%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU562^1 : 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 : n006.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 08:24:31 AM UTC 2026
% Result : Theorem 0.23s 0.30s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU562^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:50:09 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.26 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.gLyMblKc5H/E---3.1_751455.p
% 0.23/0.30 % Version: 3.5.1-ho
% 0.23/0.30 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.30 % Starting sh5l with 300s (1) cores
% 0.23/0.30 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.30 % Starting new_bool_2 with 300s (1) cores
% 0.23/0.30 % new_ho_10 with pid 751487 completed with status 0
% 0.23/0.30 % Result found by new_ho_10
% 0.23/0.30 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.30 % No SInE strategy applied
% 0.23/0.30 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.23/0.30 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.30 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.30 % Starting new_ho_10 with 151s (1) cores
% 0.23/0.30 % Starting sh5l with 136s (1) cores
% 0.23/0.30 % Starting lpo1_def_fix with 136s (1) cores
% 0.23/0.30 % Starting full_lambda_2 with 136s (1) cores
% 0.23/0.30 % SubtermCWHack with pid 751495 completed with status 0
% 0.23/0.30 % Result found by SubtermCWHack
% 0.23/0.30 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.30 % No SInE strategy applied
% 0.23/0.30 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.23/0.30 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.30 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.30 % Preprocessing time : 0.004 s
% 0.23/0.30
% 0.23/0.30 % Proof found!
% 0.23/0.30 % SZS status Theorem
% 0.23/0.30 % SZS output start CNFRefutation
% 0.23/0.30 thf(decl_23, type, in: $i > $i > $o).
% 0.23/0.30 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.23/0.30 thf(decl_25, type, setextAx: $o).
% 0.23/0.30 thf(decl_26, type, emptyset: $i).
% 0.23/0.30 thf(decl_27, type, emptysetAx: $o).
% 0.23/0.30 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.23/0.30 thf(decl_29, type, setadjoinAx: $o).
% 0.23/0.30 thf(decl_30, type, powerset: $i > $i).
% 0.23/0.30 thf(decl_31, type, powersetAx: $o).
% 0.23/0.30 thf(decl_32, type, setunion: $i > $i).
% 0.23/0.30 thf(decl_33, type, setunionAx: $o).
% 0.23/0.30 thf(decl_34, type, omega: $i).
% 0.23/0.30 thf(decl_35, type, omega0Ax: $o).
% 0.23/0.30 thf(decl_36, type, omegaSAx: $o).
% 0.23/0.30 thf(decl_37, type, omegaIndAx: $o).
% 0.23/0.30 thf(decl_38, type, replAx: $o).
% 0.23/0.30 thf(decl_39, type, foundationAx: $o).
% 0.23/0.30 thf(decl_40, type, wellorderingAx: $o).
% 0.23/0.30 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.23/0.30 thf(decl_42, type, descrp: $o).
% 0.23/0.30 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_44, type, dsetconstrI: $o).
% 0.23/0.30 thf(decl_45, type, dsetconstrEL: $o).
% 0.23/0.30 thf(decl_46, type, dsetconstrER: $o).
% 0.23/0.30 thf(decl_47, type, exuE1: $o).
% 0.23/0.30 thf(decl_48, type, prop2set: $o > $i).
% 0.23/0.30 thf(decl_49, type, prop2setE: $o).
% 0.23/0.30 thf(decl_50, type, emptysetE: $o).
% 0.23/0.30 thf(decl_51, type, emptysetimpfalse: $o).
% 0.23/0.30 thf(decl_52, type, notinemptyset: $o).
% 0.23/0.30 thf(decl_53, type, exuE3e: $o).
% 0.23/0.30 thf(decl_54, type, setext: $o).
% 0.23/0.30 thf(decl_55, type, emptyI: $o).
% 0.23/0.30 thf(decl_56, type, noeltsimpempty: $o).
% 0.23/0.30 thf(decl_57, type, setbeta: $o).
% 0.23/0.30 thf(decl_58, type, nonempty: $i > $o).
% 0.23/0.30 thf(decl_59, type, nonemptyE1: $o).
% 0.23/0.30 thf(decl_60, type, nonemptyI: $o).
% 0.23/0.30 thf(decl_61, type, nonemptyI1: $o).
% 0.23/0.30 thf(decl_62, type, setadjoinIL: $o).
% 0.23/0.30 thf(decl_63, type, emptyinunitempty: $o).
% 0.23/0.30 thf(decl_64, type, setadjoinIR: $o).
% 0.23/0.30 thf(decl_65, type, setadjoinE: $o).
% 0.23/0.30 thf(decl_66, type, setadjoinOr: $o).
% 0.23/0.30 thf(decl_67, type, setoftrueEq: $o).
% 0.23/0.30 thf(decl_68, type, powersetI: $o).
% 0.23/0.30 thf(decl_69, type, emptyinPowerset: $o).
% 0.23/0.30 thf(decl_70, type, emptyInPowerset: $o).
% 0.23/0.30 thf(decl_71, type, powersetE: $o).
% 0.23/0.30 thf(decl_72, type, setunionI: $o).
% 0.23/0.30 thf(decl_73, type, setunionE: $o).
% 0.23/0.30 thf(decl_74, type, subPowSU: $o).
% 0.23/0.30 thf(decl_75, type, exuE2: $o).
% 0.23/0.30 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.23/0.30 thf(decl_77, type, uniqinunit: $o).
% 0.23/0.30 thf(decl_78, type, notinsingleton: $o).
% 0.23/0.30 thf(decl_79, type, eqinunit: $o).
% 0.23/0.30 thf(decl_80, type, singletonsswitch: $o).
% 0.23/0.30 thf(decl_81, type, upairsetE: $o).
% 0.23/0.30 thf(decl_82, type, upairsetIL: $o).
% 0.23/0.30 thf(decl_83, type, upairsetIR: $o).
% 0.23/0.30 thf(decl_84, type, emptyE1: $o).
% 0.23/0.30 thf(decl_85, type, vacuousDall: $o).
% 0.23/0.30 thf(decl_86, type, quantDeMorgan1: $o).
% 0.23/0.30 thf(decl_87, type, quantDeMorgan2: $o).
% 0.23/0.30 thf(decl_88, type, quantDeMorgan3: $o).
% 0.23/0.30 thf(decl_89, type, quantDeMorgan4: $o).
% 0.23/0.30 thf(decl_90, type, prop2setI: $o).
% 0.23/0.30 thf(decl_91, type, set2prop: $i > $o).
% 0.23/0.30 thf(decl_92, type, prop2set2propI: $o).
% 0.23/0.30 thf(decl_93, type, notdexE: $o).
% 0.23/0.30 thf(decl_94, type, notdallE: $o).
% 0.23/0.30 thf(decl_95, type, exuI1: $o).
% 0.23/0.30 thf(decl_96, type, exuI3: $o).
% 0.23/0.30 thf(decl_97, type, exuI2: $o).
% 0.23/0.30 thf(decl_98, type, inCongP: $o).
% 0.23/0.30 thf(decl_99, type, in__Cong: $o).
% 0.23/0.30 thf(decl_100, type, exuE3u: $o).
% 0.23/0.30 thf(decl_101, type, exu__Cong: $o).
% 0.23/0.30 thf(decl_102, type, emptyset__Cong: $o).
% 0.23/0.30 thf(decl_103, type, setadjoin__Cong: $o).
% 0.23/0.30 thf(decl_104, type, powerset__Cong: $o).
% 0.23/0.30 thf(decl_105, type, setunion__Cong: $o).
% 0.23/0.30 thf(decl_106, type, omega__Cong: $o).
% 0.23/0.30 thf(decl_107, type, exuEu: $o).
% 0.23/0.30 thf(decl_108, type, descr__Cong: $o).
% 0.23/0.30 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.23/0.30 thf(decl_110, type, subset: $i > $i > $o).
% 0.23/0.30 thf(decl_113, type, subsetI1: $o).
% 0.23/0.30 thf(decl_114, type, eqimpsubset2: $o).
% 0.23/0.30 thf(decl_115, type, eqimpsubset1: $o).
% 0.23/0.30 thf(decl_116, type, epred1_0: $o).
% 0.23/0.30 thf(decl_117, type, esk1_2: $i > $i > $i).
% 0.23/0.30 thf(decl_118, type, esk2_2: $i > $i > $i).
% 0.23/0.30 thf(decl_119, type, esk3_2: $i > $i > $i).
% 0.23/0.30 thf(decl_120, type, esk4_1: $i > $i).
% 0.23/0.30 thf(decl_121, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.23/0.30 thf(decl_122, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.23/0.30 thf(decl_123, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.23/0.30 thf(decl_124, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.23/0.30 thf(decl_125, type, esk9_1: $i > $i).
% 0.23/0.30 thf(decl_126, type, esk10_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_127, type, esk11_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_128, type, esk12_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_129, type, esk13_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_130, type, esk14_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_131, type, esk15_2: $i > $i > $i).
