%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM540+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:57:45 PM UTC 2026
% Result : Theorem 0.14s 1.51s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 113)
% Comments :
%------------------------------------------------------------------------------
fof(mCardCons,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(mDiffCons,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
fof(mNoScLessZr,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(mCountNFin,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(mDefMax,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzazxdt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(mMinMin,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X2,szNzAzT0)
& X1 != slcrc0
& X2 != slcrc0 )
=> ( ( aElementOf0(szmzizndt0(X1),X2)
& aElementOf0(szmzizndt0(X2),X1) )
=> szmzizndt0(X1) = szmzizndt0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(mCardSubEx,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ( ( isFinite0(X1)
& sdtlseqdt0(X2,sbrdtbr0(X1)) )
=> ? [X3] :
( aSubsetOf0(X3,X1)
& sbrdtbr0(X3) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(mCardDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(mCardSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aSubsetOf0(X2,X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(mSubASymm,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(mSuccEquSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(mCDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(mCConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(mFConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(mLessRefl,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(m__,conjecture,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(i_0_46,plain,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[mCardCons]) ).
fof(i_0_47,plain,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
inference(fof_simplification,[status(thm)],[mDiffCons]) ).
fof(i_0_48,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(i_0_49,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(i_0_50,plain,
! [X122,X123,X124,X125,X126,X127] :
( ( aSet0(X124)
| X124 != sdtmndt0(X122,X123)
| ~ aSet0(X122)
| ~ aElement0(X123) )
& ( aElement0(X125)
| ~ aElementOf0(X125,X124)
| X124 != sdtmndt0(X122,X123)
| ~ aSet0(X122)
| ~ aElement0(X123) )
& ( aElementOf0(X125,X122)
| ~ aElementOf0(X125,X124)
| X124 != sdtmndt0(X122,X123)
| ~ aSet0(X122)
| ~ aElement0(X123) )
& ( X125 != X123
| ~ aElementOf0(X125,X124)
| X124 != sdtmndt0(X122,X123)
| ~ aSet0(X122)
| ~ aElement0(X123) )
& ( ~ aElement0(X126)
| ~ aElementOf0(X126,X122)
| X126 = X123
| aElementOf0(X126,X124)
| X124 != sdtmndt0(X122,X123)
| ~ aSet0(X122)
| ~ aElement0(X123) )
& ( ~ aElementOf0(esk4_3(X122,X123,X127),X127)
| ~ aElement0(esk4_3(X122,X123,X127))
| ~ aElementOf0(esk4_3(X122,X123,X127),X122)
| esk4_3(X122,X123,X127) = X123
| ~ aSet0(X127)
| X127 = sdtmndt0(X122,X123)
| ~ aSet0(X122)
| ~ aElement0(X123) )
& ( aElement0(esk4_3(X122,X123,X127))
| aElementOf0(esk4_3(X122,X123,X127),X127)
| ~ aSet0(X127)
| X127 = sdtmndt0(X122,X123)
| ~ aSet0(X122)
| ~ aElement0(X123) )
& ( aElementOf0(esk4_3(X122,X123,X127),X122)
| aElementOf0(esk4_3(X122,X123,X127),X127)
| ~ aSet0(X127)
| X127 = sdtmndt0(X122,X123)
| ~ aSet0(X122)
| ~ aElement0(X123) )
& ( esk4_3(X122,X123,X127) != X123
| aElementOf0(esk4_3(X122,X123,X127),X127)
| ~ aSet0(X127)
| X127 = sdtmndt0(X122,X123)
| ~ aSet0(X122)
| ~ aElement0(X123) ) ),
inference(distribute,[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)],[mDefDiff])])])])])]) ).
