%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU537^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:24:25 AM UTC 2026
% Result : Theorem 0.12s 0.31s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU537^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.20 % Computer : n013.cluster.edu
% 0.12/0.20 % Model : x86_64 x86_64
% 0.12/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.20 % Memory : 8046.5625MB
% 0.12/0.20 % OS : Linux 6.8.0-71-generic
% 0.12/0.20 % CPULimit : 300
% 0.12/0.20 % WCLimit : 300
% 0.12/0.20 % DateTime : Tue Sep 29 13:48:36 UTC 2026
% 0.12/0.21 % CPUTime :
% 0.12/0.21 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 Running higher-order theorem proving
% 0.12/0.27 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.EbinsLnWyt/E---3.1_2142740.p
% 0.12/0.31 % Version: 3.5.1-ho
% 0.12/0.31 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.12/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.31 % Starting new_ho_10 with 1500s (5) cores
% 0.12/0.31 % Starting sh5l with 300s (1) cores
% 0.12/0.31 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.31 % Starting new_bool_2 with 300s (1) cores
% 0.12/0.31 % new_bool_1 with pid 2142786 completed with status 0
% 0.12/0.31 % Result found by new_bool_1
% 0.12/0.31 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.12/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.31 % Starting new_ho_10 with 1500s (5) cores
% 0.12/0.31 % Starting sh5l with 300s (1) cores
% 0.12/0.31 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.31 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.31 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.31 % Search class: HGHSM-FFMM31-SHSSMSBN
% 0.12/0.31 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.31 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.31 % SubtermCWHack with pid 2142788 completed with status 0
% 0.12/0.31 % Result found by SubtermCWHack
% 0.12/0.31 % Preprocessing class: HSMSSLSSMLLCHSA.
% 0.12/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.31 % Starting new_ho_10 with 1500s (5) cores
% 0.12/0.31 % Starting sh5l with 300s (1) cores
% 0.12/0.31 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.31 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.31 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.31 % Search class: HGHSM-FFMM31-SHSSMSBN
% 0.12/0.31 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.31 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.31 % Preprocessing time : 0.003 s
% 0.12/0.31
% 0.12/0.31 % Proof found!
% 0.12/0.31 % SZS status Theorem
% 0.12/0.31 % SZS output start CNFRefutation
% 0.12/0.31 thf(decl_23, type, in: $i > $i > $o).
% 0.12/0.31 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.12/0.31 thf(decl_25, type, setextAx: $o).
% 0.12/0.31 thf(decl_26, type, emptyset: $i).
% 0.12/0.31 thf(decl_27, type, emptysetAx: $o).
% 0.12/0.31 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.12/0.31 thf(decl_29, type, setadjoinAx: $o).
% 0.12/0.31 thf(decl_30, type, powerset: $i > $i).
% 0.12/0.31 thf(decl_31, type, powersetAx: $o).
% 0.12/0.31 thf(decl_32, type, setunion: $i > $i).
% 0.12/0.31 thf(decl_33, type, setunionAx: $o).
% 0.12/0.31 thf(decl_34, type, omega: $i).
% 0.12/0.31 thf(decl_35, type, omega0Ax: $o).
% 0.12/0.31 thf(decl_36, type, omegaSAx: $o).
% 0.12/0.31 thf(decl_37, type, omegaIndAx: $o).
% 0.12/0.31 thf(decl_38, type, replAx: $o).
% 0.12/0.31 thf(decl_39, type, foundationAx: $o).
% 0.12/0.31 thf(decl_40, type, wellorderingAx: $o).
% 0.12/0.31 thf(decl_42, type, descrp: $o).
% 0.12/0.31 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.12/0.31 thf(decl_44, type, dsetconstrI: $o).
% 0.12/0.31 thf(decl_45, type, dsetconstrEL: $o).
% 0.12/0.31 thf(decl_46, type, dsetconstrER: $o).
% 0.12/0.31 thf(decl_47, type, exuE1: $o).
% 0.12/0.31 thf(decl_48, type, prop2set: $o > $i).
% 0.12/0.31 thf(decl_49, type, prop2setE: $o).
% 0.12/0.31 thf(decl_50, type, emptysetE: $o).
% 0.12/0.31 thf(decl_51, type, emptysetimpfalse: $o).
% 0.12/0.31 thf(decl_52, type, notinemptyset: $o).
% 0.12/0.31 thf(decl_53, type, exuE3e: $o).
% 0.12/0.31 thf(decl_54, type, setext: $o).
% 0.12/0.31 thf(decl_55, type, emptyI: $o).
% 0.12/0.31 thf(decl_56, type, noeltsimpempty: $o).
% 0.12/0.31 thf(decl_57, type, setbeta: $o).
% 0.12/0.31 thf(decl_58, type, nonempty: $i > $o).
% 0.12/0.31 thf(decl_59, type, nonemptyE1: $o).
% 0.12/0.31 thf(decl_60, type, nonemptyI: $o).
% 0.12/0.31 thf(decl_61, type, nonemptyI1: $o).
% 0.12/0.31 thf(decl_62, type, setadjoinIL: $o).
% 0.12/0.31 thf(decl_63, type, emptyinunitempty: $o).
% 0.12/0.31 thf(decl_64, type, setadjoinIR: $o).
% 0.12/0.31 thf(decl_65, type, setadjoinE: $o).
% 0.12/0.31 thf(decl_66, type, setadjoinOr: $o).
% 0.12/0.31 thf(decl_67, type, setoftrueEq: $o).
