%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM634+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 04:58:13 PM UTC 2026
% Result : Theorem 0.47s 30.79s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 273)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,xS)
& isCountable0(X2)
& ! [X3] :
( aElementOf0(X3,slbdtsldtrb0(X2,xK))
=> sdtlpdtrp0(xc,X3) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mCardCons,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mDiffCons) ).
fof(mSelNSet,axiom,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
fof(mNoScLessZr,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(mCountNFin,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(m__3398,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,szNzAzT0)
& isCountable0(X2) )
=> ! [X3] :
( ( aFunction0(X3)
& szDzozmdt0(X3) = slbdtsldtrb0(X2,X1)
& aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT) )
=> ( iLess0(X1,xK)
=> ? [X4] :
( aElementOf0(X4,xT)
& ? [X5] :
( aSubsetOf0(X5,X2)
& isCountable0(X5)
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(X5,X1))
=> sdtlpdtrp0(X3,X6) = X4 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3398) ).
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/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDefPtt,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtlbdtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,szDzozmdt0(X1))
& sdtlpdtrp0(X1,X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPtt) ).
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/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(mDefSImg,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtlcdtrc0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5] :
( aElementOf0(X5,X2)
& sdtlpdtrp0(X1,X5) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
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/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(mDefRst,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtexdt0(X1,X2)
<=> ( aFunction0(X3)
& szDzozmdt0(X3) = X2
& ! [X4] :
( aElementOf0(X4,X2)
=> sdtlpdtrp0(X3,X4) = sdtlpdtrp0(X1,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefRst) ).
fof(mSelExtra,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( ( aSubsetOf0(X3,slbdtsldtrb0(X1,X2))
& isFinite0(X3) )
=> ? [X4] :
( aSubsetOf0(X4,X1)
& isFinite0(X4)
& aSubsetOf0(X3,slbdtsldtrb0(X4,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelExtra) ).
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/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(mSelSub,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2,X3] :
( ( aSet0(X2)
& aSet0(X3)
& X1 != sz00 )
=> ( ( aSubsetOf0(slbdtsldtrb0(X2,X1),slbdtsldtrb0(X3,X1))
& slbdtsldtrb0(X2,X1) != slcrc0 )
=> aSubsetOf0(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelSub) ).
fof(mImgCount,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( ( aSubsetOf0(X2,szDzozmdt0(X1))
& isCountable0(X2) )
=> ( ! [X3,X4] :
( ( aElementOf0(X3,szDzozmdt0(X1))
& aElementOf0(X4,szDzozmdt0(X1))
& X3 != X4 )
=> sdtlpdtrp0(X1,X3) != sdtlpdtrp0(X1,X4) )
=> isCountable0(sdtlcdtrc0(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgCount) ).
fof(mDirichlet,axiom,
! [X1] :
( aFunction0(X1)
=> ( ( isCountable0(szDzozmdt0(X1))
& isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) )
=> ( aElement0(szDzizrdt0(X1))
& isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDirichlet) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefMax) ).
fof(mImgRng,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgRng) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(mImgElm,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElement0(sdtlpdtrp0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgElm) ).
fof(mSelCSet,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ! [X2] :
( ( aElementOf0(X2,szNzAzT0)
& X2 != sz00 )
=> isCountable0(slbdtsldtrb0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelCSet) ).
fof(mSelFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelFSet) ).
fof(mCardSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aSubsetOf0(X2,X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSub) ).
fof(mSubASymm,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(mPttSet,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPttSet) ).
fof(mFinSubSeg,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aSubsetOf0(X1,slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(mSuccEquSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(mCDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCDiffSet) ).
fof(mCConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCConsSet) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(mFConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(mLessRefl,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegFin) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(m__3520,hypothesis,
~ ( xK != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).
fof(m__3453,hypothesis,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(m__3435,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(m__3418,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(m__3462,hypothesis,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(i_0_73,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,xS)
& isCountable0(X2)
& ! [X3] :
( aElementOf0(X3,slbdtsldtrb0(X2,xK))
=> sdtlpdtrp0(xc,X3) = X1 ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_74,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_75,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_76,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
inference(fof_simplification,[status(thm)],[mSelNSet]) ).
fof(i_0_77,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(i_0_78,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(i_0_79,hypothesis,
! [X316,X317,X318,X321] :
( ( aElementOf0(esk20_3(X316,X317,X318),xT)
| ~ iLess0(X316,xK)
| ~ aFunction0(X318)
| szDzozmdt0(X318) != slbdtsldtrb0(X317,X316)
| ~ aSubsetOf0(sdtlcdtrc0(X318,szDzozmdt0(X318)),xT)
| ~ aSubsetOf0(X317,szNzAzT0)
| ~ isCountable0(X317)
| ~ aElementOf0(X316,szNzAzT0) )
& ( aSubsetOf0(esk21_3(X316,X317,X318),X317)
| ~ iLess0(X316,xK)
| ~ aFunction0(X318)
| szDzozmdt0(X318) != slbdtsldtrb0(X317,X316)
| ~ aSubsetOf0(sdtlcdtrc0(X318,szDzozmdt0(X318)),xT)
| ~ aSubsetOf0(X317,szNzAzT0)
| ~ isCountable0(X317)
| ~ aElementOf0(X316,szNzAzT0) )
& ( isCountable0(esk21_3(X316,X317,X318))
| ~ iLess0(X316,xK)
| ~ aFunction0(X318)
| szDzozmdt0(X318) != slbdtsldtrb0(X317,X316)
| ~ aSubsetOf0(sdtlcdtrc0(X318,szDzozmdt0(X318)),xT)
| ~ aSubsetOf0(X317,szNzAzT0)
| ~ isCountable0(X317)
| ~ aElementOf0(X316,szNzAzT0) )
& ( ~ aElementOf0(X321,slbdtsldtrb0(esk21_3(X316,X317,X318),X316))
| sdtlpdtrp0(X318,X321) = esk20_3(X316,X317,X318)
| ~ iLess0(X316,xK)
| ~ aFunction0(X318)
| szDzozmdt0(X318) != slbdtsldtrb0(X317,X316)
| ~ aSubsetOf0(sdtlcdtrc0(X318,szDzozmdt0(X318)),xT)
| ~ aSubsetOf0(X317,szNzAzT0)
| ~ isCountable0(X317)
| ~ aElementOf0(X316,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3398])])])])]) ).