fof(i_0_51,plain,
! [X115,X116,X117,X118,X119,X120] :
( ( aSet0(X117)
| X117 != sdtpldt0(X115,X116)
| ~ aSet0(X115)
| ~ aElement0(X116) )
& ( aElement0(X118)
| ~ aElementOf0(X118,X117)
| X117 != sdtpldt0(X115,X116)
| ~ aSet0(X115)
| ~ aElement0(X116) )
& ( aElementOf0(X118,X115)
| X118 = X116
| ~ aElementOf0(X118,X117)
| X117 != sdtpldt0(X115,X116)
| ~ aSet0(X115)
| ~ aElement0(X116) )
& ( ~ aElementOf0(X119,X115)
| ~ aElement0(X119)
| aElementOf0(X119,X117)
| X117 != sdtpldt0(X115,X116)
| ~ aSet0(X115)
| ~ aElement0(X116) )
& ( X119 != X116
| ~ aElement0(X119)
| aElementOf0(X119,X117)
| X117 != sdtpldt0(X115,X116)
| ~ aSet0(X115)
| ~ aElement0(X116) )
& ( ~ aElementOf0(esk3_3(X115,X116,X120),X115)
| ~ aElement0(esk3_3(X115,X116,X120))
| ~ aElementOf0(esk3_3(X115,X116,X120),X120)
| ~ aSet0(X120)
| X120 = sdtpldt0(X115,X116)
| ~ aSet0(X115)
| ~ aElement0(X116) )
& ( esk3_3(X115,X116,X120) != X116
| ~ aElement0(esk3_3(X115,X116,X120))
| ~ aElementOf0(esk3_3(X115,X116,X120),X120)
| ~ aSet0(X120)
| X120 = sdtpldt0(X115,X116)
| ~ aSet0(X115)
| ~ aElement0(X116) )
& ( aElement0(esk3_3(X115,X116,X120))
| aElementOf0(esk3_3(X115,X116,X120),X120)
| ~ aSet0(X120)
| X120 = sdtpldt0(X115,X116)
| ~ aSet0(X115)
| ~ aElement0(X116) )
& ( aElementOf0(esk3_3(X115,X116,X120),X115)
| esk3_3(X115,X116,X120) = X116
| aElementOf0(esk3_3(X115,X116,X120),X120)
| ~ aSet0(X120)
| X120 = sdtpldt0(X115,X116)
| ~ aSet0(X115)
| ~ aElement0(X116) ) ),
inference(distribute,[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)],[mDefCons])])])])])]) ).
fof(i_0_52,plain,
! [X185,X186,X187,X188,X189] :
( ( aSet0(X186)
| X186 != slbdtrb0(X185)
| ~ aElementOf0(X185,szNzAzT0) )
& ( aElementOf0(X187,szNzAzT0)
| ~ aElementOf0(X187,X186)
| X186 != slbdtrb0(X185)
| ~ aElementOf0(X185,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X187),X185)
| ~ aElementOf0(X187,X186)
| X186 != slbdtrb0(X185)
| ~ aElementOf0(X185,szNzAzT0) )
& ( ~ aElementOf0(X188,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X188),X185)
| aElementOf0(X188,X186)
| X186 != slbdtrb0(X185)
| ~ aElementOf0(X185,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X185,X189),X189)
| ~ aElementOf0(esk9_2(X185,X189),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X185,X189)),X185)
| ~ aSet0(X189)
| X189 = slbdtrb0(X185)
| ~ aElementOf0(X185,szNzAzT0) )
& ( aElementOf0(esk9_2(X185,X189),szNzAzT0)
| aElementOf0(esk9_2(X185,X189),X189)
| ~ aSet0(X189)
| X189 = slbdtrb0(X185)
| ~ aElementOf0(X185,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X185,X189)),X185)
| aElementOf0(esk9_2(X185,X189),X189)
| ~ aSet0(X189)
| X189 = slbdtrb0(X185)
| ~ aElementOf0(X185,szNzAzT0) ) ),
inference(distribute,[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)],[mDefSeg])])])])])]) ).