% 0.12/0.31 thf(decl_68, type, powersetI: $o).
% 0.12/0.31 thf(decl_69, type, emptyinPowerset: $o).
% 0.12/0.31 thf(decl_70, type, emptyInPowerset: $o).
% 0.12/0.31 thf(decl_71, type, powersetE: $o).
% 0.12/0.31 thf(decl_72, type, setunionI: $o).
% 0.12/0.31 thf(decl_73, type, setunionE: $o).
% 0.12/0.31 thf(decl_74, type, subPowSU: $o).
% 0.12/0.31 thf(decl_75, type, exuE2: $o).
% 0.12/0.31 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.12/0.31 thf(decl_77, type, uniqinunit: $o).
% 0.12/0.31 thf(decl_78, type, notinsingleton: $o).
% 0.12/0.31 thf(decl_79, type, eqinunit: $o).
% 0.12/0.31 thf(decl_80, type, singletonsswitch: $o).
% 0.12/0.31 thf(decl_81, type, upairsetE: $o).
% 0.12/0.31 thf(decl_82, type, upairsetIL: $o).
% 0.12/0.31 thf(decl_83, type, upairsetIR: $o).
% 0.12/0.31 thf(decl_84, type, emptyE1: $o).
% 0.12/0.31 thf(decl_85, type, vacuousDall: $o).
% 0.12/0.31 thf(decl_86, type, quantDeMorgan1: $o).
% 0.12/0.31 thf(decl_87, type, epred1_0: $o).
% 0.12/0.31 thf(decl_88, type, esk1_2: $i > $i > $i).
% 0.12/0.31 thf(decl_89, type, esk2_2: $i > $i > $i).
% 0.12/0.31 thf(decl_90, type, esk3_2: $i > $i > $i).
% 0.12/0.31 thf(decl_91, type, esk4_1: $i > $i).
% 0.12/0.31 thf(decl_92, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.12/0.31 thf(decl_93, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.12/0.31 thf(decl_94, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.12/0.31 thf(decl_95, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.12/0.31 thf(decl_96, type, esk9_1: $i > $i).
% 0.12/0.31 thf(decl_97, type, esk10_2: ($i > $o) > $i > $i).
% 0.12/0.31 thf(decl_98, type, esk11_1: ($i > $o) > $i).
% 0.12/0.31 thf(decl_99, type, esk12_2: ($i > $o) > $i > $i).
% 0.12/0.31 thf(decl_100, type, esk13_1: ($i > $o) > $i).
% 0.12/0.31 thf(decl_101, type, esk14_2: $i > $i > $i).
% 0.12/0.31 thf(decl_102, type, esk15_2: $i > $i > $i).
% 0.12/0.31 thf(decl_103, type, esk16_1: $i > $i).
% 0.12/0.31 thf(decl_104, type, esk17_1: $i > $i).
% 0.12/0.31 thf(decl_105, type, esk18_1: $i > $i).
% 0.12/0.31 thf(decl_106, type, esk19_2: $i > $i > $i).
% 0.12/0.31 thf(decl_107, type, esk20_3: $i > $i > $o > $i).
% 0.12/0.31 thf(decl_108, type, esk21_2: ($i > $o) > $i > $i).
% 0.12/0.31 thf(decl_109, type, esk22_1: ($i > $o) > $i).
% 0.12/0.31 thf(decl_110, type, esk23_1: $i > $i).
% 0.12/0.31 thf(decl_111, type, esk24_2: $i > ($i > $o) > $i).
% 0.12/0.31 thf(decl_112, type, esk25_0: $i).
% 0.12/0.31 thf(decl_113, type, epred2_0: $i > $o).
% 0.12/0.31 thf(decl_114, type, esk26_0: $i).
% 0.12/0.31 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', replAx)).
% 0.12/0.31 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', exu)).
% 0.12/0.31 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', exuE3e)).
% 0.12/0.31 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', prop2set)).
% 0.12/0.31 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', exuE1)).
% 0.12/0.31 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', nonempty)).
% 0.12/0.31 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', nonemptyI)).
% 0.12/0.31 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', exuE2)).
% 0.12/0.31 thf(quantDeMorgan2, 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)=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', quantDeMorgan2)).
% 0.12/0.31 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.EbinsLnWyt/E---3.1_2142740.p', emptyE1)).
% 0.12/0.31 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', dsetconstrEL)).
% 0.12/0.31 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', dsetconstrI)).
% 0.12/0.31 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', dsetconstrER)).
% 0.12/0.31 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', prop2setE)).
% 0.12/0.31 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', nonemptyI1)).
% 0.12/0.31 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', nonemptyE1)).
% 0.12/0.31 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setbeta)).
% 0.12/0.31 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setoftrueEq)).
% 0.12/0.31 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', nonemptyImpWitness)).
% 0.12/0.31 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.EbinsLnWyt/E---3.1_2142740.p', omegaIndAx)).
% 0.12/0.31 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', uniqinunit)).
% 0.12/0.31 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', notinsingleton)).
% 0.12/0.31 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', eqinunit)).
% 0.12/0.31 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', singletonsswitch)).
% 0.12/0.31 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X15:$i]:(((in @ X15 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X15)=(X2))|((X15)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', upairsetE)).
% 0.12/0.31 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', upairsetIL)).
% 0.12/0.31 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', upairsetIR)).
% 0.12/0.31 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', vacuousDall)).
% 0.12/0.31 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', quantDeMorgan1)).