% 0.23/0.30 thf(decl_132, type, esk16_2: $i > $i > $i).
% 0.23/0.30 thf(decl_133, type, esk17_1: $i > $i).
% 0.23/0.30 thf(decl_134, type, esk18_1: $i > $i).
% 0.23/0.30 thf(decl_135, type, esk19_1: $i > $i).
% 0.23/0.30 thf(decl_136, type, esk20_2: $i > $i > $i).
% 0.23/0.30 thf(decl_137, type, esk21_3: $i > $i > $o > $i).
% 0.23/0.30 thf(decl_138, type, esk22_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_139, type, esk23_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_140, type, esk24_1: $i > $i).
% 0.23/0.30 thf(decl_141, type, esk25_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_142, type, esk26_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_143, type, esk27_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_144, type, esk28_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_145, type, esk29_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_146, type, esk30_2: $i > ($i > $o) > $i).
% 0.23/0.30 thf(decl_147, type, esk31_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_148, type, esk32_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_149, type, esk33_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_150, type, esk34_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_151, type, esk35_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_152, type, esk36_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_153, type, esk37_1: ($i > $o) > $i).
% 0.23/0.30 thf(decl_154, type, esk38_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_155, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_156, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_157, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_158, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_159, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_160, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_161, type, esk45_2: ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_162, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_163, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_164, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_165, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.23/0.30 thf(decl_166, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_167, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.23/0.30 thf(decl_168, type, esk52_2: $i > $i > $i).
% 0.23/0.30 thf(decl_169, type, esk53_0: $i).
% 0.23/0.30 thf(decl_170, type, esk54_0: $i).
% 0.23/0.30 thf(decl_171, type, esk55_0: $i).
% 0.23/0.30 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', replAx)).
% 0.23/0.30 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', exu)).
% 0.23/0.30 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', descrp)).
% 0.23/0.30 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', exuE1)).
% 0.23/0.30 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', exuE3e)).
% 0.23/0.30 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', nonempty)).
% 0.23/0.30 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', nonemptyI)).
% 0.23/0.30 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', exuE2)).
% 0.23/0.30 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.gLyMblKc5H/E---3.1_751455.p', exuI1)).
% 0.23/0.30 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', exuI3)).
% 0.23/0.30 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', exuI2)).
% 0.23/0.30 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.gLyMblKc5H/E---3.1_751455.p', exuE3u)).
% 0.23/0.30 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', exu__Cong)).
% 0.23/0.30 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', exuEu)).
% 0.23/0.30 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', descr__Cong)).
% 0.23/0.30 thf(subset, axiom, ((subset)=(^[X4:$i, X5:$i]:(![X2:$i]:((((in @ X2 @ X4))=>((in @ X2 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', subset)).
% 0.23/0.30 thf(subsetI2, 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)=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', subsetI2)).
% 0.23/0.30 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', dsetconstrI)).
% 0.23/0.30 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', dsetconstrEL)).
% 0.23/0.30 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', dsetconstrER)).
% 0.23/0.30 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setbeta)).
% 0.23/0.30 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', nonemptyE1)).
% 0.23/0.30 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', nonemptyI1)).
% 0.23/0.30 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setoftrueEq)).
% 0.23/0.30 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', nonemptyImpWitness)).
% 0.23/0.30 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.gLyMblKc5H/E---3.1_751455.p', emptyE1)).
% 0.23/0.30 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', dsetconstr__Cong)).
% 0.23/0.30 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', subsetI1)).
% 0.23/0.30 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', eqimpsubset2)).
% 0.23/0.30 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', eqimpsubset1)).
% 0.23/0.30 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setextAx)).
% 0.23/0.30 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', emptysetAx)).
% 0.23/0.30 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setadjoinAx)).
% 0.23/0.30 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', powersetAx)).
% 0.23/0.30 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setunionAx)).
% 0.23/0.30 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', omega0Ax)).
% 0.23/0.30 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', omegaSAx)).
% 0.23/0.30 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', omegaIndAx)).
% 0.23/0.30 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', foundationAx)).
% 0.23/0.30 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.gLyMblKc5H/E---3.1_751455.p', wellorderingAx)).
% 0.23/0.30 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', prop2setE)).
% 0.23/0.30 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', emptysetE)).
% 0.23/0.30 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', emptysetimpfalse)).
% 0.23/0.30 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', notinemptyset)).
% 0.23/0.30 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setext)).
% 0.23/0.30 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', emptyI)).
% 0.23/0.30 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', noeltsimpempty)).
% 0.23/0.30 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setadjoinIL)).
% 0.23/0.30 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', emptyinunitempty)).
% 0.23/0.30 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setadjoinIR)).
% 0.23/0.30 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.gLyMblKc5H/E---3.1_751455.p', setadjoinE)).
% 0.23/0.30 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setadjoinOr)).
% 0.23/0.30 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', powersetI)).
% 0.23/0.30 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', emptyinPowerset)).
% 0.23/0.30 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', emptyInPowerset)).
% 0.23/0.30 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', powersetE)).
% 0.23/0.30 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setunionI)).
% 0.23/0.30 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.gLyMblKc5H/E---3.1_751455.p', setunionE)).
% 0.23/0.30 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', subPowSU)).
% 0.23/0.30 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', uniqinunit)).
% 0.23/0.30 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', notinsingleton)).
% 0.23/0.30 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', eqinunit)).
% 0.23/0.30 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', singletonsswitch)).
% 0.23/0.30 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', upairsetE)).
% 0.23/0.30 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', upairsetIL)).
% 0.23/0.30 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', upairsetIR)).
% 0.23/0.30 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', vacuousDall)).
% 0.23/0.30 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', quantDeMorgan1)).
% 0.23/0.30 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', quantDeMorgan2)).
% 0.23/0.30 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', quantDeMorgan3)).
% 0.23/0.30 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', quantDeMorgan4)).
% 0.23/0.30 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', prop2setI)).
% 0.23/0.30 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', prop2set2propI)).
% 0.23/0.30 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', notdexE)).
% 0.23/0.30 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', notdallE)).
% 0.23/0.30 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', inCongP)).
% 0.23/0.30 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', in__Cong)).
% 0.23/0.30 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', emptyset__Cong)).
% 0.23/0.30 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setadjoin__Cong)).
% 0.23/0.30 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', powerset__Cong)).
% 0.23/0.30 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', setunion__Cong)).
% 0.23/0.30 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.gLyMblKc5H/E---3.1_751455.p', omega__Cong)).
% 0.23/0.30 thf(c_0_82, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.23/0.30 thf(c_0_83, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.23/0.30 thf(c_0_84, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.23/0.30 thf(c_0_85, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.23/0.30 thf(c_0_86, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.23/0.30 thf(c_0_87, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.23/0.30 thf(c_0_88, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.23/0.30 thf(c_0_89, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.23/0.30 thf(c_0_90, 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])).
% 0.23/0.30 thf(c_0_91, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.23/0.30 thf(c_0_92, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.23/0.30 thf(c_0_93, 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])).
% 0.23/0.30 thf(c_0_94, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.23/0.30 thf(c_0_95, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.23/0.30 thf(c_0_96, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.23/0.30 thf(c_0_97, plain, ((subset)=(^[Z0:$i, Z1:$i]:(![X2:$i]:((((in @ X2 @ Z0))=>((in @ X2 @ Z1))))))), inference(fof_simplification,[status(thm)],[subset])).
% 0.23/0.30 thf(c_0_98, 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)=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[subsetI2])).
% 0.23/0.30 thf(c_0_99, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X241:$i]:(((((X6 @ X2 @ X241)))&(![X242:$i]:(((((X6 @ X2 @ X242)))=>(((X241)=(X242)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_82, c_0_83])).
% 0.23/0.30 thf(c_0_100, plain, ((descrp)=(![X1:$i > $o]:((((?[X243:$i]:(((((X1 @ X243)))&(![X244:$i]:(((((X1 @ X244)))=>(((X243)=(X244))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_84, c_0_83])).
% 0.23/0.30 thf(c_0_101, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.23/0.30 thf(c_0_102, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.23/0.30 thf(c_0_103, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.23/0.30 thf(c_0_104, plain, ((exuE1)=(![X1:$i > $o]:((((?[X245:$i]:(((((X1 @ X245)))&(![X246:$i]:(((((X1 @ X246)))=>(((X245)=(X246))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_85, c_0_83])).
% 0.23/0.30 thf(c_0_105, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X247:$i]:(((((X1 @ X247)))&(![X248:$i]:(((((X1 @ X248)))=>(((X247)=(X248))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_86, c_0_83])).
% 0.23/0.30 thf(c_0_106, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.23/0.30 thf(c_0_107, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_87])).
% 0.23/0.30 thf(c_0_108, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_88, c_0_87])).
% 0.23/0.30 thf(c_0_109, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_87])).
