%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM587+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 : n029.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 04:57:55 PM UTC 2026
% Result : Theorem 0.44s 1.61s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 164)
% 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(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(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4151) ).
fof(m__3965,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3965) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mSelExtra) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
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(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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDirichlet) ).
fof(m__3821,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& X1 != X2 )
=> szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3821) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
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(mImgRng,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox2/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/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(mImgElm,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElement0(sdtlpdtrp0(X1,X2)) ) ),
file('/export/starexec/sandbox2/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/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(mPttSet,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPttSet) ).
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(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
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(m__,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
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__4237,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4237) ).
fof(m__4263,hypothesis,
( xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4263) ).
fof(m__4200_02,hypothesis,
aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200_02) ).
fof(m__3453,hypothesis,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(m__3435,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(m__4200,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4200) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(m__3418,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
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(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(m__3520,hypothesis,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
fof(m__3462,hypothesis,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(i_0_84,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_85,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_86,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
inference(fof_simplification,[status(thm)],[mSelNSet]) ).
fof(i_0_87,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(i_0_88,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(i_0_89,hypothesis,
! [X337,X338] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( aFunction0(sdtlpdtrp0(xC,X337))
| ~ aElementOf0(X337,szNzAzT0) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X337)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X337),szmzizndt0(sdtlpdtrp0(xN,X337))),xk)
| ~ aElementOf0(X337,szNzAzT0) )
& ( ~ aSet0(X338)
| ~ aElementOf0(X338,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X337),szmzizndt0(sdtlpdtrp0(xN,X337))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X337),X338) = sdtlpdtrp0(xc,sdtpldt0(X338,szmzizndt0(sdtlpdtrp0(xN,X337))))
| ~ aElementOf0(X337,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4151])])])]) ).
fof(i_0_90,hypothesis,
! [X335,X336] :
( ~ aElementOf0(X335,szNzAzT0)
| ~ aSet0(X336)
| ~ aElementOf0(X336,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X335),szmzizndt0(sdtlpdtrp0(xN,X335))),xk))
| aElementOf0(sdtpldt0(X336,szmzizndt0(sdtlpdtrp0(xN,X335))),slbdtsldtrb0(xS,xK)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3965])])]) ).
fof(i_0_91,hypothesis,
! [X323,X324,X325,X328] :
( ( aElementOf0(esk20_3(X323,X324,X325),xT)
| ~ iLess0(X323,xK)
| ~ aFunction0(X325)
| szDzozmdt0(X325) != slbdtsldtrb0(X324,X323)
| ~ aSubsetOf0(sdtlcdtrc0(X325,szDzozmdt0(X325)),xT)
| ~ aSubsetOf0(X324,szNzAzT0)
| ~ isCountable0(X324)
| ~ aElementOf0(X323,szNzAzT0) )
& ( aSubsetOf0(esk21_3(X323,X324,X325),X324)
| ~ iLess0(X323,xK)
| ~ aFunction0(X325)
| szDzozmdt0(X325) != slbdtsldtrb0(X324,X323)
| ~ aSubsetOf0(sdtlcdtrc0(X325,szDzozmdt0(X325)),xT)
| ~ aSubsetOf0(X324,szNzAzT0)
| ~ isCountable0(X324)
| ~ aElementOf0(X323,szNzAzT0) )
& ( isCountable0(esk21_3(X323,X324,X325))
| ~ iLess0(X323,xK)
| ~ aFunction0(X325)
| szDzozmdt0(X325) != slbdtsldtrb0(X324,X323)
| ~ aSubsetOf0(sdtlcdtrc0(X325,szDzozmdt0(X325)),xT)
| ~ aSubsetOf0(X324,szNzAzT0)
| ~ isCountable0(X324)
| ~ aElementOf0(X323,szNzAzT0) )
& ( ~ aElementOf0(X328,slbdtsldtrb0(esk21_3(X323,X324,X325),X323))
| sdtlpdtrp0(X325,X328) = esk20_3(X323,X324,X325)
| ~ iLess0(X323,xK)
| ~ aFunction0(X325)
| szDzozmdt0(X325) != slbdtsldtrb0(X324,X323)
| ~ aSubsetOf0(sdtlcdtrc0(X325,szDzozmdt0(X325)),xT)
| ~ aSubsetOf0(X324,szNzAzT0)
| ~ isCountable0(X324)
| ~ aElementOf0(X323,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_92,plain,
! [X190,X191,X192,X193,X194,X195] :
( ( aSet0(X192)
| X192 != sdtmndt0(X190,X191)
| ~ aSet0(X190)
| ~ aElement0(X191) )
& ( aElement0(X193)
| ~ aElementOf0(X193,X192)
| X192 != sdtmndt0(X190,X191)
| ~ aSet0(X190)
| ~ aElement0(X191) )
& ( aElementOf0(X193,X190)
| ~ aElementOf0(X193,X192)
| X192 != sdtmndt0(X190,X191)
| ~ aSet0(X190)
| ~ aElement0(X191) )
& ( X193 != X191
| ~ aElementOf0(X193,X192)
| X192 != sdtmndt0(X190,X191)
| ~ aSet0(X190)
| ~ aElement0(X191) )
& ( ~ aElement0(X194)
| ~ aElementOf0(X194,X190)
| X194 = X191
| aElementOf0(X194,X192)
| X192 != sdtmndt0(X190,X191)
| ~ aSet0(X190)
| ~ aElement0(X191) )
& ( ~ aElementOf0(esk4_3(X190,X191,X195),X195)
| ~ aElement0(esk4_3(X190,X191,X195))
| ~ aElementOf0(esk4_3(X190,X191,X195),X190)
| esk4_3(X190,X191,X195) = X191
| ~ aSet0(X195)
| X195 = sdtmndt0(X190,X191)
| ~ aSet0(X190)
| ~ aElement0(X191) )
& ( aElement0(esk4_3(X190,X191,X195))
| aElementOf0(esk4_3(X190,X191,X195),X195)
| ~ aSet0(X195)
| X195 = sdtmndt0(X190,X191)
| ~ aSet0(X190)
| ~ aElement0(X191) )
& ( aElementOf0(esk4_3(X190,X191,X195),X190)
| aElementOf0(esk4_3(X190,X191,X195),X195)
| ~ aSet0(X195)
| X195 = sdtmndt0(X190,X191)
| ~ aSet0(X190)
| ~ aElement0(X191) )
& ( esk4_3(X190,X191,X195) != X191
| aElementOf0(esk4_3(X190,X191,X195),X195)
| ~ aSet0(X195)
| X195 = sdtmndt0(X190,X191)
| ~ aSet0(X190)
| ~ aElement0(X191) ) ),
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_93,plain,
! [X290,X291,X292,X293,X294,X295] :
( ( aSet0(X292)
| X292 != sdtlbdtrb0(X290,X291)
| ~ aFunction0(X290)
| ~ aElement0(X291) )
& ( aElementOf0(X293,szDzozmdt0(X290))
| ~ aElementOf0(X293,X292)
| X292 != sdtlbdtrb0(X290,X291)
| ~ aFunction0(X290)
| ~ aElement0(X291) )
& ( sdtlpdtrp0(X290,X293) = X291
| ~ aElementOf0(X293,X292)
| X292 != sdtlbdtrb0(X290,X291)
| ~ aFunction0(X290)
| ~ aElement0(X291) )
& ( ~ aElementOf0(X294,szDzozmdt0(X290))
| sdtlpdtrp0(X290,X294) != X291
| aElementOf0(X294,X292)
| X292 != sdtlbdtrb0(X290,X291)
| ~ aFunction0(X290)
| ~ aElement0(X291) )
& ( ~ aElementOf0(esk13_3(X290,X291,X295),X295)
| ~ aElementOf0(esk13_3(X290,X291,X295),szDzozmdt0(X290))
| sdtlpdtrp0(X290,esk13_3(X290,X291,X295)) != X291
| ~ aSet0(X295)
| X295 = sdtlbdtrb0(X290,X291)
| ~ aFunction0(X290)
| ~ aElement0(X291) )
& ( aElementOf0(esk13_3(X290,X291,X295),szDzozmdt0(X290))
| aElementOf0(esk13_3(X290,X291,X295),X295)
| ~ aSet0(X295)
| X295 = sdtlbdtrb0(X290,X291)
| ~ aFunction0(X290)
| ~ aElement0(X291) )
& ( sdtlpdtrp0(X290,esk13_3(X290,X291,X295)) = X291