% 0.12/0.31 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.EbinsLnWyt/E---3.1_2142740.p', wellorderingAx)).
% 0.12/0.31 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.EbinsLnWyt/E---3.1_2142740.p', foundationAx)).
% 0.12/0.31 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', emptyInPowerset)).
% 0.12/0.31 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', emptyinPowerset)).
% 0.12/0.31 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', omegaSAx)).
% 0.12/0.31 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setext)).
% 0.12/0.31 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', notinemptyset)).
% 0.12/0.31 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', emptysetimpfalse)).
% 0.12/0.31 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', emptysetE)).
% 0.12/0.31 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', emptyI)).
% 0.12/0.31 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', omega0Ax)).
% 0.12/0.31 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', emptyinunitempty)).
% 0.12/0.31 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setadjoinIL)).
% 0.12/0.31 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', noeltsimpempty)).
% 0.12/0.31 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setadjoinIR)).
% 0.12/0.31 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', powersetE)).
% 0.12/0.31 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', powersetI)).
% 0.12/0.31 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setadjoinOr)).
% 0.12/0.31 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X13:$o]:(((((X3)=(X2))=>(X13))=>(((in @ X3 @ X4)=>(X13))=>(X13))))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setadjoinE)).
% 0.12/0.31 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X14:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X14))))=>(X14)))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setunionE)).
% 0.12/0.31 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', subPowSU)).
% 0.12/0.31 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setunionI)).
% 0.12/0.31 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setunionAx)).
% 0.12/0.31 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', powersetAx)).
% 0.12/0.31 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setadjoinAx)).
% 0.12/0.31 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', emptysetAx)).
% 0.12/0.31 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.EbinsLnWyt/E---3.1_2142740.p', setextAx)).
% 0.12/0.31 thf(c_0_56, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.12/0.31 thf(c_0_57, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.12/0.31 thf(c_0_58, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.12/0.31 thf(c_0_59, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])).
% 0.12/0.31 thf(c_0_60, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.12/0.31 thf(c_0_61, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.12/0.31 thf(c_0_62, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.12/0.31 thf(c_0_63, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.12/0.31 thf(c_0_64, 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)=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[quantDeMorgan2])).
% 0.12/0.31 thf(c_0_65, plain, ((emptyE1)<=>![X4:$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])).
% 0.12/0.31 thf(c_0_66, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.12/0.31 thf(c_0_67, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.12/0.31 thf(c_0_68, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X163:$i]:(((((X6 @ X2 @ X163)))&(![X164:$i]:(((((X6 @ X2 @ X164)))=>(((X163)=(X164)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_56, c_0_57])).
% 0.12/0.31 thf(c_0_69, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.12/0.31 thf(c_0_70, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X167:$i]:(((((X1 @ X167)))&(![X168:$i]:(((((X1 @ X168)))=>(((X167)=(X168))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_58, c_0_57])).
% 0.12/0.31 thf(c_0_71, axiom, ((prop2setE)=(![X11:$o, X2:$i]:((((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11)))))))=>((X11)))))), inference(apply_def,[status(thm)],[prop2setE, c_0_59])).
% 0.12/0.31 thf(c_0_72, plain, ((exuE1)=(![X1:$i > $o]:((((?[X165:$i]:(((((X1 @ X165)))&(![X166:$i]:(((((X1 @ X166)))=>(((X165)=(X166))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_60, c_0_57])).
% 0.12/0.31 thf(c_0_73, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_61])).
% 0.12/0.31 thf(c_0_74, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_62, c_0_61])).
% 0.12/0.31 thf(c_0_75, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_61])).
% 0.12/0.31 thf(c_0_76, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.12/0.31 thf(c_0_77, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.12/0.31 thf(c_0_78, plain, ((exuE2)=(![X1:$i > $o]:((((?[X169:$i]:(((((X1 @ X169)))&(![X170:$i]:(((((X1 @ X170)))=>(((X169)=(X170))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_63, c_0_57])).
% 0.12/0.31 thf(c_0_79, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_61])).
% 0.12/0.31 thf(c_0_80, plain, ((epred1_0)<=>![X200:$i]:(?[X201:$i]:((((![X202:$i]:(((in @ X202 @ X201)=>![X203:$i]:(((in @ X203 @ X202)=>(in @ X203 @ X200)))))&![X204:$i, X205:$i]:((((in @ X204 @ X200)&(in @ X205 @ X200))=>(![X206:$i]:(((in @ X206 @ X201)=>((in @ X204 @ X206)<=>(in @ X205 @ X206))))=>((X204)=(X205))))))&![X207:$i, X208:$i]:((((in @ X207 @ X201)&(in @ X208 @ X201))=>(![X209:$i]:(((in @ X209 @ X207)=>(in @ X209 @ X208)))|![X210:$i]:(((in @ X210 @ X208)=>(in @ X210 @ X207)))))))&![X211:$i]:(((![X212:$i]:(((in @ X212 @ X211)=>(in @ X212 @ X200)))&?[X213:$i]:((in @ X213 @ X211)))=>?[X214:$i, X215:$i]:(((((in @ X214 @ X201)&(in @ X215 @ X211))&~(?[X216:$i]:(((in @ X216 @ X214)&(in @ X216 @ X211)))))&![X217:$i]:(((in @ X217 @ X201)=>(![X218:$i]:(((in @ X218 @ X217)=>(in @ X218 @ X214)))|(in @ X215 @ X217)))))))))))), introduced(definition)).