% 0.23/0.30 thf(c_0_110, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.23/0.30 thf(c_0_111, plain, ((exuE2)=(![X1:$i > $o]:((((?[X249:$i]:(((((X1 @ X249)))&(![X250:$i]:(((((X1 @ X250)))=>(((X249)=(X250))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_89, c_0_83])).
% 0.23/0.30 thf(c_0_112, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_87])).
% 0.23/0.30 thf(c_0_113, 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])).
% 0.23/0.30 thf(c_0_114, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X251:$i]:(((((X1 @ X251)))&(![X252:$i]:(((((X1 @ X252)))=>(((X251)=(X252)))))))))))))), inference(apply_def,[status(thm)],[c_0_90, c_0_83])).
% 0.23/0.30 thf(c_0_115, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X253:$i]:(((((X1 @ X253)))&(![X254:$i]:(((((X1 @ X254)))=>(((X253)=(X254)))))))))))))))), inference(apply_def,[status(thm)],[c_0_91, c_0_83])).
% 0.23/0.30 thf(c_0_116, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X255:$i]:(((((X1 @ X255)))&(![X256:$i]:(((((X1 @ X256)))=>(((X255)=(X256)))))))))))))), inference(apply_def,[status(thm)],[c_0_92, c_0_83])).
% 0.23/0.30 thf(c_0_117, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X257:$i]:(((((X1 @ X257)))&(![X258:$i]:(((((X1 @ X258)))=>(((X257)=(X258))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_83])).
% 0.23/0.30 thf(c_0_118, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X259:$i]:(((((X1 @ X259)))&(![X260:$i]:(((((X1 @ X260)))=>(((X259)=(X260))))))))))<=>((?[X261:$i]:(((((X17 @ X261)))&(![X262:$i]:(((((X17 @ X262)))=>(((X261)=(X262)))))))))))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_83])).
% 0.23/0.30 thf(c_0_119, plain, ((exuEu)=(![X1:$i > $o]:((((?[X263:$i]:(((((X1 @ X263)))&(![X264:$i]:(((((X1 @ X264)))=>(((X263)=(X264))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_83])).
% 0.23/0.30 thf(c_0_120, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X265:$i]:(((((X1 @ X265)))&(![X266:$i]:(((((X1 @ X266)))=>(((X265)=(X266))))))))))=>((((?[X267:$i]:(((((X17 @ X267)))&(![X268:$i]:(((((X17 @ X268)))=>(((X267)=(X268))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_83])).
% 0.23/0.30 thf(c_0_121, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.23/0.30 thf(c_0_122, axiom, ((subsetI1)=(![X4:$i, X5:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((in @ X2 @ X5)))))=>((![X269:$i]:((((in @ X269 @ X4))=>((in @ X269 @ X5)))))))))), inference(apply_def,[status(thm)],[subsetI1, c_0_97])).
% 0.23/0.30 thf(c_0_123, axiom, ((eqimpsubset2)=(![X4:$i, X5:$i]:(((((X4)=(X5)))=>((![X270:$i]:((((in @ X270 @ X5))=>((in @ X270 @ X4)))))))))), inference(apply_def,[status(thm)],[eqimpsubset2, c_0_97])).
% 0.23/0.30 thf(c_0_124, axiom, ((eqimpsubset1)=(![X4:$i, X5:$i]:(((((X4)=(X5)))=>((![X271:$i]:((((in @ X271 @ X4))=>((in @ X271 @ X5)))))))))), inference(apply_def,[status(thm)],[eqimpsubset1, c_0_97])).
% 0.23/0.30 thf(c_0_125, plain, ((epred1_0)<=>![X301:$i]:(?[X302:$i]:((((![X303:$i]:(((in @ X303 @ X302)=>![X304:$i]:(((in @ X304 @ X303)=>(in @ X304 @ X301)))))&![X305:$i, X306:$i]:((((in @ X305 @ X301)&(in @ X306 @ X301))=>(![X307:$i]:(((in @ X307 @ X302)=>((in @ X305 @ X307)<=>(in @ X306 @ X307))))=>((X305)=(X306))))))&![X308:$i, X309:$i]:((((in @ X308 @ X302)&(in @ X309 @ X302))=>(![X310:$i]:(((in @ X310 @ X308)=>(in @ X310 @ X309)))|![X311:$i]:(((in @ X311 @ X309)=>(in @ X311 @ X308)))))))&![X312:$i]:(((![X313:$i]:(((in @ X313 @ X312)=>(in @ X313 @ X301)))&?[X314:$i]:((in @ X314 @ X312)))=>?[X315:$i, X316:$i]:(((((in @ X315 @ X302)&(in @ X316 @ X312))&~(?[X317:$i]:(((in @ X317 @ X315)&(in @ X317 @ X312)))))&![X318:$i]:(((in @ X318 @ X302)=>(![X319:$i]:(((in @ X319 @ X318)=>(in @ X319 @ X315)))|(in @ X316 @ X318)))))))))))), introduced(definition)).
% 0.23/0.30 thf(c_0_126, negated_conjecture, ~((![X272:$i, X273:$i]:((![X274:$i]:(((in @ X274 @ X272)<=>(in @ X274 @ X273)))=>((X272)=(X273))))=>(![X275:$i]:(~(in @ X275 @ emptyset))=>(![X276:$i, X277:$i, X278:$i]:(((in @ X278 @ (setadjoin @ X276 @ X277))<=>(((X278)=(X276))|(in @ X278 @ X277))))=>(![X279:$i, X280:$i]:(((in @ X280 @ (powerset @ X279))<=>![X281:$i]:(((in @ X281 @ X280)=>(in @ X281 @ X279)))))=>(![X282:$i, X283:$i]:(((in @ X283 @ (setunion @ X282))<=>?[X284:$i]:(((in @ X283 @ X284)&(in @ X284 @ X282)))))=>((in @ emptyset @ omega)=>(![X285:$i]:(((in @ X285 @ omega)=>(in @ (setadjoin @ X285 @ X285) @ omega)))=>(![X286:$i]:((((in @ emptyset @ X286)&![X287:$i]:((((in @ X287 @ omega)&(in @ X287 @ X286))=>(in @ (setadjoin @ X287 @ X287) @ X286))))=>![X288:$i]:(((in @ X288 @ omega)=>(in @ X288 @ X286)))))=>(![X289:$i > $i > $o, X290:$i]:((![X291:$i]:(((in @ X291 @ X290)=>?[X292:$i]:(((X289 @ X291 @ X292)&![X293:$i]:(((X289 @ X291 @ X293)=>((X292)=(X293))))))))=>?[X294:$i]:(![X295:$i]:(((in @ X295 @ X294)<=>?[X296:$i]:(((in @ X296 @ X290)&(X289 @ X296 @ X295))))))))=>(![X297:$i]:((?[X298:$i]:((in @ X298 @ X297))=>?[X299:$i]:(((in @ X299 @ X297)&~(?[X300:$i]:(((in @ X300 @ X299)&(in @ X300 @ X297))))))))=>((epred1_0)=>(![X320:$i > $o]:((?[X321:$i]:(((X320 @ X321)&![X322:$i]:(((X320 @ X322)=>((X321)=(X322))))))=>(X320 @ (descr @ (^[Z0:$i]:(X320 @ Z0))))))=>(![X323:$i, X324:$i > $o, X325:$i]:(((in @ X325 @ X323)=>((X324 @ X325)=>(in @ X325 @ (dsetconstr @ X323 @ X324)))))=>(![X326:$i, X327:$i > $o, X328:$i]:(((in @ X328 @ (dsetconstr @ X326 @ X327))=>(in @ X328 @ X326)))=>(![X329:$i, X330:$i > $o, X331:$i]:(((in @ X331 @ (dsetconstr @ X329 @ X330))=>(X330 @ X331)))=>(![X332:$i > $o]:((?[X333:$i]:(((X332 @ X333)&![X334:$i]:(((X332 @ X334)=>((X333)=(X334))))))=>?[X335:$i]:(((X332 @ X335)&![X336:$i]:(((X332 @ X336)=>((X335)=(X336))))))))=>(![X337:$o, X338:$i]:(((in @ X338 @ (prop2set @ ((X337))))=>(X337)))=>(![X339:$i]:(((in @ X339 @ emptyset)=>![X340:$o]:((X340))))=>(![X341:$i]:(((in @ X341 @ emptyset)=>~($true)))=>(![X342:$i]:(~(in @ X342 @ emptyset))=>(![X343:$i > $o]:((?[X344:$i]:(((X343 @ X344)&![X345:$i]:(((X343 @ X345)=>((X344)=(X345))))))=>?[X346:$i]:((X343 @ X346))))=>(![X347:$i, X348:$i]:((![X349:$i]:(((in @ X349 @ X347)=>(in @ X349 @ X348)))=>(![X350:$i]:(((in @ X350 @ X348)=>(in @ X350 @ X347)))=>((X347)=(X348)))))=>(![X351:$i]:((![X352:$i]:(~(in @ X352 @ X351))=>((X351)=(emptyset))))=>(![X353:$i]:((![X354:$i]:(~(in @ X354 @ X353))=>((X353)=(emptyset))))=>(![X355:$i, X356:$i > $o, X357:$i]:(((in @ X357 @ X355)=>((in @ X357 @ (dsetconstr @ X355 @ X356))<=>(X356 @ X357))))=>(![X358:$i]:((((X358)!=(emptyset))=>?[X359:$i]:((in @ X359 @ X358))))=>(![X360:$i, X361:$i > $o, X362:$i]:(((in @ X362 @ X360)=>((X361 @ X362)=>((dsetconstr @ X360 @ X361)!