| aElementOf0(esk13_3(X290,X291,X295),X295)
| ~ aSet0(X295)
| X295 = sdtlbdtrb0(X290,X291)
| ~ aFunction0(X290)
| ~ aElement0(X291) ) ),
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_94,plain,
! [X267,X268,X269,X270,X271,X272] :
( ( aSet0(X269)
| X269 != slbdtsldtrb0(X267,X268)
| ~ aSet0(X267)
| ~ aElementOf0(X268,szNzAzT0) )
& ( aSubsetOf0(X270,X267)
| ~ aElementOf0(X270,X269)
| X269 != slbdtsldtrb0(X267,X268)
| ~ aSet0(X267)
| ~ aElementOf0(X268,szNzAzT0) )
& ( sbrdtbr0(X270) = X268
| ~ aElementOf0(X270,X269)
| X269 != slbdtsldtrb0(X267,X268)
| ~ aSet0(X267)
| ~ aElementOf0(X268,szNzAzT0) )
& ( ~ aSubsetOf0(X271,X267)
| sbrdtbr0(X271) != X268
| aElementOf0(X271,X269)
| X269 != slbdtsldtrb0(X267,X268)
| ~ aSet0(X267)
| ~ aElementOf0(X268,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X267,X268,X272),X272)
| ~ aSubsetOf0(esk11_3(X267,X268,X272),X267)
| sbrdtbr0(esk11_3(X267,X268,X272)) != X268
| ~ aSet0(X272)
| X272 = slbdtsldtrb0(X267,X268)
| ~ aSet0(X267)
| ~ aElementOf0(X268,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X267,X268,X272),X267)
| aElementOf0(esk11_3(X267,X268,X272),X272)
| ~ aSet0(X272)
| X272 = slbdtsldtrb0(X267,X268)
| ~ aSet0(X267)
| ~ aElementOf0(X268,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X267,X268,X272)) = X268
| aElementOf0(esk11_3(X267,X268,X272),X272)
| ~ aSet0(X272)
| X272 = slbdtsldtrb0(X267,X268)
| ~ aSet0(X267)
| ~ aElementOf0(X268,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_95,plain,
! [X299,X300,X301,X302,X304,X305,X306,X308] :
( ( aSet0(X301)
| X301 != sdtlcdtrc0(X299,X300)
| ~ aSubsetOf0(X300,szDzozmdt0(X299))
| ~ aFunction0(X299) )
& ( aElementOf0(esk14_4(X299,X300,X301,X302),X300)
| ~ aElementOf0(X302,X301)
| X301 != sdtlcdtrc0(X299,X300)
| ~ aSubsetOf0(X300,szDzozmdt0(X299))
| ~ aFunction0(X299) )
& ( sdtlpdtrp0(X299,esk14_4(X299,X300,X301,X302)) = X302
| ~ aElementOf0(X302,X301)
| X301 != sdtlcdtrc0(X299,X300)
| ~ aSubsetOf0(X300,szDzozmdt0(X299))
| ~ aFunction0(X299) )
& ( ~ aElementOf0(X305,X300)
| sdtlpdtrp0(X299,X305) != X304
| aElementOf0(X304,X301)
| X301 != sdtlcdtrc0(X299,X300)
| ~ aSubsetOf0(X300,szDzozmdt0(X299))
| ~ aFunction0(X299) )
& ( ~ aElementOf0(esk15_3(X299,X300,X306),X306)
| ~ aElementOf0(X308,X300)
| sdtlpdtrp0(X299,X308) != esk15_3(X299,X300,X306)
| ~ aSet0(X306)
| X306 = sdtlcdtrc0(X299,X300)
| ~ aSubsetOf0(X300,szDzozmdt0(X299))
| ~ aFunction0(X299) )
& ( aElementOf0(esk16_3(X299,X300,X306),X300)
| aElementOf0(esk15_3(X299,X300,X306),X306)
| ~ aSet0(X306)
| X306 = sdtlcdtrc0(X299,X300)
| ~ aSubsetOf0(X300,szDzozmdt0(X299))
| ~ aFunction0(X299) )
& ( sdtlpdtrp0(X299,esk16_3(X299,X300,X306)) = esk15_3(X299,X300,X306)
| aElementOf0(esk15_3(X299,X300,X306),X306)
| ~ aSet0(X306)
| X306 = sdtlcdtrc0(X299,X300)
| ~ aSubsetOf0(X300,szDzozmdt0(X299))
| ~ aFunction0(X299) ) ),
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_96,plain,
! [X183,X184,X185,X186,X187,X188] :
( ( aSet0(X185)
| X185 != sdtpldt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( aElement0(X186)
| ~ aElementOf0(X186,X185)
| X185 != sdtpldt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( aElementOf0(X186,X183)
| X186 = X184
| ~ aElementOf0(X186,X185)
| X185 != sdtpldt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( ~ aElementOf0(X187,X183)
| ~ aElement0(X187)
| aElementOf0(X187,X185)
| X185 != sdtpldt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( X187 != X184
| ~ aElement0(X187)
| aElementOf0(X187,X185)
| X185 != sdtpldt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( ~ aElementOf0(esk3_3(X183,X184,X188),X183)
| ~ aElement0(esk3_3(X183,X184,X188))
| ~ aElementOf0(esk3_3(X183,X184,X188),X188)
| ~ aSet0(X188)
| X188 = sdtpldt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( esk3_3(X183,X184,X188) != X184
| ~ aElement0(esk3_3(X183,X184,X188))
| ~ aElementOf0(esk3_3(X183,X184,X188),X188)
| ~ aSet0(X188)
| X188 = sdtpldt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( aElement0(esk3_3(X183,X184,X188))
| aElementOf0(esk3_3(X183,X184,X188),X188)
| ~ aSet0(X188)
| X188 = sdtpldt0(X183,X184)
| ~ aSet0(X183)
| ~ aElement0(X184) )
& ( aElementOf0(esk3_3(X183,X184,X188),X183)
| esk3_3(X183,X184,X188) = X184
| aElementOf0(esk3_3(X183,X184,X188),X188)
| ~ aSet0(X188)
| X188 = sdtpldt0(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)],[mDefCons])])])])])]) ).
fof(i_0_97,plain,
! [X312,X313,X314,X315,X316] :
( ( aFunction0(X314)
| X314 != sdtexdt0(X312,X313)
| ~ aSubsetOf0(X313,szDzozmdt0(X312))
| ~ aFunction0(X312) )
& ( szDzozmdt0(X314) = X313
| X314 != sdtexdt0(X312,X313)
| ~ aSubsetOf0(X313,szDzozmdt0(X312))
| ~ aFunction0(X312) )
& ( ~ aElementOf0(X315,X313)
| sdtlpdtrp0(X314,X315) = sdtlpdtrp0(X312,X315)
| X314 != sdtexdt0(X312,X313)
| ~ aSubsetOf0(X313,szDzozmdt0(X312))
| ~ aFunction0(X312) )
& ( aElementOf0(esk17_3(X312,X313,X316),X313)
| ~ aFunction0(X316)
| szDzozmdt0(X316) != X313
| X316 = sdtexdt0(X312,X313)
| ~ aSubsetOf0(X313,szDzozmdt0(X312))
| ~ aFunction0(X312) )
& ( sdtlpdtrp0(X316,esk17_3(X312,X313,X316)) != sdtlpdtrp0(X312,esk17_3(X312,X313,X316))
| ~ aFunction0(X316)
| szDzozmdt0(X316) != X313
| X316 = sdtexdt0(X312,X313)
| ~ aSubsetOf0(X313,szDzozmdt0(X312))
| ~ aFunction0(X312) ) ),
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_98,plain,
! [X283,X284,X285] :
( ( aSubsetOf0(esk12_3(X283,X284,X285),X283)
| ~ aSubsetOf0(X285,slbdtsldtrb0(X283,X284))
| ~ isFinite0(X285)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( isFinite0(esk12_3(X283,X284,X285))
| ~ aSubsetOf0(X285,slbdtsldtrb0(X283,X284))
| ~ isFinite0(X285)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( aSubsetOf0(X285,slbdtsldtrb0(esk12_3(X283,X284,X285),X284))
| ~ aSubsetOf0(X285,slbdtsldtrb0(X283,X284))
| ~ isFinite0(X285)
| ~ aSet0(X283)
| ~ aElementOf0(X284,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_99,hypothesis,
! [X329] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X329)),sdtmndt0(sdtlpdtrp0(xN,X329),szmzizndt0(sdtlpdtrp0(xN,X329))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X329),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X329))
| ~ aElementOf0(X329,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X329)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X329),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X329))
| ~ aElementOf0(X329,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])]) ).
fof(i_0_100,plain,
! [X253,X254,X255,X256,X257] :
( ( aSet0(X254)
| X254 != slbdtrb0(X253)
| ~ aElementOf0(X253,szNzAzT0) )
& ( aElementOf0(X255,szNzAzT0)
| ~ aElementOf0(X255,X254)
| X254 != slbdtrb0(X253)
| ~ aElementOf0(X253,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X255),X253)
| ~ aElementOf0(X255,X254)
| X254 != slbdtrb0(X253)
| ~ aElementOf0(X253,szNzAzT0) )
& ( ~ aElementOf0(X256,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X256),X253)
| aElementOf0(X256,X254)
| X254 != slbdtrb0(X253)
| ~ aElementOf0(X253,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X253,X257),X257)
| ~ aElementOf0(esk9_2(X253,X257),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X253,X257)),X253)
| ~ aSet0(X257)
| X257 = slbdtrb0(X253)
| ~ aElementOf0(X253,szNzAzT0) )
& ( aElementOf0(esk9_2(X253,X257),szNzAzT0)
| aElementOf0(esk9_2(X253,X257),X257)
| ~ aSet0(X257)
| X257 = slbdtrb0(X253)
| ~ aElementOf0(X253,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X253,X257)),X253)
| aElementOf0(esk9_2(X253,X257),X257)
| ~ aSet0(X257)
| X257 = slbdtrb0(X253)
| ~ aElementOf0(X253,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_101,plain,
! [X280,X281,X282] :
( ~ aElementOf0(X280,szNzAzT0)
| ~ aSet0(X281)
| ~ aSet0(X282)
| X280 = sz00
| ~ aSubsetOf0(slbdtsldtrb0(X281,X280),slbdtsldtrb0(X282,X280))
| slbdtsldtrb0(X281,X280) = slcrc0
| aSubsetOf0(X281,X282) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelSub])])]) ).