% 0.12/0.31 thf(c_0_81, negated_conjecture, ~((![X171:$i, X172:$i]:((![X173:$i]:(((in @ X173 @ X171)<=>(in @ X173 @ X172)))=>((X171)=(X172))))=>(![X174:$i]:(~(in @ X174 @ emptyset))=>(![X175:$i, X176:$i, X177:$i]:(((in @ X177 @ (setadjoin @ X175 @ X176))<=>(((X177)=(X175))|(in @ X177 @ X176))))=>(![X178:$i, X179:$i]:(((in @ X179 @ (powerset @ X178))<=>![X180:$i]:(((in @ X180 @ X179)=>(in @ X180 @ X178)))))=>(![X181:$i, X182:$i]:(((in @ X182 @ (setunion @ X181))<=>?[X183:$i]:(((in @ X182 @ X183)&(in @ X183 @ X181)))))=>((in @ emptyset @ omega)=>(![X184:$i]:(((in @ X184 @ omega)=>(in @ (setadjoin @ X184 @ X184) @ omega)))=>(![X185:$i]:((((in @ emptyset @ X185)&![X186:$i]:((((in @ X186 @ omega)&(in @ X186 @ X185))=>(in @ (setadjoin @ X186 @ X186) @ X185))))=>![X187:$i]:(((in @ X187 @ omega)=>(in @ X187 @ X185)))))=>(![X188:$i > $i > $o, X189:$i]:((![X190:$i]:(((in @ X190 @ X189)=>?[X191:$i]:(((X188 @ X190 @ X191)&![X192:$i]:(((X188 @ X190 @ X192)=>((X191)=(X192))))))))=>?[X193:$i]:(![X194:$i]:(((in @ X194 @ X193)<=>?[X195:$i]:(((in @ X195 @ X189)&(X188 @ X195 @ X194))))))))=>(![X196:$i]:((?[X197:$i]:((in @ X197 @ X196))=>?[X198:$i]:(((in @ X198 @ X196)&~(?[X199:$i]:(((in @ X199 @ X198)&(in @ X199 @ X196))))))))=>((epred1_0)=>((descrp)=>(![X219:$i, X220:$i > $o, X221:$i]:(((in @ X221 @ X219)=>((X220 @ X221)=>(in @ X221 @ (dsetconstr @ X219 @ X220)))))=>(![X222:$i, X223:$i > $o, X224:$i]:(((in @ X224 @ (dsetconstr @ X222 @ X223))=>(in @ X224 @ X222)))=>(![X225:$i, X226:$i > $o, X227:$i]:(((in @ X227 @ (dsetconstr @ X225 @ X226))=>(X226 @ X227)))=>(![X228:$i > $o]:((?[X229:$i]:(((X228 @ X229)&![X230:$i]:(((X228 @ X230)=>((X229)=(X230))))))=>?[X231:$i]:(((X228 @ X231)&![X232:$i]:(((X228 @ X232)=>((X231)=(X232))))))))=>(![X233:$o, X234:$i]:(((in @ X234 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X233)))))=>(X233)))=>(![X235:$i]:(((in @ X235 @ emptyset)=>![X236:$o]:((X236))))=>(![X237:$i]:(((in @ X237 @ emptyset)=>~($true)))=>(![X238:$i]:(~(in @ X238 @ emptyset))=>(![X239:$i > $o]:((?[X240:$i]:(((X239 @ X240)&![X241:$i]:(((X239 @ X241)=>((X240)=(X241))))))=>?[X242:$i]:((X239 @ X242))))=>(![X243:$i, X244:$i]:((![X245:$i]:(((in @ X245 @ X243)=>(in @ X245 @ X244)))=>(![X246:$i]:(((in @ X246 @ X244)=>(in @ X246 @ X243)))=>((X243)=(X244)))))=>(![X247:$i]:((![X248:$i]:(~(in @ X248 @ X247))=>((X247)=(emptyset))))=>(![X249:$i]:((![X250:$i]:(~(in @ X250 @ X249))=>((X249)=(emptyset))))=>(![X251:$i, X252:$i > $o, X253:$i]:(((in @ X253 @ X251)=>((in @ X253 @ (dsetconstr @ X251 @ X252))<=>(X252 @ X253))))=>(![X254:$i]:((((X254)!=(emptyset))=>?[X255:$i]:((in @ X255 @ X254))))=>(![X256:$i, X257:$i > $o, X258:$i]:(((in @ X258 @ X256)=>((X257 @ X258)=>((dsetconstr @ X256 @ X257)!=(emptyset)))))=>(![X259:$i]:((?[X260:$i]:((in @ X260 @ X259))=>((X259)!