%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM560+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:57:50 PM UTC 2026
% Result : Theorem 0.35s 1.63s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 158)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(X1,szDzozmdt0(xF))
& sdtlpdtrp0(xF,X1) = xy ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mCardCons,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
file('/export/starexec/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(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(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(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(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(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(mDefMax,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzazxdt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(mMinMin,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X2,szNzAzT0)
& X1 != slcrc0
& X2 != slcrc0 )
=> ( ( aElementOf0(szmzizndt0(X1),X2)
& aElementOf0(szmzizndt0(X2),X1) )
=> szmzizndt0(X1) = szmzizndt0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(mCardSubEx,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ( ( isFinite0(X1)
& sdtlseqdt0(X2,sbrdtbr0(X1)) )
=> ? [X3] :
( aSubsetOf0(X3,X1)
& sbrdtbr0(X3) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(mCardDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(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(mFinSubSeg,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aSubsetOf0(X1,slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(mSuccEquSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(mCDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(mCConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(mFConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(mLessRefl,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(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(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(m__2693,hypothesis,
( aFunction0(xF)
& aElement0(xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2693) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(i_0_61,negated_conjecture,
~ ( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(X1,szDzozmdt0(xF))
& sdtlpdtrp0(xF,X1) = xy ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_62,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_63,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_64,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
inference(fof_simplification,[status(thm)],[mSelNSet]) ).
fof(i_0_65,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(i_0_66,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(i_0_67,plain,
! [X156,X157,X158,X159,X160,X161] :
( ( aSet0(X158)
| X158 != sdtmndt0(X156,X157)
| ~ aSet0(X156)
| ~ aElement0(X157) )