fof(i_0_80,plain,
! [X183,X184,X185,X186,X187,X188] :
( ( aSet0(X185)
| X185 != sdtmndt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( aElement0(X186)
| ~ aElementOf0(X186,X185)
| X185 != sdtmndt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( aElementOf0(X186,X183)
| ~ aElementOf0(X186,X185)
| X185 != sdtmndt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( X186 != X184
| ~ aElementOf0(X186,X185)
| X185 != sdtmndt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( ~ aElement0(X187)
| ~ aElementOf0(X187,X183)
| X187 = X184
| aElementOf0(X187,X185)
| X185 != sdtmndt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( ~ aElementOf0(esk4_3(X183,X184,X188),X188)
| ~ aElement0(esk4_3(X183,X184,X188))
| ~ aElementOf0(esk4_3(X183,X184,X188),X183)
| esk4_3(X183,X184,X188) = X184
| ~ aSet0(X188)
| X188 = sdtmndt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( aElement0(esk4_3(X183,X184,X188))
| aElementOf0(esk4_3(X183,X184,X188),X188)
| ~ aSet0(X188)
| X188 = sdtmndt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( aElementOf0(esk4_3(X183,X184,X188),X183)
| aElementOf0(esk4_3(X183,X184,X188),X188)
| ~ aSet0(X188)
| X188 = sdtmndt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( esk4_3(X183,X184,X188) != X184
| aElementOf0(esk4_3(X183,X184,X188),X188)
| ~ aSet0(X188)
| X188 = sdtmndt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) ) ),
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_81,plain,
! [X283,X284,X285,X286,X287,X288] :
( ( aSet0(X285)
| X285 != sdtlbdtrb0(X283,X284)
| ~ aFunction0(X283)
| ~ aElement0(X284) )
& ( aElementOf0(X286,szDzozmdt0(X283))
| ~ aElementOf0(X286,X285)
| X285 != sdtlbdtrb0(X283,X284)
| ~ aFunction0(X283)
| ~ aElement0(X284) )
& ( sdtlpdtrp0(X283,X286) = X284
| ~ aElementOf0(X286,X285)
| X285 != sdtlbdtrb0(X283,X284)
| ~ aFunction0(X283)
| ~ aElement0(X284) )
& ( ~ aElementOf0(X287,szDzozmdt0(X283))
| sdtlpdtrp0(X283,X287) != X284
| aElementOf0(X287,X285)
| X285 != sdtlbdtrb0(X283,X284)
| ~ aFunction0(X283)
| ~ aElement0(X284) )
& ( ~ aElementOf0(esk13_3(X283,X284,X288),X288)
| ~ aElementOf0(esk13_3(X283,X284,X288),szDzozmdt0(X283))
| sdtlpdtrp0(X283,esk13_3(X283,X284,X288)) != X284
| ~ aSet0(X288)
| X288 = sdtlbdtrb0(X283,X284)
| ~ aFunction0(X283)
| ~ aElement0(X284) )
& ( aElementOf0(esk13_3(X283,X284,X288),szDzozmdt0(X283))
| aElementOf0(esk13_3(X283,X284,X288),X288)
| ~ aSet0(X288)
| X288 = sdtlbdtrb0(X283,X284)
| ~ aFunction0(X283)
| ~ aElement0(X284) )
& ( sdtlpdtrp0(X283,esk13_3(X283,X284,X288)) = X284
| aElementOf0(esk13_3(X283,X284,X288),X288)
| ~ aSet0(X288)
| X288 = sdtlbdtrb0(X283,X284)
| ~ aFunction0(X283)
| ~ aElement0(X284) ) ),
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)],[mDefPtt])])])])])]) ).
fof(i_0_82,plain,
! [X260,X261,X262,X263,X264,X265] :
( ( aSet0(X262)
| X262 != slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( aSubsetOf0(X263,X260)
| ~ aElementOf0(X263,X262)
| X262 != slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( sbrdtbr0(X263) = X261
| ~ aElementOf0(X263,X262)
| X262 != slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( ~ aSubsetOf0(X264,X260)
| sbrdtbr0(X264) != X261
| aElementOf0(X264,X262)
| X262 != slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X260,X261,X265),X265)
| ~ aSubsetOf0(esk11_3(X260,X261,X265),X260)
| sbrdtbr0(esk11_3(X260,X261,X265)) != X261
| ~ aSet0(X265)
| X265 = slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X260,X261,X265),X260)
| aElementOf0(esk11_3(X260,X261,X265),X265)
| ~ aSet0(X265)
| X265 = slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X260,X261,X265)) = X261
| aElementOf0(esk11_3(X260,X261,X265),X265)
| ~ aSet0(X265)
| X265 = slbdtsldtrb0(X260,X261)
| ~ aSet0(X260)
| ~ aElementOf0(X261,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_83,plain,
! [X292,X293,X294,X295,X297,X298,X299,X301] :
( ( aSet0(X294)
| X294 != sdtlcdtrc0(X292,X293)
| ~ aSubsetOf0(X293,szDzozmdt0(X292))
| ~ aFunction0(X292) )
& ( aElementOf0(esk14_4(X292,X293,X294,X295),X293)
| ~ aElementOf0(X295,X294)
| X294 != sdtlcdtrc0(X292,X293)
| ~ aSubsetOf0(X293,szDzozmdt0(X292))
| ~ aFunction0(X292) )
& ( sdtlpdtrp0(X292,esk14_4(X292,X293,X294,X295)) = X295
| ~ aElementOf0(X295,X294)
| X294 != sdtlcdtrc0(X292,X293)
| ~ aSubsetOf0(X293,szDzozmdt0(X292))
| ~ aFunction0(X292) )
& ( ~ aElementOf0(X298,X293)
| sdtlpdtrp0(X292,X298) != X297
| aElementOf0(X297,X294)
| X294 != sdtlcdtrc0(X292,X293)
| ~ aSubsetOf0(X293,szDzozmdt0(X292))
| ~ aFunction0(X292) )
& ( ~ aElementOf0(esk15_3(X292,X293,X299),X299)
| ~ aElementOf0(X301,X293)
| sdtlpdtrp0(X292,X301) != esk15_3(X292,X293,X299)
| ~ aSet0(X299)
| X299 = sdtlcdtrc0(X292,X293)
| ~ aSubsetOf0(X293,szDzozmdt0(X292))
| ~ aFunction0(X292) )
& ( aElementOf0(esk16_3(X292,X293,X299),X293)
| aElementOf0(esk15_3(X292,X293,X299),X299)
| ~ aSet0(X299)
| X299 = sdtlcdtrc0(X292,X293)
| ~ aSubsetOf0(X293,szDzozmdt0(X292))
| ~ aFunction0(X292) )
& ( sdtlpdtrp0(X292,esk16_3(X292,X293,X299)) = esk15_3(X292,X293,X299)
| aElementOf0(esk15_3(X292,X293,X299),X299)
| ~ aSet0(X299)
| X299 = sdtlcdtrc0(X292,X293)
| ~ aSubsetOf0(X293,szDzozmdt0(X292))
| ~ aFunction0(X292) ) ),
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)],[mDefSImg])])])])])]) ).