=(emptyset))))=>(![X261:$i, X262:$i]:((in @ X261 @ (setadjoin @ X261 @ X262)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X263:$i, X264:$i, X265:$i]:(((in @ X265 @ X264)=>(in @ X265 @ (setadjoin @ X263 @ X264))))=>(![X266:$i, X267:$i, X268:$i]:(((in @ X268 @ (setadjoin @ X266 @ X267))=>![X269:$o]:(((((X268)=(X266))=>(X269))=>(((in @ X268 @ X267)=>(X269))=>(X269))))))=>(![X270:$i, X271:$i, X272:$i]:(((in @ X272 @ (setadjoin @ X270 @ X271))=>(((X272)=(X270))|(in @ X272 @ X271))))=>(![X273:$i]:(((dsetconstr @ X273 @ (^[Z0:$i]:($true)))=(X273)))=>(![X274:$i, X275:$i]:((![X276:$i]:(((in @ X276 @ X275)=>(in @ X276 @ X274)))=>(in @ X275 @ (powerset @ X274))))=>(![X277:$i]:((in @ emptyset @ (powerset @ X277)))=>(![X278:$i]:((in @ emptyset @ (powerset @ X278)))=>(![X279:$i, X280:$i, X281:$i]:(((in @ X280 @ (powerset @ X279))=>((in @ X281 @ X280)=>(in @ X281 @ X279))))=>(![X282:$i, X283:$i, X284:$i]:(((in @ X283 @ X284)=>((in @ X284 @ X282)=>(in @ X283 @ (setunion @ X282)))))=>(![X285:$i, X286:$i]:(((in @ X286 @ (setunion @ X285))=>![X287:$o]:((![X288:$i]:(((in @ X286 @ X288)=>((in @ X288 @ X285)=>(X287))))=>(X287)))))=>(![X289:$i, X290:$i]:(((in @ X290 @ X289)=>(in @ X290 @ (powerset @ (setunion @ X289)))))=>(![X291:$i > $o]:((?[X292:$i]:(((X291 @ X292)&![X293:$i]:(((X291 @ X293)=>((X292)=(X293))))))=>?[X294:$i]:(![X295:$i]:(((X291 @ X295)<=>((X295)=(X294)))))))=>(![X296:$i]:((((X296)!=(emptyset))=>?[X297:$i]:(((in @ X297 @ X296)&$true))))=>(![X298:$i, X299:$i]:(((in @ X298 @ (setadjoin @ X299 @ emptyset))=>((X298)=(X299))))=>(![X300:$i, X301:$i]:((((X300)!=(X301))=>~(in @ X301 @ (setadjoin @ X300 @ emptyset))))=>(![X302:$i, X303:$i]:((((X302)=(X303))=>(in @ X302 @ (setadjoin @ X303 @ emptyset))))=>(![X304:$i, X305:$i]:(((in @ X304 @ (setadjoin @ X305 @ emptyset))=>(in @ X305 @ (setadjoin @ X304 @ emptyset))))=>(![X306:$i, X307:$i, X308:$i]:(((in @ X308 @ (setadjoin @ X306 @ (setadjoin @ X307 @ emptyset)))=>(((X308)=(X306))|((X308)=(X307)))))=>(![X309:$i, X310:$i]:((in @ X309 @ (setadjoin @ X309 @ (setadjoin @ X310 @ emptyset))))=>(![X311:$i, X312:$i]:((in @ X312 @ (setadjoin @ X311 @ (setadjoin @ X312 @ emptyset))))=>(![X313:$i, X314:$i > $o]:((?[X315:$i]:(((in @ X315 @ X313)&(X314 @ X315)))=>(((dsetconstr @ X313 @ X314)=(emptyset))=>~($true))))=>(![X316:$i > $o, X317:$i]:(((in @ X317 @ emptyset)=>(X316 @ X317)))=>(![X318:$i, X319:$i > $o]:((~(![X320:$i]:(((in @ X320 @ X318)=>(X319 @ X320))))=>?[X321:$i]:(((in @ X321 @ X318)&~((X319 @ X321))))))=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_64, omegaIndAx]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_65]), vacuousDall]), quantDeMorgan1]), c_0_66]), c_0_67]), wellorderingAx]), foundationAx]), c_0_68]), emptyInPowerset]), emptyinPowerset]), omegaSAx]), c_0_69]), setext]), c_0_70]), notinemptyset]), emptysetimpfalse]), emptysetE]), c_0_71]), c_0_72]), emptyI]), omega0Ax]), emptyinunitempty]), setadjoinIL]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), noeltsimpempty]), setadjoinIR]), powersetE]), powersetI]), c_0_77]), setadjoinOr]), setadjoinE]), setunionE]), subPowSU]), c_0_78]), c_0_79]), setunionI]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_80])).