fof(i_0_102,plain,
! [X318,X319] :
( ( aElementOf0(esk18_2(X318,X319),szDzozmdt0(X318))
| isCountable0(sdtlcdtrc0(X318,X319))
| ~ aSubsetOf0(X319,szDzozmdt0(X318))
| ~ isCountable0(X319)
| ~ aFunction0(X318) )
& ( aElementOf0(esk19_2(X318,X319),szDzozmdt0(X318))
| isCountable0(sdtlcdtrc0(X318,X319))
| ~ aSubsetOf0(X319,szDzozmdt0(X318))
| ~ isCountable0(X319)
| ~ aFunction0(X318) )
& ( esk18_2(X318,X319) != esk19_2(X318,X319)
| isCountable0(sdtlcdtrc0(X318,X319))
| ~ aSubsetOf0(X319,szDzozmdt0(X318))
| ~ isCountable0(X319)
| ~ aFunction0(X318) )
& ( sdtlpdtrp0(X318,esk18_2(X318,X319)) = sdtlpdtrp0(X318,esk19_2(X318,X319))
| isCountable0(sdtlcdtrc0(X318,X319))
| ~ aSubsetOf0(X319,szDzozmdt0(X318))
| ~ isCountable0(X319)
| ~ aFunction0(X318) ) ),
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_103,plain,
! [X322] :
( ( aElement0(szDzizrdt0(X322))
| ~ isCountable0(szDzozmdt0(X322))
| ~ isFinite0(sdtlcdtrc0(X322,szDzozmdt0(X322)))
| ~ aFunction0(X322) )
& ( isCountable0(sdtlbdtrb0(X322,szDzizrdt0(X322)))
| ~ isCountable0(szDzozmdt0(X322))
| ~ isFinite0(sdtlcdtrc0(X322,szDzozmdt0(X322)))
| ~ aFunction0(X322) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDirichlet])])]) ).
fof(i_0_104,hypothesis,
! [X333,X334] :
( ~ aElementOf0(X333,szNzAzT0)
| ~ aElementOf0(X334,szNzAzT0)
| X333 = X334
| szmzizndt0(sdtlpdtrp0(xN,X333)) != szmzizndt0(sdtlpdtrp0(xN,X334)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3821])]) ).
fof(i_0_105,hypothesis,
! [X331,X332] :
( ~ aElementOf0(X331,szNzAzT0)
| ~ aElementOf0(X332,szNzAzT0)
| ~ sdtlseqdt0(X332,X331)
| aSubsetOf0(sdtlpdtrp0(xN,X331),sdtlpdtrp0(xN,X332)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])]) ).
fof(i_0_106,plain,
! [X223,X224,X225] :
( ~ aElementOf0(X223,szNzAzT0)
| ~ aElementOf0(X224,szNzAzT0)
| ~ aElementOf0(X225,szNzAzT0)
| ~ sdtlseqdt0(X223,X224)
| ~ sdtlseqdt0(X224,X225)
| sdtlseqdt0(X223,X225) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(i_0_107,plain,
! [X246,X247,X248,X249] :
( ( aElementOf0(X247,X246)
| X247 != szmzazxdt0(X246)
| ~ aSubsetOf0(X246,szNzAzT0)
| ~ isFinite0(X246)
| X246 = slcrc0 )
& ( ~ aElementOf0(X248,X246)
| sdtlseqdt0(X248,X247)
| X247 != szmzazxdt0(X246)
| ~ aSubsetOf0(X246,szNzAzT0)
| ~ isFinite0(X246)
| X246 = slcrc0 )
& ( aElementOf0(esk8_2(X246,X249),X246)
| ~ aElementOf0(X249,X246)
| X249 = szmzazxdt0(X246)
| ~ aSubsetOf0(X246,szNzAzT0)
| ~ isFinite0(X246)
| X246 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X246,X249),X249)
| ~ aElementOf0(X249,X246)
| X249 = szmzazxdt0(X246)
| ~ aSubsetOf0(X246,szNzAzT0)
| ~ isFinite0(X246)
| X246 = 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_108,plain,
! [X310,X311] :
( ~ aFunction0(X310)
| ~ aElementOf0(X311,szDzozmdt0(X310))
| aElementOf0(sdtlpdtrp0(X310,X311),sdtlcdtrc0(X310,szDzozmdt0(X310))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgRng])])]) ).
fof(i_0_109,plain,
! [X251,X252] :
( ~ aSubsetOf0(X251,szNzAzT0)
| ~ aSubsetOf0(X252,szNzAzT0)
| X251 = slcrc0
| X252 = slcrc0
| ~ aElementOf0(szmzizndt0(X251),X252)
| ~ aElementOf0(szmzizndt0(X252),X251)
| szmzizndt0(X251) = szmzizndt0(X252) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMinMin])]) ).
fof(i_0_110,plain,
! [X260,X261] :
( ( ~ aElementOf0(X260,slbdtrb0(szszuzczcdt0(X261)))
| aElementOf0(X260,slbdtrb0(X261))
| X260 = X261
| ~ aElementOf0(X260,szNzAzT0)
| ~ aElementOf0(X261,szNzAzT0) )
& ( ~ aElementOf0(X260,slbdtrb0(X261))
| aElementOf0(X260,slbdtrb0(szszuzczcdt0(X261)))
| ~ aElementOf0(X260,szNzAzT0)
| ~ aElementOf0(X261,szNzAzT0) )
& ( X260 != X261
| aElementOf0(X260,slbdtrb0(szszuzczcdt0(X261)))
| ~ aElementOf0(X260,szNzAzT0)
| ~ aElementOf0(X261,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
fof(i_0_111,plain,
! [X241,X242,X243,X244] :
( ( aElementOf0(X242,X241)
| X242 != szmzizndt0(X241)
| ~ aSubsetOf0(X241,szNzAzT0)
| X241 = slcrc0 )
& ( ~ aElementOf0(X243,X241)
| sdtlseqdt0(X242,X243)
| X242 != szmzizndt0(X241)
| ~ aSubsetOf0(X241,szNzAzT0)
| X241 = slcrc0 )
& ( aElementOf0(esk7_2(X241,X244),X241)
| ~ aElementOf0(X244,X241)
| X244 = szmzizndt0(X241)
| ~ aSubsetOf0(X241,szNzAzT0)
| X241 = slcrc0 )
& ( ~ sdtlseqdt0(X244,esk7_2(X241,X244))
| ~ aElementOf0(X244,X241)
| X244 = szmzizndt0(X241)
| ~ aSubsetOf0(X241,szNzAzT0)
| X241 = 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_112,plain,
! [X238,X239] :
( ( aSubsetOf0(esk6_2(X238,X239),X238)
| ~ isFinite0(X238)
| ~ sdtlseqdt0(X239,sbrdtbr0(X238))
| ~ aSet0(X238)
| ~ aElementOf0(X239,szNzAzT0) )
& ( sbrdtbr0(esk6_2(X238,X239)) = X239
| ~ isFinite0(X238)
| ~ sdtlseqdt0(X239,sbrdtbr0(X238))
| ~ aSet0(X238)
| ~ aElementOf0(X239,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])]) ).
fof(i_0_113,plain,
! [X234,X235] :
( ~ aSet0(X234)
| ~ isFinite0(X234)
| ~ aElementOf0(X235,X234)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X234,X235))) = sbrdtbr0(X234) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])]) ).
fof(i_0_114,plain,
! [X217,X218] :
( ( ~ sdtlseqdt0(X217,X218)
| sdtlseqdt0(szszuzczcdt0(X217),szszuzczcdt0(X218))
| ~ aElementOf0(X217,szNzAzT0)
| ~ aElementOf0(X218,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X217),szszuzczcdt0(X218))
| sdtlseqdt0(X217,X218)
| ~ aElementOf0(X217,szNzAzT0)
| ~ aElementOf0(X218,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(i_0_115,plain,
! [X262,X263] :
( ( ~ sdtlseqdt0(X262,X263)
| aSubsetOf0(slbdtrb0(X262),slbdtrb0(X263))
| ~ aElementOf0(X262,szNzAzT0)
| ~ aElementOf0(X263,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X262),slbdtrb0(X263))
| sdtlseqdt0(X262,X263)
| ~ aElementOf0(X262,szNzAzT0)
| ~ aElementOf0(X263,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
fof(i_0_116,plain,
! [X170,X171,X172,X173] :
( ( aSet0(X171)
| ~ aSubsetOf0(X171,X170)
| ~ aSet0(X170) )
& ( ~ aElementOf0(X172,X171)
| aElementOf0(X172,X170)
| ~ aSubsetOf0(X171,X170)
| ~ aSet0(X170) )
& ( aElementOf0(esk2_2(X170,X173),X173)
| ~ aSet0(X173)
| aSubsetOf0(X173,X170)
| ~ aSet0(X170) )
& ( ~ aElementOf0(esk2_2(X170,X173),X170)
| ~ aSet0(X173)
| aSubsetOf0(X173,X170)
| ~ aSet0(X170) ) ),
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_117,plain,
! [X221,X222] :
( ~ aElementOf0(X221,szNzAzT0)
| ~ aElementOf0(X222,szNzAzT0)
| ~ sdtlseqdt0(X221,X222)
| ~ sdtlseqdt0(X222,X221)
| X221 = X222 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(i_0_118,plain,
! [X180,X181,X182] :
( ~ aSet0(X180)
| ~ aSet0(X181)
| ~ aSet0(X182)
| ~ aSubsetOf0(X180,X181)
| ~ aSubsetOf0(X181,X182)
| aSubsetOf0(X180,X182) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(i_0_119,plain,
! [X232,X233] :
( ~ aSet0(X232)
| ~ isFinite0(X232)
| ~ aElement0(X233)
| aElementOf0(X233,X232)
| sbrdtbr0(sdtpldt0(X232,X233)) = szszuzczcdt0(sbrdtbr0(X232)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_84])])]) ).