=(emptyset)))))=>(![X363:$i]:((?[X364:$i]:((in @ X364 @ X363))=>((X363)!=(emptyset))))=>(![X365:$i, X366:$i]:((in @ X365 @ (setadjoin @ X365 @ X366)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X367:$i, X368:$i, X369:$i]:(((in @ X369 @ X368)=>(in @ X369 @ (setadjoin @ X367 @ X368))))=>(![X370:$i, X371:$i, X372:$i]:(((in @ X372 @ (setadjoin @ X370 @ X371))=>![X373:$o]:(((((X372)=(X370))=>(X373))=>(((in @ X372 @ X371)=>(X373))=>(X373))))))=>(![X374:$i, X375:$i, X376:$i]:(((in @ X376 @ (setadjoin @ X374 @ X375))=>(((X376)=(X374))|(in @ X376 @ X375))))=>(![X377:$i]:(((dsetconstr @ X377 @ (^[Z0:$i]:($true)))=(X377)))=>(![X378:$i, X379:$i]:((![X380:$i]:(((in @ X380 @ X379)=>(in @ X380 @ X378)))=>(in @ X379 @ (powerset @ X378))))=>(![X381:$i]:((in @ emptyset @ (powerset @ X381)))=>(![X382:$i]:((in @ emptyset @ (powerset @ X382)))=>(![X383:$i, X384:$i, X385:$i]:(((in @ X384 @ (powerset @ X383))=>((in @ X385 @ X384)=>(in @ X385 @ X383))))=>(![X386:$i, X387:$i, X388:$i]:(((in @ X387 @ X388)=>((in @ X388 @ X386)=>(in @ X387 @ (setunion @ X386)))))=>(![X389:$i, X390:$i]:(((in @ X390 @ (setunion @ X389))=>![X391:$o]:((![X392:$i]:(((in @ X390 @ X392)=>((in @ X392 @ X389)=>(X391))))=>(X391)))))=>(![X393:$i, X394:$i]:(((in @ X394 @ X393)=>(in @ X394 @ (powerset @ (setunion @ X393)))))=>(![X395:$i > $o]:((?[X396:$i]:(((X395 @ X396)&![X397:$i]:(((X395 @ X397)=>((X396)=(X397))))))=>?[X398:$i]:(![X399:$i]:(((X395 @ X399)<=>((X399)=(X398)))))))=>(![X400:$i]:((((X400)!=(emptyset))=>?[X401:$i]:(((in @ X401 @ X400)&$true))))=>(![X402:$i, X403:$i]:(((in @ X402 @ (setadjoin @ X403 @ emptyset))=>((X402)=(X403))))=>(![X404:$i, X405:$i]:((((X404)!=(X405))=>~(in @ X405 @ (setadjoin @ X404 @ emptyset))))=>(![X406:$i, X407:$i]:((((X406)=(X407))=>(in @ X406 @ (setadjoin @ X407 @ emptyset))))=>(![X408:$i, X409:$i]:(((in @ X408 @ (setadjoin @ X409 @ emptyset))=>(in @ X409 @ (setadjoin @ X408 @ emptyset))))=>(![X410:$i, X411:$i, X412:$i]:(((in @ X412 @ (setadjoin @ X410 @ (setadjoin @ X411 @ emptyset)))=>(((X412)=(X410))|((X412)=(X411)))))=>(![X413:$i, X414:$i]:((in @ X413 @ (setadjoin @ X413 @ (setadjoin @ X414 @ emptyset))))=>(![X415:$i, X416:$i]:((in @ X416 @ (setadjoin @ X415 @ (setadjoin @ X416 @ emptyset))))=>(![X417:$i, X418:$i > $o]:((?[X419:$i]:(((in @ X419 @ X417)&(X418 @ X419)))=>(((dsetconstr @ X417 @ X418)=(emptyset))=>~($true))))=>(![X420:$i > $o, X421:$i]:(((in @ X421 @ emptyset)=>(X420 @ X421)))=>(![X422:$i, X423:$i > $o]:((~(![X424:$i]:(((in @ X424 @ X422)=>(X423 @ X424))))=>?[X425:$i]:(((in @ X425 @ X422)&~((X423 @ X425))))))=>(![X426:$i, X427:$i > $o]:((![X428:$i]:(((in @ X428 @ X426)=>~((X427 @ X428))))=>~(?[X429:$i]:(((in @ X429 @ X426)&(X427 @ X429))))))=>(![X430:$i, X431:$i > $o]:((~(?[X432:$i]:(((in @ X432 @ X430)&(X431 @ X432))))=>![X433:$i]:(((in @ X433 @ X430)=>~((X431 @ X433))))))=>(![X434:$i, X435:$i > $o]:((?[X436:$i]:(((in @ X436 @ X434)&~((X435 @ X436))))=>~(![X437:$i]:(((in @ X437 @ X434)=>(X435 @ X437))))))=>(![X438:$o]:(((X438)=>(in @ emptyset @ (prop2set @ ((X438))))))=>(![X439:$o]:(((X439)=>(set2prop @ (prop2set @ ((X439))))))=>(![X440:$i, X441:$i > $o]:((~(?[X442:$i]:(((in @ X442 @ X440)&(X441 @ X442))))=>![X443:$i]:(((in @ X443 @ X440)=>~((X441 @ X443))))))=>(![X444:$i, X445:$i > $o]:((~(![X446:$i]:(((in @ X446 @ X444)=>(X445 @ X446))))=>?[X447:$i]:(((in @ X447 @ X444)&~((X445 @ X447))))))=>(![X448:$i > $o]:((?[X449:$i]:(((X448 @ X449)&![X450:$i]:(((X448 @ X450)=>((X449)=(X450))))))=>?[X451:$i]:(((X448 @ X451)&![X452:$i]:(((X448 @ X452)=>((X451)=(X452))))))))=>(![X453:$i > $o]:((?[X454:$i]:((X453 @ X454))=>(![X455:$i, X456:$i]:(((X453 @ X455)=>((X453 @ X456)=>((X455)=(X456)))))=>?[X457:$i]:(((X453 @ X457)&![X458:$i]:(((X453 @ X458)=>((X457)=(X458)))))))))=>(![X459:$i > $o]:((?[X460:$i]:(![X461:$i]:(((X459 @ X461)<=>((X461)=(X460)))))=>?[X462:$i]:(((X459 @ X462)&![X463:$i]:(((X459 @ X463)=>((X462)=(X463))))))))=>(![X464:$i, X465:$i]:((((X464)=(X465))=>![X466:$i, X467:$i]:((((X466)=(X467))=>((in @ X466 @ X464)=>(in @ X467 @ X465))))))=>(![X468:$i, X469:$i]:((((X468)=(X469))=>![X470:$i, X471:$i]:((((X470)=(X471))=>((in @ X470 @ X468)<=>(in @ X471 @ X469))))))=>(![X472:$i > $o]:((?[X473:$i]:(((X472 @ X473)&![X474:$i]:(((X472 @ X474)=>((X473)=(X474))))))=>![X475:$i, X476:$i]:(((X472 @ X475)=>((X472 @ X476)=>((X475)=(X476)))))))=>(![X477:$i > $o, X478:$i > $o]:((![X479:$i, X480:$i]:((((X479)=(X480))=>((X477 @ X479)<=>(X478 @ X480))))=>(?[X481:$i]:(((X477 @ X481)&![X482:$i]:(((X477 @ X482)=>((X481)=(X482))))))<=>?[X483:$i]:(((X478 @ X483)&![X484:$i]:(((X478 @ X484)=>((X483)=(X484)))))))))=>(((emptyset)=(emptyset))=>(![X485:$i, X486:$i]:((((X485)=(X486))=>![X487:$i, X488:$i]:((((X487)=(X488))=>((setadjoin @ X485 @ X487)=(setadjoin @ X486 @ X488))))))=>(![X489:$i, X490:$i]:((((X489)=(X490))=>((powerset @ X489)=(powerset @ X490))))=>(![X491:$i, X492:$i]:((((X491)=(X492))=>((setunion @ X491)=(setunion @ X492))))=>(((omega)=(omega))=>(![X493:$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:$i]:(((X499 @ X505)=>((X504)=(X505))))))=>((descr @ X498)=(descr @ X499))))))=>(![X506:$i, X507:$i]:((((X506)=(X507))=>![X508:$i > $o, X509:$i > $o]:((![X510:$i]:(((in @ X510 @ X506)=>![X511:$i]:(((in @ X511 @ X507)=>(((X510)=(X511))=>((X508 @ X510)<=>(X509 @ X511)))))))=>((dsetconstr @ X506 @ X508)=(dsetconstr @ X507 @ X509))))))=>(![X512:$i, X513:$i]:((![X514:$i]:(((in @ X514 @ X512)=>(in @ X514 @ X513)))=>![X515:$i]:(((in @ X515 @ X512)=>(in @ X515 @ X513)))))=>(![X516:$i, X517:$i]:((((X516)=(X517))=>![X518:$i]:(((in @ X518 @ X517)=>(in @ X518 @ X516)))))=>(![X519:$i, X520:$i]:((((X519)=(X520))=>![X521:$i]:(((in @ X521 @ X519)=>(in @ X521 @ X520)))))=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>![X522:$i]:(((in @ X522 @ X4)=>(in @ X522 @ 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)],[c_0_98, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_99]), foundationAx]), wellorderingAx]), c_0_100]), c_0_101]), c_0_102]), c_0_103]), c_0_104]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_105]), setext]), emptyI]), noeltsimpempty]), c_0_106]), c_0_107]), c_0_108]), c_0_109]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_110]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_111]), c_0_112]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_113]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_114]), c_0_115]), c_0_116]), inCongP]), in__Cong]), c_0_117]), c_0_118]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_119]), c_0_120]), c_0_121]), c_0_97]), c_0_122]), c_0_123]), c_0_124])])]), c_0_125])).
