i]:((((X533)=(X534))=>(subset @ X533 @ X534)))=>(![X535:$i, X536:$i]:((![X537:$i]:(((in @ X537 @ X535)=>(in @ X537 @ X536)))=>(subset @ X535 @ X536)))=>(![X538:$i]:((subset @ emptyset @ X538))=>(![X539:$i, X540:$i, X541:$i]:(((subset @ X539 @ X540)=>((in @ X541 @ X539)=>(in @ X541 @ X540))))=>(![X542:$i, X543:$i, X544:$i]:(((subset @ X542 @ X543)=>(~(in @ X544 @ X543)=>~(in @ X544 @ X542))))=>(![X545:$i, X546:$i, X547:$i]:(((in @ X547 @ X545)=>(~(in @ X547 @ X546)=>~(subset @ X545 @ X546))))=>(![X548:$i, X549:$i]:((~(subset @ X548 @ X549)=>((X548)!=(X549))))=>(![X550:$i, X551:$i, X552:$i]:(((in @ X552 @ X550)=>(~(in @ X552 @ X551)=>((X550)!=(X551)))))=>(![X553:$i]:((subset @ X553 @ X553))=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_104, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_105]), foundationAx]), wellorderingAx]), c_0_106]), c_0_107]), c_0_108]), c_0_109]), c_0_110]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_111]), setext]), emptyI]), noeltsimpempty]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_116]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_117]), c_0_118]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_119]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_120]), c_0_121]), c_0_122]), inCongP]), in__Cong]), c_0_123]), c_0_124]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_125]), c_0_126]), c_0_127]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl])])]), c_0_128])).
% 0.36/0.27 thf(c_0_130, negated_conjecture, ![X554:$i, X555:$i, X557:$i, X558:$i, X559:$i, X560:$i, X561:$i, X562:$i, X563:$i, X564:$i, X565:$i, X567:$i, X568:$i, X570:$i, X571:$i, X572:$i, X573:$i, X574:$i, X576:$i, X577:$i > $i > $o, X578:$i, X580:$i, X583:$i, X585:$i, X586:$i, X587:$i, X588:$i, X590:$i, X591:$i > $o, X592:$i, X594:$i, X595:$i > $o, X596:$i, X597:$i, X598:$i > $o, X599:$i, X600:$i, X601:$i > $o, X602:$i, X603:$i > $o, X604:$i, X607:$i, X608:$o, X609:$i, X610:$i, X611:$o, X612:$i, X613:$i, X614:$i > $o, X615:$i, X618:$i, X619:$i, X622:$i, X624:$i, X626:$i, X627:$i > $o, X628:$i, X629:$i, X631:$i, X632:$i > $o, X633:$i, X634:$i, X635:$i, X636:$i, X637:$i, X638:$i, X639:$i, X640:$i, X641:$i, X642:$i, X643:$i, X644:$o, X645:$i, X646:$i, X647:$i, X648:$i, X649:$i, X650:$i, X652:$i, X653:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$o, X664:$i, X665:$i, X666:$i > $o, X667:$i, X670:$i, X671:$i, X672:$i, X674:$i, X675:$i, X676:$i, X677:$i, X678:$i, X679:$i, X680:$i, X681:$i, X682:$i, X683:$i, X684:$i, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i > $o, X691:$i, X692:$i > $o, X693:$i, X694:$i, X695:$i > $o, X696:$i, X698:$i, X699:$i > $o, X701:$i, X702:$i, X703:$i > $o, X705:$i, X706:$i, X707:$i > $o, X708:$i, X710:$o, X711:$o, X712:$i, X713:$i > $o, X715:$i, X716:$i, X717:$i > $o, X718:$i, X720:$i > $o, X721:$i, X724:$i, X725:$i > $o, X726:$i, X730:$i, X731:$i > $o, X732:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i, X742:$i, X743:$i, X744:$i > $o, X745:$i, X747:$i, X748:$i, X749:$i > $o, X750:$i > $o, X753:$i, X756:$i, X757:$i, X760:$i, X761:$i, X762:$i, X763:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X769:$i > $o, X770:$i, X772:$i, X773:$i, X774:$i > $o, X775:$i > $o, X778:$i, X780:$i, X782:$i, X783:$i, X784:$i > $o, X785:$i > $o, X788:$i, X789:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$i, X812:$i, X813:$i]:((((~(in @ (esk1_2 @ X554 @ X555) @ X554)|~(in @ (esk1_2 @ X554 @ X555) @ X555)|((X554)=(X555)))&((in @ (esk1_2 @ X554 @ X555) @ X554)|(in @ (esk1_2 @ X554 @ X555) @ X555)|((X554)=(X555))))&(~(in @ X557 @ emptyset)&(((~(in @ X560 @ (setadjoin @ X558 @ X559))|(((X560)=(X558))|(in @ X560 @ X559)))&((((X560)!=(X558))|(in @ X560 @ (setadjoin @ X558 @ X559)))&(~(in @ X560 @ X559)|(in @ X560 @ (setadjoin @ X558 @ X559)))))&(((~(in @ X562 @ (powerset @ X561))|(~(in @ X563 @ X562)|(in @ X563 @ X561)))&(((in @ (esk2_2 @ X564 @ X565) @ X565)|(in @ X565 @ (powerset @ X564)))&(~(in @ (esk2_2 @ X564 @ X565) @ X564)|(in @ X565 @ (powerset @ X564)))))&(((((in @ X568 @ (esk3_2 @ X567 @ X568))|~(in @ X568 @ (setunion @ X567)))&((in @ (esk3_2 @ X567 @ X568) @ X567)|~(in @ X568 @ (setunion @ X567))))&(~(in @ X571 @ X572)|~(in @ X572 @ X570)|(in @ X571 @ (setunion @ X570))))&((in @ emptyset @ omega)&((~(in @ X573 @ omega)|(in @ (setadjoin @ X573 @ X573) @ omega))&(((((in @ (esk4_1 @ X574) @ omega)|~(in @ emptyset @ X574)|(~(in @ X576 @ omega)|(in @ X576 @ X574)))&((in @ (esk4_1 @ X574) @ X574)|~(in @ emptyset @ X574)|(~(in @ X576 @ omega)|(in @ X576 @ X574))))&(~(in @ (setadjoin @ (esk4_1 @ X574) @ (esk4_1 @ X574)) @ X574)|~(in @ emptyset @ X574)|(~(in @ X576 @ omega)|(in @ X576 @ X574))))&((((((in @ (esk8_3 @ X577 @ X578 @ X583) @ X578)|~(in @ X583 @ (esk7_2 @ X577 @ X578))|(in @ (esk5_2 @ X577 @ X578) @ X578))&((X577 @ (esk8_3 @ X577 @ X578 @ X583) @ X583)|~(in @ X583 @ (esk7_2 @ X577 @ X578))|(in @ (esk5_2 @ X577 @ X578) @ X578)))&(~(in @ X586 @ X578)|~(X577 @ X586 @ X585)|(in @ X585 @ (esk7_2 @ X577 @ X578))|(in @ (esk5_2 @ X577 @ X578) @ X578)))&(((((in @ (esk8_3 @ X577 @ X578 @ X583) @ X578)|~(in @ X583 @ (esk7_2 @ X577 @ X578))|((X577 @ (esk5_2 @ X577 @ X578) @ (esk6_3 @ X577 @ X578 @ X580))|~(X577 @ (esk5_2 @ X577 @ X578) @ X580)))&((X577 @ (esk8_3 @ X577 @ X578 @ X583) @ X583)|~(in @ X583 @ (esk7_2 @ X577 @ X578))|((X577 @ (esk5_2 @ X577 @ X578) @ (esk6_3 @ X577 @ X578 @ X580))|~(X577 @ (esk5_2 @ X577 @ X578) @ X580))))&(~(in @ X586 @ X578)|~(X577 @ X586 @ X585)|(in @ X585 @ (esk7_2 @ X577 @ X578))|((X577 @ (esk5_2 @ X577 @ X578) @ (esk6_3 @ X577 @ X578 @ X580))|~(X577 @ (esk5_2 @ X577 @ X578) @ X580))))&((((in @ (esk8_3 @ X577 @ X578 @ X583) @ X578)|~(in @ X583 @ (esk7_2 @ X577 @ X578))|(((X580)!=(esk6_3 @ X577 @ X578 @ X580))|~(X577 @ (esk5_2 @ X577 @ X578) @ X580)))&((X577 @ (esk8_3 @ X577 @ X578 @ X583) @ X583)|~(in @ X583 @ (esk7_2 @ X577 @ X578))|(((X580)!=(esk6_3 @ X577 @ X578 @ X580))|~(X577 @ (esk5_2 @ X577 @ X578) @ X580))))&(~(in @ X586 @ X578)|~(X577 @ X586 @ X585)|(in @ X585 @ (esk7_2 @ X577 @ X578))|(((X580)!=(esk6_3 @ X577 @ X578 @ X580))|~(X577 @ (esk5_2 @ X577 @ X578) @ X580))))))&((((in @ (esk9_1 @ X587) @ X587)|~(in @ X588 @ X587))&(~(in @ X590 @ (esk9_1 @ X587))|~(in @ X590 @ X587)|~(in @ X588 @ X587)))&((epred1_0)&((((X591 @ (esk10_2 @ X591 @ X592))|~(X591 @ X592)|(X591 @ (descr @ X591)))&(((X592)!