% 0.12/0.31 thf(c_0_82, negated_conjecture, ![X322:$i, X323:$i, X325:$i, X326:$i, X327:$i, X328:$i, X329:$i, X330:$i, X331:$i, X332:$i, X333:$i, X335:$i, X336:$i, X338:$i, X339:$i, X340:$i, X341:$i, X342:$i, X344:$i, X345:$i > $i > $o, X346:$i, X348:$i, X351:$i, X353:$i, X354:$i, X355:$i, X356:$i, X358:$i, X359:$i, X360:$i > $o, X361:$i, X362:$i, X363:$i > $o, X364:$i, X365:$i, X366:$i > $o, X367:$i, X368:$i > $o, X369:$i, X372:$i, X373:$o, X374:$i, X375:$i, X376:$o, X377:$i, X378:$i, X379:$i > $o, X380:$i, X383:$i, X384:$i, X387:$i, X389:$i, X391:$i, X392:$i > $o, X393:$i, X394:$i, X396:$i, X397:$i > $o, X398:$i, X399:$i, X400:$i, X401:$i, X402:$i, X403:$i, X404:$i, X405:$i, X406:$i, X407:$i, X408:$i, X409:$o, X410:$i, X411:$i, X412:$i, X413:$i, X414:$i, X415:$i, X417:$i, X418:$i, X419:$i, X420:$i, X421:$i, X422:$i, X423:$i, X424:$i, X425:$i, X426:$i, X427:$o, X429:$i, X430:$i, X431:$i > $o, X432:$i, X435:$i, X436:$i, X437:$i, X439:$i, X440:$i, X441:$i, X442:$i, X443:$i, X444:$i, X445:$i, X446:$i, X447:$i, X448:$i, X449:$i, X450:$i, X451:$i, X452:$i, X453:$i, X454:$i, X455:$i > $o, X456:$i, X457:$i > $o, X458:$i, X459:$i, X460:$i > $o, X461:$i, X465:$i]:((((~(in @ (esk1_2 @ X322 @ X323) @ X322)|~(in @ (esk1_2 @ X322 @ X323) @ X323)|((X322)=(X323)))&((in @ (esk1_2 @ X322 @ X323) @ X322)|(in @ (esk1_2 @ X322 @ X323) @ X323)|((X322)=(X323))))&(~(in @ X325 @ emptyset)&(((~(in @ X328 @ (setadjoin @ X326 @ X327))|(((X328)=(X326))|(in @ X328 @ X327)))&((((X328)!=(X326))|(in @ X328 @ (setadjoin @ X326 @ X327)))&(~(in @ X328 @ X327)|(in @ X328 @ (setadjoin @ X326 @ X327)))))&(((~(in @ X330 @ (powerset @ X329))|(~(in @ X331 @ X330)|(in @ X331 @ X329)))&(((in @ (esk2_2 @ X332 @ X333) @ X333)|(in @ X333 @ (powerset @ X332)))&(~(in @ (esk2_2 @ X332 @ X333) @ X332)|(in @ X333 @ (powerset @ X332)))))&(((((in @ X336 @ (esk3_2 @ X335 @ X336))|~(in @ X336 @ (setunion @ X335)))&((in @ (esk3_2 @ X335 @ X336) @ X335)|~(in @ X336 @ (setunion @ X335))))&(~(in @ X339 @ X340)|~(in @ X340 @ X338)|(in @ X339 @ (setunion @ X338))))&((in @ emptyset @ omega)&((~(in @ X341 @ omega)|(in @ (setadjoin @ X341 @ X341) @ omega))&(((((in @ (esk4_1 @ X342) @ omega)|~(in @ emptyset @ X342)|(~(in @ X344 @ omega)|(in @ X344 @ X342)))&((in @ (esk4_1 @ X342) @ X342)|~(in @ emptyset @ X342)|(~(in @ X344 @ omega)|(in @ X344 @ X342))))&(~(in @ (setadjoin @ (esk4_1 @ X342) @ (esk4_1 @ X342)) @ X342)|~(in @ emptyset @ X342)|(~(in @ X344 @ omega)|(in @ X344 @ X342))))&((((((in @ (esk8_3 @ X345 @ X346 @ X351) @ X346)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|(in @ (esk5_2 @ X345 @ X346) @ X346))&((X345 @ (esk8_3 @ X345 @ X346 @ X351) @ X351)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|(in @ (esk5_2 @ X345 @ X346) @ X346)))&(~(in @ X354 @ X346)|~(X345 @ X354 @ X353)|(in @ X353 @ (esk7_2 @ X345 @ X346))|(in @ (esk5_2 @ X345 @ X346) @ X346)))&(((((in @ (esk8_3 @ X345 @ X346 @ X351) @ X346)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|((X345 @ (esk5_2 @ X345 @ X346) @ (esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348)))&((X345 @ (esk8_3 @ X345 @ X346 @ X351) @ X351)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|((X345 @ (esk5_2 @ X345 @ X346) @ (esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348))))&(~(in @ X354 @ X346)|~(X345 @ X354 @ X353)|(in @ X353 @ (esk7_2 @ X345 @ X346))|((X345 @ (esk5_2 @ X345 @ X346) @ (esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348))))&((((in @ (esk8_3 @ X345 @ X346 @ X351) @ X346)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|(((X348)!=(esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348)))&((X345 @ (esk8_3 @ X345 @ X346 @ X351) @ X351)|~(in @ X351 @ (esk7_2 @ X345 @ X346))|(((X348)!=(esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348))))&(~(in @ X354 @ X346)|~(X345 @ X354 @ X353)|(in @ X353 @ (esk7_2 @ X345 @ X346))|(((X348)!=(esk6_3 @ X345 @ X346 @ X348))|~(X345 @ (esk5_2 @ X345 @ X346) @ X348))))))&((((in @ (esk9_1 @ X355) @ X355)|~(in @ X356 @ X355))&(~(in @ X358 @ (esk9_1 @ X355))|~(in @ X358 @ X355)|~(in @ X356 @ X355)))&((epred1_0)&((descrp)&((~(in @ X361 @ X359)|(~(X360 @ X361)|(in @ X361 @ (dsetconstr @ X359 @ X360))))&((~(in @ X364 @ (dsetconstr @ X362 @ X363))|(in @ X364 @ X362))&((~(in @ X367 @ (dsetconstr @ X365 @ X366))|(X366 @ X367))&(((((X368 @ (esk11_1 @ X368))|((X368 @ (esk10_2 @ X368 @ X369))|~(X368 @ X369)))&(~(X368 @ X372)|((esk11_1 @ X368)=(X372))|((X368 @ (esk10_2 @ X368 @ X369))|~(X368 @ X369))))&(((X368 @ (esk11_1 @ X368))|(((X369)!