& ( aElement0(X159)
| ~ aElementOf0(X159,X158)
| X158 != sdtmndt0(X156,X157)
| ~ aSet0(X156)
| ~ aElement0(X157) )
& ( aElementOf0(X159,X156)
| ~ aElementOf0(X159,X158)
| X158 != sdtmndt0(X156,X157)
| ~ aSet0(X156)
| ~ aElement0(X157) )
& ( X159 != X157
| ~ aElementOf0(X159,X158)
| X158 != sdtmndt0(X156,X157)
| ~ aSet0(X156)
| ~ aElement0(X157) )
& ( ~ aElement0(X160)
| ~ aElementOf0(X160,X156)
| X160 = X157
| aElementOf0(X160,X158)
| X158 != sdtmndt0(X156,X157)
| ~ aSet0(X156)
| ~ aElement0(X157) )
& ( ~ aElementOf0(esk4_3(X156,X157,X161),X161)
| ~ aElement0(esk4_3(X156,X157,X161))
| ~ aElementOf0(esk4_3(X156,X157,X161),X156)
| esk4_3(X156,X157,X161) = X157
| ~ aSet0(X161)
| X161 = sdtmndt0(X156,X157)
| ~ aSet0(X156)
| ~ aElement0(X157) )
& ( aElement0(esk4_3(X156,X157,X161))
| aElementOf0(esk4_3(X156,X157,X161),X161)
| ~ aSet0(X161)
| X161 = sdtmndt0(X156,X157)
| ~ aSet0(X156)
| ~ aElement0(X157) )
& ( aElementOf0(esk4_3(X156,X157,X161),X156)
| aElementOf0(esk4_3(X156,X157,X161),X161)
| ~ aSet0(X161)
| X161 = sdtmndt0(X156,X157)
| ~ aSet0(X156)
| ~ aElement0(X157) )
& ( esk4_3(X156,X157,X161) != X157
| aElementOf0(esk4_3(X156,X157,X161),X161)
| ~ aSet0(X161)
| X161 = sdtmndt0(X156,X157)
| ~ aSet0(X156)
| ~ aElement0(X157) ) ),
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_68,plain,
! [X256,X257,X258,X259,X260,X261] :
( ( aSet0(X258)
| X258 != sdtlbdtrb0(X256,X257)
| ~ aFunction0(X256)
| ~ aElement0(X257) )
& ( aElementOf0(X259,szDzozmdt0(X256))
| ~ aElementOf0(X259,X258)
| X258 != sdtlbdtrb0(X256,X257)
| ~ aFunction0(X256)
| ~ aElement0(X257) )
& ( sdtlpdtrp0(X256,X259) = X257
| ~ aElementOf0(X259,X258)
| X258 != sdtlbdtrb0(X256,X257)
| ~ aFunction0(X256)
| ~ aElement0(X257) )
& ( ~ aElementOf0(X260,szDzozmdt0(X256))
| sdtlpdtrp0(X256,X260) != X257
| aElementOf0(X260,X258)
| X258 != sdtlbdtrb0(X256,X257)
| ~ aFunction0(X256)
| ~ aElement0(X257) )
& ( ~ aElementOf0(esk13_3(X256,X257,X261),X261)
| ~ aElementOf0(esk13_3(X256,X257,X261),szDzozmdt0(X256))
| sdtlpdtrp0(X256,esk13_3(X256,X257,X261)) != X257
| ~ aSet0(X261)
| X261 = sdtlbdtrb0(X256,X257)
| ~ aFunction0(X256)
| ~ aElement0(X257) )
& ( aElementOf0(esk13_3(X256,X257,X261),szDzozmdt0(X256))
| aElementOf0(esk13_3(X256,X257,X261),X261)
| ~ aSet0(X261)
| X261 = sdtlbdtrb0(X256,X257)
| ~ aFunction0(X256)
| ~ aElement0(X257) )
& ( sdtlpdtrp0(X256,esk13_3(X256,X257,X261)) = X257
| aElementOf0(esk13_3(X256,X257,X261),X261)
| ~ aSet0(X261)
| X261 = sdtlbdtrb0(X256,X257)
| ~ aFunction0(X256)
| ~ aElement0(X257) ) ),
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_69,plain,
! [X233,X234,X235,X236,X237,X238] :
( ( aSet0(X235)
| X235 != slbdtsldtrb0(X233,X234)
| ~ aSet0(X233)
| ~ aElementOf0(X234,szNzAzT0) )
& ( aSubsetOf0(X236,X233)
| ~ aElementOf0(X236,X235)
| X235 != slbdtsldtrb0(X233,X234)
| ~ aSet0(X233)
| ~ aElementOf0(X234,szNzAzT0) )
& ( sbrdtbr0(X236) = X234
