%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU551^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:24:28 AM UTC 2026
% Result : Theorem 0.24s 0.29s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU551^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:51:56 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p
% 0.24/0.29 % Version: 3.5.1-ho
% 0.24/0.29 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.29 % Starting sh5l with 300s (1) cores
% 0.24/0.29 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.29 % Starting new_bool_2 with 300s (1) cores
% 0.24/0.29 % new_bool_1 with pid 102183 completed with status 0
% 0.24/0.29 % Result found by new_bool_1
% 0.24/0.29 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.29 % Starting sh5l with 300s (1) cores
% 0.24/0.29 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.29 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.24/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.29 % SubtermCWHack with pid 102188 completed with status 0
% 0.24/0.29 % Result found by SubtermCWHack
% 0.24/0.29 % Preprocessing class: HSMSSLSSLLLCHFA.
% 0.24/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.29 % Starting sh5l with 300s (1) cores
% 0.24/0.29 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.29 % Search class: HGHSM-FSLM31-SHFMMMBN
% 0.24/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.29 % Preprocessing time : 0.004 s
% 0.24/0.29
% 0.24/0.29 % Proof found!
% 0.24/0.29 % SZS status Theorem
% 0.24/0.29 % SZS output start CNFRefutation
% 0.24/0.29 thf(decl_23, type, in: $i > $i > $o).
% 0.24/0.29 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.24/0.29 thf(decl_25, type, setextAx: $o).
% 0.24/0.29 thf(decl_26, type, emptyset: $i).
% 0.24/0.29 thf(decl_27, type, emptysetAx: $o).
% 0.24/0.29 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.24/0.29 thf(decl_29, type, setadjoinAx: $o).
% 0.24/0.29 thf(decl_30, type, powerset: $i > $i).
% 0.24/0.29 thf(decl_31, type, powersetAx: $o).
% 0.24/0.29 thf(decl_32, type, setunion: $i > $i).
% 0.24/0.29 thf(decl_33, type, setunionAx: $o).
% 0.24/0.29 thf(decl_34, type, omega: $i).
% 0.24/0.29 thf(decl_35, type, omega0Ax: $o).
% 0.24/0.29 thf(decl_36, type, omegaSAx: $o).
% 0.24/0.29 thf(decl_37, type, omegaIndAx: $o).
% 0.24/0.29 thf(decl_38, type, replAx: $o).
% 0.24/0.29 thf(decl_39, type, foundationAx: $o).
% 0.24/0.29 thf(decl_40, type, wellorderingAx: $o).
% 0.24/0.29 thf(decl_42, type, descrp: $o).
% 0.24/0.29 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.24/0.29 thf(decl_44, type, dsetconstrI: $o).
% 0.24/0.29 thf(decl_45, type, dsetconstrEL: $o).
% 0.24/0.29 thf(decl_46, type, dsetconstrER: $o).
% 0.24/0.29 thf(decl_47, type, exuE1: $o).
% 0.24/0.29 thf(decl_48, type, prop2set: $o > $i).
% 0.24/0.29 thf(decl_49, type, prop2setE: $o).
% 0.24/0.29 thf(decl_50, type, emptysetE: $o).
% 0.24/0.29 thf(decl_51, type, emptysetimpfalse: $o).
% 0.24/0.29 thf(decl_52, type, notinemptyset: $o).
% 0.24/0.29 thf(decl_53, type, exuE3e: $o).
% 0.24/0.29 thf(decl_54, type, setext: $o).
% 0.24/0.29 thf(decl_55, type, emptyI: $o).
% 0.24/0.29 thf(decl_56, type, noeltsimpempty: $o).
% 0.24/0.29 thf(decl_57, type, setbeta: $o).
% 0.24/0.29 thf(decl_58, type, nonempty: $i > $o).
% 0.24/0.29 thf(decl_59, type, nonemptyE1: $o).
% 0.24/0.29 thf(decl_60, type, nonemptyI: $o).
% 0.24/0.29 thf(decl_61, type, nonemptyI1: $o).
% 0.24/0.29 thf(decl_62, type, setadjoinIL: $o).
% 0.24/0.29 thf(decl_63, type, emptyinunitempty: $o).
% 0.24/0.29 thf(decl_64, type, setadjoinIR: $o).
% 0.24/0.29 thf(decl_65, type, setadjoinE: $o).
% 0.24/0.29 thf(decl_66, type, setadjoinOr: $o).
% 0.24/0.29 thf(decl_67, type, setoftrueEq: $o).
% 0.24/0.29 thf(decl_68, type, powersetI: $o).
% 0.24/0.29 thf(decl_69, type, emptyinPowerset: $o).
% 0.24/0.29 thf(decl_70, type, emptyInPowerset: $o).
% 0.24/0.29 thf(decl_71, type, powersetE: $o).
% 0.24/0.29 thf(decl_72, type, setunionI: $o).
% 0.24/0.29 thf(decl_73, type, setunionE: $o).
% 0.24/0.29 thf(decl_74, type, subPowSU: $o).
% 0.24/0.29 thf(decl_75, type, exuE2: $o).
% 0.24/0.29 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.24/0.29 thf(decl_77, type, uniqinunit: $o).
% 0.24/0.29 thf(decl_78, type, notinsingleton: $o).
% 0.24/0.29 thf(decl_79, type, eqinunit: $o).
% 0.24/0.29 thf(decl_80, type, singletonsswitch: $o).
% 0.24/0.29 thf(decl_81, type, upairsetE: $o).
% 0.24/0.29 thf(decl_82, type, upairsetIL: $o).
% 0.24/0.29 thf(decl_83, type, upairsetIR: $o).
% 0.24/0.29 thf(decl_84, type, emptyE1: $o).
% 0.24/0.29 thf(decl_85, type, vacuousDall: $o).
% 0.24/0.29 thf(decl_86, type, quantDeMorgan1: $o).
% 0.24/0.29 thf(decl_87, type, quantDeMorgan2: $o).
% 0.24/0.29 thf(decl_88, type, quantDeMorgan3: $o).
% 0.24/0.29 thf(decl_89, type, quantDeMorgan4: $o).
% 0.24/0.29 thf(decl_90, type, prop2setI: $o).
% 0.24/0.29 thf(decl_92, type, prop2set2propI: $o).
% 0.24/0.29 thf(decl_93, type, notdexE: $o).
% 0.24/0.29 thf(decl_94, type, notdallE: $o).
% 0.24/0.29 thf(decl_95, type, exuI1: $o).
% 0.24/0.29 thf(decl_96, type, exuI3: $o).
% 0.24/0.29 thf(decl_97, type, exuI2: $o).
% 0.24/0.29 thf(decl_98, type, inCongP: $o).
% 0.24/0.29 thf(decl_99, type, in__Cong: $o).
% 0.24/0.29 thf(decl_100, type, exuE3u: $o).
% 0.24/0.29 thf(decl_101, type, exu__Cong: $o).
% 0.24/0.29 thf(decl_102, type, epred1_0: $o).
% 0.24/0.29 thf(decl_103, type, esk1_2: $i > $i > $i).
% 0.24/0.29 thf(decl_104, type, esk2_2: $i > $i > $i).
% 0.24/0.29 thf(decl_105, type, esk3_2: $i > $i > $i).
% 0.24/0.29 thf(decl_106, type, esk4_1: $i > $i).
% 0.24/0.29 thf(decl_107, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.24/0.29 thf(decl_108, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.24/0.29 thf(decl_109, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.24/0.29 thf(decl_110, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.24/0.29 thf(decl_111, type, esk9_1: $i > $i).