=(esk10_2 @ X368 @ X369))|~(X368 @ X369)))&(~(X368 @ X372)|((esk11_1 @ X368)=(X372))|(((X369)!=(esk10_2 @ X368 @ X369))|~(X368 @ X369)))))&((~(in @ X374 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X373)))))|(X373))&((~(in @ X375 @ emptyset)|(X376))&((~(in @ X377 @ emptyset)|~($true))&(~(in @ X378 @ emptyset)&((((X379 @ (esk12_2 @ X379 @ X380))|~(X379 @ X380)|(X379 @ (esk13_1 @ X379)))&(((X380)!=(esk12_2 @ X379 @ X380))|~(X379 @ X380)|(X379 @ (esk13_1 @ X379))))&(((((in @ (esk15_2 @ X383 @ X384) @ X384)|((X383)=(X384))|(in @ (esk14_2 @ X383 @ X384) @ X383))&(~(in @ (esk15_2 @ X383 @ X384) @ X383)|((X383)=(X384))|(in @ (esk14_2 @ X383 @ X384) @ X383)))&(((in @ (esk15_2 @ X383 @ X384) @ X384)|((X383)=(X384))|~(in @ (esk14_2 @ X383 @ X384) @ X384))&(~(in @ (esk15_2 @ X383 @ X384) @ X383)|((X383)=(X384))|~(in @ (esk14_2 @ X383 @ X384) @ X384))))&(((in @ (esk16_1 @ X387) @ X387)|((X387)=(emptyset)))&(((in @ (esk17_1 @ X389) @ X389)|((X389)=(emptyset)))&(((~(in @ X393 @ (dsetconstr @ X391 @ X392))|(X392 @ X393)|~(in @ X393 @ X391))&(~(X392 @ X393)|(in @ X393 @ (dsetconstr @ X391 @ X392))|~(in @ X393 @ X391)))&((((X394)=(emptyset))|(in @ (esk18_1 @ X394) @ X394))&((~(in @ X398 @ X396)|(~(X397 @ X398)|((dsetconstr @ X396 @ X397)!=(emptyset))))&((~(in @ X400 @ X399)|((X399)!=(emptyset)))&((in @ X401 @ (setadjoin @ X401 @ X402))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X405 @ X404)|(in @ X405 @ (setadjoin @ X403 @ X404)))&(((((in @ X408 @ X407)|(X409)|((X408)=(X406))|~(in @ X408 @ (setadjoin @ X406 @ X407)))&(~(X409)|(X409)|((X408)=(X406))|~(in @ X408 @ (setadjoin @ X406 @ X407))))&(((in @ X408 @ X407)|(X409)|~(X409)|~(in @ X408 @ (setadjoin @ X406 @ X407)))&(~(X409)|(X409)|~(X409)|~(in @ X408 @ (setadjoin @ X406 @ X407)))))&((~(in @ X412 @ (setadjoin @ X410 @ X411))|(((X412)=(X410))|(in @ X412 @ X411)))&(((dsetconstr @ X413 @ (^[Z0:$i]:($true)))=(X413))&((((in @ (esk19_2 @ X414 @ X415) @ X415)|(in @ X415 @ (powerset @ X414)))&(~(in @ (esk19_2 @ X414 @ X415) @ X414)|(in @ X415 @ (powerset @ X414))))&((in @ emptyset @ (powerset @ X417))&((in @ emptyset @ (powerset @ X418))&((~(in @ X420 @ (powerset @ X419))|(~(in @ X421 @ X420)|(in @ X421 @ X419)))&((~(in @ X423 @ X424)|(~(in @ X424 @ X422)|(in @ X423 @ (setunion @ X422))))&((((in @ X426 @ (esk20_3 @ X425 @ X426 @ X427))|(X427)|~(in @ X426 @ (setunion @ X425)))&(((in @ (esk20_3 @ X425 @ X426 @ X427) @ X425)|(X427)|~(in @ X426 @ (setunion @ X425)))&(~(X427)|(X427)|~(in @ X426 @ (setunion @ X425)))))&((~(in @ X430 @ X429)|(in @ X430 @ (powerset @ (setunion @ X429))))&((((~(X431 @ X435)|((X435)=(esk22_1 @ X431))|((X431 @ (esk21_2 @ X431 @ X432))|~(X431 @ X432)))&(((X436)!=(esk22_1 @ X431))|(X431 @ X436)|((X431 @ (esk21_2 @ X431 @ X432))|~(X431 @ X432))))&((~(X431 @ X435)|((X435)=(esk22_1 @ X431))|(((X432)!=(esk21_2 @ X431 @ X432))|~(X431 @ X432)))&(((X436)!=(esk22_1 @ X431))|(X431 @ X436)|(((X432)!=(esk21_2 @ X431 @ X432))|~(X431 @ X432)))))&((((in @ (esk23_1 @ X437) @ X437)|((X437)=(emptyset)))&(($true)|((X437)=(emptyset))))&((~(in @ X439 @ (setadjoin @ X440 @ emptyset))|((X439)=(X440)))&((((X441)=(X442))|~(in @ X442 @ (setadjoin @ X441 @ emptyset)))&((((X443)!=(X444))|(in @ X443 @ (setadjoin @ X444 @ emptyset)))&((~(in @ X445 @ (setadjoin @ X446 @ emptyset))|(in @ X446 @ (setadjoin @ X445 @ emptyset)))&((~(in @ X449 @ (setadjoin @ X447 @ (setadjoin @ X448 @ emptyset)))|(((X449)=(X447))|((X449)=(X448))))&((in @ X450 @ (setadjoin @ X450 @ (setadjoin @ X451 @ emptyset)))&((in @ X453 @ (setadjoin @ X452 @ (setadjoin @ X453 @ emptyset)))&((~(in @ X456 @ X454)|~(X455 @ X456)|(((dsetconstr @ X454 @ X455)!=(emptyset))|~($true)))&((~(in @ X458 @ emptyset)|(X457 @ X458))&((((in @ (esk24_2 @ X459 @ X460) @ X459)|(~(in @ X461 @ X459)|(X460 @ X461)))&(~(X460 @ (esk24_2 @ X459 @ X460))|(~(in @ X461 @ X459)|(X460 @ X461))))&((~(in @ X465 @ esk25_0)|~(epred2_0 @ X465))&((in @ esk26_0 @ esk25_0)&(epred2_0 @ esk26_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])])])])])).