=(esk10_2 @ X591 @ X592))|~(X591 @ X592)|(X591 @ (descr @ X591))))&((~(in @ X596 @ X594)|(~(X595 @ X596)|(in @ X596 @ (dsetconstr @ X594 @ X595))))&((~(in @ X599 @ (dsetconstr @ X597 @ X598))|(in @ X599 @ X597))&((~(in @ X602 @ (dsetconstr @ X600 @ X601))|(X601 @ X602))&(((((X603 @ (esk12_1 @ X603))|((X603 @ (esk11_2 @ X603 @ X604))|~(X603 @ X604)))&(~(X603 @ X607)|((esk12_1 @ X603)=(X607))|((X603 @ (esk11_2 @ X603 @ X604))|~(X603 @ X604))))&(((X603 @ (esk12_1 @ X603))|(((X604)!=(esk11_2 @ X603 @ X604))|~(X603 @ X604)))&(~(X603 @ X607)|((esk12_1 @ X603)=(X607))|(((X604)!=(esk11_2 @ X603 @ X604))|~(X603 @ X604)))))&((~(in @ X609 @ (prop2set @ ((X608))))|(X608))&((~(in @ X610 @ emptyset)|(X611))&((~(in @ X612 @ emptyset)|~($true))&(~(in @ X613 @ emptyset)&((((X614 @ (esk13_2 @ X614 @ X615))|~(X614 @ X615)|(X614 @ (esk14_1 @ X614)))&(((X615)!=(esk13_2 @ X614 @ X615))|~(X614 @ X615)|(X614 @ (esk14_1 @ X614))))&(((((in @ (esk16_2 @ X618 @ X619) @ X619)|((X618)=(X619))|(in @ (esk15_2 @ X618 @ X619) @ X618))&(~(in @ (esk16_2 @ X618 @ X619) @ X618)|((X618)=(X619))|(in @ (esk15_2 @ X618 @ X619) @ X618)))&(((in @ (esk16_2 @ X618 @ X619) @ X619)|((X618)=(X619))|~(in @ (esk15_2 @ X618 @ X619) @ X619))&(~(in @ (esk16_2 @ X618 @ X619) @ X618)|((X618)=(X619))|~(in @ (esk15_2 @ X618 @ X619) @ X619))))&(((in @ (esk17_1 @ X622) @ X622)|((X622)=(emptyset)))&(((in @ (esk18_1 @ X624) @ X624)|((X624)=(emptyset)))&(((~(in @ X628 @ (dsetconstr @ X626 @ X627))|(X627 @ X628)|~(in @ X628 @ X626))&(~(X627 @ X628)|(in @ X628 @ (dsetconstr @ X626 @ X627))|~(in @ X628 @ X626)))&((((X629)=(emptyset))|(in @ (esk19_1 @ X629) @ X629))&((~(in @ X633 @ X631)|(~(X632 @ X633)|((dsetconstr @ X631 @ X632)!=(emptyset))))&((~(in @ X635 @ X634)|((X634)!=(emptyset)))&((in @ X636 @ (setadjoin @ X636 @ X637))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X640 @ X639)|(in @ X640 @ (setadjoin @ X638 @ X639)))&(((((in @ X643 @ X642)|(X644)|((X643)=(X641))|~(in @ X643 @ (setadjoin @ X641 @ X642)))&(~(X644)|(X644)|((X643)=(X641))|~(in @ X643 @ (setadjoin @ X641 @ X642))))&(((in @ X643 @ X642)|(X644)|~(X644)|~(in @ X643 @ (setadjoin @ X641 @ X642)))&(~(X644)|(X644)|~(X644)|~(in @ X643 @ (setadjoin @ X641 @ X642)))))&((~(in @ X647 @ (setadjoin @ X645 @ X646))|(((X647)=(X645))|(in @ X647 @ X646)))&(((dsetconstr @ X648 @ (^[Z0:$i]:($true)))=(X648))&((((in @ (esk20_2 @ X649 @ X650) @ X650)|(in @ X650 @ (powerset @ X649)))&(~(in @ (esk20_2 @ X649 @ X650) @ X649)|(in @ X650 @ (powerset @ X649))))&((in @ emptyset @ (powerset @ X652))&((in @ emptyset @ (powerset @ X653))&((~(in @ X655 @ (powerset @ X654))|(~(in @ X656 @ X655)|(in @ X656 @ X654)))&((~(in @ X658 @ X659)|(~(in @ X659 @ X657)|(in @ X658 @ (setunion @ X657))))&((((in @ X661 @ (esk21_3 @ X660 @ X661 @ X662))|(X662)|~(in @ X661 @ (setunion @ X660)))&(((in @ (esk21_3 @ X660 @ X661 @ X662) @ X660)|(X662)|~(in @ X661 @ (setunion @ X660)))&(~(X662)|(X662)|~(in @ X661 @ (setunion @ X660)))))&((~(in @ X665 @ X664)|(in @ X665 @ (powerset @ (setunion @ X664))))&((((~(X666 @ X670)|((X670)=(esk23_1 @ X666))|((X666 @ (esk22_2 @ X666 @ X667))|~(X666 @ X667)))&(((X671)!