fof(i_0_84,plain,
! [X176,X177,X178,X179,X180,X181] :
( ( aSet0(X178)
| X178 != sdtpldt0(X176,X177)
| ~ aSet0(X176)
| ~ aElement0(X177) )
& ( aElement0(X179)
| ~ aElementOf0(X179,X178)
| X178 != sdtpldt0(X176,X177)
| ~ aSet0(X176)
| ~ aElement0(X177) )
& ( aElementOf0(X179,X176)
| X179 = X177
| ~ aElementOf0(X179,X178)
| X178 != sdtpldt0(X176,X177)
| ~ aSet0(X176)
| ~ aElement0(X177) )
& ( ~ aElementOf0(X180,X176)
| ~ aElement0(X180)
| aElementOf0(X180,X178)
| X178 != sdtpldt0(X176,X177)
| ~ aSet0(X176)
| ~ aElement0(X177) )
& ( X180 != X177
| ~ aElement0(X180)
| aElementOf0(X180,X178)
| X178 != sdtpldt0(X176,X177)
| ~ aSet0(X176)
| ~ aElement0(X177) )
& ( ~ aElementOf0(esk3_3(X176,X177,X181),X176)
| ~ aElement0(esk3_3(X176,X177,X181))
| ~ aElementOf0(esk3_3(X176,X177,X181),X181)
| ~ aSet0(X181)
| X181 = sdtpldt0(X176,X177)
| ~ aSet0(X176)
| ~ aElement0(X177) )
& ( esk3_3(X176,X177,X181) != X177
| ~ aElement0(esk3_3(X176,X177,X181))
| ~ aElementOf0(esk3_3(X176,X177,X181),X181)
| ~ aSet0(X181)
| X181 = sdtpldt0(X176,X177)
| ~ aSet0(X176)
| ~ aElement0(X177) )
& ( aElement0(esk3_3(X176,X177,X181))
| aElementOf0(esk3_3(X176,X177,X181),X181)
| ~ aSet0(X181)
| X181 = sdtpldt0(X176,X177)
| ~ aSet0(X176)
| ~ aElement0(X177) )
& ( aElementOf0(esk3_3(X176,X177,X181),X176)
| esk3_3(X176,X177,X181) = X177
| aElementOf0(esk3_3(X176,X177,X181),X181)
| ~ aSet0(X181)
| X181 = sdtpldt0(X176,X177)
| ~ aSet0(X176)
| ~ aElement0(X177) ) ),
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_85,plain,
! [X305,X306,X307,X308,X309] :
( ( aFunction0(X307)
| X307 != sdtexdt0(X305,X306)
| ~ aSubsetOf0(X306,szDzozmdt0(X305))
| ~ aFunction0(X305) )
& ( szDzozmdt0(X307) = X306
| X307 != sdtexdt0(X305,X306)
| ~ aSubsetOf0(X306,szDzozmdt0(X305))
| ~ aFunction0(X305) )
& ( ~ aElementOf0(X308,X306)
| sdtlpdtrp0(X307,X308) = sdtlpdtrp0(X305,X308)
| X307 != sdtexdt0(X305,X306)
| ~ aSubsetOf0(X306,szDzozmdt0(X305))
| ~ aFunction0(X305) )
& ( aElementOf0(esk17_3(X305,X306,X309),X306)
| ~ aFunction0(X309)
| szDzozmdt0(X309) != X306
| X309 = sdtexdt0(X305,X306)
| ~ aSubsetOf0(X306,szDzozmdt0(X305))
| ~ aFunction0(X305) )
& ( sdtlpdtrp0(X309,esk17_3(X305,X306,X309)) != sdtlpdtrp0(X305,esk17_3(X305,X306,X309))
| ~ aFunction0(X309)
| szDzozmdt0(X309) != X306
| X309 = sdtexdt0(X305,X306)
| ~ aSubsetOf0(X306,szDzozmdt0(X305))
| ~ aFunction0(X305) ) ),
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)],[mDefRst])])])])])]) ).
fof(i_0_86,plain,
! [X276,X277,X278] :
( ( aSubsetOf0(esk12_3(X276,X277,X278),X276)
| ~ aSubsetOf0(X278,slbdtsldtrb0(X276,X277))
| ~ isFinite0(X278)
| ~ aSet0(X276)
| ~ aElementOf0(X277,szNzAzT0) )
& ( isFinite0(esk12_3(X276,X277,X278))
| ~ aSubsetOf0(X278,slbdtsldtrb0(X276,X277))
| ~ isFinite0(X278)
| ~ aSet0(X276)
| ~ aElementOf0(X277,szNzAzT0) )
& ( aSubsetOf0(X278,slbdtsldtrb0(esk12_3(X276,X277,X278),X277))
| ~ aSubsetOf0(X278,slbdtsldtrb0(X276,X277))
| ~ isFinite0(X278)
| ~ aSet0(X276)
| ~ aElementOf0(X277,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelExtra])])])])]) ).