fof(i_0_120,plain,
! [X226,X227] :
( ~ aElementOf0(X226,szNzAzT0)
| ~ aElementOf0(X227,szNzAzT0)
| sdtlseqdt0(X226,X227)
| sdtlseqdt0(szszuzczcdt0(X227),X226) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(i_0_121,plain,
! [X197,X198] :
( ~ aSet0(X197)
| ~ aElementOf0(X198,X197)
| sdtpldt0(sdtmndt0(X197,X198),X198) = X197 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
fof(i_0_122,plain,
! [X199,X200] :
( ~ aElement0(X199)
| ~ aSet0(X200)
| aElementOf0(X199,X200)
| sdtmndt0(sdtpldt0(X200,X199),X199) = X200 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_85])]) ).
fof(i_0_123,plain,
! [X288,X289] :
( ~ aFunction0(X288)
| ~ aElementOf0(X289,szDzozmdt0(X288))
| aElement0(sdtlpdtrp0(X288,X289)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgElm])])]) ).
fof(i_0_124,plain,
! [X278,X279] :
( ~ aSet0(X278)
| ~ isCountable0(X278)
| ~ aElementOf0(X279,szNzAzT0)
| X279 = sz00
| isCountable0(slbdtsldtrb0(X278,X279)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelCSet])])]) ).
fof(i_0_125,plain,
! [X274,X275] :
( ~ aSet0(X274)
| ~ isFinite0(X274)
| ~ aElementOf0(X275,szNzAzT0)
| isFinite0(slbdtsldtrb0(X274,X275)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelFSet])])]) ).
fof(i_0_126,plain,
! [X236,X237] :
( ~ aSet0(X236)
| ~ isFinite0(X236)
| ~ aSubsetOf0(X237,X236)
| sdtlseqdt0(sbrdtbr0(X237),sbrdtbr0(X236)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
fof(i_0_127,plain,
! [X178,X179] :
( ~ aSet0(X178)
| ~ aSet0(X179)
| ~ aSubsetOf0(X178,X179)
| ~ aSubsetOf0(X179,X178)
| X178 = X179 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
fof(i_0_128,plain,
! [X297,X298] :
( ~ aFunction0(X297)
| ~ aElement0(X298)
| aSubsetOf0(sdtlbdtrb0(X297,X298),szDzozmdt0(X297)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPttSet])]) ).
fof(i_0_129,plain,
! [X264] :
( ( aElementOf0(esk10_1(X264),szNzAzT0)
| ~ aSubsetOf0(X264,szNzAzT0)
| ~ isFinite0(X264) )
& ( aSubsetOf0(X264,slbdtrb0(esk10_1(X264)))
| ~ aSubsetOf0(X264,szNzAzT0)
| ~ isFinite0(X264) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFinSubSeg])])])]) ).
fof(i_0_130,plain,
! [X210,X211] :
( ~ aElementOf0(X210,szNzAzT0)
| ~ aElementOf0(X211,szNzAzT0)
| szszuzczcdt0(X210) != szszuzczcdt0(X211)
| X210 = X211 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(i_0_131,hypothesis,
! [X330] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X330),szNzAzT0)
| ~ aElementOf0(X330,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X330))
| ~ aElementOf0(X330,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
fof(i_0_132,plain,
! [X276,X277] :
( ~ aSet0(X276)
| isFinite0(X276)
| ~ aElementOf0(X277,szNzAzT0)
| slbdtsldtrb0(X276,X277) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_86])])]) ).
fof(i_0_133,plain,
! [X203,X204] :
( ~ aElement0(X203)
| ~ aSet0(X204)
| ~ isCountable0(X204)
| isCountable0(sdtmndt0(X204,X203)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])]) ).
fof(i_0_134,plain,
! [X201,X202] :
( ~ aElement0(X201)
| ~ aSet0(X202)
| ~ isCountable0(X202)
| isCountable0(sdtpldt0(X202,X201)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])]) ).
fof(i_0_135,plain,
! [X207,X208] :
( ~ aElement0(X207)
| ~ aSet0(X208)
| ~ isFinite0(X208)
| isFinite0(sdtmndt0(X208,X207)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
fof(i_0_136,plain,
! [X205,X206] :
( ~ aElement0(X205)
| ~ aSet0(X206)
| ~ isFinite0(X206)
| isFinite0(sdtpldt0(X206,X205)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])]) ).
fof(i_0_137,plain,
! [X216] :
( ~ aElementOf0(X216,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X216),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_87])]) ).
fof(i_0_138,plain,
! [X175,X176] :
( ~ aSet0(X175)
| ~ isFinite0(X175)
| ~ aSubsetOf0(X176,X175)
| isFinite0(X176) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
fof(i_0_139,plain,
! [X230] :
( ( ~ aElementOf0(sbrdtbr0(X230),szNzAzT0)
| isFinite0(X230)
| ~ aSet0(X230) )
& ( ~ isFinite0(X230)
| aElementOf0(sbrdtbr0(X230),szNzAzT0)
| ~ aSet0(X230) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(i_0_140,plain,
! [X212] :
( ( aElementOf0(esk5_1(X212),szNzAzT0)
| X212 = sz00
| ~ aElementOf0(X212,szNzAzT0) )
& ( X212 = szszuzczcdt0(esk5_1(X212))
| X212 = sz00
| ~ aElementOf0(X212,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
fof(i_0_141,plain,
! [X228] :
( ~ aElementOf0(X228,szNzAzT0)
| iLess0(X228,szszuzczcdt0(X228)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_142,plain,
! [X219] :
( ~ aElementOf0(X219,szNzAzT0)
| sdtlseqdt0(X219,szszuzczcdt0(X219)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_143,plain,
! [X209] :
( ( aElementOf0(szszuzczcdt0(X209),szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0) )
& ( szszuzczcdt0(X209) != sz00
| ~ aElementOf0(X209,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(i_0_144,plain,
! [X220] :
( ~ aElementOf0(X220,szNzAzT0)
| sdtlseqdt0(X220,X220) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_145,plain,
! [X162,X163] :
( ~ aSet0(X162)
| ~ aElementOf0(X163,X162)
| aElement0(X163) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_146,plain,
! [X215] :
( ~ aElementOf0(X215,szNzAzT0)
| sdtlseqdt0(sz00,X215) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_147,plain,
! [X266] :
( ~ aElementOf0(X266,szNzAzT0)
| sbrdtbr0(slbdtrb0(X266)) = X266 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
fof(i_0_148,plain,
! [X259] :
( ~ aElementOf0(X259,szNzAzT0)
| isFinite0(slbdtrb0(X259)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_149,plain,
! [X164,X165,X166] :
( ( aSet0(X164)
| X164 != slcrc0 )
& ( ~ aElementOf0(X165,X164)
| X164 != slcrc0 )
& ( ~ aSet0(X166)
| aElementOf0(esk1_1(X166),X166)
| X166 = 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_150,plain,
! [X214] :
( ~ aElementOf0(X214,szNzAzT0)
| X214 != szszuzczcdt0(X214) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_151,plain,
! [X177] :
( ~ aSet0(X177)
| aSubsetOf0(X177,X177) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_152,plain,
! [X168] :
( ~ aSet0(X168)
| ~ isCountable0(X168)
| ~ isFinite0(X168) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_88])]) ).
fof(i_0_153,negated_conjecture,
~ aElementOf0(xx,xT),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(i_0_154,plain,
! [X229] :
( ~ aSet0(X229)
| aElement0(sbrdtbr0(X229)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_155,plain,
! [X287] :
( ~ aFunction0(X287)
| aSet0(szDzozmdt0(X287)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
fof(i_0_156,plain,
! [X169] :
( ~ aSet0(X169)
| ~ isCountable0(X169)
| X169 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_157,plain,
! [X231] :
( ( sbrdtbr0(X231) != sz00
| X231 = slcrc0
| ~ aSet0(X231) )
& ( X231 != slcrc0
| sbrdtbr0(X231) = sz00
| ~ aSet0(X231) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
cnf(i_0_158,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))),xk))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_159,hypothesis,
( aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_160,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_91]),
[final] ).
cnf(i_0_161,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_92]),
[final] ).
cnf(i_0_162,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_93]),
[final] ).
cnf(i_0_163,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_94]),
[final] ).
cnf(i_0_164,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_95]),
[final] ).
cnf(i_0_165,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_95]),
[final] ).
cnf(i_0_166,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_96]),
[final] ).
cnf(i_0_167,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_96]),
[final] ).
cnf(i_0_168,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_97]),
[final] ).
cnf(i_0_169,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_95]),
[final] ).
cnf(i_0_170,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_95]),
[final] ).
cnf(i_0_171,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_98]),
[final] ).
cnf(i_0_172,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(split_conjunct,[status(thm)],[m__4237]),
[final] ).
cnf(i_0_173,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_174,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_96]),
[final] ).
cnf(i_0_175,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_91]),
[final] ).
cnf(i_0_176,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_95]),
[final] ).
cnf(i_0_177,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_91]),
[final] ).
cnf(i_0_178,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_91]),
[final] ).
cnf(i_0_179,hypothesis,
aElementOf0(sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(split_conjunct,[status(thm)],[m__4263]),
[final] ).
cnf(i_0_180,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_94]),
[final] ).
cnf(i_0_181,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_93]),
[final] ).
cnf(i_0_182,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_94]),
[final] ).
cnf(i_0_183,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_93]),
[final] ).
cnf(i_0_184,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_92]),
[final] ).
cnf(i_0_185,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_100]),
[final] ).
cnf(i_0_186,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_92]),
[final] ).
cnf(i_0_187,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_96]),
[final] ).
cnf(i_0_188,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_92]),
[final] ).
cnf(i_0_189,hypothesis,
( szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_190,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_98]),
[final] ).
cnf(i_0_191,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_98]),
[final] ).
cnf(i_0_192,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_97]),
[final] ).
cnf(i_0_193,hypothesis,
aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
inference(split_conjunct,[status(thm)],[m__4200_02]),
[final] ).