=(esk23_1 @ X666))|(X666 @ X671)|((X666 @ (esk22_2 @ X666 @ X667))|~(X666 @ X667))))&((~(X666 @ X670)|((X670)=(esk23_1 @ X666))|(((X667)!=(esk22_2 @ X666 @ X667))|~(X666 @ X667)))&(((X671)!=(esk23_1 @ X666))|(X666 @ X671)|(((X667)!=(esk22_2 @ X666 @ X667))|~(X666 @ X667)))))&((((in @ (esk24_1 @ X672) @ X672)|((X672)=(emptyset)))&(($true)|((X672)=(emptyset))))&((~(in @ X674 @ (setadjoin @ X675 @ emptyset))|((X674)=(X675)))&((((X676)=(X677))|~(in @ X677 @ (setadjoin @ X676 @ emptyset)))&((((X678)!=(X679))|(in @ X678 @ (setadjoin @ X679 @ emptyset)))&((~(in @ X680 @ (setadjoin @ X681 @ emptyset))|(in @ X681 @ (setadjoin @ X680 @ emptyset)))&((~(in @ X684 @ (setadjoin @ X682 @ (setadjoin @ X683 @ emptyset)))|(((X684)=(X682))|((X684)=(X683))))&((in @ X685 @ (setadjoin @ X685 @ (setadjoin @ X686 @ emptyset)))&((in @ X688 @ (setadjoin @ X687 @ (setadjoin @ X688 @ emptyset)))&((~(in @ X691 @ X689)|~(X690 @ X691)|(((dsetconstr @ X689 @ X690)!=(emptyset))|~($true)))&((~(in @ X693 @ emptyset)|(X692 @ X693))&((((in @ (esk25_2 @ X694 @ X695) @ X694)|(~(in @ X696 @ X694)|(X695 @ X696)))&(~(X695 @ (esk25_2 @ X694 @ X695))|(~(in @ X696 @ X694)|(X695 @ X696))))&((((in @ (esk26_2 @ X698 @ X699) @ X698)|(~(in @ X701 @ X698)|~(X699 @ X701)))&((X699 @ (esk26_2 @ X698 @ X699))|(~(in @ X701 @ X698)|~(X699 @ X701))))&((((in @ (esk27_2 @ X702 @ X703) @ X702)|(~(in @ X705 @ X702)|~(X703 @ X705)))&((X703 @ (esk27_2 @ X702 @ X703))|(~(in @ X705 @ X702)|~(X703 @ X705))))&((((in @ (esk28_2 @ X706 @ X707) @ X706)|(~(in @ X708 @ X706)|(X707 @ X708)))&(~(X707 @ (esk28_2 @ X706 @ X707))|(~(in @ X708 @ X706)|(X707 @ X708))))&((~(X710)|(in @ emptyset @ (prop2set @ ((X710)))))&((~(X711)|(set2prop @ (prop2set @ ((X711)))))&((((in @ (esk29_2 @ X712 @ X713) @ X712)|(~(in @ X715 @ X712)|~(X713 @ X715)))&((X713 @ (esk29_2 @ X712 @ X713))|(~(in @ X715 @ X712)|~(X713 @ X715))))&((((in @ (esk30_2 @ X716 @ X717) @ X716)|(~(in @ X718 @ X716)|(X717 @ X718)))&(~(X717 @ (esk30_2 @ X716 @ X717))|(~(in @ X718 @ X716)|(X717 @ X718))))&(((((X720 @ (esk32_1 @ X720))|((X720 @ (esk31_2 @ X720 @ X721))|~(X720 @ X721)))&(~(X720 @ X724)|((esk32_1 @ X720)=(X724))|((X720 @ (esk31_2 @ X720 @ X721))|~(X720 @ X721))))&(((X720 @ (esk32_1 @ X720))|(((X721)!=(esk31_2 @ X720 @ X721))|~(X720 @ X721)))&(~(X720 @ X724)|((esk32_1 @ X720)=(X724))|(((X721)!=(esk31_2 @ X720 @ X721))|~(X720 @ X721)))))&(((((X725 @ (esk35_1 @ X725))|(X725 @ (esk33_1 @ X725))|~(X725 @ X726))&(~(X725 @ X730)|((esk35_1 @ X725)=(X730))|(X725 @ (esk33_1 @ X725))|~(X725 @ X726)))&((((X725 @ (esk35_1 @ X725))|(X725 @ (esk34_1 @ X725))|~(X725 @ X726))&(~(X725 @ X730)|((esk35_1 @ X725)=(X730))|(X725 @ (esk34_1 @ X725))|~(X725 @ X726)))&(((X725 @ (esk35_1 @ X725))|((esk33_1 @ X725)!=(esk34_1 @ X725))|~(X725 @ X726))&(~(X725 @ X730)|((esk35_1 @ X725)=(X730))|((esk33_1 @ X725)!=(esk34_1 @ X725))|~(X725 @ X726)))))&(((((X731 @ (esk37_1 @ X731))|(~(X731 @ (esk36_2 @ X731 @ X732))|((esk36_2 @ X731 @ X732)!=(X732))))&(~(X731 @ X735)|((esk37_1 @ X731)=(X735))|(~(X731 @ (esk36_2 @ X731 @ X732))|((esk36_2 @ X731 @ X732)!