fof(i_0_87,plain,
! [X246,X247,X248,X249,X250] :
( ( aSet0(X247)
| X247 != slbdtrb0(X246)
| ~ aElementOf0(X246,szNzAzT0) )
& ( aElementOf0(X248,szNzAzT0)
| ~ aElementOf0(X248,X247)
| X247 != slbdtrb0(X246)
| ~ aElementOf0(X246,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X248),X246)
| ~ aElementOf0(X248,X247)
| X247 != slbdtrb0(X246)
| ~ aElementOf0(X246,szNzAzT0) )
& ( ~ aElementOf0(X249,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X249),X246)
| aElementOf0(X249,X247)
| X247 != slbdtrb0(X246)
| ~ aElementOf0(X246,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X246,X250),X250)
| ~ aElementOf0(esk9_2(X246,X250),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X246,X250)),X246)
| ~ aSet0(X250)
| X250 = slbdtrb0(X246)
| ~ aElementOf0(X246,szNzAzT0) )
& ( aElementOf0(esk9_2(X246,X250),szNzAzT0)
| aElementOf0(esk9_2(X246,X250),X250)
| ~ aSet0(X250)
| X250 = slbdtrb0(X246)
| ~ aElementOf0(X246,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X246,X250)),X246)
| aElementOf0(esk9_2(X246,X250),X250)
| ~ aSet0(X250)
| X250 = slbdtrb0(X246)
| ~ aElementOf0(X246,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_88,plain,
! [X273,X274,X275] :
( ~ aElementOf0(X273,szNzAzT0)
| ~ aSet0(X274)
| ~ aSet0(X275)
| X273 = sz00
| ~ aSubsetOf0(slbdtsldtrb0(X274,X273),slbdtsldtrb0(X275,X273))
| slbdtsldtrb0(X274,X273) = slcrc0
| aSubsetOf0(X274,X275) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelSub])])]) ).
fof(i_0_89,plain,
! [X311,X312] :
( ( aElementOf0(esk18_2(X311,X312),szDzozmdt0(X311))
| isCountable0(sdtlcdtrc0(X311,X312))
| ~ aSubsetOf0(X312,szDzozmdt0(X311))
| ~ isCountable0(X312)
| ~ aFunction0(X311) )
& ( aElementOf0(esk19_2(X311,X312),szDzozmdt0(X311))
| isCountable0(sdtlcdtrc0(X311,X312))
| ~ aSubsetOf0(X312,szDzozmdt0(X311))
| ~ isCountable0(X312)
| ~ aFunction0(X311) )
& ( esk18_2(X311,X312) != esk19_2(X311,X312)
| isCountable0(sdtlcdtrc0(X311,X312))
| ~ aSubsetOf0(X312,szDzozmdt0(X311))
| ~ isCountable0(X312)
| ~ aFunction0(X311) )
& ( sdtlpdtrp0(X311,esk18_2(X311,X312)) = sdtlpdtrp0(X311,esk19_2(X311,X312))
| isCountable0(sdtlcdtrc0(X311,X312))
| ~ aSubsetOf0(X312,szDzozmdt0(X311))
| ~ isCountable0(X312)
| ~ aFunction0(X311) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgCount])])])])]) ).
fof(i_0_90,plain,
! [X315] :
( ( aElement0(szDzizrdt0(X315))
| ~ isCountable0(szDzozmdt0(X315))
| ~ isFinite0(sdtlcdtrc0(X315,szDzozmdt0(X315)))
| ~ aFunction0(X315) )
& ( isCountable0(sdtlbdtrb0(X315,szDzizrdt0(X315)))
| ~ isCountable0(szDzozmdt0(X315))
| ~ isFinite0(sdtlcdtrc0(X315,szDzozmdt0(X315)))
| ~ aFunction0(X315) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDirichlet])])]) ).
fof(i_0_91,plain,
! [X216,X217,X218] :
( ~ aElementOf0(X216,szNzAzT0)
| ~ aElementOf0(X217,szNzAzT0)
| ~ aElementOf0(X218,szNzAzT0)
| ~ sdtlseqdt0(X216,X217)
| ~ sdtlseqdt0(X217,X218)
| sdtlseqdt0(X216,X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(i_0_92,plain,
! [X239,X240,X241,X242] :
( ( aElementOf0(X240,X239)
| X240 != szmzazxdt0(X239)
| ~ aSubsetOf0(X239,szNzAzT0)
| ~ isFinite0(X239)
| X239 = slcrc0 )
& ( ~ aElementOf0(X241,X239)
| sdtlseqdt0(X241,X240)
| X240 != szmzazxdt0(X239)
| ~ aSubsetOf0(X239,szNzAzT0)
| ~ isFinite0(X239)
| X239 = slcrc0 )
& ( aElementOf0(esk8_2(X239,X242),X239)
| ~ aElementOf0(X242,X239)
| X242 = szmzazxdt0(X239)
| ~ aSubsetOf0(X239,szNzAzT0)
| ~ isFinite0(X239)
| X239 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X239,X242),X242)
| ~ aElementOf0(X242,X239)
| X242 = szmzazxdt0(X239)
| ~ aSubsetOf0(X239,szNzAzT0)
| ~ isFinite0(X239)
| X239 = 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_93,plain,
! [X303,X304] :
( ~ aFunction0(X303)
| ~ aElementOf0(X304,szDzozmdt0(X303))
| aElementOf0(sdtlpdtrp0(X303,X304),sdtlcdtrc0(X303,szDzozmdt0(X303))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgRng])])]) ).
fof(i_0_94,plain,
! [X244,X245] :
( ~ aSubsetOf0(X244,szNzAzT0)
| ~ aSubsetOf0(X245,szNzAzT0)
| X244 = slcrc0
| X245 = slcrc0
| ~ aElementOf0(szmzizndt0(X244),X245)
| ~ aElementOf0(szmzizndt0(X245),X244)
| szmzizndt0(X244) = szmzizndt0(X245) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMinMin])]) ).
fof(i_0_95,plain,
! [X253,X254] :
( ( ~ aElementOf0(X253,slbdtrb0(szszuzczcdt0(X254)))
| aElementOf0(X253,slbdtrb0(X254))
| X253 = X254
| ~ aElementOf0(X253,szNzAzT0)
| ~ aElementOf0(X254,szNzAzT0) )
& ( ~ aElementOf0(X253,slbdtrb0(X254))
| aElementOf0(X253,slbdtrb0(szszuzczcdt0(X254)))
| ~ aElementOf0(X253,szNzAzT0)
| ~ aElementOf0(X254,szNzAzT0) )
& ( X253 != X254
| aElementOf0(X253,slbdtrb0(szszuzczcdt0(X254)))
| ~ aElementOf0(X253,szNzAzT0)
| ~ aElementOf0(X254,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
fof(i_0_96,plain,
! [X234,X235,X236,X237] :
( ( aElementOf0(X235,X234)
| X235 != szmzizndt0(X234)
| ~ aSubsetOf0(X234,szNzAzT0)
| X234 = slcrc0 )
& ( ~ aElementOf0(X236,X234)
| sdtlseqdt0(X235,X236)
| X235 != szmzizndt0(X234)
| ~ aSubsetOf0(X234,szNzAzT0)
| X234 = slcrc0 )
& ( aElementOf0(esk7_2(X234,X237),X234)
| ~ aElementOf0(X237,X234)
| X237 = szmzizndt0(X234)
| ~ aSubsetOf0(X234,szNzAzT0)
| X234 = slcrc0 )
& ( ~ sdtlseqdt0(X237,esk7_2(X234,X237))
| ~ aElementOf0(X237,X234)
| X237 = szmzizndt0(X234)
| ~ aSubsetOf0(X234,szNzAzT0)
| X234 = 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_97,negated_conjecture,
! [X322,X323] :
( ( aElementOf0(esk22_2(X322,X323),slbdtsldtrb0(X323,xK))
| ~ aSubsetOf0(X323,xS)
| ~ isCountable0(X323)
| ~ aElementOf0(X322,xT) )
& ( sdtlpdtrp0(xc,esk22_2(X322,X323)) != X322
| ~ aSubsetOf0(X323,xS)
| ~ isCountable0(X323)
| ~ aElementOf0(X322,xT) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])])])])]) ).