% 0.24/0.29 thf(decl_112, type, esk10_2: ($i > $o) > $i > $i).
% 0.24/0.29 thf(decl_113, type, esk11_1: ($i > $o) > $i).
% 0.24/0.29 thf(decl_114, type, esk12_2: ($i > $o) > $i > $i).
% 0.24/0.29 thf(decl_115, type, esk13_1: ($i > $o) > $i).
% 0.24/0.29 thf(decl_116, type, esk14_2: $i > $i > $i).
% 0.24/0.29 thf(decl_117, type, esk15_2: $i > $i > $i).
% 0.24/0.29 thf(decl_118, type, esk16_1: $i > $i).
% 0.24/0.29 thf(decl_119, type, esk17_1: $i > $i).
% 0.24/0.29 thf(decl_120, type, esk18_1: $i > $i).
% 0.24/0.29 thf(decl_121, type, esk19_2: $i > $i > $i).
% 0.24/0.29 thf(decl_122, type, esk20_3: $i > $i > $o > $i).
% 0.24/0.29 thf(decl_123, type, esk21_2: ($i > $o) > $i > $i).
% 0.24/0.29 thf(decl_124, type, esk22_1: ($i > $o) > $i).
% 0.24/0.29 thf(decl_125, type, esk23_1: $i > $i).
% 0.24/0.29 thf(decl_126, type, esk24_2: $i > ($i > $o) > $i).
% 0.24/0.29 thf(decl_127, type, esk25_2: $i > ($i > $o) > $i).
% 0.24/0.29 thf(decl_128, type, esk26_2: $i > ($i > $o) > $i).
% 0.24/0.29 thf(decl_129, type, esk27_2: $i > ($i > $o) > $i).
% 0.24/0.29 thf(decl_130, type, esk28_2: $i > ($i > $o) > $i).
% 0.24/0.29 thf(decl_131, type, esk29_2: $i > ($i > $o) > $i).
% 0.24/0.29 thf(decl_132, type, esk30_2: ($i > $o) > $i > $i).
% 0.24/0.29 thf(decl_133, type, esk31_1: ($i > $o) > $i).
% 0.24/0.29 thf(decl_134, type, esk32_1: ($i > $o) > $i).
% 0.24/0.29 thf(decl_135, type, esk33_1: ($i > $o) > $i).
% 0.24/0.29 thf(decl_136, type, esk34_1: ($i > $o) > $i).
% 0.24/0.29 thf(decl_137, type, esk35_2: ($i > $o) > $i > $i).
% 0.24/0.29 thf(decl_138, type, esk36_1: ($i > $o) > $i).
% 0.24/0.29 thf(decl_139, type, esk37_2: ($i > $o) > $i > $i).
% 0.24/0.29 thf(decl_140, type, esk38_2: ($i > $o) > ($i > $o) > $i).
% 0.24/0.29 thf(decl_141, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.24/0.29 thf(decl_142, type, esk40_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.24/0.29 thf(decl_143, type, esk41_2: ($i > $o) > ($i > $o) > $i).
% 0.24/0.29 thf(decl_144, type, esk42_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.24/0.29 thf(decl_145, type, esk43_2: ($i > $o) > ($i > $o) > $i).
% 0.24/0.29 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', exuI1)).
% 0.24/0.29 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', exu)).
% 0.24/0.29 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', exuI3)).
% 0.24/0.29 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', exuI2)).
% 0.24/0.29 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', exuE3u)).
% 0.24/0.29 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', exu__Cong)).
% 0.24/0.29 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', replAx)).
% 0.24/0.29 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', exuE3e)).
% 0.24/0.29 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', exuE1)).
% 0.24/0.29 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', nonempty)).
% 0.24/0.29 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', nonemptyI)).
% 0.24/0.29 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', exuE2)).
% 0.24/0.29 thf(emptyset__Cong, 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)=(emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', emptyset__Cong)).
% 0.24/0.29 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', dsetconstrEL)).
% 0.24/0.29 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', dsetconstrI)).
% 0.24/0.29 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setbeta)).
% 0.24/0.29 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', dsetconstrER)).
% 0.24/0.29 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', nonemptyI1)).
% 0.24/0.29 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', nonemptyE1)).
% 0.24/0.29 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setoftrueEq)).
% 0.24/0.29 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', nonemptyImpWitness)).
% 0.24/0.29 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', emptyE1)).
% 0.24/0.29 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', omegaIndAx)).
% 0.24/0.29 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', quantDeMorgan1)).
% 0.24/0.29 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', vacuousDall)).
% 0.24/0.29 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', upairsetE)).
% 0.24/0.29 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', quantDeMorgan2)).
% 0.24/0.29 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', quantDeMorgan3)).
% 0.24/0.29 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', quantDeMorgan4)).
% 0.24/0.29 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', prop2setI)).
% 0.24/0.29 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', notdexE)).
% 0.24/0.29 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', notdallE)).
% 0.24/0.29 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', inCongP)).
% 0.24/0.29 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', in__Cong)).
% 0.24/0.29 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', omega0Ax)).
% 0.24/0.29 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', wellorderingAx)).
% 0.24/0.29 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', foundationAx)).
% 0.24/0.29 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', noeltsimpempty)).
% 0.24/0.29 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', omegaSAx)).
% 0.24/0.29 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setext)).
% 0.24/0.29 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', notinemptyset)).
% 0.24/0.29 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', emptysetimpfalse)).
% 0.24/0.29 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', emptysetE)).
% 0.24/0.29 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', prop2setE)).
% 0.24/0.29 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', emptyI)).
% 0.24/0.29 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', emptyinunitempty)).
% 0.24/0.29 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setadjoinIL)).
% 0.24/0.29 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setadjoinIR)).
% 0.24/0.29 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', powersetE)).
% 0.24/0.29 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', emptyInPowerset)).
% 0.24/0.29 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', emptyinPowerset)).
% 0.24/0.29 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', powersetI)).
% 0.24/0.29 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setadjoinOr)).
% 0.24/0.29 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setadjoinE)).
% 0.24/0.29 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setunionI)).
% 0.24/0.29 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', eqinunit)).
% 0.24/0.29 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', notinsingleton)).
% 0.24/0.29 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', uniqinunit)).
% 0.24/0.29 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', subPowSU)).
% 0.24/0.29 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setunionE)).
% 0.24/0.29 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', upairsetIL)).
% 0.24/0.29 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', upairsetIR)).
% 0.24/0.29 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', singletonsswitch)).
% 0.24/0.29 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setunionAx)).
% 0.24/0.29 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', powersetAx)).
% 0.24/0.29 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setadjoinAx)).
% 0.24/0.29 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', emptysetAx)).
% 0.24/0.29 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.cZtUXxcAdJ/E---3.1_102152.p', setextAx)).
% 0.24/0.29 thf(c_0_68, 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])).
% 0.24/0.29 thf(c_0_69, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.24/0.29 thf(c_0_70, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.24/0.29 thf(c_0_71, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.24/0.29 thf(c_0_72, 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])).
% 0.24/0.29 thf(c_0_73, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.24/0.29 thf(c_0_74, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.24/0.29 thf(c_0_75, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.24/0.29 thf(c_0_76, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.24/0.29 thf(c_0_77, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.24/0.29 thf(c_0_78, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.24/0.29 thf(c_0_79, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.24/0.29 thf(c_0_80, 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)=(emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[emptyset__Cong])).
