%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM547+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 : n028.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 04:57:46 PM UTC 2026
% Result : Theorem 0.36s 1.62s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 150)
% 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(mSelNSet,axiom,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelNSet) ).
fof(m__,conjecture,
? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
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(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
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(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
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(mSelCSet,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ! [X2] :
( ( aElementOf0(X2,szNzAzT0)
& X2 != sz00 )
=> isCountable0(slbdtsldtrb0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelCSet) ).
fof(mSelFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelFSet) ).
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(mFinSubSeg,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aSubsetOf0(X1,slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
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(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
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__2227,hypothesis,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& slbdtsldtrb0(xS,xk) != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
fof(m__2256,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2256) ).
fof(m__2202,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
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(m__2202_02,hypothesis,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(i_0_59,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_60,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_61,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
inference(fof_simplification,[status(thm)],[mSelNSet]) ).
fof(i_0_62,negated_conjecture,
~ ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_63,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(i_0_64,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(i_0_65,plain,
! [X140,X141,X142,X143,X144,X145] :
( ( aSet0(X142)
| X142 != sdtmndt0(X140,X141)
| ~ aSet0(X140)
| ~ aElement0(X141) )
& ( aElement0(X143)
| ~ aElementOf0(X143,X142)
| X142 != sdtmndt0(X140,X141)
| ~ aSet0(X140)
| ~ aElement0(X141) )
& ( aElementOf0(X143,X140)
| ~ aElementOf0(X143,X142)
| X142 != sdtmndt0(X140,X141)
| ~ aSet0(X140)
| ~ aElement0(X141) )
& ( X143 != X141
| ~ aElementOf0(X143,X142)
| X142 != sdtmndt0(X140,X141)
| ~ aSet0(X140)
| ~ aElement0(X141) )
& ( ~ aElement0(X144)
| ~ aElementOf0(X144,X140)
| X144 = X141
| aElementOf0(X144,X142)
| X142 != sdtmndt0(X140,X141)
| ~ aSet0(X140)
| ~ aElement0(X141) )
& ( ~ aElementOf0(esk4_3(X140,X141,X145),X145)
| ~ aElement0(esk4_3(X140,X141,X145))
| ~ aElementOf0(esk4_3(X140,X141,X145),X140)
| esk4_3(X140,X141,X145) = X141
| ~ aSet0(X145)
| X145 = sdtmndt0(X140,X141)
| ~ aSet0(X140)
| ~ aElement0(X141) )
& ( aElement0(esk4_3(X140,X141,X145))
| aElementOf0(esk4_3(X140,X141,X145),X145)
| ~ aSet0(X145)
| X145 = sdtmndt0(X140,X141)
| ~ aSet0(X140)
| ~ aElement0(X141) )
& ( aElementOf0(esk4_3(X140,X141,X145),X140)
| aElementOf0(esk4_3(X140,X141,X145),X145)
| ~ aSet0(X145)
| X145 = sdtmndt0(X140,X141)
| ~ aSet0(X140)
| ~ aElement0(X141) )
& ( esk4_3(X140,X141,X145) != X141
| aElementOf0(esk4_3(X140,X141,X145),X145)
| ~ aSet0(X145)
| X145 = sdtmndt0(X140,X141)
| ~ aSet0(X140)
| ~ aElement0(X141) ) ),
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_66,plain,
! [X217,X218,X219,X220,X221,X222] :
( ( aSet0(X219)
| X219 != slbdtsldtrb0(X217,X218)
| ~ aSet0(X217)
| ~ aElementOf0(X218,szNzAzT0) )
& ( aSubsetOf0(X220,X217)
| ~ aElementOf0(X220,X219)
| X219 != slbdtsldtrb0(X217,X218)
| ~ aSet0(X217)
| ~ aElementOf0(X218,szNzAzT0) )
& ( sbrdtbr0(X220) = X218
| ~ aElementOf0(X220,X219)
| X219 != slbdtsldtrb0(X217,X218)
| ~ aSet0(X217)
| ~ aElementOf0(X218,szNzAzT0) )
& ( ~ aSubsetOf0(X221,X217)
| sbrdtbr0(X221) != X218
| aElementOf0(X221,X219)
| X219 != slbdtsldtrb0(X217,X218)
| ~ aSet0(X217)
| ~ aElementOf0(X218,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X217,X218,X222),X222)
| ~ aSubsetOf0(esk11_3(X217,X218,X222),X217)
| sbrdtbr0(esk11_3(X217,X218,X222)) != X218
| ~ aSet0(X222)
| X222 = slbdtsldtrb0(X217,X218)
| ~ aSet0(X217)
| ~ aElementOf0(X218,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X217,X218,X222),X217)
| aElementOf0(esk11_3(X217,X218,X222),X222)
| ~ aSet0(X222)
| X222 = slbdtsldtrb0(X217,X218)
| ~ aSet0(X217)
| ~ aElementOf0(X218,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X217,X218,X222)) = X218
| aElementOf0(esk11_3(X217,X218,X222),X222)
| ~ aSet0(X222)
| X222 = slbdtsldtrb0(X217,X218)
| ~ aSet0(X217)
| ~ aElementOf0(X218,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)],[mDefSel])])])])])]) ).