fof(i_0_53,plain,
! [X155,X156,X157] :
( ~ aElementOf0(X155,szNzAzT0)
| ~ aElementOf0(X156,szNzAzT0)
| ~ aElementOf0(X157,szNzAzT0)
| ~ sdtlseqdt0(X155,X156)
| ~ sdtlseqdt0(X156,X157)
| sdtlseqdt0(X155,X157) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(i_0_54,plain,
! [X178,X179,X180,X181] :
( ( aElementOf0(X179,X178)
| X179 != szmzazxdt0(X178)
| ~ aSubsetOf0(X178,szNzAzT0)
| ~ isFinite0(X178)
| X178 = slcrc0 )
& ( ~ aElementOf0(X180,X178)
| sdtlseqdt0(X180,X179)
| X179 != szmzazxdt0(X178)
| ~ aSubsetOf0(X178,szNzAzT0)
| ~ isFinite0(X178)
| X178 = slcrc0 )
& ( aElementOf0(esk8_2(X178,X181),X178)
| ~ aElementOf0(X181,X178)
| X181 = szmzazxdt0(X178)
| ~ aSubsetOf0(X178,szNzAzT0)
| ~ isFinite0(X178)
| X178 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X178,X181),X181)
| ~ aElementOf0(X181,X178)
| X181 = szmzazxdt0(X178)
| ~ aSubsetOf0(X178,szNzAzT0)
| ~ isFinite0(X178)
| X178 = slcrc0 ) ),
inference(distribute,[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)],[mDefMax])])])])])]) ).
fof(i_0_55,plain,
! [X183,X184] :
( ~ aSubsetOf0(X183,szNzAzT0)
| ~ aSubsetOf0(X184,szNzAzT0)
| X183 = slcrc0
| X184 = slcrc0
| ~ aElementOf0(szmzizndt0(X183),X184)
| ~ aElementOf0(szmzizndt0(X184),X183)
| szmzizndt0(X183) = szmzizndt0(X184) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMinMin])]) ).
fof(i_0_56,plain,
! [X173,X174,X175,X176] :
( ( aElementOf0(X174,X173)
| X174 != szmzizndt0(X173)
| ~ aSubsetOf0(X173,szNzAzT0)
| X173 = slcrc0 )
& ( ~ aElementOf0(X175,X173)
| sdtlseqdt0(X174,X175)
| X174 != szmzizndt0(X173)
| ~ aSubsetOf0(X173,szNzAzT0)
| X173 = slcrc0 )
& ( aElementOf0(esk7_2(X173,X176),X173)
| ~ aElementOf0(X176,X173)
| X176 = szmzizndt0(X173)
| ~ aSubsetOf0(X173,szNzAzT0)
| X173 = slcrc0 )
& ( ~ sdtlseqdt0(X176,esk7_2(X173,X176))
| ~ aElementOf0(X176,X173)
| X176 = szmzizndt0(X173)
| ~ aSubsetOf0(X173,szNzAzT0)
| X173 = slcrc0 ) ),
inference(distribute,[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)],[mDefMin])])])])])]) ).
fof(i_0_57,plain,
! [X170,X171] :
( ( aSubsetOf0(esk6_2(X170,X171),X170)
| ~ isFinite0(X170)
| ~ sdtlseqdt0(X171,sbrdtbr0(X170))
| ~ aSet0(X170)
| ~ aElementOf0(X171,szNzAzT0) )
& ( sbrdtbr0(esk6_2(X170,X171)) = X171
| ~ isFinite0(X170)
| ~ sdtlseqdt0(X171,sbrdtbr0(X170))
| ~ aSet0(X170)
| ~ aElementOf0(X171,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])]) ).
fof(i_0_58,plain,
! [X166,X167] :
( ~ aSet0(X166)
| ~ isFinite0(X166)
| ~ aElementOf0(X167,X166)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X166,X167))) = sbrdtbr0(X166) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])]) ).