% 0.12/0.31 thf(c_0_83, negated_conjecture, ![X2:$i]:((~((in @ X2 @ esk25_0))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_82])).
% 0.12/0.31 thf(c_0_84, negated_conjecture, (in @ esk26_0 @ esk25_0), inference(split_conjunct,[status(thm)],[c_0_82])).
% 0.12/0.31 thf(c_0_85, negated_conjecture, (epred2_0 @ esk26_0), inference(split_conjunct,[status(thm)],[c_0_82])).
% 0.12/0.31 thf(c_0_86, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_85])]), ['proof']).
% 0.12/0.31 % SZS output end CNFRefutation
% 0.12/0.31 % Parsed axioms : 121
% 0.12/0.31 % Removed by relevancy pruning/SinE : 65
% 0.12/0.31 % Initial clauses : 106
% 0.12/0.31 % Removed in clause preprocessing : 5
% 0.12/0.31 % Initial clauses in saturation : 101
% 0.12/0.31 % Processed clauses : 12
% 0.12/0.31 % ...of these trivial : 1
% 0.12/0.31 % ...subsumed : 3
% 0.12/0.31 % ...remaining for further processing : 8
% 0.12/0.31 % Other redundant clauses eliminated : 0
% 0.12/0.31 % Clauses deleted for lack of memory : 0
% 0.12/0.31 % Backward-subsumed : 0
% 0.12/0.31 % Backward-rewritten : 0
% 0.12/0.31 % Generated clauses : 1
% 0.12/0.31 % ...of the previous two non-redundant : 0
% 0.12/0.31 % ...aggressively subsumed : 0
% 0.12/0.31 % Contextual simplify-reflections : 0
% 0.12/0.31 % Paramodulations : 1
% 0.12/0.31 % Factorizations : 0
% 0.12/0.31 % NegExts : 0
% 0.12/0.31 % Equation resolutions : 0
% 0.12/0.31 % Disequality decompositions : 0
% 0.12/0.31 % Total rewrite steps : 2
% 0.12/0.31 % ...of those cached : 0
% 0.12/0.31 % Propositional unsat checks : 0
% 0.12/0.31 % Propositional check models : 0
% 0.12/0.31 % Propositional check unsatisfiable : 0
% 0.12/0.31 % Propositional clauses : 0
% 0.12/0.31 % Propositional clauses after purity: 0
% 0.12/0.31 % Propositional unsat core size : 0
% 0.12/0.31 % Propositional preprocessing time : 0.000
% 0.12/0.31 % Propositional encoding time : 0.000
% 0.12/0.31 % Propositional solver time : 0.000
% 0.12/0.31 % Success case prop preproc time : 0.000
% 0.12/0.31 % Success case prop encoding time : 0.000
% 0.12/0.31 % Success case prop solver time : 0.000
% 0.12/0.31 % Current number of processed clauses : 8
% 0.12/0.31 % Positive orientable unit clauses : 6
% 0.12/0.31 % Positive unorientable unit clauses: 0
% 0.12/0.31 % Negative unit clauses : 1
% 0.12/0.31 % Non-unit-clauses : 1
% 0.12/0.31 % Current number of unprocessed clauses: 89
% 0.12/0.31 % ...number of literals in the above : 276
% 0.12/0.31 % Current number of archived formulas : 0
% 0.12/0.31 % Current number of archived clauses : 0
% 0.12/0.31 % Clause-clause subsumption calls (NU) : 0
% 0.12/0.31 % Rec. Clause-clause subsumption calls : 0
% 0.12/0.31 % Non-unit clause-clause subsumptions : 0
% 0.12/0.31 % Unit Clause-clause subsumption calls : 0
% 0.12/0.31 % Rewrite failures with RHS unbound : 0
% 0.12/0.31 % BW rewrite match attempts : 0
% 0.12/0.31 % BW rewrite match successes : 0
% 0.12/0.31 % Condensation attempts : 0
% 0.12/0.31 % Condensation successes : 0
% 0.12/0.31 % Termbank termtop insertions : 13385
% 0.12/0.31 % Search garbage collected termcells : 5345
% 0.12/0.31
% 0.12/0.31 % -------------------------------------------------
% 0.12/0.31 % User time : 0.013 s
% 0.12/0.31 % System time : 0.002 s
% 0.12/0.31 % Total time : 0.015 s
% 0.12/0.31 % Maximum resident set size: 5296 pages
% 0.12/0.31
% 0.12/0.31 % -------------------------------------------------
% 0.12/0.31 % User time : 0.017 s
% 0.12/0.31 % System time : 0.008 s
% 0.12/0.31 % Total time : 0.025 s
% 0.12/0.31 % Maximum resident set size: 4608 pages
% 0.12/0.31 % E exiting
%------------------------------------------------------------------------------