cnf(i_0_194,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_101]),
[final] ).
cnf(i_0_195,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_196,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_102]),
[final] ).
cnf(i_0_197,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_100]),
[final] ).
cnf(i_0_198,plain,
( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_199,hypothesis,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_200,hypothesis,
xx = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(split_conjunct,[status(thm)],[m__4263]),
[final] ).
cnf(i_0_201,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_95]),
[final] ).
cnf(i_0_202,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_102]),
[final] ).
cnf(i_0_203,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_102]),
[final] ).
cnf(i_0_204,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_205,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_102]),
[final] ).
cnf(i_0_206,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_106]),
[final] ).
cnf(i_0_207,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_107]),
[final] ).
cnf(i_0_208,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_209,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_109]),
[final] ).
cnf(i_0_210,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_110]),
[final] ).
cnf(i_0_211,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_97]),
[final] ).
cnf(i_0_212,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_111]),
[final] ).
cnf(i_0_213,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_100]),
[final] ).
cnf(i_0_214,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_93]),
[final] ).
cnf(i_0_215,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_112]),
[final] ).
cnf(i_0_216,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_217,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_218,plain,
( aElement0(szDzizrdt0(X1))
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_219,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_112]),
[final] ).
cnf(i_0_220,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_107]),
[final] ).
cnf(i_0_221,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_94]),
[final] ).
cnf(i_0_222,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_223,plain,
( sdtlseqdt0(X1,X2)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_224,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_225,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_226,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_111]),
[final] ).
cnf(i_0_227,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_228,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_229,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_230,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_231,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_92]),
[final] ).
cnf(i_0_232,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_233,plain,
( aElementOf0(X1,szDzozmdt0(X2))
| ~ aElementOf0(X1,X3)
| X3 != sdtlbdtrb0(X2,X4)
| ~ aFunction0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_234,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_235,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_236,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_237,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_238,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_239,plain,
( sdtlpdtrp0(X1,X2) = X3
| ~ aElementOf0(X2,X4)
| X4 != sdtlbdtrb0(X1,X3)
| ~ aFunction0(X1)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_240,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_241,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_242,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_243,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_244,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_245,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_246,plain,
( aElement0(sdtlpdtrp0(X1,X2))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_247,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_248,plain,
( szDzozmdt0(X1) = X2
| X1 != sdtexdt0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_249,plain,
( aFunction0(X1)
| X1 != sdtexdt0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_250,plain,
( aSet0(X1)
| X1 != sdtlcdtrc0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_251,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_252,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_253,plain,
( X2 = sz00
| isCountable0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_254,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_255,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_256,plain,
( isFinite0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_257,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_258,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_259,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_260,plain,
( aElementOf0(X1,X3)
| X1 != X2
| ~ aElement0(X1)
| X3 != sdtpldt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_261,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_262,plain,
( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_263,plain,
( aSubsetOf0(X1,slbdtrb0(esk10_1(X1)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_264,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_265,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_266,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_267,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_268,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_269,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_270,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_271,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_272,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_273,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_274,hypothesis,
( aFunction0(sdtlpdtrp0(xC,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_275,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_276,plain,
( aElementOf0(esk10_1(X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_277,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_278,plain,
( aSet0(X1)
| X1 != sdtlbdtrb0(X2,X3)
| ~ aFunction0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_279,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_280,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_281,hypothesis,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_282,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_283,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_284,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_285,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_286,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_287,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_288,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_289,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_290,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_291,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_292,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_293,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_294,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_295,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = xx,
inference(split_conjunct,[status(thm)],[m__4237]),
[final] ).
cnf(i_0_296,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_297,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_298,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_299,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_300,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_301,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_302,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_303,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_304,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_305,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_306,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_307,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_308,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_309,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_310,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_311,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3435]),
[final] ).
cnf(i_0_312,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4200]),
[final] ).
cnf(i_0_313,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]),
[final] ).
cnf(i_0_314,hypothesis,
aElementOf0(xK,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3418]),
[final] ).
cnf(i_0_315,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_316,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_317,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_318,hypothesis,
aFunction0(xC),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_319,hypothesis,
aFunction0(xN),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_320,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_321,hypothesis,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[m__3435]),
[final] ).
cnf(i_0_322,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_323,hypothesis,
isFinite0(xT),
inference(split_conjunct,[status(thm)],[m__3291]),
[final] ).
cnf(i_0_324,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_325,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]),
[final] ).
cnf(i_0_326,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_327,hypothesis,
szDzozmdt0(xC) = szNzAzT0,
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_328,hypothesis,
szDzozmdt0(xN) = szNzAzT0,
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_329,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]),
[final] ).
cnf(i_0_330,hypothesis,
szszuzczcdt0(xk) = xK,
inference(split_conjunct,[status(thm)],[m__3533]),
[final] ).
cnf(i_0_331,hypothesis,
xK != sz00,
inference(split_conjunct,[status(thm)],[m__3520]),
[final] ).
cnf(i_0_332,hypothesis,
xK != sz00,
inference(split_conjunct,[status(thm)],[m__3462]),
[final] ).
cnf(i_0_333,axiom,
X1 = X1 ).
cnf(i_0_334,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_335,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_336,axiom,
( X1 != X2
| sdtlpdtrp0(X1,X3) = sdtlpdtrp0(X2,X3) ) ).
cnf(i_0_337,axiom,
( X1 != X2
| sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X3,X2) ) ).
cnf(i_0_338,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_339,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_340,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_341,axiom,
( X1 != X2
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X2,X3) ) ).
cnf(i_0_342,axiom,
( X1 != X2
| sdtlbdtrb0(X3,X1) = sdtlbdtrb0(X3,X2) ) ).
cnf(i_0_343,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_344,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_345,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_346,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_347,axiom,
( X1 != X2
| sdtexdt0(X1,X3) = sdtexdt0(X2,X3) ) ).
cnf(i_0_348,axiom,
( X1 != X2
| sdtexdt0(X3,X1) = sdtexdt0(X3,X2) ) ).
cnf(i_0_349,axiom,
( X1 != X2
| esk15_3(X1,X3,X4) = esk15_3(X2,X3,X4) ) ).
cnf(i_0_350,axiom,
( X1 != X2
| esk15_3(X3,X1,X4) = esk15_3(X3,X2,X4) ) ).
cnf(i_0_351,axiom,
( X1 != X2
| esk15_3(X3,X4,X1) = esk15_3(X3,X4,X2) ) ).
cnf(i_0_352,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_353,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_354,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_355,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_356,axiom,
( X1 != X2
| esk18_2(X1,X3) = esk18_2(X2,X3) ) ).
cnf(i_0_357,axiom,
( X1 != X2
| esk18_2(X3,X1) = esk18_2(X3,X2) ) ).
cnf(i_0_358,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_359,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_360,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_361,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_362,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_363,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_364,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_365,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_366,axiom,
( X1 != X2
| esk20_3(X1,X3,X4) = esk20_3(X2,X3,X4) ) ).
cnf(i_0_367,axiom,
( X1 != X2
| esk20_3(X3,X1,X4) = esk20_3(X3,X2,X4) ) ).
cnf(i_0_368,axiom,
( X1 != X2
| esk20_3(X3,X4,X1) = esk20_3(X3,X4,X2) ) ).
cnf(i_0_369,axiom,
( X1 != X2
| szDzozmdt0(X1) = szDzozmdt0(X2) ) ).
cnf(i_0_370,axiom,
( X1 != X2
| sdtlcdtrc0(X1,X3) = sdtlcdtrc0(X2,X3) ) ).
cnf(i_0_371,axiom,
( X1 != X2
| sdtlcdtrc0(X3,X1) = sdtlcdtrc0(X3,X2) ) ).
cnf(i_0_372,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_373,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_374,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_375,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_376,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_377,axiom,
( X1 != X2
| ~ aFunction0(X1)
| aFunction0(X2) ) ).
cnf(i_0_378,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_379,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_380,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_381,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_382,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_383,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_384,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_333_001,axiom,
X1 = X1 ).
cnf(i_0_334_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_335_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_336_004,axiom,
( X1 != X2
| sdtlpdtrp0(X1,X3) = sdtlpdtrp0(X2,X3) ) ).
cnf(i_0_337_005,axiom,
( X1 != X2
| sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X3,X2) ) ).
cnf(i_0_338_006,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_339_007,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_340_008,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_341_009,axiom,
( X1 != X2
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X2,X3) ) ).
cnf(i_0_342_010,axiom,
( X1 != X2
| sdtlbdtrb0(X3,X1) = sdtlbdtrb0(X3,X2) ) ).
cnf(i_0_343_011,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_344_012,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_345_013,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_346_014,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_347_015,axiom,
( X1 != X2
| sdtexdt0(X1,X3) = sdtexdt0(X2,X3) ) ).
cnf(i_0_348_016,axiom,
( X1 != X2
| sdtexdt0(X3,X1) = sdtexdt0(X3,X2) ) ).
cnf(i_0_349_017,axiom,
( X1 != X2
| esk15_3(X1,X3,X4) = esk15_3(X2,X3,X4) ) ).
cnf(i_0_350_018,axiom,
( X1 != X2
| esk15_3(X3,X1,X4) = esk15_3(X3,X2,X4) ) ).
cnf(i_0_351_019,axiom,
( X1 != X2
| esk15_3(X3,X4,X1) = esk15_3(X3,X4,X2) ) ).
cnf(i_0_352_020,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_353_021,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_354_022,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_355_023,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_356_024,axiom,
( X1 != X2
| esk18_2(X1,X3) = esk18_2(X2,X3) ) ).
cnf(i_0_357_025,axiom,
( X1 != X2
| esk18_2(X3,X1) = esk18_2(X3,X2) ) ).