fof(i_0_59,plain,
! [X149,X150] :
( ( ~ sdtlseqdt0(X149,X150)
| sdtlseqdt0(szszuzczcdt0(X149),szszuzczcdt0(X150))
| ~ aElementOf0(X149,szNzAzT0)
| ~ aElementOf0(X150,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X149),szszuzczcdt0(X150))
| sdtlseqdt0(X149,X150)
| ~ aElementOf0(X149,szNzAzT0)
| ~ aElementOf0(X150,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(i_0_60,plain,
! [X102,X103,X104,X105] :
( ( aSet0(X103)
| ~ aSubsetOf0(X103,X102)
| ~ aSet0(X102) )
& ( ~ aElementOf0(X104,X103)
| aElementOf0(X104,X102)
| ~ aSubsetOf0(X103,X102)
| ~ aSet0(X102) )
& ( aElementOf0(esk2_2(X102,X105),X105)
| ~ aSet0(X105)
| aSubsetOf0(X105,X102)
| ~ aSet0(X102) )
& ( ~ aElementOf0(esk2_2(X102,X105),X102)
| ~ aSet0(X105)
| aSubsetOf0(X105,X102)
| ~ aSet0(X102) ) ),
inference(distribute,[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)],[mDefSub])])])])])]) ).
fof(i_0_61,plain,
! [X153,X154] :
( ~ aElementOf0(X153,szNzAzT0)
| ~ aElementOf0(X154,szNzAzT0)
| ~ sdtlseqdt0(X153,X154)
| ~ sdtlseqdt0(X154,X153)
| X153 = X154 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(i_0_62,plain,
! [X112,X113,X114] :
( ~ aSet0(X112)
| ~ aSet0(X113)
| ~ aSet0(X114)
| ~ aSubsetOf0(X112,X113)
| ~ aSubsetOf0(X113,X114)
| aSubsetOf0(X112,X114) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(i_0_63,plain,
! [X164,X165] :
( ~ aSet0(X164)
| ~ isFinite0(X164)
| ~ aElement0(X165)
| aElementOf0(X165,X164)
| sbrdtbr0(sdtpldt0(X164,X165)) = szszuzczcdt0(sbrdtbr0(X164)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_46])])]) ).
fof(i_0_64,plain,
! [X158,X159] :
( ~ aElementOf0(X158,szNzAzT0)
| ~ aElementOf0(X159,szNzAzT0)
| sdtlseqdt0(X158,X159)
| sdtlseqdt0(szszuzczcdt0(X159),X158) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(i_0_65,plain,
! [X129,X130] :
( ~ aSet0(X129)
| ~ aElementOf0(X130,X129)
| sdtpldt0(sdtmndt0(X129,X130),X130) = X129 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
fof(i_0_66,plain,
! [X131,X132] :
( ~ aElement0(X131)
| ~ aSet0(X132)
| aElementOf0(X131,X132)
| sdtmndt0(sdtpldt0(X132,X131),X131) = X132 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_47])]) ).
fof(i_0_67,plain,
! [X168,X169] :
( ~ aSet0(X168)
| ~ isFinite0(X168)
| ~ aSubsetOf0(X169,X168)
| sdtlseqdt0(sbrdtbr0(X169),sbrdtbr0(X168)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
fof(i_0_68,plain,
! [X110,X111] :
( ~ aSet0(X110)
| ~ aSet0(X111)
| ~ aSubsetOf0(X110,X111)
| ~ aSubsetOf0(X111,X110)
| X110 = X111 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
fof(i_0_69,plain,
! [X142,X143] :
( ~ aElementOf0(X142,szNzAzT0)
| ~ aElementOf0(X143,szNzAzT0)
| szszuzczcdt0(X142) != szszuzczcdt0(X143)
| X142 = X143 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(i_0_70,plain,
! [X135,X136] :
( ~ aElement0(X135)
| ~ aSet0(X136)
| ~ isCountable0(X136)
| isCountable0(sdtmndt0(X136,X135)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])]) ).
fof(i_0_71,plain,
! [X133,X134] :
( ~ aElement0(X133)
| ~ aSet0(X134)
| ~ isCountable0(X134)
| isCountable0(sdtpldt0(X134,X133)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])]) ).