fof(i_0_98,plain,
! [X231,X232] :
( ( aSubsetOf0(esk6_2(X231,X232),X231)
| ~ isFinite0(X231)
| ~ sdtlseqdt0(X232,sbrdtbr0(X231))
| ~ aSet0(X231)
| ~ aElementOf0(X232,szNzAzT0) )
& ( sbrdtbr0(esk6_2(X231,X232)) = X232
| ~ isFinite0(X231)
| ~ sdtlseqdt0(X232,sbrdtbr0(X231))
| ~ aSet0(X231)
| ~ aElementOf0(X232,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])]) ).
fof(i_0_99,plain,
! [X227,X228] :
( ~ aSet0(X227)
| ~ isFinite0(X227)
| ~ aElementOf0(X228,X227)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X227,X228))) = sbrdtbr0(X227) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])]) ).
fof(i_0_100,plain,
! [X210,X211] :
( ( ~ sdtlseqdt0(X210,X211)
| sdtlseqdt0(szszuzczcdt0(X210),szszuzczcdt0(X211))
| ~ aElementOf0(X210,szNzAzT0)
| ~ aElementOf0(X211,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X210),szszuzczcdt0(X211))
| sdtlseqdt0(X210,X211)
| ~ aElementOf0(X210,szNzAzT0)
| ~ aElementOf0(X211,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(i_0_101,plain,
! [X255,X256] :
( ( ~ sdtlseqdt0(X255,X256)
| aSubsetOf0(slbdtrb0(X255),slbdtrb0(X256))
| ~ aElementOf0(X255,szNzAzT0)
| ~ aElementOf0(X256,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X255),slbdtrb0(X256))
| sdtlseqdt0(X255,X256)
| ~ aElementOf0(X255,szNzAzT0)
| ~ aElementOf0(X256,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
fof(i_0_102,plain,
! [X163,X164,X165,X166] :
( ( aSet0(X164)
| ~ aSubsetOf0(X164,X163)
| ~ aSet0(X163) )
& ( ~ aElementOf0(X165,X164)
| aElementOf0(X165,X163)
| ~ aSubsetOf0(X164,X163)
| ~ aSet0(X163) )
& ( aElementOf0(esk2_2(X163,X166),X166)
| ~ aSet0(X166)
| aSubsetOf0(X166,X163)
| ~ aSet0(X163) )
& ( ~ aElementOf0(esk2_2(X163,X166),X163)
| ~ aSet0(X166)
| aSubsetOf0(X166,X163)
| ~ aSet0(X163) ) ),
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_103,plain,
! [X214,X215] :
( ~ aElementOf0(X214,szNzAzT0)
| ~ aElementOf0(X215,szNzAzT0)
| ~ sdtlseqdt0(X214,X215)
| ~ sdtlseqdt0(X215,X214)
| X214 = X215 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(i_0_104,plain,
! [X173,X174,X175] :
( ~ aSet0(X173)
| ~ aSet0(X174)
| ~ aSet0(X175)
| ~ aSubsetOf0(X173,X174)
| ~ aSubsetOf0(X174,X175)
| aSubsetOf0(X173,X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(i_0_105,plain,
! [X225,X226] :
( ~ aSet0(X225)
| ~ isFinite0(X225)
| ~ aElement0(X226)
| aElementOf0(X226,X225)
| sbrdtbr0(sdtpldt0(X225,X226)) = szszuzczcdt0(sbrdtbr0(X225)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])])]) ).
fof(i_0_106,plain,
! [X219,X220] :
( ~ aElementOf0(X219,szNzAzT0)
| ~ aElementOf0(X220,szNzAzT0)
| sdtlseqdt0(X219,X220)
| sdtlseqdt0(szszuzczcdt0(X220),X219) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(i_0_107,plain,
! [X190,X191] :
( ~ aSet0(X190)
| ~ aElementOf0(X191,X190)
| sdtpldt0(sdtmndt0(X190,X191),X191) = X190 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
fof(i_0_108,plain,
! [X192,X193] :
( ~ aElement0(X192)
| ~ aSet0(X193)
| aElementOf0(X192,X193)
| sdtmndt0(sdtpldt0(X193,X192),X192) = X193 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])]) ).
fof(i_0_109,plain,
! [X281,X282] :
( ~ aFunction0(X281)
| ~ aElementOf0(X282,szDzozmdt0(X281))
| aElement0(sdtlpdtrp0(X281,X282)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgElm])])]) ).
fof(i_0_110,plain,
! [X271,X272] :
( ~ aSet0(X271)
| ~ isCountable0(X271)
| ~ aElementOf0(X272,szNzAzT0)
| X272 = sz00
| isCountable0(slbdtsldtrb0(X271,X272)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelCSet])])]) ).
fof(i_0_111,plain,
! [X267,X268] :
( ~ aSet0(X267)
| ~ isFinite0(X267)
| ~ aElementOf0(X268,szNzAzT0)
| isFinite0(slbdtsldtrb0(X267,X268)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelFSet])])]) ).