cnf(i_0_358_026,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_359_027,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_360_028,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_361_029,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_362_030,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_363_031,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_364_032,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_365_033,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_366_034,axiom,
( X1 != X2
| esk20_3(X1,X3,X4) = esk20_3(X2,X3,X4) ) ).
cnf(i_0_367_035,axiom,
( X1 != X2
| esk20_3(X3,X1,X4) = esk20_3(X3,X2,X4) ) ).
cnf(i_0_368_036,axiom,
( X1 != X2
| esk20_3(X3,X4,X1) = esk20_3(X3,X4,X2) ) ).
cnf(i_0_369_037,axiom,
( X1 != X2
| szDzozmdt0(X1) = szDzozmdt0(X2) ) ).
cnf(i_0_370_038,axiom,
( X1 != X2
| sdtlcdtrc0(X1,X3) = sdtlcdtrc0(X2,X3) ) ).
cnf(i_0_371_039,axiom,
( X1 != X2
| sdtlcdtrc0(X3,X1) = sdtlcdtrc0(X3,X2) ) ).
cnf(i_0_372_040,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_373_041,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_374_042,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_375_043,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_376_044,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_377_045,axiom,
( X1 != X2
| ~ aFunction0(X1)
| aFunction0(X2) ) ).
cnf(i_0_378_046,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_379_047,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_380_048,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_381_049,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_382_050,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_383_051,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_384_052,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_385,plain,
( ~ aElementOf0(X1,sdtlcdtrc0(X2,X3))
| ~ aFunction0(X2)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| sdtlpdtrp0(X2,esk14_4(X2,X3,sdtlcdtrc0(X2,X3),X1)) = X1 ),
inference(equality_inference,[],[164]) ).
cnf(i_0_386,plain,
( ~ aElementOf0(X1,sdtlcdtrc0(X2,X3))
| ~ aFunction0(X2)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| aElementOf0(esk14_4(X2,X3,sdtlcdtrc0(X2,X3),X1),X3) ),
inference(equality_inference,[],[165]) ).
cnf(i_0_387,plain,
( ~ aFunction0(X1)
| ~ aFunction0(X2)
| X1 = sdtexdt0(X2,szDzozmdt0(X1))
| ~ aSubsetOf0(szDzozmdt0(X1),szDzozmdt0(X2))
| aElementOf0(esk17_3(X2,szDzozmdt0(X1),X1),szDzozmdt0(X1)) ),
inference(equality_inference,[],[192]) ).
cnf(i_0_388,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[199]) ).
cnf(i_0_389,plain,
( ~ aFunction0(X1)
| ~ aElementOf0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X1))
| sdtlpdtrp0(sdtexdt0(X1,X3),X2) = sdtlpdtrp0(X1,X2) ),
inference(equality_inference,[],[211]) ).
cnf(i_0_390,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[224]) ).
cnf(i_0_391,plain,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0) ),
inference(equality_inference,[],[229]) ).
cnf(i_0_392,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| X1 = X3
| aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[231]) ).
cnf(i_0_393,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[232]) ).
cnf(i_0_394,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtlbdtrb0(X1,X2))
| aElementOf0(X3,szDzozmdt0(X1)) ),
inference(equality_inference,[],[233]) ).
cnf(i_0_395,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0)
| sbrdtbr0(X2) = X3 ),
inference(equality_inference,[],[235]) ).
cnf(i_0_396,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| X3 = X2
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[236]) ).
cnf(i_0_397,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(equality_inference,[],[237]) ).
cnf(i_0_398,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X3) = X2 ),
inference(equality_inference,[],[239]) ).
cnf(i_0_399,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[241]) ).
cnf(i_0_400,plain,
( ~ aElementOf0(X1,X2)
| ~ isFinite0(X2)
| sdtlseqdt0(X1,szmzazxdt0(X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[242]) ).
cnf(i_0_401,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[243]) ).
cnf(i_0_402,plain,
( ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| szDzozmdt0(sdtexdt0(X1,X2)) = X2 ),
inference(equality_inference,[],[248]) ).
cnf(i_0_403,plain,
( ~ aFunction0(X1)
| aFunction0(sdtexdt0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(equality_inference,[],[249]) ).
cnf(i_0_404,plain,
( ~ aFunction0(X1)
| aSet0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(equality_inference,[],[250]) ).
cnf(i_0_405,plain,
( ~ aElementOf0(X1,X2)
| sdtlseqdt0(szmzizndt0(X2),X1)
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[251]) ).
cnf(i_0_406,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[254]) ).
cnf(i_0_407,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[255]) ).
cnf(i_0_408,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[258]) ).
cnf(i_0_409,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[264]) ).
cnf(i_0_410,plain,
( ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(equality_inference,[],[266]) ).
cnf(i_0_411,plain,
( ~ isFinite0(X1)
| aElementOf0(szmzazxdt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[272]) ).
cnf(i_0_412,plain,
( aElementOf0(szmzizndt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[277]) ).
cnf(i_0_413,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| aSet0(sdtlbdtrb0(X1,X2)) ),
inference(equality_inference,[],[278]) ).
cnf(i_0_414,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[279]) ).
cnf(i_0_415,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[280]) ).
cnf(i_0_416,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[292]) ).
cnf(i_0_417,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[301]) ).
cnf(i_0_418,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_inference,[],[307]) ).
cnf(i_0_419,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_inference,[],[309]) ).
cnf(i_0_420,plain,
aSet0(slcrc0),
inference(equality_inference,[],[317]) ).
cnf(i_0_421,plain,
~ isCountable0(slcrc0),
inference(scs_inference,[],[i_0_420,i_0_418]) ).
cnf(i_0_422,plain,
sbrdtbr0(slcrc0) = sz00,
inference(scs_inference,[],[i_0_420,i_0_419]) ).
cnf(i_0_423,plain,
iLess0(xi,szszuzczcdt0(xi)),
inference(scs_inference,[],[i_0_312,i_0_285]) ).
cnf(i_0_424,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_285]) ).
cnf(i_0_425,plain,
sdtlseqdt0(xi,szszuzczcdt0(xi)),
inference(scs_inference,[],[i_0_312,i_0_285,i_0_286]) ).
cnf(i_0_426,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_286]) ).
cnf(i_0_427,plain,
sdtlseqdt0(xi,xi),
inference(scs_inference,[],[i_0_312,i_0_285,i_0_286,i_0_288]) ).
cnf(i_0_428,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(rename_variables,[],[i_0_288]) ).
cnf(i_0_429,plain,
sdtlseqdt0(sz00,xi),
inference(scs_inference,[],[i_0_312,i_0_285,i_0_286,i_0_288,i_0_294]) ).
cnf(i_0_430,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(rename_variables,[],[i_0_294]) ).
cnf(i_0_431,plain,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_312,i_0_329,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301]) ).
cnf(i_0_432,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_433,plain,
aSubsetOf0(xT,xT),
inference(scs_inference,[],[i_0_312,i_0_325,i_0_329,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302]) ).
cnf(i_0_434,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_435,plain,
aSet0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_312,i_0_325,i_0_329,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317]) ).
cnf(i_0_436,plain,
( X1 != slcrc0
| aSet0(X1) ),
inference(rename_variables,[],[i_0_317]) ).
cnf(i_0_437,plain,
aSet0(slbdtrb0(xi)),
inference(scs_inference,[],[i_0_312,i_0_325,i_0_329,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416]) ).
cnf(i_0_438,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_416]) ).
cnf(i_0_439,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(scs_inference,[],[i_0_310,i_0_312,i_0_325,i_0_329,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334]) ).
cnf(i_0_440,plain,
~ aElementOf0(sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ),xT),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_325,i_0_329,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373]) ).
cnf(i_0_441,plain,
sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))) != xT,
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_325,i_0_329,i_0_295,i_0_193,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374]) ).
cnf(i_0_442,plain,
aElement0(xi),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_325,i_0_326,i_0_329,i_0_295,i_0_193,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289]) ).
cnf(i_0_443,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_444,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290]) ).
cnf(i_0_445,plain,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(rename_variables,[],[i_0_290]) ).
cnf(i_0_446,plain,
~ isFinite0(szNzAzT0),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_322,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303]) ).
cnf(i_0_447,plain,
( ~ isCountable0(X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_303]) ).
cnf(i_0_448,plain,
~ isCountable0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_322,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307]) ).
cnf(i_0_449,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_307]) ).
cnf(i_0_450,plain,
aElementOf0(xi,slbdtrb0(szszuzczcdt0(xi))),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_322,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397]) ).
cnf(i_0_451,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(rename_variables,[],[i_0_397]) ).
cnf(i_0_452,plain,
aSet0(slbdtsldtrb0(xT,xi)),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_322,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410]) ).
cnf(i_0_453,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSet0(slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_410]) ).
cnf(i_0_454,plain,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ) = sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_322,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335]) ).
cnf(i_0_455,plain,
xS != slbdtrb0(sz00),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_321,i_0_322,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380]) ).
cnf(i_0_456,plain,
xT != szNzAzT0,
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382]) ).
cnf(i_0_457,plain,
~ aElementOf0(xx,sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252]) ).
cnf(i_0_458,plain,
( ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_459,plain,
~ sdtlseqdt0(szszuzczcdt0(sz00),sz00),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_315,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252,i_0_390]) ).
cnf(i_0_460,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| aElementOf0(X1,slbdtrb0(X2)) ),
inference(rename_variables,[],[i_0_390]) ).
cnf(i_0_461,plain,
sdtlseqdt0(szszuzczcdt0(xi),szszuzczcdt0(xi)),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_315,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252,i_0_390,i_0_227]) ).
cnf(i_0_462,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_227]) ).