fof(i_0_72,plain,
! [X139,X140] :
( ~ aElement0(X139)
| ~ aSet0(X140)
| ~ isFinite0(X140)
| isFinite0(sdtmndt0(X140,X139)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
fof(i_0_73,plain,
! [X137,X138] :
( ~ aElement0(X137)
| ~ aSet0(X138)
| ~ isFinite0(X138)
| isFinite0(sdtpldt0(X138,X137)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])]) ).
fof(i_0_74,plain,
! [X148] :
( ~ aElementOf0(X148,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X148),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_48])]) ).
fof(i_0_75,plain,
! [X107,X108] :
( ~ aSet0(X107)
| ~ isFinite0(X107)
| ~ aSubsetOf0(X108,X107)
| isFinite0(X108) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
fof(i_0_76,plain,
! [X162] :
( ( ~ aElementOf0(sbrdtbr0(X162),szNzAzT0)
| isFinite0(X162)
| ~ aSet0(X162) )
& ( ~ isFinite0(X162)
| aElementOf0(sbrdtbr0(X162),szNzAzT0)
| ~ aSet0(X162) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(i_0_77,plain,
! [X144] :
( ( aElementOf0(esk5_1(X144),szNzAzT0)
| X144 = sz00
| ~ aElementOf0(X144,szNzAzT0) )
& ( X144 = szszuzczcdt0(esk5_1(X144))
| X144 = sz00
| ~ aElementOf0(X144,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
fof(i_0_78,plain,
! [X160] :
( ~ aElementOf0(X160,szNzAzT0)
| iLess0(X160,szszuzczcdt0(X160)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_79,plain,
! [X151] :
( ~ aElementOf0(X151,szNzAzT0)
| sdtlseqdt0(X151,szszuzczcdt0(X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_80,plain,
! [X141] :
( ( aElementOf0(szszuzczcdt0(X141),szNzAzT0)
| ~ aElementOf0(X141,szNzAzT0) )
& ( szszuzczcdt0(X141) != sz00
| ~ aElementOf0(X141,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(i_0_81,plain,
! [X152] :
( ~ aElementOf0(X152,szNzAzT0)
| sdtlseqdt0(X152,X152) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_82,plain,
! [X94,X95] :
( ~ aSet0(X94)
| ~ aElementOf0(X95,X94)
| aElement0(X95) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_83,plain,
! [X147] :
( ~ aElementOf0(X147,szNzAzT0)
| sdtlseqdt0(sz00,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_84,plain,
! [X191] :
( ~ aElementOf0(X191,szNzAzT0)
| isFinite0(slbdtrb0(X191)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_85,plain,
! [X96,X97,X98] :
( ( aSet0(X96)
| X96 != slcrc0 )
& ( ~ aElementOf0(X97,X96)
| X96 != slcrc0 )
& ( ~ aSet0(X98)
| aElementOf0(esk1_1(X98),X98)
| X98 = slcrc0 ) ),
inference(distribute,[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)],[mDefEmp])])])])])]) ).
fof(i_0_86,plain,
! [X146] :
( ~ aElementOf0(X146,szNzAzT0)
| X146 != szszuzczcdt0(X146) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_87,plain,
! [X109] :
( ~ aSet0(X109)
| aSubsetOf0(X109,X109) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_88,plain,
! [X100] :
( ~ aSet0(X100)
| ~ isCountable0(X100)
| ~ isFinite0(X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_49])]) ).