fof(i_0_112,plain,
! [X229,X230] :
( ~ aSet0(X229)
| ~ isFinite0(X229)
| ~ aSubsetOf0(X230,X229)
| sdtlseqdt0(sbrdtbr0(X230),sbrdtbr0(X229)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
fof(i_0_113,plain,
! [X171,X172] :
( ~ aSet0(X171)
| ~ aSet0(X172)
| ~ aSubsetOf0(X171,X172)
| ~ aSubsetOf0(X172,X171)
| X171 = X172 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
fof(i_0_114,plain,
! [X290,X291] :
( ~ aFunction0(X290)
| ~ aElement0(X291)
| aSubsetOf0(sdtlbdtrb0(X290,X291),szDzozmdt0(X290)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPttSet])]) ).
fof(i_0_115,plain,
! [X257] :
( ( aElementOf0(esk10_1(X257),szNzAzT0)
| ~ aSubsetOf0(X257,szNzAzT0)
| ~ isFinite0(X257) )
& ( aSubsetOf0(X257,slbdtrb0(esk10_1(X257)))
| ~ aSubsetOf0(X257,szNzAzT0)
| ~ isFinite0(X257) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFinSubSeg])])])]) ).
fof(i_0_116,plain,
! [X203,X204] :
( ~ aElementOf0(X203,szNzAzT0)
| ~ aElementOf0(X204,szNzAzT0)
| szszuzczcdt0(X203) != szszuzczcdt0(X204)
| X203 = X204 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(i_0_117,plain,
! [X269,X270] :
( ~ aSet0(X269)
| isFinite0(X269)
| ~ aElementOf0(X270,szNzAzT0)
| slbdtsldtrb0(X269,X270) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_76])])]) ).
fof(i_0_118,plain,
! [X196,X197] :
( ~ aElement0(X196)
| ~ aSet0(X197)
| ~ isCountable0(X197)
| isCountable0(sdtmndt0(X197,X196)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])]) ).
fof(i_0_119,plain,
! [X194,X195] :
( ~ aElement0(X194)
| ~ aSet0(X195)
| ~ isCountable0(X195)
| isCountable0(sdtpldt0(X195,X194)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])]) ).
fof(i_0_120,plain,
! [X200,X201] :
( ~ aElement0(X200)
| ~ aSet0(X201)
| ~ isFinite0(X201)
| isFinite0(sdtmndt0(X201,X200)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
fof(i_0_121,plain,
! [X198,X199] :
( ~ aElement0(X198)
| ~ aSet0(X199)
| ~ isFinite0(X199)
| isFinite0(sdtpldt0(X199,X198)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])]) ).
fof(i_0_122,plain,
! [X209] :
( ~ aElementOf0(X209,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X209),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_77])]) ).
fof(i_0_123,plain,
! [X168,X169] :
( ~ aSet0(X168)
| ~ isFinite0(X168)
| ~ aSubsetOf0(X169,X168)
| isFinite0(X169) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
fof(i_0_124,plain,
! [X223] :
( ( ~ aElementOf0(sbrdtbr0(X223),szNzAzT0)
| isFinite0(X223)
| ~ aSet0(X223) )
& ( ~ isFinite0(X223)
| aElementOf0(sbrdtbr0(X223),szNzAzT0)
| ~ aSet0(X223) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(i_0_125,plain,
! [X205] :
( ( aElementOf0(esk5_1(X205),szNzAzT0)
| X205 = sz00
| ~ aElementOf0(X205,szNzAzT0) )
& ( X205 = szszuzczcdt0(esk5_1(X205))
| X205 = sz00
| ~ aElementOf0(X205,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
fof(i_0_126,plain,
! [X221] :
( ~ aElementOf0(X221,szNzAzT0)
| iLess0(X221,szszuzczcdt0(X221)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_127,plain,
! [X212] :
( ~ aElementOf0(X212,szNzAzT0)
| sdtlseqdt0(X212,szszuzczcdt0(X212)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_128,plain,
! [X202] :
( ( aElementOf0(szszuzczcdt0(X202),szNzAzT0)
| ~ aElementOf0(X202,szNzAzT0) )
& ( szszuzczcdt0(X202) != sz00
| ~ aElementOf0(X202,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(i_0_129,plain,
! [X213] :
( ~ aElementOf0(X213,szNzAzT0)
| sdtlseqdt0(X213,X213) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_130,plain,
! [X155,X156] :
( ~ aSet0(X155)
| ~ aElementOf0(X156,X155)
| aElement0(X156) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_131,plain,
! [X208] :
( ~ aElementOf0(X208,szNzAzT0)
| sdtlseqdt0(sz00,X208) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_132,plain,
! [X259] :
( ~ aElementOf0(X259,szNzAzT0)
| sbrdtbr0(slbdtrb0(X259)) = X259 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
fof(i_0_133,plain,
! [X252] :
( ~ aElementOf0(X252,szNzAzT0)
| isFinite0(slbdtrb0(X252)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_134,plain,
! [X157,X158,X159] :
( ( aSet0(X157)
| X157 != slcrc0 )
& ( ~ aElementOf0(X158,X157)
| X157 != slcrc0 )
& ( ~ aSet0(X159)
| aElementOf0(esk1_1(X159),X159)
| X159 = 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_135,plain,
! [X207] :
( ~ aElementOf0(X207,szNzAzT0)
| X207 != szszuzczcdt0(X207) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_136,plain,
! [X170] :
( ~ aSet0(X170)
| aSubsetOf0(X170,X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_137,plain,
! [X161] :
( ~ aSet0(X161)
| ~ isCountable0(X161)
| ~ isFinite0(X161) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_78])]) ).
fof(i_0_138,plain,
! [X222] :
( ~ aSet0(X222)
| aElement0(sbrdtbr0(X222)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_139,plain,
! [X280] :
( ~ aFunction0(X280)
| aSet0(szDzozmdt0(X280)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
fof(i_0_140,plain,
! [X162] :
( ~ aSet0(X162)
| ~ isCountable0(X162)
| X162 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_141,plain,
! [X224] :
( ( sbrdtbr0(X224) != sz00
| X224 = slcrc0
| ~ aSet0(X224) )
& ( X224 != slcrc0
| sbrdtbr0(X224) = sz00
| ~ aSet0(X224) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
fof(i_0_142,hypothesis,
xK = sz00,
inference(fof_simplification,[status(thm)],[m__3520]) ).