% 0.24/0.29 thf(c_0_81, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X215:$i]:(((((X1 @ X215)))&(![X216:$i]:(((((X1 @ X216)))=>(((X215)=(X216)))))))))))))), inference(apply_def,[status(thm)],[c_0_68, c_0_69])).
% 0.24/0.29 thf(c_0_82, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X217:$i]:(((((X1 @ X217)))&(![X218:$i]:(((((X1 @ X218)))=>(((X217)=(X218)))))))))))))))), inference(apply_def,[status(thm)],[c_0_70, c_0_69])).
% 0.24/0.29 thf(c_0_83, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X219:$i]:(((((X1 @ X219)))&(![X220:$i]:(((((X1 @ X220)))=>(((X219)=(X220)))))))))))))), inference(apply_def,[status(thm)],[c_0_71, c_0_69])).
% 0.24/0.29 thf(c_0_84, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X221:$i]:(((((X1 @ X221)))&(![X222:$i]:(((((X1 @ X222)))=>(((X221)=(X222))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_72, c_0_69])).
% 0.24/0.29 thf(c_0_85, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.24/0.29 thf(c_0_86, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X223:$i]:(((((X1 @ X223)))&(![X224:$i]:(((((X1 @ X224)))=>(((X223)=(X224))))))))))<=>((?[X225:$i]:(((((X17 @ X225)))&(![X226:$i]:(((((X17 @ X226)))=>(((X225)=(X226)))))))))))))))), inference(apply_def,[status(thm)],[c_0_73, c_0_69])).
% 0.24/0.29 thf(c_0_87, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.24/0.29 thf(c_0_88, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X207:$i]:(((((X6 @ X2 @ X207)))&(![X208:$i]:(((((X6 @ X2 @ X208)))=>(((X207)=(X208)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_74, c_0_69])).
% 0.24/0.29 thf(c_0_89, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.24/0.29 thf(c_0_90, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.24/0.29 thf(c_0_91, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X211:$i]:(((((X1 @ X211)))&(![X212:$i]:(((((X1 @ X212)))=>(((X211)=(X212))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_75, c_0_69])).
% 0.24/0.29 thf(c_0_92, plain, ((exuE1)=(![X1:$i > $o]:((((?[X209:$i]:(((((X1 @ X209)))&(![X210:$i]:(((((X1 @ X210)))=>(((X209)=(X210))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_76, c_0_69])).
% 0.24/0.29 thf(c_0_93, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_77])).
% 0.24/0.29 thf(c_0_94, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_78, c_0_77])).
% 0.24/0.29 thf(c_0_95, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_77])).
% 0.24/0.29 thf(c_0_96, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.24/0.29 thf(c_0_97, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_77])).
% 0.24/0.29 thf(c_0_98, plain, ((exuE2)=(![X1:$i > $o]:((((?[X213:$i]:(((((X1 @ X213)))&(![X214:$i]:(((((X1 @ X214)))=>(((X213)=(X214))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_79, c_0_69])).
% 0.24/0.29 thf(c_0_99, plain, ((emptyE1)<=>![X4:$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])).
% 0.24/0.29 thf(c_0_100, plain, ((epred1_0)<=>![X256:$i]:(?[X257:$i]:((((![X258:$i]:(((in @ X258 @ X257)=>![X259:$i]:(((in @ X259 @ X258)=>(in @ X259 @ X256)))))&![X260:$i, X261:$i]:((((in @ X260 @ X256)&(in @ X261 @ X256))=>(![X262:$i]:(((in @ X262 @ X257)=>((in @ X260 @ X262)<=>(in @ X261 @ X262))))=>((X260)=(X261))))))&![X263:$i, X264:$i]:((((in @ X263 @ X257)&(in @ X264 @ X257))=>(![X265:$i]:(((in @ X265 @ X263)=>(in @ X265 @ X264)))|![X266:$i]:(((in @ X266 @ X264)=>(in @ X266 @ X263)))))))&![X267:$i]:(((![X268:$i]:(((in @ X268 @ X267)=>(in @ X268 @ X256)))&?[X269:$i]:((in @ X269 @ X267)))=>?[X270:$i, X271:$i]:(((((in @ X270 @ X257)&(in @ X271 @ X267))&~(?[X272:$i]:(((in @ X272 @ X270)&(in @ X272 @ X267)))))&![X273:$i]:(((in @ X273 @ X257)=>(![X274:$i]:(((in @ X274 @ X273)=>(in @ X274 @ X270)))|(in @ X271 @ X273)))))))))))), introduced(definition)).
% 0.24/0.29 thf(c_0_101, negated_conjecture, ~((![X227:$i, X228:$i]:((![X229:$i]:(((in @ X229 @ X227)<=>(in @ X229 @ X228)))=>((X227)=(X228))))=>(![X230:$i]:(~(in @ X230 @ emptyset))=>(![X231:$i, X232:$i, X233:$i]:(((in @ X233 @ (setadjoin @ X231 @ X232))<=>(((X233)=(X231))|(in @ X233 @ X232))))=>(![X234:$i, X235:$i]:(((in @ X235 @ (powerset @ X234))<=>![X236:$i]:(((in @ X236 @ X235)=>(in @ X236 @ X234)))))=>(![X237:$i, X238:$i]:(((in @ X238 @ (setunion @ X237))<=>?[X239:$i]:(((in @ X238 @ X239)&(in @ X239 @ X237)))))=>((in @ emptyset @ omega)=>(![X240:$i]:(((in @ X240 @ omega)=>(in @ (setadjoin @ X240 @ X240) @ omega)))=>(![X241:$i]:((((in @ emptyset @ X241)&![X242:$i]:((((in @ X242 @ omega)&(in @ X242 @ X241))=>(in @ (setadjoin @ X242 @ X242) @ X241))))=>![X243:$i]:(((in @ X243 @ omega)=>(in @ X243 @ X241)))))=>(![X244:$i > $i > $o, X245:$i]:((![X246:$i]:(((in @ X246 @ X245)=>?[X247:$i]:(((X244 @ X246 @ X247)&![X248:$i]:(((X244 @ X246 @ X248)=>((X247)=(X248))))))))=>?[X249:$i]:(![X250:$i]:(((in @ X250 @ X249)<=>?[X251:$i]:(((in @ X251 @ X245)&(X244 @ X251 @ X250))))))))=>(![X252:$i]:((?[X253:$i]:((in @ X253 @ X252))=>?[X254:$i]:(((in @ X254 @ X252)&~(?[X255:$i]:(((in @ X255 @ X254)&(in @ X255 @ X252))))))))=>((epred1_0)=>((descrp)=>(![X275:$i, X276:$i > $o, X277:$i]:(((in @ X277 @ X275)=>((X276 @ X277)=>(in @ X277 @ (dsetconstr @ X275 @ X276)))))=>(![X278:$i, X279:$i > $o, X280:$i]:(((in @ X280 @ (dsetconstr @ X278 @ X279))=>(in @ X280 @ X278)))=>(![X281:$i, X282:$i > $o, X283:$i]:(((in @ X283 @ (dsetconstr @ X281 @ X282))=>(X282 @ X283)))=>(![X284:$i > $o]:((?[X285:$i]:(((X284 @ X285)&![X286:$i]:(((X284 @ X286)=>((X285)=(X286))))))=>?[X287:$i]:(((X284 @ X287)&![X288:$i]:(((X284 @ X288)=>((X287)=(X288))))))))=>(![X289:$o, X290:$i]:(((in @ X290 @ (prop2set @ ((X289))))=>(X289)))=>(![X291:$i]:(((in @ X291 @ emptyset)=>![X292:$o]:((X292))))=>(![X293:$i]:(((in @ X293 @ emptyset)=>~($true)))=>(![X294:$i]:(~(in @ X294 @ emptyset))=>(![X295:$i > $o]:((?[X296:$i]:(((X295 @ X296)&![X297:$i]:(((X295 @ X297)=>((X296)=(X297))))))=>?