fof(i_0_89,plain,
! [X161] :
( ~ aSet0(X161)
| aElement0(sbrdtbr0(X161)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_90,plain,
! [X101] :
( ~ aSet0(X101)
| ~ isCountable0(X101)
| X101 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_91,plain,
! [X163] :
( ( sbrdtbr0(X163) != sz00
| X163 = slcrc0
| ~ aSet0(X163) )
& ( X163 != slcrc0
| sbrdtbr0(X163) = sz00
| ~ aSet0(X163) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
fof(i_0_92,negated_conjecture,
slbdtrb0(sz00) != slcrc0,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(i_0_93,plain,
( esk4_3(X1,X2,X3) = X2
| X3 = sdtmndt0(X1,X2)
| ~ aElementOf0(esk4_3(X1,X2,X3),X3)
| ~ aElement0(esk4_3(X1,X2,X3))
| ~ aElementOf0(esk4_3(X1,X2,X3),X1)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_94,plain,
( X3 = sdtpldt0(X1,X2)
| ~ aElementOf0(esk3_3(X1,X2,X3),X1)
| ~ aElement0(esk3_3(X1,X2,X3))
| ~ aElementOf0(esk3_3(X1,X2,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_95,plain,
( X3 = sdtpldt0(X1,X2)
| esk3_3(X1,X2,X3) != X2
| ~ aElement0(esk3_3(X1,X2,X3))
| ~ aElementOf0(esk3_3(X1,X2,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_96,plain,
( aElementOf0(esk3_3(X1,X2,X3),X1)
| esk3_3(X1,X2,X3) = X2
| aElementOf0(esk3_3(X1,X2,X3),X3)
| X3 = sdtpldt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_97,plain,
( aElementOf0(esk4_3(X1,X2,X3),X1)
| aElementOf0(esk4_3(X1,X2,X3),X3)
| X3 = sdtmndt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_98,plain,
( X2 = slbdtrb0(X1)
| ~ aElementOf0(esk9_2(X1,X2),X2)
| ~ aElementOf0(esk9_2(X1,X2),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X1,X2)),X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_99,plain,
( aElement0(esk4_3(X1,X2,X3))
| aElementOf0(esk4_3(X1,X2,X3),X3)
| X3 = sdtmndt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_100,plain,
( aElement0(esk3_3(X1,X2,X3))
| aElementOf0(esk3_3(X1,X2,X3),X3)
| X3 = sdtpldt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_101,plain,
( aElementOf0(esk4_3(X1,X2,X3),X3)
| X3 = sdtmndt0(X1,X2)
| esk4_3(X1,X2,X3) != X2
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_102,plain,
( sdtlseqdt0(szszuzczcdt0(esk9_2(X1,X2)),X1)
| aElementOf0(esk9_2(X1,X2),X2)
| X2 = slbdtrb0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_103,plain,
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_104,plain,
( X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ sdtlseqdt0(esk8_2(X1,X2),X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_105,plain,
( X1 = slcrc0
| X2 = slcrc0
| szmzizndt0(X1) = szmzizndt0(X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),X2)
| ~ aElementOf0(szmzizndt0(X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_106,plain,
( X1 = szmzizndt0(X2)
| X2 = slcrc0
| ~ sdtlseqdt0(X1,esk7_2(X2,X1))
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_107,plain,
( aElementOf0(esk9_2(X1,X2),szNzAzT0)
| aElementOf0(esk9_2(X1,X2),X2)
| X2 = slbdtrb0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_108,plain,
( aSubsetOf0(esk6_2(X1,X2),X1)
| ~ isFinite0(X1)
| ~ sdtlseqdt0(X2,sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_109,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_110,plain,
( sbrdtbr0(esk6_2(X1,X2)) = X2
| ~ isFinite0(X1)
| ~ sdtlseqdt0(X2,sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_111,plain,
( aElementOf0(esk8_2(X1,X2),X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_112,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_113,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_114,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_115,plain,
( aElementOf0(esk7_2(X1,X2),X1)
| X2 = szmzizndt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_116,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_117,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_118,plain,
( X1 = X3
| aElementOf0(X1,X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X2)
| X4 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_119,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_120,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_121,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_122,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_123,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_124,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_125,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_126,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_127,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_128,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_129,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_130,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_131,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_132,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_133,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_134,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_135,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_136,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_137,plain,
( aElementOf0(X1,X3)
| X1 != X2
| ~ aElement0(X1)
| X3 != sdtpldt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_138,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_139,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_140,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_141,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_142,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_143,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_144,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_145,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_146,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_147,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_148,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_149,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_150,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_151,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_152,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_153,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_154,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_155,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_156,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_157,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_158,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_159,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_160,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_161,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_162,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_163,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_164,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_165,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_166,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_167,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_168,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_169,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_170,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_171,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_172,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_173,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_174,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_175,negated_conjecture,
slbdtrb0(sz00) != slcrc0,
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_176,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_177,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_178,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_179,axiom,
X1 = X1 ).