cnf(i_0_143,hypothesis,
( sdtlpdtrp0(X4,X1) = esk20_3(X2,X3,X4)
| ~ aElementOf0(X1,slbdtsldtrb0(esk21_3(X2,X3,X4),X2))
| ~ iLess0(X2,xK)
| ~ aFunction0(X4)
| szDzozmdt0(X4) != slbdtsldtrb0(X3,X2)
| ~ aSubsetOf0(sdtlcdtrc0(X4,szDzozmdt0(X4)),xT)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ isCountable0(X3)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_144,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_80]),
[final] ).
cnf(i_0_145,plain,
( X3 = sdtlbdtrb0(X1,X2)
| ~ aElementOf0(esk13_3(X1,X2,X3),X3)
| ~ aElementOf0(esk13_3(X1,X2,X3),szDzozmdt0(X1))
| sdtlpdtrp0(X1,esk13_3(X1,X2,X3)) != X2
| ~ aSet0(X3)
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_146,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_82]),
[final] ).
cnf(i_0_147,plain,
( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
| ~ aElementOf0(X4,X3)
| X3 != sdtlcdtrc0(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_148,plain,
( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
| ~ aElementOf0(X4,X3)
| X3 != sdtlcdtrc0(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_149,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_84]),
[final] ).
cnf(i_0_150,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_84]),
[final] ).
cnf(i_0_151,plain,
( X1 = sdtexdt0(X2,X3)
| sdtlpdtrp0(X1,esk17_3(X2,X3,X1)) != sdtlpdtrp0(X2,esk17_3(X2,X3,X1))
| ~ aFunction0(X1)
| szDzozmdt0(X1) != X3
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_152,plain,
( X3 = sdtlcdtrc0(X1,X2)
| ~ aElementOf0(esk15_3(X1,X2,X3),X3)
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != esk15_3(X1,X2,X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_153,plain,
( sdtlpdtrp0(X1,esk16_3(X1,X2,X3)) = esk15_3(X1,X2,X3)
| aElementOf0(esk15_3(X1,X2,X3),X3)
| X3 = sdtlcdtrc0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_154,plain,
( aSubsetOf0(X1,slbdtsldtrb0(esk12_3(X2,X3,X1),X3))
| ~ aSubsetOf0(X1,slbdtsldtrb0(X2,X3))
| ~ isFinite0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_155,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_84]),
[final] ).
cnf(i_0_156,hypothesis,
( aSubsetOf0(esk21_3(X1,X2,X3),X2)
| ~ iLess0(X1,xK)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_157,plain,
( aElementOf0(esk16_3(X1,X2,X3),X2)
| aElementOf0(esk15_3(X1,X2,X3),X3)
| X3 = sdtlcdtrc0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_158,hypothesis,
( aElementOf0(esk20_3(X1,X2,X3),xT)
| ~ iLess0(X1,xK)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_159,hypothesis,
( isCountable0(esk21_3(X1,X2,X3))
| ~ iLess0(X1,xK)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_160,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_82]),
[final] ).
cnf(i_0_161,plain,
( aElementOf0(esk13_3(X1,X2,X3),szDzozmdt0(X1))
| aElementOf0(esk13_3(X1,X2,X3),X3)
| X3 = sdtlbdtrb0(X1,X2)
| ~ aSet0(X3)
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_162,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_82]),
[final] ).
cnf(i_0_163,plain,
( sdtlpdtrp0(X1,esk13_3(X1,X2,X3)) = X2
| aElementOf0(esk13_3(X1,X2,X3),X3)
| X3 = sdtlbdtrb0(X1,X2)
| ~ aSet0(X3)
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_164,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_80]),
[final] ).
cnf(i_0_165,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_87]),
[final] ).
cnf(i_0_166,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_80]),
[final] ).
cnf(i_0_167,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_84]),
[final] ).
cnf(i_0_168,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_80]),
[final] ).
cnf(i_0_169,plain,
( aSubsetOf0(esk12_3(X1,X2,X3),X1)
| ~ aSubsetOf0(X3,slbdtsldtrb0(X1,X2))
| ~ isFinite0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_170,plain,
( isFinite0(esk12_3(X1,X2,X3))
| ~ aSubsetOf0(X3,slbdtsldtrb0(X1,X2))
| ~ isFinite0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_171,plain,
( aElementOf0(esk17_3(X1,X2,X3),X2)
| X3 = sdtexdt0(X1,X2)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != X2
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_172,plain,
( X1 = sz00
| slbdtsldtrb0(X2,X1) = slcrc0
| aSubsetOf0(X2,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(slbdtsldtrb0(X2,X1),slbdtsldtrb0(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_173,plain,
( sdtlpdtrp0(X1,esk18_2(X1,X2)) = sdtlpdtrp0(X1,esk19_2(X1,X2))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_174,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_87]),
[final] ).
cnf(i_0_175,plain,
( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_176,plain,
( aElementOf0(X4,X5)
| ~ aElementOf0(X1,X2)
| sdtlpdtrp0(X3,X1) != X4
| X5 != sdtlcdtrc0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_177,plain,
( aElementOf0(esk19_2(X1,X2),szDzozmdt0(X1))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_178,plain,
( aElementOf0(esk18_2(X1,X2),szDzozmdt0(X1))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_179,plain,
( isCountable0(sdtlcdtrc0(X1,X2))
| esk18_2(X1,X2) != esk19_2(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_180,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_91]),
[final] ).
cnf(i_0_181,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_92]),
[final] ).
cnf(i_0_182,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_183,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_94]),
[final] ).
cnf(i_0_184,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_95]),
[final] ).
cnf(i_0_185,plain,
( sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X4,X1)
| ~ aElementOf0(X1,X2)
| X3 != sdtexdt0(X4,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X4))
| ~ aFunction0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_186,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_96]),
[final] ).
cnf(i_0_187,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_87]),
[final] ).
cnf(i_0_188,negated_conjecture,
( aElementOf0(esk22_2(X1,X2),slbdtsldtrb0(X2,xK))
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_189,negated_conjecture,
( sdtlpdtrp0(xc,esk22_2(X1,X2)) != X1
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_190,plain,
( aElementOf0(X1,X4)
| ~ aElementOf0(X1,szDzozmdt0(X2))
| sdtlpdtrp0(X2,X1) != X3
| X4 != sdtlbdtrb0(X2,X3)
| ~ aFunction0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_191,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_98]),
[final] ).
cnf(i_0_192,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_193,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_194,plain,
( aElement0(szDzizrdt0(X1))
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_195,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_98]),
[final] ).
cnf(i_0_196,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_92]),
[final] ).
cnf(i_0_197,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_82]),
[final] ).