fof(i_0_67,plain,
! [X133,X134,X135,X136,X137,X138] :
( ( aSet0(X135)
| X135 != sdtpldt0(X133,X134)
| ~ aSet0(X133)
| ~ aElement0(X134) )
& ( aElement0(X136)
| ~ aElementOf0(X136,X135)
| X135 != sdtpldt0(X133,X134)
| ~ aSet0(X133)
| ~ aElement0(X134) )
& ( aElementOf0(X136,X133)
| X136 = X134
| ~ aElementOf0(X136,X135)
| X135 != sdtpldt0(X133,X134)
| ~ aSet0(X133)
| ~ aElement0(X134) )
& ( ~ aElementOf0(X137,X133)
| ~ aElement0(X137)
| aElementOf0(X137,X135)
| X135 != sdtpldt0(X133,X134)
| ~ aSet0(X133)
| ~ aElement0(X134) )
& ( X137 != X134
| ~ aElement0(X137)
| aElementOf0(X137,X135)
| X135 != sdtpldt0(X133,X134)
| ~ aSet0(X133)
| ~ aElement0(X134) )
& ( ~ aElementOf0(esk3_3(X133,X134,X138),X133)
| ~ aElement0(esk3_3(X133,X134,X138))
| ~ aElementOf0(esk3_3(X133,X134,X138),X138)
| ~ aSet0(X138)
| X138 = sdtpldt0(X133,X134)
| ~ aSet0(X133)
| ~ aElement0(X134) )
& ( esk3_3(X133,X134,X138) != X134
| ~ aElement0(esk3_3(X133,X134,X138))
| ~ aElementOf0(esk3_3(X133,X134,X138),X138)
| ~ aSet0(X138)
| X138 = sdtpldt0(X133,X134)
| ~ aSet0(X133)
| ~ aElement0(X134) )
& ( aElement0(esk3_3(X133,X134,X138))
| aElementOf0(esk3_3(X133,X134,X138),X138)
| ~ aSet0(X138)
| X138 = sdtpldt0(X133,X134)
| ~ aSet0(X133)
| ~ aElement0(X134) )
& ( aElementOf0(esk3_3(X133,X134,X138),X133)
| esk3_3(X133,X134,X138) = X134
| aElementOf0(esk3_3(X133,X134,X138),X138)
| ~ aSet0(X138)
| X138 = sdtpldt0(X133,X134)
| ~ aSet0(X133)
| ~ aElement0(X134) ) ),
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_68,plain,
! [X203,X204,X205,X206,X207] :
( ( aSet0(X204)
| X204 != slbdtrb0(X203)
| ~ aElementOf0(X203,szNzAzT0) )
& ( aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X205,X204)
| X204 != slbdtrb0(X203)
| ~ aElementOf0(X203,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X205),X203)
| ~ aElementOf0(X205,X204)
| X204 != slbdtrb0(X203)
| ~ aElementOf0(X203,szNzAzT0) )
& ( ~ aElementOf0(X206,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X206),X203)
| aElementOf0(X206,X204)
| X204 != slbdtrb0(X203)
| ~ aElementOf0(X203,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X203,X207),X207)
| ~ aElementOf0(esk9_2(X203,X207),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X203,X207)),X203)
| ~ aSet0(X207)
| X207 = slbdtrb0(X203)
| ~ aElementOf0(X203,szNzAzT0) )
& ( aElementOf0(esk9_2(X203,X207),szNzAzT0)
| aElementOf0(esk9_2(X203,X207),X207)
| ~ aSet0(X207)
| X207 = slbdtrb0(X203)
| ~ aElementOf0(X203,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X203,X207)),X203)
| aElementOf0(esk9_2(X203,X207),X207)
| ~ aSet0(X207)
| X207 = slbdtrb0(X203)
| ~ aElementOf0(X203,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_69,plain,
! [X173,X174,X175] :
( ~ aElementOf0(X173,szNzAzT0)
| ~ aElementOf0(X174,szNzAzT0)
| ~ aElementOf0(X175,szNzAzT0)
| ~ sdtlseqdt0(X173,X174)
| ~ sdtlseqdt0(X174,X175)
| sdtlseqdt0(X173,X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(i_0_70,plain,
! [X196,X197,X198,X199] :
( ( aElementOf0(X197,X196)
| X197 != szmzazxdt0(X196)
| ~ aSubsetOf0(X196,szNzAzT0)
| ~ isFinite0(X196)
| X196 = slcrc0 )
& ( ~ aElementOf0(X198,X196)
| sdtlseqdt0(X198,X197)
| X197 != szmzazxdt0(X196)
| ~ aSubsetOf0(X196,szNzAzT0)
| ~ isFinite0(X196)
| X196 = slcrc0 )
& ( aElementOf0(esk8_2(X196,X199),X196)
| ~ aElementOf0(X199,X196)
| X199 = szmzazxdt0(X196)
| ~ aSubsetOf0(X196,szNzAzT0)
| ~ isFinite0(X196)
| X196 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X196,X199),X199)
| ~ aElementOf0(X199,X196)
| X199 = szmzazxdt0(X196)
| ~ aSubsetOf0(X196,szNzAzT0)
| ~ isFinite0(X196)
| X196 = 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_71,plain,
! [X201,X202] :
( ~ aSubsetOf0(X201,szNzAzT0)
| ~ aSubsetOf0(X202,szNzAzT0)
| X201 = slcrc0
| X202 = slcrc0
| ~ aElementOf0(szmzizndt0(X201),X202)
| ~ aElementOf0(szmzizndt0(X202),X201)
| szmzizndt0(X201) = szmzizndt0(X202) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMinMin])]) ).