| ~ aElementOf0(X236,X235)
| X235 != slbdtsldtrb0(X233,X234)
| ~ aSet0(X233)
| ~ aElementOf0(X234,szNzAzT0) )
& ( ~ aSubsetOf0(X237,X233)
| sbrdtbr0(X237) != X234
| aElementOf0(X237,X235)
| X235 != slbdtsldtrb0(X233,X234)
| ~ aSet0(X233)
| ~ aElementOf0(X234,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X233,X234,X238),X238)
| ~ aSubsetOf0(esk11_3(X233,X234,X238),X233)
| sbrdtbr0(esk11_3(X233,X234,X238)) != X234
| ~ aSet0(X238)
| X238 = slbdtsldtrb0(X233,X234)
| ~ aSet0(X233)
| ~ aElementOf0(X234,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X233,X234,X238),X233)
| aElementOf0(esk11_3(X233,X234,X238),X238)
| ~ aSet0(X238)
| X238 = slbdtsldtrb0(X233,X234)
| ~ aSet0(X233)
| ~ aElementOf0(X234,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X233,X234,X238)) = X234
| aElementOf0(esk11_3(X233,X234,X238),X238)
| ~ aSet0(X238)
| X238 = slbdtsldtrb0(X233,X234)
| ~ aSet0(X233)
| ~ aElementOf0(X234,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_70,plain,
! [X149,X150,X151,X152,X153,X154] :
( ( aSet0(X151)
| X151 != sdtpldt0(X149,X150)
| ~ aSet0(X149)
| ~ aElement0(X150) )
& ( aElement0(X152)
| ~ aElementOf0(X152,X151)
| X151 != sdtpldt0(X149,X150)
| ~ aSet0(X149)
| ~ aElement0(X150) )
& ( aElementOf0(X152,X149)
| X152 = X150
| ~ aElementOf0(X152,X151)
| X151 != sdtpldt0(X149,X150)
| ~ aSet0(X149)
| ~ aElement0(X150) )
& ( ~ aElementOf0(X153,X149)
| ~ aElement0(X153)
| aElementOf0(X153,X151)
| X151 != sdtpldt0(X149,X150)
| ~ aSet0(X149)
| ~ aElement0(X150) )
& ( X153 != X150
| ~ aElement0(X153)
| aElementOf0(X153,X151)
| X151 != sdtpldt0(X149,X150)
| ~ aSet0(X149)
| ~ aElement0(X150) )
& ( ~ aElementOf0(esk3_3(X149,X150,X154),X149)
| ~ aElement0(esk3_3(X149,X150,X154))
| ~ aElementOf0(esk3_3(X149,X150,X154),X154)
| ~ aSet0(X154)
| X154 = sdtpldt0(X149,X150)
| ~ aSet0(X149)
| ~ aElement0(X150) )
& ( esk3_3(X149,X150,X154) != X150
| ~ aElement0(esk3_3(X149,X150,X154))
| ~ aElementOf0(esk3_3(X149,X150,X154),X154)
| ~ aSet0(X154)
| X154 = sdtpldt0(X149,X150)
| ~ aSet0(X149)
| ~ aElement0(X150) )
& ( aElement0(esk3_3(X149,X150,X154))
| aElementOf0(esk3_3(X149,X150,X154),X154)
| ~ aSet0(X154)
| X154 = sdtpldt0(X149,X150)
| ~ aSet0(X149)
| ~ aElement0(X150) )
& ( aElementOf0(esk3_3(X149,X150,X154),X149)
| esk3_3(X149,X150,X154) = X150
| aElementOf0(esk3_3(X149,X150,X154),X154)
| ~ aSet0(X154)
| X154 = sdtpldt0(X149,X150)
| ~ aSet0(X149)
| ~ aElement0(X150) ) ),
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_71,plain,
! [X249,X250,X251] :
( ( aSubsetOf0(esk12_3(X249,X250,X251),X249)
| ~ aSubsetOf0(X251,slbdtsldtrb0(X249,X250))
| ~ isFinite0(X251)
| ~ aSet0(X249)
| ~ aElementOf0(X250,szNzAzT0) )
& ( isFinite0(esk12_3(X249,X250,X251))
| ~ aSubsetOf0(X251,slbdtsldtrb0(X249,X250))
| ~ isFinite0(X251)
| ~ aSet0(X249)
| ~ aElementOf0(X250,szNzAzT0) )
& ( aSubsetOf0(X251,slbdtsldtrb0(esk12_3(X249,X250,X251),X250))