[X298:$i]:((X295 @ X298))))=>(![X299:$i, X300:$i]:((![X301:$i]:(((in @ X301 @ X299)=>(in @ X301 @ X300)))=>(![X302:$i]:(((in @ X302 @ X300)=>(in @ X302 @ X299)))=>((X299)=(X300)))))=>(![X303:$i]:((![X304:$i]:(~(in @ X304 @ X303))=>((X303)=(emptyset))))=>(![X305:$i]:((![X306:$i]:(~(in @ X306 @ X305))=>((X305)=(emptyset))))=>(![X307:$i, X308:$i > $o, X309:$i]:(((in @ X309 @ X307)=>((in @ X309 @ (dsetconstr @ X307 @ X308))<=>(X308 @ X309))))=>(![X310:$i]:((((X310)!=(emptyset))=>?[X311:$i]:((in @ X311 @ X310))))=>(![X312:$i, X313:$i > $o, X314:$i]:(((in @ X314 @ X312)=>((X313 @ X314)=>((dsetconstr @ X312 @ X313)!=(emptyset)))))=>(![X315:$i]:((?[X316:$i]:((in @ X316 @ X315))=>((X315)!=(emptyset))))=>(![X317:$i, X318:$i]:((in @ X317 @ (setadjoin @ X317 @ X318)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X319:$i, X320:$i, X321:$i]:(((in @ X321 @ X320)=>(in @ X321 @ (setadjoin @ X319 @ X320))))=>(![X322:$i, X323:$i, X324:$i]:(((in @ X324 @ (setadjoin @ X322 @ X323))=>![X325:$o]:(((((X324)=(X322))=>(X325))=>(((in @ X324 @ X323)=>(X325))=>(X325))))))=>(![X326:$i, X327:$i, X328:$i]:(((in @ X328 @ (setadjoin @ X326 @ X327))=>(((X328)=(X326))|(in @ X328 @ X327))))=>(![X329:$i]:(((dsetconstr @ X329 @ (^[Z0:$i]:($true)))=(X329)))=>(![X330:$i, X331:$i]:((![X332:$i]:(((in @ X332 @ X331)=>(in @ X332 @ X330)))=>(in @ X331 @ (powerset @ X330))))=>(![X333:$i]:((in @ emptyset @ (powerset @ X333)))=>(![X334:$i]:((in @ emptyset @ (powerset @ X334)))=>(![X335:$i, X336:$i, X337:$i]:(((in @ X336 @ (powerset @ X335))=>((in @ X337 @ X336)=>(in @ X337 @ X335))))=>(![X338:$i, X339:$i, X340:$i]:(((in @ X339 @ X340)=>((in @ X340 @ X338)=>(in @ X339 @ (setunion @ X338)))))=>(![X341:$i, X342:$i]:(((in @ X342 @ (setunion @ X341))=>![X343:$o]:((![X344:$i]:(((in @ X342 @ X344)=>((in @ X344 @ X341)=>(X343))))=>(X343)))))=>(![X345:$i, X346:$i]:(((in @ X346 @ X345)=>(in @ X346 @ (powerset @ (setunion @ X345)))))=>(![X347:$i > $o]:((?[X348:$i]:(((X347 @ X348)&![X349:$i]:(((X347 @ X349)=>((X348)=(X349))))))=>?[X350:$i]:(![X351:$i]:(((X347 @ X351)<=>((X351)=(X350)))))))=>(![X352:$i]:((((X352)!=(emptyset))=>?[X353:$i]:(((in @ X353 @ X352)&$true))))=>(![X354:$i, X355:$i]:(((in @ X354 @ (setadjoin @ X355 @ emptyset))=>((X354)=(X355))))=>(![X356:$i, X357:$i]:((((X356)!=(X357))=>~(in @ X357 @ (setadjoin @ X356 @ emptyset))))=>(![X358:$i, X359:$i]:((((X358)=(X359))=>(in @ X358 @ (setadjoin @ X359 @ emptyset))))=>(![X360:$i, X361:$i]:(((in @ X360 @ (setadjoin @ X361 @ emptyset))=>(in @ X361 @ (setadjoin @ X360 @ emptyset))))=>(![X362:$i, X363:$i, X364:$i]:(((in @ X364 @ (setadjoin @ X362 @ (setadjoin @ X363 @ emptyset)))=>(((X364)=(X362))|((X364)=(X363)))))=>(![X365:$i, X366:$i]:((in @ X365 @ (setadjoin @ X365 @ (setadjoin @ X366 @ emptyset))))=>(![X367:$i, X368:$i]:((in @ X368 @ (setadjoin @ X367 @ (setadjoin @ X368 @ emptyset))))=>(![X369:$i, X370:$i > $o]:((?[X371:$i]:(((in @ X371 @ X369)&(X370 @ X371)))=>(((dsetconstr @ X369 @ X370)=(emptyset))=>~($true))))=>(![X372:$i > $o, X373:$i]:(((in @ X373 @ emptyset)=>(X372 @ X373)))=>(![X374:$i, X375:$i > $o]:((~(![X376:$i]:(((in @ X376 @ X374)=>(X375 @ X376))))=>?[X377:$i]:(((in @ X377 @ X374)&~((X375 @ X377))))))=>(![X378:$i, X379:$i > $o]:((![X380:$i]:(((in @ X380 @ X378)=>~((X379 @ X380))))=>~(?[X381:$i]:(((in @ X381 @ X378)&(X379 @ X381))))))=>(![X382:$i, X383:$i > $o]:((~(?[X384:$i]:(((in @ X384 @ X382)&(X383 @ X384))))=>![X385:$i]:(((in @ X385 @ X382)=>~((X383 @ X385))))))=>(![X386:$i, X387:$i > $o]:((?[X388:$i]:(((in @ X388 @ X386)&~((X387 @ X388))))=>~(![X389:$i]:(((in @ X389 @ X386)=>(X387 @ X389))))))=>(![X390:$o]:(((X390)=>(in @ emptyset @ (prop2set @ ((X390))))))=>((prop2set2propI)=>(![X391:$i, X392:$i > $o]:((~(?[X393:$i]:(((in @ X393 @ X391)&(X392 @ X393))))=>![X394:$i]:(((in @ X394 @ X391)=>~((X392 @ X394))))))=>(![X395:$i, X396:$i > $o]:((~(![X397:$i]:(((in @ X397 @ X395)=>(X396 @ X397))))=>?[X398:$i]:(((in @ X398 @ X395)&~((X396 @ X398))))))=>(![X399:$i > $o]:((?[X400:$i]:(((X399 @ X400)&![X401:$i]:(((X399 @ X401)=>((X400)=(X401))))))=>?[X402:$i]:(((X399 @ X402)&![X403:$i]:(((X399 @ X403)=>((X402)=(X403))))))))=>(![X404:$i > $o]:((?[X405:$i]:((X404 @ X405))=>(![X406:$i, X407:$i]:(((X404 @ X406)=>((X404 @ X407)=>((X406)=(X407)))))=>?[X408:$i]:(((X404 @ X408)&![X409:$i]:(((X404 @ X409)=>((X408)=(X409)))))))))=>(![X410:$i > $o]:((?[X411:$i]:(![X412:$i]:(((X410 @ X412)<=>((X412)=(X411)))))=>?[X413:$i]:(((X410 @ X413)&![X414:$i]:(((X410 @ X414)=>((X413)=(X414))))))))=>(![X415:$i, X416:$i]:((((X415)=(X416))=>![X417:$i, X418:$i]:((((X417)=(X418))=>((in @ X417 @ X415)=>(in @ X418 @ X416))))))=>(![X419:$i, X420:$i]:((((X419)=(X420))=>![X421:$i, X422:$i]:((((X421)=(X422))=>((in @ X421 @ X419)<=>(in @ X422 @ X420))))))=>(![X423:$i > $o]:((?[X424:$i]:(((X423 @ X424)&![X425:$i]:(((X423 @ X425)=>((X424)=(X425))))))=>![X426:$i, X427:$i]:(((X423 @ X426)=>((X423 @ X427)=>((X426)=(X427)))))))=>(![X428:$i > $o, X429:$i > $o]:((![X430:$i, X431:$i]:((((X430)=(X431))=>((X428 @ X430)<=>(X429 @ X431))))=>(?[X432:$i]:(((X428 @ X432)&![X433:$i]:(((X428 @ X433)=>((X432)=(X433))))))<=>?[X434:$i]:(((X429 @ X434)&![X435:$i]:(((X429 @ X435)=>((X434)=(X435)))))))))=>((emptyset)=(emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_80, omegaIndAx]), quantDeMorgan1]), vacuousDall]), upairsetE]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), notdexE]), notdallE]), c_0_81]), c_0_82]), c_0_83]), inCongP]), in__Cong]), c_0_84]), c_0_85]), c_0_86]), omega0Ax]), c_0_87]), wellorderingAx]), foundationAx]), c_0_88]), c_0_89]), noeltsimpempty]), omegaSAx]), c_0_90]), setext]), c_0_91]), notinemptyset]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_92]), emptyI]), emptyinunitempty]), setadjoinIL]), c_0_93]), c_0_94]), c_0_95]), setadjoinIR]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), c_0_96]), setadjoinOr]), setadjoinE]), setunionI]), eqinunit]), notinsingleton]), uniqinunit]), c_0_97]), c_0_98]), subPowSU]), setunionE]), upairsetIL]), upairsetIR]), c_0_99]), singletonsswitch]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_100])).