fof(i_0_72,plain,
! [X210,X211] :
( ( ~ aElementOf0(X210,slbdtrb0(szszuzczcdt0(X211)))
| aElementOf0(X210,slbdtrb0(X211))
| X210 = X211
| ~ aElementOf0(X210,szNzAzT0)
| ~ aElementOf0(X211,szNzAzT0) )
& ( ~ aElementOf0(X210,slbdtrb0(X211))
| aElementOf0(X210,slbdtrb0(szszuzczcdt0(X211)))
| ~ aElementOf0(X210,szNzAzT0)
| ~ aElementOf0(X211,szNzAzT0) )
& ( X210 != X211
| aElementOf0(X210,slbdtrb0(szszuzczcdt0(X211)))
| ~ aElementOf0(X210,szNzAzT0)
| ~ aElementOf0(X211,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
fof(i_0_73,plain,
! [X191,X192,X193,X194] :
( ( aElementOf0(X192,X191)
| X192 != szmzizndt0(X191)
| ~ aSubsetOf0(X191,szNzAzT0)
| X191 = slcrc0 )
& ( ~ aElementOf0(X193,X191)
| sdtlseqdt0(X192,X193)
| X192 != szmzizndt0(X191)
| ~ aSubsetOf0(X191,szNzAzT0)
| X191 = slcrc0 )
& ( aElementOf0(esk7_2(X191,X194),X191)
| ~ aElementOf0(X194,X191)
| X194 = szmzizndt0(X191)
| ~ aSubsetOf0(X191,szNzAzT0)
| X191 = slcrc0 )
& ( ~ sdtlseqdt0(X194,esk7_2(X191,X194))
| ~ aElementOf0(X194,X191)
| X194 = szmzizndt0(X191)
| ~ aSubsetOf0(X191,szNzAzT0)
| X191 = 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_74,plain,
! [X188,X189] :
( ( aSubsetOf0(esk6_2(X188,X189),X188)
| ~ isFinite0(X188)
| ~ sdtlseqdt0(X189,sbrdtbr0(X188))
| ~ aSet0(X188)
| ~ aElementOf0(X189,szNzAzT0) )
& ( sbrdtbr0(esk6_2(X188,X189)) = X189
| ~ isFinite0(X188)
| ~ sdtlseqdt0(X189,sbrdtbr0(X188))
| ~ aSet0(X188)
| ~ aElementOf0(X189,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])]) ).
fof(i_0_75,plain,
! [X184,X185] :
( ~ aSet0(X184)
| ~ isFinite0(X184)
| ~ aElementOf0(X185,X184)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X184,X185))) = sbrdtbr0(X184) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])]) ).
fof(i_0_76,plain,
! [X167,X168] :
( ( ~ sdtlseqdt0(X167,X168)
| sdtlseqdt0(szszuzczcdt0(X167),szszuzczcdt0(X168))
| ~ aElementOf0(X167,szNzAzT0)
| ~ aElementOf0(X168,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X167),szszuzczcdt0(X168))
| sdtlseqdt0(X167,X168)
| ~ aElementOf0(X167,szNzAzT0)
| ~ aElementOf0(X168,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(i_0_77,plain,
! [X212,X213] :
( ( ~ sdtlseqdt0(X212,X213)
| aSubsetOf0(slbdtrb0(X212),slbdtrb0(X213))
| ~ aElementOf0(X212,szNzAzT0)
| ~ aElementOf0(X213,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X212),slbdtrb0(X213))
| sdtlseqdt0(X212,X213)
| ~ aElementOf0(X212,szNzAzT0)
| ~ aElementOf0(X213,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
fof(i_0_78,plain,
! [X120,X121,X122,X123] :
( ( aSet0(X121)
| ~ aSubsetOf0(X121,X120)
| ~ aSet0(X120) )
& ( ~ aElementOf0(X122,X121)
| aElementOf0(X122,X120)
| ~ aSubsetOf0(X121,X120)
| ~ aSet0(X120) )
& ( aElementOf0(esk2_2(X120,X123),X123)
| ~ aSet0(X123)
| aSubsetOf0(X123,X120)
| ~ aSet0(X120) )
& ( ~ aElementOf0(esk2_2(X120,X123),X120)
| ~ aSet0(X123)
| aSubsetOf0(X123,X120)
| ~ aSet0(X120) ) ),
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_79,plain,
! [X171,X172] :
( ~ aElementOf0(X171,szNzAzT0)
| ~ aElementOf0(X172,szNzAzT0)
| ~ sdtlseqdt0(X171,X172)
| ~ sdtlseqdt0(X172,X171)
| X171 = X172 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(i_0_80,plain,
! [X130,X131,X132] :
( ~ aSet0(X130)
| ~ aSet0(X131)
| ~ aSet0(X132)
| ~ aSubsetOf0(X130,X131)
| ~ aSubsetOf0(X131,X132)
| aSubsetOf0(X130,X132) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(i_0_81,plain,
! [X182,X183] :
( ~ aSet0(X182)
| ~ isFinite0(X182)
| ~ aElement0(X183)
| aElementOf0(X183,X182)
| sbrdtbr0(sdtpldt0(X182,X183)) = szszuzczcdt0(sbrdtbr0(X182)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_59])])]) ).