cnf(i_0_180,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_181,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_182,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_200,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_201,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_202,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_203,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_204,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_205,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_206,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_207,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_208,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_179_001,axiom,
X1 = X1 ).
cnf(i_0_180_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_181_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_182_004,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_183_005,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_184_006,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_185_007,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_186_008,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_187_009,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_188_010,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_189_011,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_190_012,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_191_013,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_192_014,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_193_015,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_194_016,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_195_017,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_196_018,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_197_019,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_198_020,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_199_021,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_200_022,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_201_023,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_202_024,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_203_025,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_204_026,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_205_027,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_206_028,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_207_029,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_208_030,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_209,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[113]) ).
cnf(i_0_210,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| X1 = X3
| aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[118]) ).
cnf(i_0_211,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[119]) ).
cnf(i_0_212,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| X3 = X2
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[121]) ).
cnf(i_0_213,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[124]) ).
cnf(i_0_214,plain,
( ~ aElementOf0(X1,X2)
| ~ isFinite0(X2)
| sdtlseqdt0(X1,szmzazxdt0(X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[125]) ).
cnf(i_0_215,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[126]) ).
cnf(i_0_216,plain,
( ~ aElementOf0(X1,X2)
| sdtlseqdt0(szmzizndt0(X2),X1)
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[130]) ).
cnf(i_0_217,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[132]) ).
cnf(i_0_218,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[133]) ).
cnf(i_0_219,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[135]) ).
cnf(i_0_220,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[139]) ).
cnf(i_0_221,plain,
( ~ isFinite0(X1)
| aElementOf0(szmzazxdt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[144]) ).
cnf(i_0_222,plain,
( aElementOf0(szmzizndt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[146]) ).
cnf(i_0_223,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[147]) ).
cnf(i_0_224,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[148]) ).
cnf(i_0_225,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[159]) ).
cnf(i_0_226,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[166]) ).
cnf(i_0_227,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_inference,[],[170]) ).
cnf(i_0_228,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_inference,[],[172]) ).
cnf(i_0_229,plain,
aSet0(slcrc0),
inference(equality_inference,[],[174]) ).
cnf(i_0_230,plain,
~ isCountable0(slcrc0),
inference(scs_inference,[],[i_0_229,i_0_227]) ).
cnf(i_0_231,plain,
sbrdtbr0(slcrc0) = sz00,
inference(scs_inference,[],[i_0_229,i_0_228]) ).
cnf(i_0_232,plain,
iLess0(sz00,szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_173,i_0_152]) ).
cnf(i_0_233,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_234,plain,
sdtlseqdt0(sz00,szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_173,i_0_152,i_0_153]) ).
cnf(i_0_235,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_236,plain,
sdtlseqdt0(sz00,sz00),
inference(scs_inference,[],[i_0_173,i_0_152,i_0_153,i_0_155]) ).
cnf(i_0_237,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(rename_variables,[],[i_0_155]) ).
cnf(i_0_238,plain,
aSubsetOf0(szNzAzT0,szNzAzT0),
inference(scs_inference,[],[i_0_173,i_0_178,i_0_152,i_0_153,i_0_155,i_0_167]) ).
cnf(i_0_239,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_240,plain,
aSet0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_173,i_0_178,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225]) ).
cnf(i_0_241,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_242,plain,
aElementOf0(esk1_1(slbdtrb0(sz00)),slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_175,i_0_173,i_0_178,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163]) ).
cnf(i_0_243,plain,
( X1 = slcrc0
| aElementOf0(esk1_1(X1),X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_244,plain,
szNzAzT0 != slcrc0,
inference(scs_inference,[],[i_0_175,i_0_226,i_0_173,i_0_178,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163,i_0_198]) ).