| ~ aSubsetOf0(X251,slbdtsldtrb0(X249,X250))
| ~ isFinite0(X251)
| ~ aSet0(X249)
| ~ aElementOf0(X250,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_72,plain,
! [X219,X220,X221,X222,X223] :
( ( aSet0(X220)
| X220 != slbdtrb0(X219)
| ~ aElementOf0(X219,szNzAzT0) )
& ( aElementOf0(X221,szNzAzT0)
| ~ aElementOf0(X221,X220)
| X220 != slbdtrb0(X219)
| ~ aElementOf0(X219,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X221),X219)
| ~ aElementOf0(X221,X220)
| X220 != slbdtrb0(X219)
| ~ aElementOf0(X219,szNzAzT0) )
& ( ~ aElementOf0(X222,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X222),X219)
| aElementOf0(X222,X220)
| X220 != slbdtrb0(X219)
| ~ aElementOf0(X219,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X219,X223),X223)
| ~ aElementOf0(esk9_2(X219,X223),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X219,X223)),X219)
| ~ aSet0(X223)
| X223 = slbdtrb0(X219)
| ~ aElementOf0(X219,szNzAzT0) )
& ( aElementOf0(esk9_2(X219,X223),szNzAzT0)
| aElementOf0(esk9_2(X219,X223),X223)
| ~ aSet0(X223)
| X223 = slbdtrb0(X219)
| ~ aElementOf0(X219,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X219,X223)),X219)
| aElementOf0(esk9_2(X219,X223),X223)
| ~ aSet0(X223)
| X223 = slbdtrb0(X219)
| ~ aElementOf0(X219,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_73,plain,
! [X246,X247,X248] :
( ~ aElementOf0(X246,szNzAzT0)
| ~ aSet0(X247)
| ~ aSet0(X248)
| X246 = sz00
| ~ aSubsetOf0(slbdtsldtrb0(X247,X246),slbdtsldtrb0(X248,X246))
| slbdtsldtrb0(X247,X246) = slcrc0
| aSubsetOf0(X247,X248) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelSub])])]) ).
fof(i_0_74,plain,
! [X189,X190,X191] :
( ~ aElementOf0(X189,szNzAzT0)
| ~ aElementOf0(X190,szNzAzT0)
| ~ aElementOf0(X191,szNzAzT0)
| ~ sdtlseqdt0(X189,X190)
| ~ sdtlseqdt0(X190,X191)
| sdtlseqdt0(X189,X191) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(i_0_75,plain,
! [X212,X213,X214,X215] :
( ( aElementOf0(X213,X212)
| X213 != szmzazxdt0(X212)
| ~ aSubsetOf0(X212,szNzAzT0)
| ~ isFinite0(X212)
| X212 = slcrc0 )
& ( ~ aElementOf0(X214,X212)
| sdtlseqdt0(X214,X213)
| X213 != szmzazxdt0(X212)
| ~ aSubsetOf0(X212,szNzAzT0)
| ~ isFinite0(X212)
| X212 = slcrc0 )
& ( aElementOf0(esk8_2(X212,X215),X212)
| ~ aElementOf0(X215,X212)
| X215 = szmzazxdt0(X212)
| ~ aSubsetOf0(X212,szNzAzT0)
| ~ isFinite0(X212)
| X212 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X212,X215),X215)
| ~ aElementOf0(X215,X212)
| X215 = szmzazxdt0(X212)
| ~ aSubsetOf0(X212,szNzAzT0)
| ~ isFinite0(X212)
| X212 = 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_76,plain,
! [X217,X218] :
( ~ aSubsetOf0(X217,szNzAzT0)
| ~ aSubsetOf0(X218,szNzAzT0)
| X217 = slcrc0
| X218 = slcrc0
| ~ aElementOf0(szmzizndt0(X217),X218)
| ~ aElementOf0(szmzizndt0(X218),X217)
| szmzizndt0(X217) = szmzizndt0(X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMinMin])]) ).