% 0.23/0.30 thf(c_0_127, negated_conjecture, ![X523:$i, X524:$i, X526:$i, X527:$i, X528:$i, X529:$i, X530:$i, X531:$i, X532:$i, X533:$i, X534:$i, X536:$i, X537:$i, X539:$i, X540:$i, X541:$i, X542:$i, X543:$i, X545:$i, X546:$i > $i > $o, X547:$i, X549:$i, X552:$i, X554:$i, X555:$i, X556:$i, X557:$i, X559:$i, X560:$i > $o, X561:$i, X563:$i, X564:$i > $o, X565:$i, X566:$i, X567:$i > $o, X568:$i, X569:$i, X570:$i > $o, X571:$i, X572:$i > $o, X573:$i, X576:$i, X577:$o, X578:$i, X579:$i, X580:$o, X581:$i, X582:$i, X583:$i > $o, X584:$i, X587:$i, X588:$i, X591:$i, X593:$i, X595:$i, X596:$i > $o, X597:$i, X598:$i, X600:$i, X601:$i > $o, X602:$i, X603:$i, X604:$i, X605:$i, X606:$i, X607:$i, X608:$i, X609:$i, X610:$i, X611:$i, X612:$i, X613:$o, X614:$i, X615:$i, X616:$i, X617:$i, X618:$i, X619:$i, X621:$i, X622:$i, X623:$i, X624:$i, X625:$i, X626:$i, X627:$i, X628:$i, X629:$i, X630:$i, X631:$o, X633:$i, X634:$i, X635:$i > $o, X636:$i, X639:$i, X640:$i, X641:$i, X643:$i, X644:$i, X645:$i, X646:$i, X647:$i, X648:$i, X649:$i, X650:$i, X651:$i, X652:$i, X653:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i > $o, X660:$i, X661:$i > $o, X662:$i, X663:$i, X664:$i > $o, X665:$i, X667:$i, X668:$i > $o, X670:$i, X671:$i, X672:$i > $o, X674:$i, X675:$i, X676:$i > $o, X677:$i, X679:$o, X680:$o, X681:$i, X682:$i > $o, X684:$i, X685:$i, X686:$i > $o, X687:$i, X689:$i > $o, X690:$i, X693:$i, X694:$i > $o, X695:$i, X699:$i, X700:$i > $o, X701:$i, X704:$i, X705:$i, X706:$i, X707:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X713:$i > $o, X714:$i, X716:$i, X717:$i, X718:$i > $o, X719:$i > $o, X722:$i, X725:$i, X726:$i, X729:$i, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i > $o, X739:$i, X741:$i, X742:$i, X743:$i > $o, X744:$i > $o, X747:$i, X749:$i, X751:$i, X752:$i, X753:$i > $o, X754:$i > $o, X757:$i, X758:$i, X760:$i, X761:$i, X762:$i, X763:$i, X764:$i, X765:$i, X766:$i, X769:$i]:((((~(in @ (esk1_2 @ X523 @ X524) @ X523)|~(in @ (esk1_2 @ X523 @ X524) @ X524)|((X523)=(X524)))&((in @ (esk1_2 @ X523 @ X524) @ X523)|(in @ (esk1_2 @ X523 @ X524) @ X524)|((X523)=(X524))))&(~(in @ X526 @ emptyset)&(((~(in @ X529 @ (setadjoin @ X527 @ X528))|(((X529)=(X527))|(in @ X529 @ X528)))&((((X529)!=(X527))|(in @ X529 @ (setadjoin @ X527 @ X528)))&(~(in @ X529 @ X528)|(in @ X529 @ (setadjoin @ X527 @ X528)))))&(((~(in @ X531 @ (powerset @ X530))|(~(in @ X532 @ X531)|(in @ X532 @ X530)))&(((in @ (esk2_2 @ X533 @ X534) @ X534)|(in @ X534 @ (powerset @ X533)))&(~(in @ (esk2_2 @ X533 @ X534) @ X533)|(in @ X534 @ (powerset @ X533)))))&(((((in @ X537 @ (esk3_2 @ X536 @ X537))|~(in @ X537 @ (setunion @ X536)))&((in @ (esk3_2 @ X536 @ X537) @ X536)|~(in @ X537 @ (setunion @ X536))))&(~(in @ X540 @ X541)|~(in @ X541 @ X539)|(in @ X540 @ (setunion @ X539))))&((in @ emptyset @ omega)&((~(in @ X542 @ omega)|(in @ (setadjoin @ X542 @ X542) @ omega))&(((((in @ (esk4_1 @ X543) @ omega)|~(in @ emptyset @ X543)|(~(in @ X545 @ omega)|(in @ X545 @ X543)))&((in @ (esk4_1 @ X543) @ X543)|~(in @ emptyset @ X543)|(~(in @ X545 @ omega)|(in @ X545 @ X543))))&(~(in @ (setadjoin @ (esk4_1 @ X543) @ (esk4_1 @ X543)) @ X543)|~(in @ emptyset @ X543)|(~(in @ X545 @ omega)|(in @ X545 @ X543))))&((((((in @ (esk8_3 @ X546 @ X547 @ X552) @ X547)|~(in @ X552 @ (esk7_2 @ X546 @ X547))|(in @ (esk5_2 @ X546 @ X547) @ X547))&((X546 @ (esk8_3 @ X546 @ X547 @ X552) @ X552)|~(in @ X552 @ (esk7_2 @ X546 @ X547))|(in @ (esk5_2 @ X546 @ X547) @ X547)))&(~(in @ X555 @ X547)|~(X546 @ X555 @ X554)|(in @ X554 @ (esk7_2 @ X546 @ X547))|(in @ (esk5_2 @ X546 @ X547) @ X547)))&(((((in @ (esk8_3 @ X546 @ X547 @ X552) @ X547)|~(in @ X552 @ (esk7_2 @ X546 @ X547))|((X546 @ (esk5_2 @ X546 @ X547) @ (esk6_3 @ X546 @ X547 @ X549))|~(X546 @ (esk5_2 @ X546 @ X547) @ X549)))&((X546 @ (esk8_3 @ X546 @ X547 @ X552) @ X552)|~(in @ X552 @ (esk7_2 @ X546 @ X547))|((X546 @ (esk5_2 @ X546 @ X547) @ (esk6_3 @ X546 @ X547 @ X549))|~(X546 @ (esk5_2 @ X546 @ X547) @ X549))))&(~(in @ X555 @ X547)|~(X546 @ X555 @ X554)|(in @ X554 @ (esk7_2 @ X546 @ X547))|((X546 @ (esk5_2 @ X546 @ X547) @ (esk6_3 @ X546 @ X547 @ X549))|~(X546 @ (esk5_2 @ X546 @ X547) @ X549))))&((((in @ (esk8_3 @ X546 @ X547 @ X552) @ X547)|~(in @ X552 @ (esk7_2 @ X546 @ X547))|(((X549)!=(esk6_3 @ X546 @ X547 @ X549))|~(X546 @ (esk5_2 @ X546 @ X547) @ X549)))&((X546 @ (esk8_3 @ X546 @ X547 @ X552) @ X552)|~(in @ X552 @ (esk7_2 @ X546 @ X547))|(((X549)!=(esk6_3 @ X546 @ X547 @ X549))|~(X546 @ (esk5_2 @ X546 @ X547) @ X549))))&(~(in @ X555 @ X547)|~(X546 @ X555 @ X554)|(in @ X554 @ (esk7_2 @ X546 @ X547))|(((X549)!=(esk6_3 @ X546 @ X547 @ X549))|~(X546 @ (esk5_2 @ X546 @ X547) @ X549))))))&((((in @ (esk9_1 @ X556) @ X556)|~(in @ X557 @ X556))&(~(in @ X559 @ (esk9_1 @ X556))|~(in @ X559 @ X556)|~(in @ X557 @ X556)))&((epred1_0)&((((X560 @ (esk10_2 @ X560 @ X561))|~(X560 @ X561)|(X560 @ (descr @ X560)))&(((X561)!=(esk10_2 @ X560 @ X561))|~(X560 @ X561)|(X560 @ (descr @ X560))))&((~(in @ X565 @ X563)|(~(X564 @ X565)|(in @ X565 @ (dsetconstr @ X563 @ X564))))&((~(in @ X568 @ (dsetconstr @ X566 @ X567))|(in @ X568 @ X566))&((~(in @ X571 @ (dsetconstr @ X569 @ X570))|(X570 @ X571))&(((((X572 @ (esk12_1 @ X572))|((X572 @ (esk11_2 @ X572 @ X573))|~(X572 @ X573)))&(~(X572 @ X576)|((esk12_1 @ X572)=(X576))|((X572 @ (esk11_2 @ X572 @ X573))|~(X572 @ X573))))&(((X572 @ (esk12_1 @ X572))|(((X573)!=(esk11_2 @ X572 @ X573))|~(X572 @ X573)))&(~(X572 @ X576)|((esk12_1 @ X572)=(X576))|(((X573)!=(esk11_2 @ X572 @ X573))|~(X572 @ X573)))))&((~(in @ X578 @ (prop2set @ ((X577))))|(X577))&((~(in @ X579 @ emptyset)|(X580))&((~(in @ X581 @ emptyset)|~($true))&(~(in @ X582 @ emptyset)&((((X583 @ (esk13_2 @ X583 @ X584))|~(X583 @ X584)|(X583 @ (esk14_1 @ X583)))&(((X584)!