=(X732)))))&(((X731 @ (esk37_1 @ X731))|((X731 @ (esk36_2 @ X731 @ X732))|((esk36_2 @ X731 @ X732)=(X732))))&(~(X731 @ X735)|((esk37_1 @ X731)=(X735))|((X731 @ (esk36_2 @ X731 @ X732))|((esk36_2 @ X731 @ X732)=(X732))))))&((((X736)!=(X737))|(((X738)!=(X739))|(~(in @ X738 @ X736)|(in @ X739 @ X737))))&(((~(in @ X742 @ X740)|(in @ X743 @ X741)|((X742)!=(X743))|((X740)!=(X741)))&(~(in @ X743 @ X741)|(in @ X742 @ X740)|((X742)!=(X743))|((X740)!=(X741))))&((((X744 @ (esk38_2 @ X744 @ X745))|~(X744 @ X745)|(~(X744 @ X747)|(~(X744 @ X748)|((X747)=(X748)))))&(((X745)!=(esk38_2 @ X744 @ X745))|~(X744 @ X745)|(~(X744 @ X747)|(~(X744 @ X748)|((X747)=(X748))))))&(((((((X750 @ (esk42_2 @ X749 @ X750))|((X749 @ 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X750)))&(~(X749 @ X760)|((esk44_2 @ X749 @ X750)=(X760))|(((X757)!=(esk43_3 @ X749 @ X750 @ X757))|~(X750 @ X757))|((esk39_2 @ X749 @ X750)=(esk40_2 @ X749 @ X750))))))&((((((X750 @ (esk42_2 @ X749 @ X750))|((X749 @ (esk41_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|(~(X749 @ (esk39_2 @ X749 @ X750))|~(X750 @ (esk40_2 @ X749 @ X750))))&(~(X750 @ X756)|((esk42_2 @ X749 @ X750)=(X756))|((X749 @ (esk41_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|(~(X749 @ (esk39_2 @ X749 @ X750))|~(X750 @ (esk40_2 @ X749 @ X750)))))&(((X750 @ (esk42_2 @ X749 @ X750))|(((X753)!=(esk41_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|(~(X749 @ (esk39_2 @ X749 @ X750))|~(X750 @ (esk40_2 @ X749 @ X750))))&(~(X750 @ X756)|((esk42_2 @ X749 @ X750)=(X756))|(((X753)!=(esk41_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|(~(X749 @ (esk39_2 @ X749 @ X750))|~(X750 @ (esk40_2 @ X749 @ X750))))))&((((X749 @ (esk44_2 @ X749 @ X750))|((X750 @ (esk43_3 @ X749 @ X750 @ X757))|~(X750 @ X757))|(~(X749 @ (esk39_2 @ X749 @ X750))|~(X750 @ (esk40_2 @ X749 @ X750))))&(~(X749 @ X760)|((esk44_2 @ X749 @ X750)=(X760))|((X750 @ (esk43_3 @ X749 @ X750 @ X757))|~(X750 @ X757))|(~(X749 @ (esk39_2 @ X749 @ X750))|~(X750 @ (esk40_2 @ X749 @ X750)))))&(((X749 @ (esk44_2 @ X749 @ X750))|(((X757)!=(esk43_3 @ X749 @ X750 @ X757))|~(X750 @ X757))|(~(X749 @ (esk39_2 @ X749 @ X750))|~(X750 @ (esk40_2 @ X749 @ X750))))&(~(X749 @ X760)|((esk44_2 @ X749 @ X750)=(X760))|(((X757)!=(esk43_3 @ X749 @ X750 @ X757))|~(X750 @ X757))|(~(X749 @ (esk39_2 @ X749 @ X750))|~(X750 @ (esk40_2 @ X749 @ X750)))))))&(((((X750 @ (esk42_2 @ X749 @ X750))|((X749 @ (esk41_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|((X749 @ (esk39_2 @ X749 @ X750))|(X750 @ (esk40_2 @ X749 @ X750))))&(~(X750 @ X756)|((esk42_2 @ X749 @ X750)=(X756))|((X749 @ (esk41_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|((X749 @ (esk39_2 @ X749 @ X750))|(X750 @ (esk40_2 @ X749 @ X750)))))&(((X750 @ (esk42_2 @ X749 @ X750))|(((X753)!=(esk41_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|((X749 @ (esk39_2 @ X749 @ X750))|(X750 @ (esk40_2 @ X749 @ X750))))&(~(X750 @ X756)|((esk42_2 @ X749 @ X750)=(X756))|(((X753)!