fof(i_0_82,plain,
! [X176,X177] :
( ~ aElementOf0(X176,szNzAzT0)
| ~ aElementOf0(X177,szNzAzT0)
| sdtlseqdt0(X176,X177)
| sdtlseqdt0(szszuzczcdt0(X177),X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(i_0_83,plain,
! [X147,X148] :
( ~ aSet0(X147)
| ~ aElementOf0(X148,X147)
| sdtpldt0(sdtmndt0(X147,X148),X148) = X147 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
fof(i_0_84,plain,
! [X149,X150] :
( ~ aElement0(X149)
| ~ aSet0(X150)
| aElementOf0(X149,X150)
| sdtmndt0(sdtpldt0(X150,X149),X149) = X150 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_60])]) ).
fof(i_0_85,plain,
! [X228,X229] :
( ~ aSet0(X228)
| ~ isCountable0(X228)
| ~ aElementOf0(X229,szNzAzT0)
| X229 = sz00
| isCountable0(slbdtsldtrb0(X228,X229)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelCSet])])]) ).
fof(i_0_86,plain,
! [X224,X225] :
( ~ aSet0(X224)
| ~ isFinite0(X224)
| ~ aElementOf0(X225,szNzAzT0)
| isFinite0(slbdtsldtrb0(X224,X225)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelFSet])])]) ).
fof(i_0_87,plain,
! [X186,X187] :
( ~ aSet0(X186)
| ~ isFinite0(X186)
| ~ aSubsetOf0(X187,X186)
| sdtlseqdt0(sbrdtbr0(X187),sbrdtbr0(X186)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
fof(i_0_88,plain,
! [X128,X129] :
( ~ aSet0(X128)
| ~ aSet0(X129)
| ~ aSubsetOf0(X128,X129)
| ~ aSubsetOf0(X129,X128)
| X128 = X129 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
fof(i_0_89,plain,
! [X214] :
( ( aElementOf0(esk10_1(X214),szNzAzT0)
| ~ aSubsetOf0(X214,szNzAzT0)
| ~ isFinite0(X214) )
& ( aSubsetOf0(X214,slbdtrb0(esk10_1(X214)))
| ~ aSubsetOf0(X214,szNzAzT0)
| ~ isFinite0(X214) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFinSubSeg])])])]) ).
fof(i_0_90,plain,
! [X160,X161] :
( ~ aElementOf0(X160,szNzAzT0)
| ~ aElementOf0(X161,szNzAzT0)
| szszuzczcdt0(X160) != szszuzczcdt0(X161)
| X160 = X161 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(i_0_91,plain,
! [X226,X227] :
( ~ aSet0(X226)
| isFinite0(X226)
| ~ aElementOf0(X227,szNzAzT0)
| slbdtsldtrb0(X226,X227) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_61])])]) ).
fof(i_0_92,negated_conjecture,
! [X230] : ~ aElementOf0(X230,slbdtsldtrb0(xS,xk)),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_62])]) ).
fof(i_0_93,plain,
! [X153,X154] :
( ~ aElement0(X153)
| ~ aSet0(X154)
| ~ isCountable0(X154)
| isCountable0(sdtmndt0(X154,X153)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])]) ).
fof(i_0_94,plain,
! [X151,X152] :
( ~ aElement0(X151)
| ~ aSet0(X152)
| ~ isCountable0(X152)
| isCountable0(sdtpldt0(X152,X151)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])]) ).
fof(i_0_95,plain,
! [X157,X158] :
( ~ aElement0(X157)
| ~ aSet0(X158)
| ~ isFinite0(X158)
| isFinite0(sdtmndt0(X158,X157)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
fof(i_0_96,plain,
! [X155,X156] :
( ~ aElement0(X155)
| ~ aSet0(X156)
| ~ isFinite0(X156)
| isFinite0(sdtpldt0(X156,X155)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])]) ).
fof(i_0_97,plain,
! [X166] :
( ~ aElementOf0(X166,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X166),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_63])]) ).