cnf(i_0_198,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_199,plain,
( sdtlseqdt0(X1,X2)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_200,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_201,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_202,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_96]),
[final] ).
cnf(i_0_203,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_204,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_205,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_206,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_207,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_80]),
[final] ).
cnf(i_0_208,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_209,plain,
( aElementOf0(X1,szDzozmdt0(X2))
| ~ aElementOf0(X1,X3)
| X3 != sdtlbdtrb0(X2,X4)
| ~ aFunction0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_210,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_211,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_212,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_213,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_214,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_215,plain,
( sdtlpdtrp0(X1,X2) = X3
| ~ aElementOf0(X2,X4)
| X4 != sdtlbdtrb0(X1,X3)
| ~ aFunction0(X1)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_216,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_217,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_218,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_219,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_220,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_221,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_222,plain,
( aElement0(sdtlpdtrp0(X1,X2))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_223,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_224,plain,
( szDzozmdt0(X1) = X2
| X1 != sdtexdt0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_225,plain,
( aFunction0(X1)
| X1 != sdtexdt0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_226,plain,
( aSet0(X1)
| X1 != sdtlcdtrc0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_227,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_228,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_229,plain,
( X2 = sz00
| isCountable0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_230,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_231,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_232,plain,
( isFinite0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_233,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_234,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_235,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_236,plain,
( aElementOf0(X1,X3)
| X1 != X2
| ~ aElement0(X1)
| X3 != sdtpldt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_237,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_238,plain,
( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_239,plain,
( aSubsetOf0(X1,slbdtrb0(esk10_1(X1)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_240,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_241,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_242,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_243,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_244,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_245,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_246,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_247,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_248,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_249,plain,
( aElementOf0(esk10_1(X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_250,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_251,plain,
( aSet0(X1)
| X1 != sdtlbdtrb0(X2,X3)
| ~ aFunction0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_252,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_253,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_254,hypothesis,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_255,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_256,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_257,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_258,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_259,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_260,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_261,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_262,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_263,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_264,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_265,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_266,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_267,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_268,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_269,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_270,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_271,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_272,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_273,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_274,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_275,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_276,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_277,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_278,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_279,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_280,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_281,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_282,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3435]),
[final] ).
cnf(i_0_283,hypothesis,
aElementOf0(xK,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3418]),
[final] ).
cnf(i_0_284,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_285,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_286,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_287,hypothesis,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[m__3435]),
[final] ).
cnf(i_0_288,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_289,hypothesis,
isFinite0(xT),
inference(split_conjunct,[status(thm)],[m__3291]),
[final] ).
cnf(i_0_290,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_291,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]),
[final] ).
cnf(i_0_292,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_293,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]),
[final] ).
cnf(i_0_294,hypothesis,
xK != sz00,
inference(split_conjunct,[status(thm)],[m__3462]),
[final] ).
cnf(i_0_295,hypothesis,
xK = sz00,
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_296,axiom,
X1 = X1 ).
cnf(i_0_297,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_298,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_299,axiom,
( X1 != X2
| sdtlpdtrp0(X1,X3) = sdtlpdtrp0(X2,X3) ) ).
cnf(i_0_300,axiom,
( X1 != X2
| sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X3,X2) ) ).
cnf(i_0_301,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_302,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_303,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_304,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_305,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_306,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_307,axiom,
( X1 != X2
| sdtexdt0(X1,X3) = sdtexdt0(X2,X3) ) ).
cnf(i_0_308,axiom,
( X1 != X2
| sdtexdt0(X3,X1) = sdtexdt0(X3,X2) ) ).
cnf(i_0_309,axiom,
( X1 != X2
| esk15_3(X1,X3,X4) = esk15_3(X2,X3,X4) ) ).
cnf(i_0_310,axiom,
( X1 != X2
| esk15_3(X3,X1,X4) = esk15_3(X3,X2,X4) ) ).
cnf(i_0_311,axiom,
( X1 != X2
| esk15_3(X3,X4,X1) = esk15_3(X3,X4,X2) ) ).
cnf(i_0_312,axiom,
( X1 != X2
| esk20_3(X1,X3,X4) = esk20_3(X2,X3,X4) ) ).
cnf(i_0_313,axiom,
( X1 != X2
| esk20_3(X3,X1,X4) = esk20_3(X3,X2,X4) ) ).
cnf(i_0_314,axiom,
( X1 != X2
| esk20_3(X3,X4,X1) = esk20_3(X3,X4,X2) ) ).
cnf(i_0_315,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_316,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_317,axiom,
( X1 != X2
| esk18_2(X1,X3) = esk18_2(X2,X3) ) ).
cnf(i_0_318,axiom,
( X1 != X2
| esk18_2(X3,X1) = esk18_2(X3,X2) ) ).
cnf(i_0_319,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_320,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_321,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_322,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_323,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_324,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_325,axiom,
( X1 != X2
| szDzozmdt0(X1) = szDzozmdt0(X2) ) ).
cnf(i_0_326,axiom,
( X1 != X2
| sdtlcdtrc0(X1,X3) = sdtlcdtrc0(X2,X3) ) ).
cnf(i_0_327,axiom,
( X1 != X2
| sdtlcdtrc0(X3,X1) = sdtlcdtrc0(X3,X2) ) ).
cnf(i_0_328,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_329,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_330,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_331,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_332,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_333,axiom,
( X1 != X2
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X2,X3) ) ).
cnf(i_0_334,axiom,
( X1 != X2
| sdtlbdtrb0(X3,X1) = sdtlbdtrb0(X3,X2) ) ).
cnf(i_0_335,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_336,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_337,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_338,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_339,axiom,
( X1 != X2
| ~ aFunction0(X1)
| aFunction0(X2) ) ).
cnf(i_0_340,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_341,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_342,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_343,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_344,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_345,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_346,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_347,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_379,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[273]) ).
cnf(c_0_298,hypothesis,
xK != sz00,
i_0_294 ).
cnf(c_0_299,hypothesis,
xK = sz00,
i_0_295 ).
cnf(c_0_300,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_299])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM634+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n014.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 00:52:36 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.47/30.79 % Version : CSE_E---1.7
% 0.47/30.79 % Problem : theBenchmark.p
% 0.47/30.79 % SZS status Theorem for theBenchmark.p
% 0.47/30.79 % SZS output start CNFRefutation
% See solution above
% 0.61/30.82 % Total time : 30.446s
%------------------------------------------------------------------------------