% 0.24/0.29 thf(c_0_102, negated_conjecture, ![X436:$i, X437:$i, X439:$i, X440:$i, X441:$i, X442:$i, X443:$i, X444:$i, X445:$i, X446:$i, X447:$i, X449:$i, X450:$i, X452:$i, X453:$i, X454:$i, X455:$i, X456:$i, X458:$i, X459:$i > $i > $o, X460:$i, X462:$i, X465:$i, X467:$i, X468:$i, X469:$i, X470:$i, X472:$i, X473:$i, X474:$i > $o, X475:$i, X476:$i, X477:$i > $o, X478:$i, X479:$i, X480:$i > $o, X481:$i, X482:$i > $o, X483:$i, X486:$i, X487:$o, X488:$i, X489:$i, X490:$o, X491:$i, X492:$i, X493:$i > $o, X494:$i, X497:$i, X498:$i, X501:$i, X503:$i, X505:$i, X506:$i > $o, X507:$i, X508:$i, X510:$i, X511:$i > $o, X512:$i, X513:$i, X514:$i, X515:$i, X516:$i, X517:$i, X518:$i, X519:$i, X520:$i, X521:$i, X522:$i, X523:$o, X524:$i, X525:$i, X526:$i, X527:$i, X528:$i, X529:$i, X531:$i, X532:$i, X533:$i, X534:$i, X535:$i, X536:$i, X537:$i, X538:$i, X539:$i, X540:$i, X541:$o, X543:$i, X544:$i, X545:$i > $o, X546:$i, X549:$i, X550:$i, X551:$i, X553:$i, X554:$i, X555:$i, X556:$i, X557:$i, X558:$i, X559:$i, X560:$i, X561:$i, X562:$i, X563:$i, X564:$i, X565:$i, X566:$i, X567:$i, X568:$i, X569:$i > $o, X570:$i, X571:$i > $o, X572:$i, X573:$i, X574:$i > $o, X575:$i, X577:$i, X578:$i > $o, X580:$i, X581:$i, X582:$i > $o, X584:$i, X585:$i, X586:$i > $o, X587:$i, X589:$o, X590:$i, X591:$i > $o, X593:$i, X594:$i, X595:$i > $o, X596:$i, X598:$i > $o, X599:$i, X602:$i, X603:$i > $o, X604:$i, X608:$i, X609:$i > $o, X610:$i, X613:$i, X614:$i, X615:$i, X616:$i, X617:$i, X618:$i, X619:$i, X620:$i, X621:$i, X622:$i > $o, X623:$i, X625:$i, X626:$i, X627:$i > $o, X628:$i > $o, X631:$i, X634:$i, X635:$i, X638:$i]:((((~(in @ (esk1_2 @ X436 @ X437) @ X436)|~(in @ (esk1_2 @ X436 @ X437) @ X437)|((X436)=(X437)))&((in @ (esk1_2 @ X436 @ X437) @ X436)|(in @ (esk1_2 @ X436 @ X437) @ X437)|((X436)=(X437))))&(~(in @ X439 @ emptyset)&(((~(in @ X442 @ (setadjoin @ X440 @ X441))|(((X442)=(X440))|(in @ X442 @ X441)))&((((X442)!=(X440))|(in @ X442 @ (setadjoin @ X440 @ X441)))&(~(in @ X442 @ X441)|(in @ X442 @ (setadjoin @ X440 @ X441)))))&(((~(in @ X444 @ (powerset @ X443))|(~(in @ X445 @ X444)|(in @ X445 @ X443)))&(((in @ (esk2_2 @ X446 @ X447) @ X447)|(in @ X447 @ (powerset @ X446)))&(~(in @ (esk2_2 @ X446 @ X447) @ X446)|(in @ X447 @ (powerset @ X446)))))&(((((in @ X450 @ (esk3_2 @ X449 @ X450))|~(in @ X450 @ (setunion @ X449)))&((in @ (esk3_2 @ X449 @ X450) @ X449)|~(in @ X450 @ (setunion @ X449))))&(~(in @ X453 @ X454)|~(in @ X454 @ X452)|(in @ X453 @ (setunion @ X452))))&((in @ emptyset @ omega)&((~(in @ X455 @ omega)|(in @ (setadjoin @ X455 @ X455) @ omega))&(((((in @ (esk4_1 @ X456) @ omega)|~(in @ emptyset @ X456)|(~(in @ X458 @ omega)|(in @ X458 @ X456)))&((in @ (esk4_1 @ X456) @ X456)|~(in @ emptyset @ X456)|(~(in @ X458 @ omega)|(in @ X458 @ X456))))&(~(in @ (setadjoin @ (esk4_1 @ X456) @ (esk4_1 @ X456)) @ X456)|~(in @ emptyset @ X456)|(~(in @ X458 @ omega)|(in @ X458 @ X456))))&((((((in @ (esk8_3 @ X459 @ X460 @ X465) @ X460)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|(in @ (esk5_2 @ X459 @ X460) @ X460))&((X459 @ (esk8_3 @ X459 @ X460 @ X465) @ X465)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|(in @ (esk5_2 @ X459 @ X460) @ X460)))&(~(in @ X468 @ X460)|~(X459 @ X468 @ X467)|(in @ X467 @ (esk7_2 @ X459 @ X460))|(in @ (esk5_2 @ X459 @ X460) @ X460)))&(((((in @ (esk8_3 @ X459 @ X460 @ X465) @ X460)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|((X459 @ (esk5_2 @ X459 @ X460) @ (esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462)))&((X459 @ (esk8_3 @ X459 @ X460 @ X465) @ X465)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|((X459 @ (esk5_2 @ X459 @ X460) @ (esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462))))&(~(in @ X468 @ X460)|~(X459 @ X468 @ X467)|(in @ X467 @ (esk7_2 @ X459 @ X460))|((X459 @ (esk5_2 @ X459 @ X460) @ (esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462))))&((((in @ (esk8_3 @ X459 @ X460 @ X465) @ X460)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|(((X462)!=(esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462)))&((X459 @ (esk8_3 @ X459 @ X460 @ X465) @ X465)|~(in @ X465 @ (esk7_2 @ X459 @ X460))|(((X462)!=(esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462))))&(~(in @ X468 @ X460)|~(X459 @ X468 @ X467)|(in @ X467 @ (esk7_2 @ X459 @ X460))|(((X462)!=(esk6_3 @ X459 @ X460 @ X462))|~(X459 @ (esk5_2 @ X459 @ X460) @ X462))))))&((((in @ (esk9_1 @ X469) @ X469)|~(in @ X470 @ X469))&(~(in @ X472 @ (esk9_1 @ X469))|~(in @ X472 @ X469)|~(in @ X470 @ X469)))&((epred1_0)&((descrp)&((~(in @ X475 @ X473)|(~(X474 @ X475)|(in @ X475 @ (dsetconstr @ X473 @ X474))))&((~(in @ X478 @ (dsetconstr @ X476 @ X477))|(in @ X478 @ X476))&((~(in @ X481 @ (dsetconstr @ X479 @ X480))|(X480 @ X481))&(((((X482 @ (esk11_1 @ X482))|((X482 @ (esk10_2 @ X482 @ X483))|~(X482 @ X483)))&(~(X482 @ X486)|((esk11_1 @ X482)=(X486))|((X482 @ (esk10_2 @ X482 @ X483))|~(X482 @ X483))))&(((X482 @ (esk11_1 @ X482))|(((X483)!