cnf(i_0_463,plain,
aSubsetOf0(slbdtrb0(xi),slbdtrb0(xi)),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_315,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252,i_0_390,i_0_227,i_0_228]) ).
cnf(i_0_464,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_228]) ).
cnf(i_0_465,plain,
sdtlseqdt0(sz00,sz00),
inference(scs_inference,[],[i_0_304,i_0_310,i_0_312,i_0_315,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252,i_0_390,i_0_227,i_0_228,i_0_240]) ).
cnf(i_0_466,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X1) ),
inference(rename_variables,[],[i_0_240]) ).
cnf(i_0_467,plain,
aSubsetOf0(slcrc0,xT),
inference(scs_inference,[],[i_0_304,i_0_417,i_0_310,i_0_312,i_0_315,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_420,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252,i_0_390,i_0_227,i_0_228,i_0_240,i_0_247]) ).
cnf(i_0_468,plain,
~ aElementOf0(X1,slcrc0),
inference(rename_variables,[],[i_0_417]) ).
cnf(i_0_469,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_247]) ).
cnf(i_0_470,plain,
isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(scs_inference,[],[i_0_304,i_0_417,i_0_310,i_0_312,i_0_315,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_420,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252,i_0_390,i_0_227,i_0_228,i_0_240,i_0_247,i_0_282]) ).
cnf(i_0_471,plain,
( ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1)
| isFinite0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_472,plain,
( aSet0(X1)
| X1 != slbdtrb0(xi) ),
inference(scs_inference,[],[i_0_304,i_0_417,i_0_310,i_0_312,i_0_315,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_420,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252,i_0_390,i_0_227,i_0_228,i_0_240,i_0_247,i_0_282,i_0_292]) ).
cnf(i_0_473,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1)
| aSet0(X2) ),
inference(rename_variables,[],[i_0_292]) ).
cnf(i_0_474,plain,
( aSet0(slbdtsldtrb0(xS,xK))
| szDzozmdt0(xc) != slbdtrb0(xi) ),
inference(scs_inference,[],[i_0_304,i_0_417,i_0_310,i_0_312,i_0_315,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_420,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252,i_0_390,i_0_227,i_0_228,i_0_240,i_0_247,i_0_282,i_0_292,i_0_372]) ).
cnf(i_0_475,plain,
( sz00 != szszuzczcdt0(sz00)
| szDzozmdt0(xc) != slbdtrb0(xi) ),
inference(scs_inference,[],[i_0_304,i_0_417,i_0_310,i_0_312,i_0_315,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_420,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252,i_0_390,i_0_227,i_0_228,i_0_240,i_0_247,i_0_282,i_0_292,i_0_372,i_0_383]) ).
cnf(i_0_476,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_401]) ).
cnf(i_0_477,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(sz00,slbdtrb0(xi))
| szDzozmdt0(xc) != slbdtrb0(xi)
| aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)) ),
inference(scs_inference,[],[i_0_304,i_0_417,i_0_310,i_0_312,i_0_315,i_0_318,i_0_321,i_0_322,i_0_323,i_0_325,i_0_326,i_0_420,i_0_329,i_0_281,i_0_295,i_0_193,i_0_200,i_0_172,i_0_285,i_0_286,i_0_288,i_0_294,i_0_301,i_0_302,i_0_317,i_0_416,i_0_334,i_0_373,i_0_374,i_0_289,i_0_290,i_0_303,i_0_307,i_0_397,i_0_410,i_0_335,i_0_380,i_0_382,i_0_252,i_0_390,i_0_227,i_0_228,i_0_240,i_0_247,i_0_282,i_0_292,i_0_372,i_0_383,i_0_401,i_0_384,i_0_159]) ).
cnf(i_0_478,plain,
aSet0(slbdtrb0(xi)),
inference(equality_inference,[],[472]) ).
cnf(i_0_479,plain,
iLess0(sz00,szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_315,i_0_285]) ).
cnf(i_0_480,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_285]) ).
cnf(i_0_481,plain,
sdtlseqdt0(sz00,szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_315,i_0_285,i_0_286]) ).
cnf(i_0_482,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_286]) ).
cnf(i_0_483,plain,
sdtlseqdt0(xk,xk),
inference(scs_inference,[],[i_0_315,i_0_313,i_0_285,i_0_286,i_0_288]) ).
cnf(i_0_484,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(rename_variables,[],[i_0_288]) ).
cnf(i_0_485,plain,
sdtlseqdt0(sz00,xk),
inference(scs_inference,[],[i_0_315,i_0_313,i_0_285,i_0_286,i_0_288,i_0_294]) ).
cnf(i_0_486,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(rename_variables,[],[i_0_294]) ).
cnf(i_0_487,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(scs_inference,[],[i_0_315,i_0_444,i_0_313,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302]) ).
cnf(i_0_488,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_489,plain,
aSet0(slbdtrb0(xk)),
inference(scs_inference,[],[i_0_315,i_0_444,i_0_313,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416]) ).
cnf(i_0_490,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_416]) ).
cnf(i_0_491,plain,
sdtlpdtrp0(xc,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ),
inference(scs_inference,[],[i_0_315,i_0_444,i_0_454,i_0_313,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334]) ).
cnf(i_0_492,plain,
aElement0(sz00),
inference(scs_inference,[],[i_0_315,i_0_444,i_0_454,i_0_313,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289]) ).
cnf(i_0_493,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_494,plain,
aSet0(xS),
inference(scs_inference,[],[i_0_315,i_0_444,i_0_454,i_0_311,i_0_313,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290]) ).
cnf(i_0_495,plain,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(rename_variables,[],[i_0_290]) ).
cnf(i_0_496,plain,
~ isFinite0(xS),
inference(scs_inference,[],[i_0_315,i_0_444,i_0_454,i_0_311,i_0_313,i_0_321,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303]) ).
cnf(i_0_497,plain,
( ~ isCountable0(X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_303]) ).
cnf(i_0_498,plain,
aElementOf0(sz00,slbdtrb0(szszuzczcdt0(sz00))),
inference(scs_inference,[],[i_0_315,i_0_444,i_0_454,i_0_311,i_0_313,i_0_321,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397]) ).
cnf(i_0_499,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(rename_variables,[],[i_0_397]) ).
cnf(i_0_500,plain,
aSet0(slbdtsldtrb0(xT,sz00)),
inference(scs_inference,[],[i_0_315,i_0_325,i_0_444,i_0_454,i_0_311,i_0_313,i_0_321,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410]) ).
cnf(i_0_501,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSet0(slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_410]) ).
cnf(i_0_502,plain,
~ aElementOf0(sdtlpdtrp0(sdtlpdtrp0(xC,xi),xQ),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(scs_inference,[],[i_0_457,i_0_315,i_0_325,i_0_444,i_0_454,i_0_311,i_0_313,i_0_321,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373]) ).
cnf(i_0_503,plain,
sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi))) != sdtlcdtrc0(xc,szDzozmdt0(xc)),
inference(scs_inference,[],[i_0_457,i_0_315,i_0_325,i_0_444,i_0_454,i_0_311,i_0_313,i_0_321,i_0_193,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374]) ).
cnf(i_0_504,plain,
xK != sbrdtbr0(slcrc0),
inference(scs_inference,[],[i_0_457,i_0_315,i_0_325,i_0_444,i_0_454,i_0_332,i_0_422,i_0_311,i_0_313,i_0_321,i_0_193,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335]) ).
cnf(i_0_505,plain,
szNzAzT0 != slbdtrb0(sz00),
inference(scs_inference,[],[i_0_457,i_0_315,i_0_325,i_0_444,i_0_454,i_0_332,i_0_448,i_0_422,i_0_311,i_0_313,i_0_321,i_0_322,i_0_193,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380]) ).
cnf(i_0_506,plain,
sdtlcdtrc0(xc,szDzozmdt0(xc)) != szNzAzT0,
inference(scs_inference,[],[i_0_457,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_332,i_0_448,i_0_422,i_0_311,i_0_313,i_0_446,i_0_321,i_0_322,i_0_193,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382]) ).
cnf(i_0_507,plain,
sz00 != szszuzczcdt0(sz00),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_332,i_0_448,i_0_422,i_0_311,i_0_313,i_0_446,i_0_321,i_0_322,i_0_193,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383]) ).
cnf(i_0_508,plain,
~ sdtlseqdt0(szszuzczcdt0(sz00),sbrdtbr0(slcrc0)),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_332,i_0_448,i_0_422,i_0_311,i_0_313,i_0_446,i_0_321,i_0_322,i_0_193,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384]) ).
cnf(i_0_509,plain,
aSet0(szDzozmdt0(xc)),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_332,i_0_448,i_0_422,i_0_311,i_0_313,i_0_314,i_0_446,i_0_321,i_0_322,i_0_193,i_0_310,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384,i_0_266]) ).
cnf(i_0_510,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtsldtrb0(X3,X1)
| ~ aSet0(X3)
| aSet0(X2) ),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_511,plain,
aSubsetOf0(slbdtrb0(sz00),xT),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_431,i_0_332,i_0_435,i_0_448,i_0_422,i_0_311,i_0_313,i_0_314,i_0_446,i_0_321,i_0_322,i_0_193,i_0_310,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384,i_0_266,i_0_247]) ).
cnf(i_0_512,plain,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(rename_variables,[],[i_0_431]) ).
cnf(i_0_513,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_247]) ).
cnf(i_0_514,plain,
~ aSubsetOf0(szNzAzT0,slcrc0),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_431,i_0_332,i_0_435,i_0_448,i_0_422,i_0_311,i_0_313,i_0_314,i_0_324,i_0_446,i_0_321,i_0_322,i_0_420,i_0_193,i_0_310,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384,i_0_266,i_0_247,i_0_282]) ).