=(esk41_3 @ X749 @ X750 @ X753))|~(X749 @ X753))|((X749 @ (esk39_2 @ X749 @ X750))|(X750 @ (esk40_2 @ X749 @ X750))))))&((((X749 @ (esk44_2 @ X749 @ X750))|((X750 @ (esk43_3 @ X749 @ X750 @ X757))|~(X750 @ X757))|((X749 @ (esk39_2 @ X749 @ X750))|(X750 @ (esk40_2 @ X749 @ X750))))&(~(X749 @ X760)|((esk44_2 @ X749 @ X750)=(X760))|((X750 @ (esk43_3 @ X749 @ X750 @ X757))|~(X750 @ X757))|((X749 @ (esk39_2 @ X749 @ X750))|(X750 @ (esk40_2 @ X749 @ X750)))))&(((X749 @ (esk44_2 @ X749 @ X750))|(((X757)!=(esk43_3 @ X749 @ X750 @ X757))|~(X750 @ X757))|((X749 @ (esk39_2 @ X749 @ X750))|(X750 @ (esk40_2 @ X749 @ X750))))&(~(X749 @ X760)|((esk44_2 @ X749 @ X750)=(X760))|(((X757)!=(esk43_3 @ X749 @ X750 @ X757))|~(X750 @ X757))|((X749 @ (esk39_2 @ X749 @ X750))|(X750 @ (esk40_2 @ X749 @ X750)))))))))&(((emptyset)=(emptyset))&((((X761)!=(X762))|(((X763)!=(X764))|((setadjoin @ X761 @ X763)=(setadjoin @ X762 @ X764))))&((((X765)!=(X766))|((powerset @ X765)=(powerset @ X766)))&((((X767)!=(X768))|((setunion @ X767)=(setunion @ X768)))&(((omega)=(omega))&((((X769 @ (esk45_2 @ X769 @ X770))|~(X769 @ X770)|(~(X769 @ X772)|(~(X769 @ X773)|((X772)=(X773)))))&(((X770)!=(esk45_2 @ X769 @ X770))|~(X769 @ X770)|(~(X769 @ X772)|(~(X769 @ X773)|((X772)=(X773))))))&((((((X775 @ (esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|((X774 @ (esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|((esk46_2 @ X774 @ X775)=(esk47_2 @ X774 @ X775)))&(((X780)!=(esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|((X774 @ (esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|((esk46_2 @ X774 @ X775)=(esk47_2 @ X774 @ X775))))&(((X775 @ (esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|(((X778)!=(esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|((esk46_2 @ X774 @ X775)=(esk47_2 @ X774 @ X775)))&(((X780)!=(esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|(((X778)!=(esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|((esk46_2 @ X774 @ X775)=(esk47_2 @ X774 @ X775)))))&(((((X775 @ (esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|((X774 @ (esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|(~(X774 @ (esk46_2 @ X774 @ X775))|~(X775 @ (esk47_2 @ X774 @ X775))))&(((X780)!=(esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|((X774 @ (esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|(~(X774 @ (esk46_2 @ X774 @ X775))|~(X775 @ (esk47_2 @ X774 @ X775)))))&(((X775 @ (esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|(((X778)!=(esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|(~(X774 @ (esk46_2 @ X774 @ X775))|~(X775 @ (esk47_2 @ X774 @ X775))))&(((X780)!=(esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|(((X778)!=(esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|(~(X774 @ (esk46_2 @ X774 @ X775))|~(X775 @ (esk47_2 @ X774 @ X775))))))&((((X775 @ (esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|((X774 @ (esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|((X774 @ (esk46_2 @ X774 @ X775))|(X775 @ (esk47_2 @ X774 @ X775))))&(((X780)!=(esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|((X774 @ (esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|((X774 @ (esk46_2 @ X774 @ X775))|(X775 @ (esk47_2 @ X774 @ X775)))))&(((X775 @ (esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|(((X778)!