=(esk10_2 @ X482 @ X483))|~(X482 @ X483)))&(~(X482 @ X486)|((esk11_1 @ X482)=(X486))|(((X483)!=(esk10_2 @ X482 @ X483))|~(X482 @ X483)))))&((~(in @ X488 @ (prop2set @ ((X487))))|(X487))&((~(in @ X489 @ emptyset)|(X490))&((~(in @ X491 @ emptyset)|~($true))&(~(in @ X492 @ emptyset)&((((X493 @ (esk12_2 @ X493 @ X494))|~(X493 @ X494)|(X493 @ (esk13_1 @ X493)))&(((X494)!=(esk12_2 @ X493 @ X494))|~(X493 @ X494)|(X493 @ (esk13_1 @ X493))))&(((((in @ (esk15_2 @ X497 @ X498) @ X498)|((X497)=(X498))|(in @ (esk14_2 @ X497 @ X498) @ X497))&(~(in @ (esk15_2 @ X497 @ X498) @ X497)|((X497)=(X498))|(in @ (esk14_2 @ X497 @ X498) @ X497)))&(((in @ (esk15_2 @ X497 @ X498) @ X498)|((X497)=(X498))|~(in @ (esk14_2 @ X497 @ X498) @ X498))&(~(in @ (esk15_2 @ X497 @ X498) @ X497)|((X497)=(X498))|~(in @ (esk14_2 @ X497 @ X498) @ X498))))&(((in @ (esk16_1 @ X501) @ X501)|((X501)=(emptyset)))&(((in @ (esk17_1 @ X503) @ X503)|((X503)=(emptyset)))&(((~(in @ X507 @ (dsetconstr @ X505 @ X506))|(X506 @ X507)|~(in @ X507 @ X505))&(~(X506 @ X507)|(in @ X507 @ (dsetconstr @ X505 @ X506))|~(in @ X507 @ X505)))&((((X508)=(emptyset))|(in @ (esk18_1 @ X508) @ X508))&((~(in @ X512 @ X510)|(~(X511 @ X512)|((dsetconstr @ X510 @ X511)!=(emptyset))))&((~(in @ X514 @ X513)|((X513)!=(emptyset)))&((in @ X515 @ (setadjoin @ X515 @ X516))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X519 @ X518)|(in @ X519 @ (setadjoin @ X517 @ X518)))&(((((in @ X522 @ X521)|(X523)|((X522)=(X520))|~(in @ X522 @ (setadjoin @ X520 @ X521)))&(~(X523)|(X523)|((X522)=(X520))|~(in @ X522 @ (setadjoin @ X520 @ X521))))&(((in @ X522 @ X521)|(X523)|~(X523)|~(in @ X522 @ (setadjoin @ X520 @ X521)))&(~(X523)|(X523)|~(X523)|~(in @ X522 @ (setadjoin @ X520 @ X521)))))&((~(in @ X526 @ (setadjoin @ X524 @ X525))|(((X526)=(X524))|(in @ X526 @ X525)))&(((dsetconstr @ X527 @ (^[Z0:$i]:($true)))=(X527))&((((in @ (esk19_2 @ X528 @ X529) @ X529)|(in @ X529 @ (powerset @ X528)))&(~(in @ (esk19_2 @ X528 @ X529) @ X528)|(in @ X529 @ (powerset @ X528))))&((in @ emptyset @ (powerset @ X531))&((in @ emptyset @ (powerset @ X532))&((~(in @ X534 @ (powerset @ X533))|(~(in @ X535 @ X534)|(in @ X535 @ X533)))&((~(in @ X537 @ X538)|(~(in @ X538 @ X536)|(in @ X537 @ (setunion @ X536))))&((((in @ X540 @ (esk20_3 @ X539 @ X540 @ X541))|(X541)|~(in @ X540 @ (setunion @ X539)))&(((in @ (esk20_3 @ X539 @ X540 @ X541) @ X539)|(X541)|~(in @ X540 @ (setunion @ X539)))&(~(X541)|(X541)|~(in @ X540 @ (setunion @ X539)))))&((~(in @ X544 @ X543)|(in @ X544 @ (powerset @ (setunion @ X543))))&((((~(X545 @ X549)|((X549)=(esk22_1 @ X545))|((X545 @ (esk21_2 @ X545 @ X546))|~(X545 @ X546)))&(((X550)!=(esk22_1 @ X545))|(X545 @ X550)|((X545 @ (esk21_2 @ X545 @ X546))|~(X545 @ X546))))&((~(X545 @ X549)|((X549)=(esk22_1 @ X545))|(((X546)!=(esk21_2 @ X545 @ X546))|~(X545 @ X546)))&(((X550)!=(esk22_1 @ X545))|(X545 @ X550)|(((X546)!=(esk21_2 @ X545 @ X546))|~(X545 @ X546)))))&((((in @ (esk23_1 @ X551) @ X551)|((X551)=(emptyset)))&(($true)|((X551)=(emptyset))))&((~(in @ X553 @ (setadjoin @ X554 @ emptyset))|((X553)=(X554)))&((((X555)=(X556))|~(in @ X556 @ (setadjoin @ X555 @ emptyset)))&((((X557)!=(X558))|(in @ X557 @ (setadjoin @ X558 @ emptyset)))&((~(in @ X559 @ (setadjoin @ X560 @ emptyset))|(in @ X560 @ (setadjoin @ X559 @ emptyset)))&((~(in @ X563 @ (setadjoin @ X561 @ (setadjoin @ X562 @ emptyset)))|(((X563)=(X561))|((X563)=(X562))))&((in @ X564 @ (setadjoin @ X564 @ (setadjoin @ X565 @ emptyset)))&((in @ X567 @ (setadjoin @ X566 @ (setadjoin @ X567 @ emptyset)))&((~(in @ X570 @ X568)|~(X569 @ X570)|(((dsetconstr @ X568 @ X569)!=(emptyset))|~($true)))&((~(in @ X572 @ emptyset)|(X571 @ X572))&((((in @ (esk24_2 @ X573 @ X574) @ X573)|(~(in @ X575 @ X573)|(X574 @ X575)))&(~(X574 @ (esk24_2 @ X573 @ X574))|(~(in @ X575 @ X573)|(X574 @ X575))))&((((in @ (esk25_2 @ X577 @ X578) @ X577)|(~(in @ X580 @ X577)|~(X578 @ X580)))&((X578 @ (esk25_2 @ X577 @ X578))|(~(in @ X580 @ X577)|~(X578 @ X580))))&((((in @ (esk26_2 @ X581 @ X582) @ X581)|(~(in @ X584 @ X581)|~(X582 @ X584)))&((X582 @ (esk26_2 @ X581 @ X582))|(~(in @ X584 @ X581)|~(X582 @ X584))))&((((in @ (esk27_2 @ X585 @ X586) @ X585)|(~(in @ X587 @ X585)|(X586 @ X587)))&(~(X586 @ (esk27_2 @ X585 @ X586))|(~(in @ X587 @ X585)|(X586 @ X587))))&((~(X589)|(in @ emptyset @ (prop2set @ ((X589)))))&((prop2set2propI)&((((in @ (esk28_2 @ X590 @ X591) @ X590)|(~(in @ X593 @ X590)|~(X591 @ X593)))&((X591 @ (esk28_2 @ X590 @ X591))|(~(in @ X593 @ X590)|~(X591 @ X593))))&((((in @ (esk29_2 @ X594 @ X595) @ X594)|(~(in @ X596 @ X594)|(X595 @ X596)))&(~(X595 @ (esk29_2 @ X594 @ X595))|(~(in @ X596 @ X594)|(X595 @ X596))))&(((((X598 @ (esk31_1 @ X598))|((X598 @ (esk30_2 @ X598 @ X599))|~(X598 @ X599)))&(~(X598 @ X602)|((esk31_1 @ X598)=(X602))|((X598 @ (esk30_2 @ X598 @ X599))|~(X598 @ X599))))&(((X598 @ (esk31_1 @ X598))|(((X599)!