fof(i_0_98,plain,
! [X125,X126] :
( ~ aSet0(X125)
| ~ isFinite0(X125)
| ~ aSubsetOf0(X126,X125)
| isFinite0(X126) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
fof(i_0_99,plain,
! [X180] :
( ( ~ aElementOf0(sbrdtbr0(X180),szNzAzT0)
| isFinite0(X180)
| ~ aSet0(X180) )
& ( ~ isFinite0(X180)
| aElementOf0(sbrdtbr0(X180),szNzAzT0)
| ~ aSet0(X180) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(i_0_100,plain,
! [X162] :
( ( aElementOf0(esk5_1(X162),szNzAzT0)
| X162 = sz00
| ~ aElementOf0(X162,szNzAzT0) )
& ( X162 = szszuzczcdt0(esk5_1(X162))
| X162 = sz00
| ~ aElementOf0(X162,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
fof(i_0_101,plain,
! [X178] :
( ~ aElementOf0(X178,szNzAzT0)
| iLess0(X178,szszuzczcdt0(X178)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_102,plain,
! [X169] :
( ~ aElementOf0(X169,szNzAzT0)
| sdtlseqdt0(X169,szszuzczcdt0(X169)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_103,plain,
! [X159] :
( ( aElementOf0(szszuzczcdt0(X159),szNzAzT0)
| ~ aElementOf0(X159,szNzAzT0) )
& ( szszuzczcdt0(X159) != sz00
| ~ aElementOf0(X159,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(i_0_104,plain,
! [X170] :
( ~ aElementOf0(X170,szNzAzT0)
| sdtlseqdt0(X170,X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_105,plain,
! [X112,X113] :
( ~ aSet0(X112)
| ~ aElementOf0(X113,X112)
| aElement0(X113) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_106,plain,
! [X165] :
( ~ aElementOf0(X165,szNzAzT0)
| sdtlseqdt0(sz00,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_107,plain,
! [X216] :
( ~ aElementOf0(X216,szNzAzT0)
| sbrdtbr0(slbdtrb0(X216)) = X216 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
fof(i_0_108,plain,
! [X209] :
( ~ aElementOf0(X209,szNzAzT0)
| isFinite0(slbdtrb0(X209)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_109,plain,
! [X114,X115,X116] :
( ( aSet0(X114)
| X114 != slcrc0 )
& ( ~ aElementOf0(X115,X114)
| X114 != slcrc0 )
& ( ~ aSet0(X116)
| aElementOf0(esk1_1(X116),X116)
| X116 = 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_110,plain,
! [X164] :
( ~ aElementOf0(X164,szNzAzT0)
| X164 != szszuzczcdt0(X164) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_111,plain,
! [X127] :
( ~ aSet0(X127)
| aSubsetOf0(X127,X127) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_112,plain,
! [X118] :
( ~ aSet0(X118)
| ~ isCountable0(X118)
| ~ isFinite0(X118) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_64])]) ).
fof(i_0_113,plain,
! [X179] :
( ~ aSet0(X179)
| aElement0(sbrdtbr0(X179)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_114,plain,
! [X119] :
( ~ aSet0(X119)
| ~ isCountable0(X119)
| X119 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_115,plain,
! [X181] :
( ( sbrdtbr0(X181) != sz00
| X181 = slcrc0
| ~ aSet0(X181) )
& ( X181 != slcrc0
| sbrdtbr0(X181) = sz00
| ~ aSet0(X181) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
cnf(i_0_116,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_65]),
[final] ).
cnf(i_0_117,plain,
( X3 = slbdtsldtrb0(X1,X2)
| ~ aElementOf0(esk11_3(X1,X2,X3),X3)
| ~ aSubsetOf0(esk11_3(X1,X2,X3),X1)
| sbrdtbr0(esk11_3(X1,X2,X3)) != X2
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_118,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_67]),
[final] ).
cnf(i_0_119,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_67]),
[final] ).
cnf(i_0_120,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_67]),
[final] ).
cnf(i_0_121,plain,
( aSubsetOf0(esk11_3(X1,X2,X3),X1)
| aElementOf0(esk11_3(X1,X2,X3),X3)
| X3 = slbdtsldtrb0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_122,plain,
( sbrdtbr0(esk11_3(X1,X2,X3)) = X2
| aElementOf0(esk11_3(X1,X2,X3),X3)
| X3 = slbdtsldtrb0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_123,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_65]),
[final] ).
cnf(i_0_124,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_68]),
[final] ).
cnf(i_0_125,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_65]),
[final] ).
cnf(i_0_126,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_67]),
[final] ).
cnf(i_0_127,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_65]),
[final] ).
cnf(i_0_128,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_68]),
[final] ).
cnf(i_0_129,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_69]),
[final] ).
cnf(i_0_130,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_70]),
[final] ).
cnf(i_0_131,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_71]),
[final] ).
cnf(i_0_132,plain,
( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_133,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_73]),
[final] ).
cnf(i_0_134,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_68]),
[final] ).
cnf(i_0_135,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_74]),
[final] ).
cnf(i_0_136,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_137,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_138,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_74]),
[final] ).
cnf(i_0_139,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_70]),
[final] ).
cnf(i_0_140,plain,
( aElementOf0(X1,X4)
| ~ aSubsetOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X4 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_141,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_142,plain,
( sdtlseqdt0(X1,X2)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_143,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_144,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_145,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_73]),
[final] ).
cnf(i_0_146,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_147,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_148,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_149,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_150,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_65]),
[final] ).
cnf(i_0_151,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_152,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_153,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_154,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_155,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_156,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_157,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_158,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_159,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_160,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_161,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_162,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_163,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_164,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_165,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_166,plain,
( X2 = sz00
| isCountable0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_167,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_168,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_169,plain,
( isFinite0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_170,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_171,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_172,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_173,plain,
( aElementOf0(X1,X3)
| X1 != X2
| ~ aElement0(X1)
| X3 != sdtpldt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_174,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_175,plain,
( aSubsetOf0(X1,slbdtrb0(esk10_1(X1)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_176,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_177,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_178,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_179,hypothesis,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[m__2227]),
[final] ).