=(esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|((X774 @ (esk46_2 @ X774 @ X775))|(X775 @ (esk47_2 @ X774 @ X775))))&(((X780)!=(esk49_3 @ X774 @ X775 @ X780))|~(X775 @ X780)|((descr @ X774)=(descr @ X775))|(((X778)!=(esk48_3 @ X774 @ X775 @ X778))|~(X774 @ X778))|((X774 @ (esk46_2 @ X774 @ X775))|(X775 @ (esk47_2 @ X774 @ X775))))))))&((((in @ (esk50_4 @ X782 @ X783 @ X784 @ X785) @ X782)|((dsetconstr @ X782 @ X784)=(dsetconstr @ X783 @ X785))|((X782)!=(X783)))&(((in @ (esk51_4 @ X782 @ X783 @ X784 @ X785) @ X783)|((dsetconstr @ X782 @ X784)=(dsetconstr @ X783 @ X785))|((X782)!=(X783)))&((((esk50_4 @ X782 @ X783 @ X784 @ X785)=(esk51_4 @ X782 @ X783 @ X784 @ X785))|((dsetconstr @ X782 @ X784)=(dsetconstr @ X783 @ X785))|((X782)!=(X783)))&((~(X784 @ (esk50_4 @ X782 @ X783 @ X784 @ X785))|~(X785 @ (esk51_4 @ X782 @ X783 @ X784 @ X785))|((dsetconstr @ X782 @ X784)=(dsetconstr @ X783 @ X785))|((X782)!=(X783)))&((X784 @ (esk50_4 @ X782 @ X783 @ X784 @ X785))|(X785 @ (esk51_4 @ X782 @ X783 @ X784 @ X785))|((dsetconstr @ X782 @ X784)=(dsetconstr @ X783 @ X785))|((X782)!=(X783)))))))&((((in @ (esk52_2 @ X788 @ X789) @ X788)|(subset @ X788 @ X789))&(~(in @ (esk52_2 @ X788 @ X789) @ X789)|(subset @ X788 @ X789)))&((((X791)!=(X792))|(subset @ X792 @ X791))&((((X793)!=(X794))|(subset @ X793 @ X794))&((((in @ (esk53_2 @ X795 @ X796) @ X795)|(subset @ X795 @ X796))&(~(in @ (esk53_2 @ X795 @ X796) @ X796)|(subset @ X795 @ X796)))&((subset @ emptyset @ X798)&((~(subset @ X799 @ X800)|(~(in @ X801 @ X799)|(in @ X801 @ X800)))&((~(subset @ X802 @ X803)|((in @ X804 @ X803)|~(in @ X804 @ X802)))&((~(in @ X807 @ X805)|((in @ X807 @ X806)|~(subset @ X805 @ X806)))&(((subset @ X808 @ X809)|((X808)!=(X809)))&((~(in @ X812 @ X810)|((in @ X812 @ X811)|((X810)!=(X811))))&((subset @ X813 @ X813)&((subset @ esk54_0 @ esk55_0)&((subset @ esk55_0 @ esk56_0)&~(subset @ esk54_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_129])])])])])])])).
% 0.36/0.27 thf(c_0_131, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_130])).
% 0.36/0.27 thf(c_0_132, negated_conjecture, (subset @ esk55_0 @ esk56_0), inference(split_conjunct,[status(thm)],[c_0_130])).
% 0.36/0.27 thf(c_0_133, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk52_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_130])).
% 0.36/0.27 thf(c_0_134, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk56_0)|~((in @ X2 @ esk55_0)))), inference(spm,[status(thm)],[c_0_131, c_0_132])).
% 0.36/0.27 thf(c_0_135, negated_conjecture, (subset @ esk54_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_130])).
% 0.36/0.27 thf(c_0_136, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk56_0)|~((in @ (esk52_2 @ X2 @ esk56_0) @ esk55_0)))), inference(spm,[status(thm)],[c_0_133, c_0_134])).
% 0.36/0.27 thf(c_0_137, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk55_0)|~((in @ X2 @ esk54_0)))), inference(spm,[status(thm)],[c_0_131, c_0_135])).
% 0.36/0.27 thf(c_0_138, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk56_0)|~((in @ (esk52_2 @ X2 @ esk56_0) @ esk54_0)))), inference(spm,[status(thm)],[c_0_136, c_0_137])).