=(esk30_2 @ X598 @ X599))|~(X598 @ X599)))&(~(X598 @ X602)|((esk31_1 @ X598)=(X602))|(((X599)!=(esk30_2 @ X598 @ X599))|~(X598 @ X599)))))&(((((X603 @ (esk34_1 @ X603))|(X603 @ (esk32_1 @ X603))|~(X603 @ X604))&(~(X603 @ X608)|((esk34_1 @ X603)=(X608))|(X603 @ (esk32_1 @ X603))|~(X603 @ X604)))&((((X603 @ (esk34_1 @ X603))|(X603 @ (esk33_1 @ X603))|~(X603 @ X604))&(~(X603 @ X608)|((esk34_1 @ X603)=(X608))|(X603 @ (esk33_1 @ X603))|~(X603 @ X604)))&(((X603 @ (esk34_1 @ X603))|((esk32_1 @ X603)!=(esk33_1 @ X603))|~(X603 @ X604))&(~(X603 @ X608)|((esk34_1 @ X603)=(X608))|((esk32_1 @ X603)!=(esk33_1 @ X603))|~(X603 @ X604)))))&(((((X609 @ (esk36_1 @ X609))|(~(X609 @ (esk35_2 @ X609 @ X610))|((esk35_2 @ X609 @ X610)!=(X610))))&(~(X609 @ X613)|((esk36_1 @ X609)=(X613))|(~(X609 @ (esk35_2 @ X609 @ X610))|((esk35_2 @ X609 @ X610)!=(X610)))))&(((X609 @ (esk36_1 @ X609))|((X609 @ (esk35_2 @ X609 @ X610))|((esk35_2 @ X609 @ X610)=(X610))))&(~(X609 @ X613)|((esk36_1 @ X609)=(X613))|((X609 @ (esk35_2 @ X609 @ X610))|((esk35_2 @ X609 @ X610)=(X610))))))&((((X614)!=(X615))|(((X616)!=(X617))|(~(in @ X616 @ X614)|(in @ X617 @ X615))))&(((~(in @ X620 @ X618)|(in @ X621 @ X619)|((X620)!=(X621))|((X618)!=(X619)))&(~(in @ X621 @ X619)|(in @ X620 @ X618)|((X620)!=(X621))|((X618)!=(X619))))&((((X622 @ (esk37_2 @ X622 @ X623))|~(X622 @ X623)|(~(X622 @ X625)|(~(X622 @ X626)|((X625)=(X626)))))&(((X623)!=(esk37_2 @ X622 @ X623))|~(X622 @ X623)|(~(X622 @ X625)|(~(X622 @ X626)|((X625)=(X626))))))&(((((((X628 @ (esk41_2 @ X627 @ X628))|((X627 @ (esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|((esk38_2 @ X627 @ X628)=(esk39_2 @ X627 @ X628)))&(~(X628 @ X634)|((esk41_2 @ X627 @ X628)=(X634))|((X627 @ (esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|((esk38_2 @ X627 @ X628)=(esk39_2 @ X627 @ X628))))&(((X628 @ (esk41_2 @ X627 @ X628))|(((X631)!=(esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|((esk38_2 @ X627 @ X628)=(esk39_2 @ X627 @ X628)))&(~(X628 @ X634)|((esk41_2 @ X627 @ X628)=(X634))|(((X631)!=(esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|((esk38_2 @ X627 @ X628)=(esk39_2 @ X627 @ X628)))))&((((X627 @ (esk43_2 @ X627 @ X628))|((X628 @ (esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|((esk38_2 @ X627 @ X628)=(esk39_2 @ X627 @ X628)))&(~(X627 @ X638)|((esk43_2 @ X627 @ X628)=(X638))|((X628 @ (esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|((esk38_2 @ X627 @ X628)=(esk39_2 @ X627 @ X628))))&(((X627 @ (esk43_2 @ X627 @ X628))|(((X635)!=(esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|((esk38_2 @ X627 @ X628)=(esk39_2 @ X627 @ X628)))&(~(X627 @ X638)|((esk43_2 @ X627 @ X628)=(X638))|(((X635)!=(esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|((esk38_2 @ X627 @ X628)=(esk39_2 @ X627 @ X628))))))&((((((X628 @ (esk41_2 @ X627 @ X628))|((X627 @ (esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|(~(X627 @ (esk38_2 @ X627 @ X628))|~(X628 @ (esk39_2 @ X627 @ X628))))&(~(X628 @ X634)|((esk41_2 @ X627 @ X628)=(X634))|((X627 @ (esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|(~(X627 @ (esk38_2 @ X627 @ X628))|~(X628 @ (esk39_2 @ X627 @ X628)))))&(((X628 @ (esk41_2 @ X627 @ X628))|(((X631)!=(esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|(~(X627 @ (esk38_2 @ X627 @ X628))|~(X628 @ (esk39_2 @ X627 @ X628))))&(~(X628 @ X634)|((esk41_2 @ X627 @ X628)=(X634))|(((X631)!=(esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|(~(X627 @ (esk38_2 @ X627 @ X628))|~(X628 @ (esk39_2 @ X627 @ X628))))))&((((X627 @ (esk43_2 @ X627 @ X628))|((X628 @ (esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|(~(X627 @ (esk38_2 @ X627 @ X628))|~(X628 @ (esk39_2 @ X627 @ X628))))&(~(X627 @ X638)|((esk43_2 @ X627 @ X628)=(X638))|((X628 @ (esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|(~(X627 @ (esk38_2 @ X627 @ X628))|~(X628 @ (esk39_2 @ X627 @ X628)))))&(((X627 @ (esk43_2 @ X627 @ X628))|(((X635)!=(esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|(~(X627 @ (esk38_2 @ X627 @ X628))|~(X628 @ (esk39_2 @ X627 @ X628))))&(~(X627 @ X638)|((esk43_2 @ X627 @ X628)=(X638))|(((X635)!=(esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|(~(X627 @ (esk38_2 @ X627 @ X628))|~(X628 @ (esk39_2 @ X627 @ X628)))))))&(((((X628 @ (esk41_2 @ X627 @ X628))|((X627 @ (esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|((X627 @ (esk38_2 @ X627 @ X628))|(X628 @ (esk39_2 @ X627 @ X628))))&(~(X628 @ X634)|((esk41_2 @ X627 @ X628)=(X634))|((X627 @ (esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|((X627 @ (esk38_2 @ X627 @ X628))|(X628 @ (esk39_2 @ X627 @ X628)))))&(((X628 @ (esk41_2 @ X627 @ X628))|(((X631)!