fof(i_0_77,plain,
! [X226,X227] :
( ( ~ aElementOf0(X226,slbdtrb0(szszuzczcdt0(X227)))
| aElementOf0(X226,slbdtrb0(X227))
| X226 = X227
| ~ aElementOf0(X226,szNzAzT0)
| ~ aElementOf0(X227,szNzAzT0) )
& ( ~ aElementOf0(X226,slbdtrb0(X227))
| aElementOf0(X226,slbdtrb0(szszuzczcdt0(X227)))
| ~ aElementOf0(X226,szNzAzT0)
| ~ aElementOf0(X227,szNzAzT0) )
& ( X226 != X227
| aElementOf0(X226,slbdtrb0(szszuzczcdt0(X227)))
| ~ aElementOf0(X226,szNzAzT0)
| ~ aElementOf0(X227,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
fof(i_0_78,plain,
! [X207,X208,X209,X210] :
( ( aElementOf0(X208,X207)
| X208 != szmzizndt0(X207)
| ~ aSubsetOf0(X207,szNzAzT0)
| X207 = slcrc0 )
& ( ~ aElementOf0(X209,X207)
| sdtlseqdt0(X208,X209)
| X208 != szmzizndt0(X207)
| ~ aSubsetOf0(X207,szNzAzT0)
| X207 = slcrc0 )
& ( aElementOf0(esk7_2(X207,X210),X207)
| ~ aElementOf0(X210,X207)
| X210 = szmzizndt0(X207)
| ~ aSubsetOf0(X207,szNzAzT0)
| X207 = slcrc0 )
& ( ~ sdtlseqdt0(X210,esk7_2(X207,X210))
| ~ aElementOf0(X210,X207)
| X210 = szmzizndt0(X207)
| ~ aSubsetOf0(X207,szNzAzT0)
| X207 = 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_79,plain,
! [X204,X205] :
( ( aSubsetOf0(esk6_2(X204,X205),X204)
| ~ isFinite0(X204)
| ~ sdtlseqdt0(X205,sbrdtbr0(X204))
| ~ aSet0(X204)
| ~ aElementOf0(X205,szNzAzT0) )
& ( sbrdtbr0(esk6_2(X204,X205)) = X205
| ~ isFinite0(X204)
| ~ sdtlseqdt0(X205,sbrdtbr0(X204))
| ~ aSet0(X204)
| ~ aElementOf0(X205,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])]) ).
fof(i_0_80,plain,
! [X200,X201] :
( ~ aSet0(X200)
| ~ isFinite0(X200)
| ~ aElementOf0(X201,X200)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X200,X201))) = sbrdtbr0(X200) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])]) ).
fof(i_0_81,plain,
! [X183,X184] :
( ( ~ sdtlseqdt0(X183,X184)
| sdtlseqdt0(szszuzczcdt0(X183),szszuzczcdt0(X184))
| ~ aElementOf0(X183,szNzAzT0)
| ~ aElementOf0(X184,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X183),szszuzczcdt0(X184))
| sdtlseqdt0(X183,X184)
| ~ aElementOf0(X183,szNzAzT0)
| ~ aElementOf0(X184,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(i_0_82,plain,
! [X228,X229] :
( ( ~ sdtlseqdt0(X228,X229)
| aSubsetOf0(slbdtrb0(X228),slbdtrb0(X229))
| ~ aElementOf0(X228,szNzAzT0)
| ~ aElementOf0(X229,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X228),slbdtrb0(X229))
| sdtlseqdt0(X228,X229)
| ~ aElementOf0(X228,szNzAzT0)
| ~ aElementOf0(X229,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
fof(i_0_83,plain,
! [X136,X137,X138,X139] :
( ( aSet0(X137)
| ~ aSubsetOf0(X137,X136)
| ~ aSet0(X136) )
& ( ~ aElementOf0(X138,X137)
| aElementOf0(X138,X136)
| ~ aSubsetOf0(X137,X136)
| ~ aSet0(X136) )
& ( aElementOf0(esk2_2(X136,X139),X139)
| ~ aSet0(X139)
| aSubsetOf0(X139,X136)
| ~ aSet0(X136) )
& ( ~ aElementOf0(esk2_2(X136,X139),X136)
| ~ aSet0(X139)
| aSubsetOf0(X139,X136)
| ~ aSet0(X136) ) ),
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_84,plain,
! [X187,X188] :
( ~ aElementOf0(X187,szNzAzT0)
| ~ aElementOf0(X188,szNzAzT0)
| ~ sdtlseqdt0(X187,X188)
| ~ sdtlseqdt0(X188,X187)
| X187 = X188 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(i_0_85,negated_conjecture,
! [X263] :
( aSet0(sdtlbdtrb0(xF,xy))
& ( aElementOf0(X263,szDzozmdt0(xF))
| ~ aElementOf0(X263,sdtlbdtrb0(xF,xy)) )
& ( sdtlpdtrp0(xF,X263) = xy
| ~ aElementOf0(X263,sdtlbdtrb0(xF,xy)) )
& ( ~ aElementOf0(X263,szDzozmdt0(xF))
| sdtlpdtrp0(xF,X263) != xy
| aElementOf0(X263,sdtlbdtrb0(xF,xy)) )
& aElementOf0(esk14_0,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(esk14_0,szDzozmdt0(xF))
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_61])])])])]) ).