cnf(i_0_245,plain,
~ aElementOf0(X1,slcrc0),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_246,plain,
aElement0(sz00),
inference(scs_inference,[],[i_0_175,i_0_226,i_0_173,i_0_178,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163,i_0_198,i_0_156]) ).
cnf(i_0_247,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_248,plain,
~ isFinite0(szNzAzT0),
inference(scs_inference,[],[i_0_175,i_0_226,i_0_173,i_0_176,i_0_178,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163,i_0_198,i_0_156,i_0_168]) ).
cnf(i_0_249,plain,
( ~ isCountable0(X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_168]) ).
cnf(i_0_250,plain,
sdtlseqdt0(szszuzczcdt0(esk1_1(slbdtrb0(sz00))),sz00),
inference(scs_inference,[],[i_0_175,i_0_226,i_0_173,i_0_176,i_0_178,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163,i_0_198,i_0_156,i_0_168,i_0_215]) ).
cnf(i_0_251,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_252,plain,
aElementOf0(esk1_1(slbdtrb0(sz00)),szNzAzT0),
inference(scs_inference,[],[i_0_175,i_0_226,i_0_173,i_0_176,i_0_178,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163,i_0_198,i_0_156,i_0_168,i_0_215,i_0_219]) ).
cnf(i_0_253,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_219]) ).
cnf(i_0_254,plain,
sdtlseqdt0(szmzizndt0(szNzAzT0),sz00),
inference(scs_inference,[],[i_0_175,i_0_226,i_0_173,i_0_176,i_0_178,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163,i_0_198,i_0_156,i_0_168,i_0_215,i_0_219,i_0_216]) ).
cnf(i_0_255,plain,
( ~ aSubsetOf0(X1,szNzAzT0)
| X1 = slcrc0
| sdtlseqdt0(szmzizndt0(X1),X2)
| ~ aElementOf0(X2,X1) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_256,plain,
sdtlseqdt0(szszuzczcdt0(sz00),szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_175,i_0_226,i_0_173,i_0_176,i_0_178,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163,i_0_198,i_0_156,i_0_168,i_0_215,i_0_219,i_0_216,i_0_116]) ).
cnf(i_0_257,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_258,plain,
aSubsetOf0(slcrc0,szNzAzT0),
inference(scs_inference,[],[i_0_175,i_0_226,i_0_245,i_0_173,i_0_176,i_0_178,i_0_229,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163,i_0_198,i_0_156,i_0_168,i_0_215,i_0_219,i_0_216,i_0_116,i_0_129]) ).
cnf(i_0_259,plain,
~ aElementOf0(X1,slcrc0),
inference(rename_variables,[],[i_0_226]) ).
cnf(i_0_260,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_261,plain,
~ aSubsetOf0(szNzAzT0,slcrc0),
inference(scs_inference,[],[i_0_175,i_0_226,i_0_245,i_0_173,i_0_176,i_0_177,i_0_178,i_0_229,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163,i_0_198,i_0_156,i_0_168,i_0_215,i_0_219,i_0_216,i_0_116,i_0_129,i_0_149]) ).
cnf(i_0_262,plain,
( ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1)
| isFinite0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_263,plain,
$false,
inference(scs_inference,[],[i_0_175,i_0_226,i_0_245,i_0_173,i_0_176,i_0_177,i_0_178,i_0_229,i_0_152,i_0_153,i_0_155,i_0_167,i_0_225,i_0_163,i_0_198,i_0_156,i_0_168,i_0_215,i_0_219,i_0_216,i_0_116,i_0_129,i_0_149,i_0_145]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : NUM540+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Tue May 5 00:43:46 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 0.14/1.51 % Version : CSE_E---1.7
% 0.14/1.51 % Problem : theBenchmark.p
% 0.14/1.51 % SZS status Theorem for theBenchmark.p
% 0.14/1.51 % SZS output start CNFRefutation
% See solution above
% 0.14/1.58 % Total time : 1.261s
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