% 0.36/0.27 thf(c_0_139, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk52_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_130])).
% 0.36/0.27 thf(c_0_140, negated_conjecture, ~((subset @ esk54_0 @ esk56_0)), inference(split_conjunct,[status(thm)],[c_0_130])).
% 0.36/0.27 thf(c_0_141, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_139]), c_0_140]), ['proof']).
% 0.36/0.27 % SZS output end CNFRefutation
% 0.36/0.27 % Parsed axioms : 190
% 0.36/0.27 % Removed by relevancy pruning/SinE : 0
% 0.36/0.27 % Initial clauses : 300
% 0.36/0.27 % Removed in clause preprocessing : 115
% 0.36/0.27 % Initial clauses in saturation : 185
% 0.36/0.27 % Processed clauses : 138
% 0.36/0.27 % ...of these trivial : 2
% 0.36/0.27 % ...subsumed : 61
% 0.36/0.27 % ...remaining for further processing : 75
% 0.36/0.27 % Other redundant clauses eliminated : 6
% 0.36/0.27 % Clauses deleted for lack of memory : 0
% 0.36/0.27 % Backward-subsumed : 0
% 0.36/0.27 % Backward-rewritten : 2
% 0.36/0.27 % Generated clauses : 289
% 0.36/0.27 % ...of the previous two non-redundant : 253
% 0.36/0.27 % ...aggressively subsumed : 0
% 0.36/0.27 % Contextual simplify-reflections : 0
% 0.36/0.27 % Paramodulations : 283
% 0.36/0.27 % Factorizations : 0
% 0.36/0.27 % NegExts : 0
% 0.36/0.27 % Equation resolutions : 6
% 0.36/0.27 % Disequality decompositions : 0
% 0.36/0.27 % Total rewrite steps : 40
% 0.36/0.27 % ...of those cached : 21
% 0.36/0.27 % Propositional unsat checks : 0
% 0.36/0.27 % Propositional check models : 0
% 0.36/0.27 % Propositional check unsatisfiable : 0
% 0.36/0.27 % Propositional clauses : 0
% 0.36/0.27 % Propositional clauses after purity: 0
% 0.36/0.27 % Propositional unsat core size : 0
% 0.36/0.27 % Propositional preprocessing time : 0.000
% 0.36/0.27 % Propositional encoding time : 0.000
% 0.36/0.27 % Propositional solver time : 0.000
% 0.36/0.27 % Success case prop preproc time : 0.000
% 0.36/0.27 % Success case prop encoding time : 0.000
% 0.36/0.27 % Success case prop solver time : 0.000
% 0.36/0.27 % Current number of processed clauses : 67
% 0.36/0.27 % Positive orientable unit clauses : 18
% 0.36/0.27 % Positive unorientable unit clauses: 0
% 0.36/0.27 % Negative unit clauses : 2
% 0.36/0.27 % Non-unit-clauses : 47
% 0.36/0.27 % Current number of unprocessed clauses: 300
% 0.36/0.27 % ...number of literals in the above : 980
% 0.36/0.27 % Current number of archived formulas : 0
% 0.36/0.27 % Current number of archived clauses : 2
% 0.36/0.27 % Clause-clause subsumption calls (NU) : 404
% 0.36/0.27 % Rec. Clause-clause subsumption calls : 397
% 0.36/0.27 % Non-unit clause-clause subsumptions : 52
% 0.36/0.27 % Unit Clause-clause subsumption calls : 7
% 0.36/0.27 % Rewrite failures with RHS unbound : 0
% 0.36/0.27 % BW rewrite match attempts : 5
% 0.36/0.27 % BW rewrite match successes : 2
% 0.36/0.27 % Condensation attempts : 0
% 0.36/0.27 % Condensation successes : 0
% 0.36/0.27 % Termbank termtop insertions : 29071
% 0.36/0.27 % Search garbage collected termcells : 9903
% 0.36/0.27
% 0.36/0.27 % -------------------------------------------------
% 0.36/0.27 % User time : 0.025 s
% 0.36/0.27 % System time : 0.009 s
% 0.36/0.27 % Total time : 0.034 s
% 0.36/0.27 % Maximum resident set size: 6124 pages
% 0.36/0.27
% 0.36/0.27 % -------------------------------------------------
% 0.36/0.27 % User time : 0.081 s
% 0.36/0.27 % System time : 0.027 s
% 0.36/0.27 % Total time : 0.108 s
% 0.36/0.27 % Maximum resident set size: 4864 pages
% 0.36/0.27 % E exiting
%------------------------------------------------------------------------------