fof(i_0_86,plain,
! [X146,X147,X148] :
( ~ aSet0(X146)
| ~ aSet0(X147)
| ~ aSet0(X148)
| ~ aSubsetOf0(X146,X147)
| ~ aSubsetOf0(X147,X148)
| aSubsetOf0(X146,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(i_0_87,plain,
! [X198,X199] :
( ~ aSet0(X198)
| ~ isFinite0(X198)
| ~ aElement0(X199)
| aElementOf0(X199,X198)
| sbrdtbr0(sdtpldt0(X198,X199)) = szszuzczcdt0(sbrdtbr0(X198)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_62])])]) ).
fof(i_0_88,plain,
! [X192,X193] :
( ~ aElementOf0(X192,szNzAzT0)
| ~ aElementOf0(X193,szNzAzT0)
| sdtlseqdt0(X192,X193)
| sdtlseqdt0(szszuzczcdt0(X193),X192) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(i_0_89,plain,
! [X163,X164] :
( ~ aSet0(X163)
| ~ aElementOf0(X164,X163)
| sdtpldt0(sdtmndt0(X163,X164),X164) = X163 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
fof(i_0_90,plain,
! [X165,X166] :
( ~ aElement0(X165)
| ~ aSet0(X166)
| aElementOf0(X165,X166)
| sdtmndt0(sdtpldt0(X166,X165),X165) = X166 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_63])]) ).
fof(i_0_91,plain,
! [X254,X255] :
( ~ aFunction0(X254)
| ~ aElementOf0(X255,szDzozmdt0(X254))
| aElement0(sdtlpdtrp0(X254,X255)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgElm])])]) ).
fof(i_0_92,plain,
! [X244,X245] :
( ~ aSet0(X244)
| ~ isCountable0(X244)
| ~ aElementOf0(X245,szNzAzT0)
| X245 = sz00
| isCountable0(slbdtsldtrb0(X244,X245)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelCSet])])]) ).
fof(i_0_93,plain,
! [X240,X241] :
( ~ aSet0(X240)
| ~ isFinite0(X240)
| ~ aElementOf0(X241,szNzAzT0)
| isFinite0(slbdtsldtrb0(X240,X241)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelFSet])])]) ).
fof(i_0_94,plain,
! [X202,X203] :
( ~ aSet0(X202)
| ~ isFinite0(X202)
| ~ aSubsetOf0(X203,X202)
| sdtlseqdt0(sbrdtbr0(X203),sbrdtbr0(X202)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
fof(i_0_95,plain,
! [X144,X145] :
( ~ aSet0(X144)
| ~ aSet0(X145)
| ~ aSubsetOf0(X144,X145)
| ~ aSubsetOf0(X145,X144)
| X144 = X145 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
fof(i_0_96,plain,
! [X230] :
( ( aElementOf0(esk10_1(X230),szNzAzT0)
| ~ aSubsetOf0(X230,szNzAzT0)
| ~ isFinite0(X230) )
& ( aSubsetOf0(X230,slbdtrb0(esk10_1(X230)))
| ~ aSubsetOf0(X230,szNzAzT0)
| ~ isFinite0(X230) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFinSubSeg])])])]) ).