cnf(i_0_180,negated_conjecture,
~ aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_181,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_182,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_183,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_184,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_185,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_186,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_187,plain,
( aElementOf0(esk10_1(X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_188,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_189,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_190,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_191,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_192,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_193,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_194,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_195,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_196,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_197,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_198,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_199,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_200,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_201,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_202,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_203,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_204,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_205,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_206,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_207,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_208,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_209,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_210,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_211,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_212,hypothesis,
slbdtsldtrb0(xS,xk) != slcrc0,
inference(split_conjunct,[status(thm)],[m__2227]),
[final] ).
cnf(i_0_213,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_214,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_215,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_216,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_217,hypothesis,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[m__2256]),
[final] ).
cnf(i_0_218,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__2202]),
[final] ).
cnf(i_0_219,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_220,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_221,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_222,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_223,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_224,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_225,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_226,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]),
[final] ).
cnf(i_0_227,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_228,axiom,
X1 = X1 ).
cnf(i_0_229,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_230,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_231,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_232,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_233,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_234,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_235,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_236,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_237,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_238,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_239,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_240,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_241,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_242,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_243,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_244,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_245,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_246,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_247,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_248,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_249,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_250,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_251,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_252,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_253,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_254,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_255,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_256,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_257,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_258,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_259,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_228_001,axiom,
X1 = X1 ).
cnf(i_0_229_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_230_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_231_004,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_232_005,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_233_006,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_234_007,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_235_008,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_236_009,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_237_010,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_238_011,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_239_012,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_240_013,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_241_014,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_242_015,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_243_016,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_244_017,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_245_018,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_246_019,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_247_020,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_248_021,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_249_022,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_250_023,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_251_024,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_252_025,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_253_026,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_254_027,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_255_028,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_256_029,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_257_030,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_258_031,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_259_032,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_260,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[143]) ).
cnf(i_0_261,plain,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0) ),
inference(equality_inference,[],[148]) ).
cnf(i_0_262,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| X1 = X3
| aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[150]) ).
cnf(i_0_263,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[151]) ).
cnf(i_0_264,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0)
| sbrdtbr0(X2) = X3 ),
inference(equality_inference,[],[153]) ).
cnf(i_0_265,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| X3 = X2
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[154]) ).
cnf(i_0_266,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(equality_inference,[],[155]) ).
cnf(i_0_267,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[158]) ).
cnf(i_0_268,plain,
( ~ aElementOf0(X1,X2)
| ~ isFinite0(X2)
| sdtlseqdt0(X1,szmzazxdt0(X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[159]) ).
cnf(i_0_269,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[160]) ).
cnf(i_0_270,plain,
( ~ aElementOf0(X1,X2)
| sdtlseqdt0(szmzizndt0(X2),X1)
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[164]) ).
cnf(i_0_271,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[167]) ).
cnf(i_0_272,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[168]) ).
cnf(i_0_273,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[171]) ).
cnf(i_0_274,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[176]) ).
cnf(i_0_275,plain,
( ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(equality_inference,[],[177]) ).
cnf(i_0_276,plain,
( ~ isFinite0(X1)
| aElementOf0(szmzazxdt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[185]) ).
cnf(i_0_277,plain,
( aElementOf0(szmzizndt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[188]) ).
cnf(i_0_278,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[189]) ).
cnf(i_0_279,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[190]) ).
cnf(i_0_280,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[201]) ).
cnf(i_0_281,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[209]) ).
cnf(i_0_282,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_inference,[],[214]) ).
cnf(i_0_283,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_inference,[],[216]) ).
cnf(i_0_284,plain,
aSet0(slcrc0),
inference(equality_inference,[],[220]) ).
cnf(i_0_285,plain,
~ isCountable0(slcrc0),
inference(scs_inference,[],[i_0_284,i_0_282]) ).
cnf(i_0_286,plain,
sbrdtbr0(slcrc0) = sz00,
inference(scs_inference,[],[i_0_284,i_0_283]) ).
cnf(i_0_287,plain,
iLess0(xk,szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_218,i_0_194]) ).
cnf(i_0_288,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_289,plain,
sdtlseqdt0(xk,szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_218,i_0_194,i_0_195]) ).
cnf(i_0_290,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_195]) ).
cnf(i_0_291,plain,
sdtlseqdt0(xk,xk),
inference(scs_inference,[],[i_0_218,i_0_194,i_0_195,i_0_197]) ).
cnf(i_0_292,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_293,plain,
sdtlseqdt0(sz00,xk),
inference(scs_inference,[],[i_0_218,i_0_194,i_0_195,i_0_197,i_0_203]) ).
cnf(i_0_294,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(rename_variables,[],[i_0_203]) ).
cnf(i_0_295,plain,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_218,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209]) ).
cnf(i_0_296,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(rename_variables,[],[i_0_209]) ).
cnf(i_0_297,plain,
aSubsetOf0(xT,xT),
inference(scs_inference,[],[i_0_218,i_0_223,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210]) ).