cnf(i_0_515,plain,
( ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1)
| isFinite0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_516,plain,
sdtlseqdt0(szszuzczcdt0(sz00),szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_431,i_0_332,i_0_435,i_0_448,i_0_422,i_0_311,i_0_313,i_0_314,i_0_324,i_0_446,i_0_321,i_0_322,i_0_420,i_0_193,i_0_310,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384,i_0_266,i_0_247,i_0_282,i_0_227]) ).
cnf(i_0_517,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_227]) ).
cnf(i_0_518,plain,
aSubsetOf0(slbdtrb0(sz00),slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_431,i_0_332,i_0_435,i_0_448,i_0_422,i_0_311,i_0_313,i_0_314,i_0_324,i_0_446,i_0_321,i_0_322,i_0_420,i_0_193,i_0_310,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384,i_0_266,i_0_247,i_0_282,i_0_227,i_0_228]) ).
cnf(i_0_519,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_228]) ).
cnf(i_0_520,plain,
~ aSubsetOf0(szDzozmdt0(xC),slcrc0),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_431,i_0_332,i_0_435,i_0_448,i_0_422,i_0_311,i_0_313,i_0_314,i_0_324,i_0_446,i_0_327,i_0_321,i_0_322,i_0_420,i_0_193,i_0_310,i_0_326,i_0_295,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384,i_0_266,i_0_247,i_0_282,i_0_227,i_0_228,i_0_378]) ).
cnf(i_0_521,plain,
~ aSubsetOf0(szNzAzT0,slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_431,i_0_332,i_0_435,i_0_448,i_0_422,i_0_311,i_0_313,i_0_314,i_0_324,i_0_446,i_0_327,i_0_321,i_0_322,i_0_420,i_0_193,i_0_310,i_0_326,i_0_295,i_0_329,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384,i_0_266,i_0_247,i_0_282,i_0_227,i_0_228,i_0_378,i_0_379]) ).
cnf(i_0_522,plain,
( aSet0(X1)
| X1 != slbdtrb0(sz00) ),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_431,i_0_332,i_0_435,i_0_448,i_0_422,i_0_311,i_0_313,i_0_314,i_0_324,i_0_446,i_0_327,i_0_321,i_0_322,i_0_420,i_0_193,i_0_310,i_0_326,i_0_295,i_0_329,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384,i_0_266,i_0_247,i_0_282,i_0_227,i_0_228,i_0_378,i_0_379,i_0_292]) ).
cnf(i_0_523,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1)
| aSet0(X2) ),
inference(rename_variables,[],[i_0_292]) ).
cnf(i_0_524,plain,
aSet0(slbdtsldtrb0(xS,xK)),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_444,i_0_470,i_0_454,i_0_465,i_0_431,i_0_332,i_0_435,i_0_448,i_0_422,i_0_311,i_0_313,i_0_314,i_0_324,i_0_446,i_0_327,i_0_321,i_0_322,i_0_420,i_0_193,i_0_310,i_0_326,i_0_295,i_0_329,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384,i_0_266,i_0_247,i_0_282,i_0_227,i_0_228,i_0_378,i_0_379,i_0_292,i_0_372]) ).
cnf(i_0_525,plain,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(rename_variables,[],[i_0_431]) ).
cnf(i_0_526,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| ~ aElement0(X2)
| ~ aSet0(X1)
| aElementOf0(X2,X1) ),
inference(rename_variables,[],[i_0_245]) ).
cnf(i_0_527,plain,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(rename_variables,[],[i_0_431]) ).
cnf(i_0_528,plain,
( ~ aSubsetOf0(slbdtrb0(sz00),szDzozmdt0(xN))
| aSet0(sdtmndt0(sdtpldt0(slbdtrb0(sz00),xi),xi))
| ~ aElementOf0(X1,sdtlcdtrc0(xN,slbdtrb0(sz00))) ),
inference(scs_inference,[],[i_0_457,i_0_459,i_0_315,i_0_325,i_0_312,i_0_444,i_0_470,i_0_454,i_0_465,i_0_431,i_0_512,i_0_525,i_0_332,i_0_435,i_0_448,i_0_422,i_0_311,i_0_313,i_0_314,i_0_319,i_0_324,i_0_442,i_0_446,i_0_327,i_0_321,i_0_322,i_0_420,i_0_193,i_0_310,i_0_326,i_0_295,i_0_329,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_290,i_0_303,i_0_397,i_0_410,i_0_373,i_0_374,i_0_335,i_0_380,i_0_382,i_0_383,i_0_384,i_0_266,i_0_247,i_0_282,i_0_227,i_0_228,i_0_378,i_0_379,i_0_292,i_0_372,i_0_245,i_0_386]) ).
cnf(i_0_529,plain,
aSet0(slbdtrb0(sz00)),
inference(equality_inference,[],[522]) ).
cnf(i_0_530,plain,
iLess0(xk,szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_313,i_0_285]) ).
cnf(i_0_531,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_285]) ).
cnf(i_0_532,plain,
sdtlseqdt0(xk,szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_313,i_0_285,i_0_286]) ).
cnf(i_0_533,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_286]) ).
cnf(i_0_534,plain,
sdtlseqdt0(xK,xK),
inference(scs_inference,[],[i_0_313,i_0_314,i_0_285,i_0_286,i_0_288]) ).
cnf(i_0_535,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(rename_variables,[],[i_0_288]) ).
cnf(i_0_536,plain,
sdtlseqdt0(sz00,xK),
inference(scs_inference,[],[i_0_313,i_0_314,i_0_285,i_0_286,i_0_288,i_0_294]) ).
cnf(i_0_537,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(rename_variables,[],[i_0_294]) ).
cnf(i_0_538,plain,
aSubsetOf0(slbdtsldtrb0(xS,xK),slbdtsldtrb0(xS,xK)),
inference(scs_inference,[],[i_0_313,i_0_524,i_0_314,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302]) ).
cnf(i_0_539,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_540,plain,
aSet0(slbdtrb0(xK)),
inference(scs_inference,[],[i_0_313,i_0_524,i_0_314,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416]) ).
cnf(i_0_541,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_416]) ).
cnf(i_0_542,plain,
slcrc0 = slbdtrb0(sz00),
inference(scs_inference,[],[i_0_329,i_0_313,i_0_524,i_0_314,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334]) ).
cnf(i_0_543,plain,
aElement0(xk),
inference(scs_inference,[],[i_0_329,i_0_313,i_0_524,i_0_314,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289]) ).
cnf(i_0_544,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_545,plain,
aElementOf0(xk,slbdtrb0(szszuzczcdt0(xk))),
inference(scs_inference,[],[i_0_329,i_0_313,i_0_524,i_0_314,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_397]) ).
cnf(i_0_546,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(rename_variables,[],[i_0_397]) ).
cnf(i_0_547,plain,
aSet0(slbdtsldtrb0(xT,xk)),
inference(scs_inference,[],[i_0_329,i_0_325,i_0_313,i_0_524,i_0_314,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_397,i_0_410]) ).
cnf(i_0_548,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSet0(slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_410]) ).
cnf(i_0_549,plain,
~ aSubsetOf0(szDzozmdt0(xN),slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_329,i_0_325,i_0_313,i_0_524,i_0_521,i_0_328,i_0_314,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_397,i_0_410,i_0_378]) ).
cnf(i_0_550,plain,
~ aSubsetOf0(szDzozmdt0(xC),slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_329,i_0_325,i_0_313,i_0_524,i_0_520,i_0_521,i_0_328,i_0_314,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_397,i_0_410,i_0_378,i_0_379]) ).
cnf(i_0_551,plain,
sdtlcdtrc0(xc,szDzozmdt0(xc)) != szDzozmdt0(xN),
inference(scs_inference,[],[i_0_329,i_0_325,i_0_313,i_0_524,i_0_506,i_0_520,i_0_521,i_0_328,i_0_314,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_397,i_0_410,i_0_378,i_0_379,i_0_335]) ).
cnf(i_0_552,plain,
sdtlcdtrc0(xc,szDzozmdt0(xc)) != xS,
inference(scs_inference,[],[i_0_329,i_0_325,i_0_313,i_0_524,i_0_506,i_0_520,i_0_521,i_0_496,i_0_328,i_0_470,i_0_314,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_397,i_0_410,i_0_378,i_0_379,i_0_335,i_0_382]) ).
cnf(i_0_553,plain,
szszuzczcdt0(sz00) != sbrdtbr0(slcrc0),
inference(scs_inference,[],[i_0_329,i_0_325,i_0_313,i_0_524,i_0_508,i_0_516,i_0_506,i_0_520,i_0_521,i_0_496,i_0_328,i_0_470,i_0_314,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_397,i_0_410,i_0_378,i_0_379,i_0_335,i_0_382,i_0_384]) ).
cnf(i_0_554,plain,
$false,
inference(scs_inference,[],[i_0_502,i_0_329,i_0_325,i_0_313,i_0_491,i_0_524,i_0_508,i_0_516,i_0_506,i_0_520,i_0_521,i_0_496,i_0_328,i_0_179,i_0_470,i_0_314,i_0_326,i_0_285,i_0_286,i_0_288,i_0_294,i_0_302,i_0_416,i_0_334,i_0_289,i_0_397,i_0_410,i_0_378,i_0_379,i_0_335,i_0_382,i_0_384,i_0_373]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM587+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n029.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:47:29 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.44/1.61 % Version : CSE_E---1.7
% 0.44/1.61 % Problem : theBenchmark.p
% 0.44/1.61 % SZS status Theorem for theBenchmark.p
% 0.44/1.61 % SZS output start CNFRefutation
% See solution above
% 1.03/2.20 % Total time : 1.274s
%------------------------------------------------------------------------------