=(esk13_2 @ X583 @ X584))|~(X583 @ X584)|(X583 @ (esk14_1 @ X583))))&(((((in @ (esk16_2 @ X587 @ X588) @ X588)|((X587)=(X588))|(in @ (esk15_2 @ X587 @ X588) @ X587))&(~(in @ (esk16_2 @ X587 @ X588) @ X587)|((X587)=(X588))|(in @ (esk15_2 @ X587 @ X588) @ X587)))&(((in @ (esk16_2 @ X587 @ X588) @ X588)|((X587)=(X588))|~(in @ (esk15_2 @ X587 @ X588) @ X588))&(~(in @ (esk16_2 @ X587 @ X588) @ X587)|((X587)=(X588))|~(in @ (esk15_2 @ X587 @ X588) @ X588))))&(((in @ (esk17_1 @ X591) @ X591)|((X591)=(emptyset)))&(((in @ (esk18_1 @ X593) @ X593)|((X593)=(emptyset)))&(((~(in @ X597 @ (dsetconstr @ X595 @ X596))|(X596 @ X597)|~(in @ X597 @ X595))&(~(X596 @ X597)|(in @ X597 @ (dsetconstr @ X595 @ X596))|~(in @ X597 @ X595)))&((((X598)=(emptyset))|(in @ (esk19_1 @ X598) @ X598))&((~(in @ X602 @ X600)|(~(X601 @ X602)|((dsetconstr @ X600 @ X601)!=(emptyset))))&((~(in @ X604 @ X603)|((X603)!=(emptyset)))&((in @ X605 @ (setadjoin @ X605 @ X606))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X609 @ X608)|(in @ X609 @ (setadjoin @ X607 @ X608)))&(((((in @ X612 @ X611)|(X613)|((X612)=(X610))|~(in @ X612 @ (setadjoin @ X610 @ X611)))&(~(X613)|(X613)|((X612)=(X610))|~(in @ X612 @ (setadjoin @ X610 @ X611))))&(((in @ X612 @ X611)|(X613)|~(X613)|~(in @ X612 @ (setadjoin @ X610 @ X611)))&(~(X613)|(X613)|~(X613)|~(in @ X612 @ (setadjoin @ X610 @ X611)))))&((~(in @ X616 @ (setadjoin @ X614 @ X615))|(((X616)=(X614))|(in @ X616 @ X615)))&(((dsetconstr @ X617 @ (^[Z0:$i]:($true)))=(X617))&((((in @ (esk20_2 @ X618 @ X619) @ X619)|(in @ X619 @ (powerset @ X618)))&(~(in @ (esk20_2 @ X618 @ X619) @ X618)|(in @ X619 @ (powerset @ X618))))&((in @ emptyset @ (powerset @ X621))&((in @ emptyset @ (powerset @ X622))&((~(in @ X624 @ (powerset @ X623))|(~(in @ X625 @ X624)|(in @ X625 @ X623)))&((~(in @ X627 @ X628)|(~(in @ X628 @ X626)|(in @ X627 @ (setunion @ X626))))&((((in @ X630 @ (esk21_3 @ X629 @ X630 @ X631))|(X631)|~(in @ X630 @ (setunion @ X629)))&(((in @ (esk21_3 @ X629 @ X630 @ X631) @ X629)|(X631)|~(in @ X630 @ (setunion @ X629)))&(~(X631)|(X631)|~(in @ X630 @ (setunion @ X629)))))&((~(in @ X634 @ X633)|(in @ X634 @ (powerset @ (setunion @ X633))))&((((~(X635 @ X639)|((X639)=(esk23_1 @ X635))|((X635 @ (esk22_2 @ X635 @ X636))|~(X635 @ X636)))&(((X640)!=(esk23_1 @ X635))|(X635 @ X640)|((X635 @ (esk22_2 @ X635 @ X636))|~(X635 @ X636))))&((~(X635 @ X639)|((X639)=(esk23_1 @ X635))|(((X636)!=(esk22_2 @ X635 @ X636))|~(X635 @ X636)))&(((X640)!=(esk23_1 @ X635))|(X635 @ X640)|(((X636)!=(esk22_2 @ X635 @ X636))|~(X635 @ X636)))))&((((in @ (esk24_1 @ X641) @ X641)|((X641)=(emptyset)))&(($true)|((X641)=(emptyset))))&((~(in @ X643 @ (setadjoin @ X644 @ emptyset))|((X643)=(X644)))&((((X645)=(X646))|~(in @ X646 @ (setadjoin @ X645 @ emptyset)))&((((X647)!=(X648))|(in @ X647 @ (setadjoin @ X648 @ emptyset)))&((~(in @ X649 @ (setadjoin @ X650 @ emptyset))|(in @ X650 @ (setadjoin @ X649 @ emptyset)))&((~(in @ X653 @ (setadjoin @ X651 @ (setadjoin @ X652 @ emptyset)))|(((X653)=(X651))|((X653)=(X652))))&((in @ X654 @ (setadjoin @ X654 @ (setadjoin @ X655 @ emptyset)))&((in @ X657 @ (setadjoin @ X656 @ (setadjoin @ X657 @ emptyset)))&((~(in @ X660 @ X658)|~(X659 @ X660)|(((dsetconstr @ X658 @ X659)!=(emptyset))|~($true)))&((~(in @ X662 @ emptyset)|(X661 @ X662))&((((in @ (esk25_2 @ X663 @ X664) @ X663)|(~(in @ X665 @ X663)|(X664 @ X665)))&(~(X664 @ (esk25_2 @ X663 @ X664))|(~(in @ X665 @ X663)|(X664 @ X665))))&((((in @ (esk26_2 @ X667 @ X668) @ X667)|(~(in @ X670 @ X667)|~(X668 @ X670)))&((X668 @ (esk26_2 @ X667 @ X668))|(~(in @ X670 @ X667)|~(X668 @ X670))))&((((in @ (esk27_2 @ X671 @ X672) @ X671)|(~(in @ X674 @ X671)|~(X672 @ X674)))&((X672 @ (esk27_2 @ X671 @ X672))|(~(in @ X674 @ X671)|~(X672 @ X674))))&((((in @ (esk28_2 @ X675 @ X676) @ X675)|(~(in @ X677 @ X675)|(X676 @ X677)))&(~(X676 @ (esk28_2 @ X675 @ X676))|(~(in @ X677 @ X675)|(X676 @ X677))))&((~(X679)|(in @ emptyset @ (prop2set @ ((X679)))))&((~(X680)|(set2prop @ (prop2set @ ((X680)))))&((((in @ (esk29_2 @ X681 @ X682) @ X681)|(~(in @ X684 @ X681)|~(X682 @ X684)))&((X682 @ (esk29_2 @ X681 @ X682))|(~(in @ X684 @ X681)|~(X682 @ X684))))&((((in @ (esk30_2 @ X685 @ X686) @ X685)|(~(in @ X687 @ X685)|(X686 @ X687)))&(~(X686 @ (esk30_2 @ X685 @ X686))|(~(in @ X687 @ X685)|(X686 @ X687))))&(((((X689 @ (esk32_1 @ X689))|((X689 @ (esk31_2 @ X689 @ X690))|~(X689 @ X690)))&(~(X689 @ X693)|((esk32_1 @ X689)=(X693))|((X689 @ (esk31_2 @ X689 @ X690))|~(X689 @ X690))))&(((X689 @ (esk32_1 @ X689))|(((X690)!=(esk31_2 @ X689 @ X690))|~(X689 @ X690)))&(~(X689 @ X693)|((esk32_1 @ X689)=(X693))|(((X690)!=(esk31_2 @ X689 @ X690))|~(X689 @ X690)))))&(((((X694 @ (esk35_1 @ X694))|(X694 @ (esk33_1 @ X694))|~(X694 @ X695))&(~(X694 @ X699)|((esk35_1 @ X694)=(X699))|(X694 @ (esk33_1 @ X694))|~(X694 @ X695)))&((((X694 @ (esk35_1 @ X694))|(X694 @ (esk34_1 @ X694))|~(X694 @ X695))&(~(X694 @ X699)|((esk35_1 @ X694)=(X699))|(X694 @ (esk34_1 @ X694))|~(X694 @ X695)))&(((X694 @ (esk35_1 @ X694))|((esk33_1 @ X694)!=(esk34_1 @ X694))|~(X694 @ X695))&(~(X694 @ X699)|((esk35_1 @ X694)=(X699))|((esk33_1 @ X694)!=(esk34_1 @ X694))|~(X694 @ X695)))))&(((((X700 @ (esk37_1 @ X700))|(~(X700 @ (esk36_2 @ X700 @ X701))|((esk36_2 @ X700 @ X701)!=(X701))))&(~(X700 @ X704)|((esk37_1 @ X700)=(X704))|(~(X700 @ (esk36_2 @ X700 @ X701))|((esk36_2 @ X700 @ X701)!=(X701)))))&(((X700 @ (esk37_1 @ X700))|((X700 @ (esk36_2 @ X700 @ X701))|((esk36_2 @ X700 @ X701)=(X701))))&(~(X700 @ X704)|((esk37_1 @ X700)=(X704))|((X700 @ (esk36_2 @ X700 @ X701))|((esk36_2 @ X700 @ X701)=(X701))))))&((((X705)!=(X706))|(((X707)!=(X708))|(~(in @ X707 @ X705)|(in @ X708 @ X706))))&(((~(in @ X711 @ X709)|(in @ X712 @ X710)|((X711)!=(X712))|((X709)!=(X710)))&(~(in @ X712 @ X710)|(in @ X711 @ X709)|((X711)!=(X712))|((X709)!=(X710))))&((((X713 @ (esk38_2 @ X713 @ X714))|~(X713 @ X714)|(~(X713 @ X716)|(~(X713 @ X717)|((X716)=(X717)))))&(((X714)!