cnf(i_0_298,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_299,plain,
aSet0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_218,i_0_223,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220]) ).
cnf(i_0_300,plain,
( X1 != slcrc0
| aSet0(X1) ),
inference(rename_variables,[],[i_0_220]) ).
cnf(i_0_301,plain,
aSet0(slbdtrb0(xk)),
inference(scs_inference,[],[i_0_218,i_0_223,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280]) ).
cnf(i_0_302,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_280]) ).
cnf(i_0_303,plain,
slcrc0 = slbdtrb0(sz00),
inference(scs_inference,[],[i_0_218,i_0_223,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229]) ).
cnf(i_0_304,plain,
~ aSet0(slbdtsldtrb0(xS,xk)),
inference(scs_inference,[],[i_0_180,i_0_218,i_0_223,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206]) ).
cnf(i_0_305,plain,
~ aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_306,plain,
( X1 = slcrc0
| aElementOf0(esk1_1(X1),X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_206]) ).
cnf(i_0_307,plain,
~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_218,i_0_223,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277]) ).
cnf(i_0_308,plain,
~ aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_309,plain,
( X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(szmzizndt0(X1),X1) ),
inference(rename_variables,[],[i_0_277]) ).
cnf(i_0_310,plain,
xS != slbdtsldtrb0(xS,xk),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_223,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249]) ).
cnf(i_0_311,plain,
~ aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_312,plain,
aElementOf0(xk,slbdtrb0(szszuzczcdt0(xk))),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_223,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266]) ).
cnf(i_0_313,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_314,plain,
aElement0(xx),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_223,i_0_224,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198]) ).
cnf(i_0_315,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_316,plain,
~ aSubsetOf0(slbdtsldtrb0(xS,xk),xT),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_223,i_0_224,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199]) ).
cnf(i_0_317,plain,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_318,plain,
slbdtsldtrb0(xS,xk) != slbdtrb0(xk),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_223,i_0_224,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201]) ).
cnf(i_0_319,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1)
| aSet0(X2) ),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_320,plain,
~ isFinite0(szNzAzT0),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_221,i_0_223,i_0_224,i_0_225,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211]) ).
cnf(i_0_321,plain,
( ~ isCountable0(X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_211]) ).
cnf(i_0_322,plain,
~ isCountable0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_221,i_0_223,i_0_224,i_0_225,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214]) ).
cnf(i_0_323,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_324,plain,
aSet0(slbdtsldtrb0(xT,xk)),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_221,i_0_223,i_0_224,i_0_225,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275]) ).
cnf(i_0_325,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSet0(slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_275]) ).
cnf(i_0_326,plain,
slbdtsldtrb0(xS,xk) != slbdtrb0(sz00),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_221,i_0_223,i_0_224,i_0_225,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230]) ).
cnf(i_0_327,plain,
xT != slbdtsldtrb0(xS,xk),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_221,i_0_223,i_0_224,i_0_225,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251]) ).
cnf(i_0_328,plain,
slbdtsldtrb0(xT,xk) != szNzAzT0,
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_221,i_0_223,i_0_224,i_0_225,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253]) ).
cnf(i_0_329,plain,
slcrc0 != szNzAzT0,
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256]) ).
cnf(i_0_330,plain,
szNzAzT0 != slbdtrb0(sz00),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_217,i_0_218,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257]) ).
cnf(i_0_331,plain,
aSubsetOf0(slcrc0,xT),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_217,i_0_218,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163]) ).
cnf(i_0_332,plain,
~ aElementOf0(X1,slcrc0),
inference(rename_variables,[],[i_0_281]) ).
cnf(i_0_333,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_334,plain,
~ sdtlseqdt0(szszuzczcdt0(sz00),sz00),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260]) ).
cnf(i_0_335,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| aElementOf0(X1,slbdtrb0(X2)) ),
inference(rename_variables,[],[i_0_260]) ).
cnf(i_0_336,plain,
sdtlseqdt0(szszuzczcdt0(xk),szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146]) ).
cnf(i_0_337,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_338,plain,
aSubsetOf0(slbdtrb0(xk),slbdtrb0(xk)),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147]) ).
cnf(i_0_339,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_340,plain,
sdtlseqdt0(sz00,sz00),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157]) ).
cnf(i_0_341,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X1) ),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_342,plain,
~ aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157,i_0_261]) ).
cnf(i_0_343,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSubsetOf0(X3,X2)
| ~ aElementOf0(X3,slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_344,plain,
slbdtsldtrb0(xS,xk) != slbdtsldtrb0(xT,xk),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157,i_0_261,i_0_177]) ).
cnf(i_0_345,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtsldtrb0(X3,X1)
| ~ aSet0(X3)
| aSet0(X2) ),
inference(rename_variables,[],[i_0_177]) ).
cnf(i_0_346,plain,
~ aSubsetOf0(szNzAzT0,slcrc0),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157,i_0_261,i_0_177,i_0_191]) ).
cnf(i_0_347,plain,
( ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1)
| isFinite0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_348,plain,
~ sdtlseqdt0(szszuzczcdt0(xk),sz00),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_332,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157,i_0_261,i_0_177,i_0_191,i_0_143]) ).