=(esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|((X627 @ (esk38_2 @ X627 @ X628))|(X628 @ (esk39_2 @ X627 @ X628))))&(~(X628 @ X634)|((esk41_2 @ X627 @ X628)=(X634))|(((X631)!=(esk40_3 @ X627 @ X628 @ X631))|~(X627 @ X631))|((X627 @ (esk38_2 @ X627 @ X628))|(X628 @ (esk39_2 @ X627 @ X628))))))&((((X627 @ (esk43_2 @ X627 @ X628))|((X628 @ (esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|((X627 @ (esk38_2 @ X627 @ X628))|(X628 @ (esk39_2 @ X627 @ X628))))&(~(X627 @ X638)|((esk43_2 @ X627 @ X628)=(X638))|((X628 @ (esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|((X627 @ (esk38_2 @ X627 @ X628))|(X628 @ (esk39_2 @ X627 @ X628)))))&(((X627 @ (esk43_2 @ X627 @ X628))|(((X635)!=(esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|((X627 @ (esk38_2 @ X627 @ X628))|(X628 @ (esk39_2 @ X627 @ X628))))&(~(X627 @ X638)|((esk43_2 @ X627 @ X628)=(X638))|(((X635)!=(esk42_3 @ X627 @ X628 @ X635))|~(X628 @ X635))|((X627 @ (esk38_2 @ X627 @ X628))|(X628 @ (esk39_2 @ X627 @ X628)))))))))&((emptyset)!=(emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_101])])])])])])])).
% 0.24/0.29 thf(c_0_103, negated_conjecture, ((emptyset)!=(emptyset)), inference(split_conjunct,[status(thm)],[c_0_102])).
% 0.24/0.29 thf(c_0_104, negated_conjecture, ($false), inference(cn,[status(thm)],[c_0_103]), ['proof']).
% 0.24/0.29 % SZS output end CNFRefutation
% 0.24/0.29 % Parsed axioms : 149
% 0.24/0.29 % Removed by relevancy pruning/SinE : 81
% 0.24/0.29 % Initial clauses : 159
% 0.24/0.29 % Removed in clause preprocessing : 8
% 0.24/0.29 % Initial clauses in saturation : 151
% 0.24/0.29 % Processed clauses : 1
% 0.24/0.29 % ...of these trivial : 0
% 0.24/0.29 % ...subsumed : 0
% 0.24/0.29 % ...remaining for further processing : 0
% 0.24/0.29 % Other redundant clauses eliminated : 0
% 0.24/0.29 % Clauses deleted for lack of memory : 0
% 0.24/0.29 % Backward-subsumed : 0
% 0.24/0.29 % Backward-rewritten : 0
% 0.24/0.29 % Generated clauses : 0
% 0.24/0.29 % ...of the previous two non-redundant : 0
% 0.24/0.29 % ...aggressively subsumed : 0
% 0.24/0.29 % Contextual simplify-reflections : 0
% 0.24/0.29 % Paramodulations : 0
% 0.24/0.29 % Factorizations : 0
% 0.24/0.29 % NegExts : 0
% 0.24/0.29 % Equation resolutions : 0
% 0.24/0.29 % Disequality decompositions : 0
% 0.24/0.29 % Total rewrite steps : 0
% 0.24/0.29 % ...of those cached : 0
% 0.24/0.29 % Propositional unsat checks : 0
% 0.24/0.29 % Propositional check models : 0
% 0.24/0.29 % Propositional check unsatisfiable : 0
% 0.24/0.29 % Propositional clauses : 0
% 0.24/0.29 % Propositional clauses after purity: 0
% 0.24/0.29 % Propositional unsat core size : 0
% 0.24/0.29 % Propositional preprocessing time : 0.000
% 0.24/0.29 % Propositional encoding time : 0.000
% 0.24/0.29 % Propositional solver time : 0.000
% 0.24/0.29 % Success case prop preproc time : 0.000
% 0.24/0.29 % Success case prop encoding time : 0.000
% 0.24/0.29 % Success case prop solver time : 0.000
% 0.24/0.29 % Current number of processed clauses : 0
% 0.24/0.29 % Positive orientable unit clauses : 0
% 0.24/0.29 % Positive unorientable unit clauses: 0
% 0.24/0.29 % Negative unit clauses : 0
% 0.24/0.29 % Non-unit-clauses : 0
% 0.24/0.29 % Current number of unprocessed clauses: 150
% 0.24/0.29 % ...number of literals in the above : 500
% 0.24/0.29 % Current number of archived formulas : 0
% 0.24/0.29 % Current number of archived clauses : 0
% 0.24/0.29 % Clause-clause subsumption calls (NU) : 0
% 0.24/0.29 % Rec. Clause-clause subsumption calls : 0
% 0.24/0.29 % Non-unit clause-clause subsumptions : 0
% 0.24/0.29 % Unit Clause-clause subsumption calls : 0
% 0.24/0.29 % Rewrite failures with RHS unbound : 0
% 0.24/0.29 % BW rewrite match attempts : 0
% 0.24/0.29 % BW rewrite match successes : 0
% 0.24/0.29 % Condensation attempts : 0
% 0.24/0.29 % Condensation successes : 0
% 0.24/0.29 % Termbank termtop insertions : 18978
% 0.24/0.29 % Search garbage collected termcells : 7587
% 0.24/0.29
% 0.24/0.29 % -------------------------------------------------
% 0.24/0.29 % User time : 0.017 s
% 0.24/0.29 % System time : 0.003 s
% 0.24/0.29 % Total time : 0.020 s
% 0.24/0.29 % Maximum resident set size: 5832 pages
% 0.24/0.29
% 0.24/0.29 % -------------------------------------------------
% 0.24/0.29 % User time : 0.019 s
% 0.24/0.29 % System time : 0.010 s
% 0.24/0.29 % Total time : 0.029 s
% 0.24/0.29 % Maximum resident set size: 5120 pages
% 0.24/0.29 % E exiting
%------------------------------------------------------------------------------