=(esk38_2 @ X713 @ X714))|~(X713 @ X714)|(~(X713 @ X716)|(~(X713 @ X717)|((X716)=(X717))))))&(((((((X719 @ (esk42_2 @ X718 @ X719))|((X718 @ (esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|((esk39_2 @ X718 @ X719)=(esk40_2 @ X718 @ X719)))&(~(X719 @ X725)|((esk42_2 @ X718 @ X719)=(X725))|((X718 @ (esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|((esk39_2 @ X718 @ X719)=(esk40_2 @ X718 @ X719))))&(((X719 @ (esk42_2 @ X718 @ X719))|(((X722)!=(esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|((esk39_2 @ X718 @ X719)=(esk40_2 @ X718 @ X719)))&(~(X719 @ X725)|((esk42_2 @ X718 @ X719)=(X725))|(((X722)!=(esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|((esk39_2 @ X718 @ X719)=(esk40_2 @ X718 @ X719)))))&((((X718 @ (esk44_2 @ X718 @ X719))|((X719 @ (esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|((esk39_2 @ X718 @ X719)=(esk40_2 @ X718 @ X719)))&(~(X718 @ X729)|((esk44_2 @ X718 @ X719)=(X729))|((X719 @ (esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|((esk39_2 @ X718 @ X719)=(esk40_2 @ X718 @ X719))))&(((X718 @ (esk44_2 @ X718 @ X719))|(((X726)!=(esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|((esk39_2 @ X718 @ X719)=(esk40_2 @ X718 @ X719)))&(~(X718 @ X729)|((esk44_2 @ X718 @ X719)=(X729))|(((X726)!=(esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|((esk39_2 @ X718 @ X719)=(esk40_2 @ X718 @ X719))))))&((((((X719 @ (esk42_2 @ X718 @ X719))|((X718 @ (esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|(~(X718 @ (esk39_2 @ X718 @ X719))|~(X719 @ (esk40_2 @ X718 @ X719))))&(~(X719 @ X725)|((esk42_2 @ X718 @ X719)=(X725))|((X718 @ (esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|(~(X718 @ (esk39_2 @ X718 @ X719))|~(X719 @ (esk40_2 @ X718 @ X719)))))&(((X719 @ (esk42_2 @ X718 @ X719))|(((X722)!=(esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|(~(X718 @ (esk39_2 @ X718 @ X719))|~(X719 @ (esk40_2 @ X718 @ X719))))&(~(X719 @ X725)|((esk42_2 @ X718 @ X719)=(X725))|(((X722)!=(esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|(~(X718 @ (esk39_2 @ X718 @ X719))|~(X719 @ (esk40_2 @ X718 @ X719))))))&((((X718 @ (esk44_2 @ X718 @ X719))|((X719 @ (esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|(~(X718 @ (esk39_2 @ X718 @ X719))|~(X719 @ (esk40_2 @ X718 @ X719))))&(~(X718 @ X729)|((esk44_2 @ X718 @ X719)=(X729))|((X719 @ (esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|(~(X718 @ (esk39_2 @ X718 @ X719))|~(X719 @ (esk40_2 @ X718 @ X719)))))&(((X718 @ (esk44_2 @ X718 @ X719))|(((X726)!=(esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|(~(X718 @ (esk39_2 @ X718 @ X719))|~(X719 @ (esk40_2 @ X718 @ X719))))&(~(X718 @ X729)|((esk44_2 @ X718 @ X719)=(X729))|(((X726)!=(esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|(~(X718 @ (esk39_2 @ X718 @ X719))|~(X719 @ (esk40_2 @ X718 @ X719)))))))&(((((X719 @ (esk42_2 @ X718 @ X719))|((X718 @ (esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|((X718 @ (esk39_2 @ X718 @ X719))|(X719 @ (esk40_2 @ X718 @ X719))))&(~(X719 @ X725)|((esk42_2 @ X718 @ X719)=(X725))|((X718 @ (esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|((X718 @ (esk39_2 @ X718 @ X719))|(X719 @ (esk40_2 @ X718 @ X719)))))&(((X719 @ (esk42_2 @ X718 @ X719))|(((X722)!=(esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|((X718 @ (esk39_2 @ X718 @ X719))|(X719 @ (esk40_2 @ X718 @ X719))))&(~(X719 @ X725)|((esk42_2 @ X718 @ X719)=(X725))|(((X722)!=(esk41_3 @ X718 @ X719 @ X722))|~(X718 @ X722))|((X718 @ (esk39_2 @ X718 @ X719))|(X719 @ (esk40_2 @ X718 @ X719))))))&((((X718 @ (esk44_2 @ X718 @ X719))|((X719 @ (esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|((X718 @ (esk39_2 @ X718 @ X719))|(X719 @ (esk40_2 @ X718 @ X719))))&(~(X718 @ X729)|((esk44_2 @ X718 @ X719)=(X729))|((X719 @ (esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|((X718 @ (esk39_2 @ X718 @ X719))|(X719 @ (esk40_2 @ X718 @ X719)))))&(((X718 @ (esk44_2 @ X718 @ X719))|(((X726)!=(esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|((X718 @ (esk39_2 @ X718 @ X719))|(X719 @ (esk40_2 @ X718 @ X719))))&(~(X718 @ X729)|((esk44_2 @ X718 @ X719)=(X729))|(((X726)!=(esk43_3 @ X718 @ X719 @ X726))|~(X719 @ X726))|((X718 @ (esk39_2 @ X718 @ X719))|(X719 @ (esk40_2 @ X718 @ X719)))))))))&(((emptyset)=(emptyset))&((((X730)!=(X731))|(((X732)!=(X733))|((setadjoin @ X730 @ X732)=(setadjoin @ X731 @ X733))))&((((X734)!=(X735))|((powerset @ X734)=(powerset @ X735)))&((((X736)!=(X737))|((setunion @ X736)=(setunion @ X737)))&(((omega)=(omega))&((((X738 @ (esk45_2 @ X738 @ X739))|~(X738 @ X739)|(~(X738 @ X741)|(~(X738 @ X742)|((X741)=(X742)))))&(((X739)!=(esk45_2 @ X738 @ X739))|~(X738 @ X739)|(~(X738 @ X741)|(~(X738 @ X742)|((X741)=(X742))))))&((((((X744 @ (esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|((X743 @ (esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|((esk46_2 @ X743 @ X744)=(esk47_2 @ X743 @ X744)))&(((X749)!=(esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|((X743 @ (esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|((esk46_2 @ X743 @ X744)=(esk47_2 @ X743 @ X744))))&(((X744 @ (esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|(((X747)!=(esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|((esk46_2 @ X743 @ X744)=(esk47_2 @ X743 @ X744)))&(((X749)!=(esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|(((X747)!=(esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|((esk46_2 @ X743 @ X744)=(esk47_2 @ X743 @ X744)))))&(((((X744 @ (esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|((X743 @ (esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|(~(X743 @ (esk46_2 @ X743 @ X744))|~(X744 @ (esk47_2 @ X743 @ X744))))&(((X749)!=(esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|((X743 @ (esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|(~(X743 @ (esk46_2 @ X743 @ X744))|~(X744 @ (esk47_2 @ X743 @ X744)))))&(((X744 @ (esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|(((X747)!=(esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|(~(X743 @ (esk46_2 @ X743 @ X744))|~(X744 @ (esk47_2 @ X743 @ X744))))&(((X749)!=(esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|(((X747)!