cnf(i_0_349,plain,
~ aElementOf0(X1,slcrc0),
inference(rename_variables,[],[i_0_281]) ).
cnf(i_0_350,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X3)
| aElementOf0(X1,X2) ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_351,plain,
xS != xT,
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_332,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157,i_0_261,i_0_177,i_0_191,i_0_143,i_0_239]) ).
cnf(i_0_352,plain,
( X1 != slbdtsldtrb0(xS,xk)
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_332,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157,i_0_261,i_0_177,i_0_191,i_0_143,i_0_239,i_0_248]) ).
cnf(i_0_353,plain,
sz00 != szszuzczcdt0(sz00),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_332,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157,i_0_261,i_0_177,i_0_191,i_0_143,i_0_239,i_0_248,i_0_254]) ).
cnf(i_0_354,plain,
szszuzczcdt0(xk) != sz00,
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_332,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157,i_0_261,i_0_177,i_0_191,i_0_143,i_0_239,i_0_248,i_0_254,i_0_255]) ).
cnf(i_0_355,plain,
( ~ aElementOf0(sbrdtbr0(slbdtrb0(slbdtsldtrb0(xS,xk))),slbdtsldtrb0(xT,xk))
| ~ aElementOf0(slbdtsldtrb0(xS,xk),szNzAzT0) ),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_332,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157,i_0_261,i_0_177,i_0_191,i_0_143,i_0_239,i_0_248,i_0_254,i_0_255,i_0_204]) ).
cnf(i_0_356,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_357,plain,
( ~ aElementOf0(slbdtsldtrb0(xS,xk),slbdtrb0(xk))
| ~ aElementOf0(sbrdtbr0(slbdtrb0(slbdtsldtrb0(xS,xk))),slbdtsldtrb0(xT,xk)) ),
inference(scs_inference,[],[i_0_180,i_0_305,i_0_308,i_0_281,i_0_332,i_0_217,i_0_218,i_0_219,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_284,i_0_179,i_0_212,i_0_226,i_0_194,i_0_195,i_0_197,i_0_203,i_0_209,i_0_210,i_0_220,i_0_280,i_0_229,i_0_206,i_0_277,i_0_249,i_0_266,i_0_198,i_0_199,i_0_201,i_0_211,i_0_214,i_0_275,i_0_230,i_0_251,i_0_253,i_0_256,i_0_257,i_0_163,i_0_260,i_0_146,i_0_147,i_0_157,i_0_261,i_0_177,i_0_191,i_0_143,i_0_239,i_0_248,i_0_254,i_0_255,i_0_204,i_0_269,i_0_273]) ).
cnf(i_0_358,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_273]) ).
cnf(i_0_359,plain,
~ aElementOf0(X1,slbdtsldtrb0(xS,xk)),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_361,plain,
~ aElementOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(equality_inference,[],[352]) ).
cnf(i_0_362,plain,
iLess0(sz00,szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_219,i_0_194]) ).
cnf(i_0_363,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_364,plain,
sdtlseqdt0(sz00,szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_219,i_0_194,i_0_195]) ).
cnf(i_0_365,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_195]) ).
cnf(i_0_366,plain,
aSubsetOf0(slbdtsldtrb0(xT,xk),slbdtsldtrb0(xT,xk)),
inference(scs_inference,[],[i_0_219,i_0_324,i_0_194,i_0_195,i_0_210]) ).
cnf(i_0_367,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_368,plain,
sz00 = sbrdtbr0(slcrc0),
inference(scs_inference,[],[i_0_219,i_0_324,i_0_286,i_0_194,i_0_195,i_0_210,i_0_229]) ).
cnf(i_0_369,plain,
aElementOf0(sz00,slbdtrb0(szszuzczcdt0(sz00))),
inference(scs_inference,[],[i_0_219,i_0_324,i_0_286,i_0_194,i_0_195,i_0_210,i_0_229,i_0_266]) ).
cnf(i_0_370,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_371,plain,
aElement0(sz00),
inference(scs_inference,[],[i_0_219,i_0_324,i_0_286,i_0_225,i_0_194,i_0_195,i_0_210,i_0_229,i_0_266,i_0_198]) ).
cnf(i_0_372,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_373,plain,
aSet0(slbdtsldtrb0(xT,sz00)),
inference(scs_inference,[],[i_0_219,i_0_223,i_0_324,i_0_286,i_0_225,i_0_194,i_0_195,i_0_210,i_0_229,i_0_266,i_0_198,i_0_275]) ).
cnf(i_0_374,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSet0(slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_275]) ).
cnf(i_0_375,plain,
$false,
inference(scs_inference,[],[i_0_304,i_0_219,i_0_223,i_0_324,i_0_286,i_0_225,i_0_179,i_0_194,i_0_195,i_0_210,i_0_229,i_0_266,i_0_198,i_0_275,i_0_199]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM547+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:45:30 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.36/1.62 % Version : CSE_E---1.7
% 0.36/1.62 % Problem : theBenchmark.p
% 0.36/1.62 % SZS status Theorem for theBenchmark.p
% 0.36/1.62 % SZS output start CNFRefutation
% See solution above
% 0.79/2.07 % Total time : 1.276s
%------------------------------------------------------------------------------