=(esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|(~(X743 @ (esk46_2 @ X743 @ X744))|~(X744 @ (esk47_2 @ X743 @ X744))))))&((((X744 @ (esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|((X743 @ (esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|((X743 @ (esk46_2 @ X743 @ X744))|(X744 @ (esk47_2 @ X743 @ X744))))&(((X749)!=(esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|((X743 @ (esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|((X743 @ (esk46_2 @ X743 @ X744))|(X744 @ (esk47_2 @ X743 @ X744)))))&(((X744 @ (esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|(((X747)!=(esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|((X743 @ (esk46_2 @ X743 @ X744))|(X744 @ (esk47_2 @ X743 @ X744))))&(((X749)!=(esk49_3 @ X743 @ X744 @ X749))|~(X744 @ X749)|((descr @ X743)=(descr @ X744))|(((X747)!=(esk48_3 @ X743 @ X744 @ X747))|~(X743 @ X747))|((X743 @ (esk46_2 @ X743 @ X744))|(X744 @ (esk47_2 @ X743 @ X744))))))))&((((in @ (esk50_4 @ X751 @ X752 @ X753 @ X754) @ X751)|((dsetconstr @ X751 @ X753)=(dsetconstr @ X752 @ X754))|((X751)!=(X752)))&(((in @ (esk51_4 @ X751 @ X752 @ X753 @ X754) @ X752)|((dsetconstr @ X751 @ X753)=(dsetconstr @ X752 @ X754))|((X751)!=(X752)))&((((esk50_4 @ X751 @ X752 @ X753 @ X754)=(esk51_4 @ X751 @ X752 @ X753 @ X754))|((dsetconstr @ X751 @ X753)=(dsetconstr @ X752 @ X754))|((X751)!=(X752)))&((~(X753 @ (esk50_4 @ X751 @ X752 @ X753 @ X754))|~(X754 @ (esk51_4 @ X751 @ X752 @ X753 @ X754))|((dsetconstr @ X751 @ X753)=(dsetconstr @ X752 @ X754))|((X751)!=(X752)))&((X753 @ (esk50_4 @ X751 @ X752 @ X753 @ X754))|(X754 @ (esk51_4 @ X751 @ X752 @ X753 @ X754))|((dsetconstr @ X751 @ X753)=(dsetconstr @ X752 @ X754))|((X751)!=(X752)))))))&((((in @ (esk52_2 @ X757 @ X758) @ X757)|(~(in @ X760 @ X757)|(in @ X760 @ X758)))&(~(in @ (esk52_2 @ X757 @ X758) @ X758)|(~(in @ X760 @ X757)|(in @ X760 @ X758))))&((((X761)!=(X762))|(~(in @ X763 @ X762)|(in @ X763 @ X761)))&((((X764)!=(X765))|(~(in @ X766 @ X764)|(in @ X766 @ X765)))&((~(in @ X769 @ esk53_0)|(in @ X769 @ esk54_0))&((in @ esk55_0 @ esk53_0)&~(in @ esk55_0 @ esk54_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])])])])])])).
% 0.23/0.30 thf(c_0_128, negated_conjecture, ~((in @ esk55_0 @ esk54_0)), inference(split_conjunct,[status(thm)],[c_0_127])).
% 0.23/0.30 thf(c_0_129, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk54_0)|~((in @ X2 @ esk53_0)))), inference(split_conjunct,[status(thm)],[c_0_127])).
% 0.23/0.30 thf(c_0_130, negated_conjecture, (in @ esk55_0 @ esk53_0), inference(split_conjunct,[status(thm)],[c_0_127])).
% 0.23/0.30 thf(c_0_131, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_129]), c_0_130])]), ['proof']).
% 0.23/0.30 % SZS output end CNFRefutation
% 0.23/0.30 % Parsed axioms : 175
% 0.23/0.30 % Removed by relevancy pruning/SinE : 0
% 0.23/0.30 % Initial clauses : 285
% 0.23/0.30 % Removed in clause preprocessing : 109
% 0.23/0.30 % Initial clauses in saturation : 176
% 0.23/0.30 % Processed clauses : 21
% 0.23/0.30 % ...of these trivial : 1
% 0.23/0.30 % ...subsumed : 5
% 0.23/0.30 % ...remaining for further processing : 15
% 0.23/0.30 % Other redundant clauses eliminated : 1
% 0.23/0.30 % Clauses deleted for lack of memory : 0
% 0.23/0.30 % Backward-subsumed : 0
% 0.23/0.30 % Backward-rewritten : 1
% 0.23/0.30 % Generated clauses : 2
% 0.23/0.30 % ...of the previous two non-redundant : 1
% 0.23/0.30 % ...aggressively subsumed : 0
% 0.23/0.30 % Contextual simplify-reflections : 0
% 0.23/0.30 % Paramodulations : 1
% 0.23/0.30 % Factorizations : 0
% 0.23/0.30 % NegExts : 0
% 0.23/0.30 % Equation resolutions : 1
% 0.23/0.30 % Disequality decompositions : 0
% 0.23/0.30 % Total rewrite steps : 3
% 0.23/0.30 % ...of those cached : 0
% 0.23/0.30 % Propositional unsat checks : 0
% 0.23/0.30 % Propositional check models : 0
% 0.23/0.30 % Propositional check unsatisfiable : 0
% 0.23/0.30 % Propositional clauses : 0
% 0.23/0.30 % Propositional clauses after purity: 0
% 0.23/0.30 % Propositional unsat core size : 0
% 0.23/0.30 % Propositional preprocessing time : 0.000
% 0.23/0.30 % Propositional encoding time : 0.000
% 0.23/0.30 % Propositional solver time : 0.000
% 0.23/0.30 % Success case prop preproc time : 0.000
% 0.23/0.30 % Success case prop encoding time : 0.000
% 0.23/0.30 % Success case prop solver time : 0.000
% 0.23/0.30 % Current number of processed clauses : 13
% 0.23/0.30 % Positive orientable unit clauses : 9
% 0.23/0.30 % Positive unorientable unit clauses: 0
% 0.23/0.30 % Negative unit clauses : 3
% 0.23/0.30 % Non-unit-clauses : 1
% 0.23/0.30 % Current number of unprocessed clauses: 156
% 0.23/0.30 % ...number of literals in the above : 600
% 0.23/0.30 % Current number of archived formulas : 0
% 0.23/0.30 % Current number of archived clauses : 1
% 0.23/0.30 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.30 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.30 % Non-unit clause-clause subsumptions : 0
% 0.23/0.30 % Unit Clause-clause subsumption calls : 0
% 0.23/0.30 % Rewrite failures with RHS unbound : 0
% 0.23/0.30 % BW rewrite match attempts : 1
% 0.23/0.30 % BW rewrite match successes : 1
% 0.23/0.30 % Condensation attempts : 0
% 0.23/0.30 % Condensation successes : 0
% 0.23/0.30 % Termbank termtop insertions : 24380
% 0.23/0.30 % Search garbage collected termcells : 9459
% 0.23/0.30
% 0.23/0.30 % -------------------------------------------------
% 0.23/0.30 % User time : 0.018 s
% 0.23/0.30 % System time : 0.007 s
% 0.23/0.30 % Total time : 0.025 s
% 0.23/0.30 % Maximum resident set size: 5856 pages
% 0.23/0.30
% 0.23/0.30 % -------------------------------------------------
% 0.23/0.30 % User time : 0.050 s
% 0.23/0.30 % System time : 0.032 s
% 0.23/0.30 % Total time : 0.082 s
% 0.23/0.30 % Maximum resident set size: 5120 pages
% 0.23/0.30 % E exiting
%------------------------------------------------------------------------------