fof(i_0_97,plain,
! [X176,X177] :
( ~ aElementOf0(X176,szNzAzT0)
| ~ aElementOf0(X177,szNzAzT0)
| szszuzczcdt0(X176) != szszuzczcdt0(X177)
| X176 = X177 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(i_0_98,plain,
! [X242,X243] :
( ~ aSet0(X242)
| isFinite0(X242)
| ~ aElementOf0(X243,szNzAzT0)
| slbdtsldtrb0(X242,X243) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_64])])]) ).
fof(i_0_99,plain,
! [X169,X170] :
( ~ aElement0(X169)
| ~ aSet0(X170)
| ~ isCountable0(X170)
| isCountable0(sdtmndt0(X170,X169)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])]) ).
fof(i_0_100,plain,
! [X167,X168] :
( ~ aElement0(X167)
| ~ aSet0(X168)
| ~ isCountable0(X168)
| isCountable0(sdtpldt0(X168,X167)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])]) ).
fof(i_0_101,plain,
! [X173,X174] :
( ~ aElement0(X173)
| ~ aSet0(X174)
| ~ isFinite0(X174)
| isFinite0(sdtmndt0(X174,X173)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
fof(i_0_102,plain,
! [X171,X172] :
( ~ aElement0(X171)
| ~ aSet0(X172)
| ~ isFinite0(X172)
| isFinite0(sdtpldt0(X172,X171)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])]) ).
fof(i_0_103,plain,
! [X182] :
( ~ aElementOf0(X182,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X182),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])]) ).
fof(i_0_104,plain,
! [X141,X142] :
( ~ aSet0(X141)
| ~ isFinite0(X141)
| ~ aSubsetOf0(X142,X141)
| isFinite0(X142) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
fof(i_0_105,plain,
! [X196] :
( ( ~ aElementOf0(sbrdtbr0(X196),szNzAzT0)
| isFinite0(X196)
| ~ aSet0(X196) )
& ( ~ isFinite0(X196)
| aElementOf0(sbrdtbr0(X196),szNzAzT0)
| ~ aSet0(X196) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(i_0_106,plain,
! [X178] :
( ( aElementOf0(esk5_1(X178),szNzAzT0)
| X178 = sz00
| ~ aElementOf0(X178,szNzAzT0) )
& ( X178 = szszuzczcdt0(esk5_1(X178))
| X178 = sz00
| ~ aElementOf0(X178,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
fof(i_0_107,plain,
! [X194] :
( ~ aElementOf0(X194,szNzAzT0)
| iLess0(X194,szszuzczcdt0(X194)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_108,plain,
! [X185] :
( ~ aElementOf0(X185,szNzAzT0)
| sdtlseqdt0(X185,szszuzczcdt0(X185)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_109,plain,
! [X175] :
( ( aElementOf0(szszuzczcdt0(X175),szNzAzT0)
| ~ aElementOf0(X175,szNzAzT0) )
& ( szszuzczcdt0(X175) != sz00
| ~ aElementOf0(X175,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(i_0_110,plain,
! [X186] :
( ~ aElementOf0(X186,szNzAzT0)
| sdtlseqdt0(X186,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_111,plain,
! [X128,X129] :
( ~ aSet0(X128)
| ~ aElementOf0(X129,X128)
| aElement0(X129) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_112,plain,
! [X181] :
( ~ aElementOf0(X181,szNzAzT0)
| sdtlseqdt0(sz00,X181) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_113,plain,
! [X232] :
( ~ aElementOf0(X232,szNzAzT0)
| sbrdtbr0(slbdtrb0(X232)) = X232 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
fof(i_0_114,plain,
! [X225] :
( ~ aElementOf0(X225,szNzAzT0)
| isFinite0(slbdtrb0(X225)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_115,plain,
! [X130,X131,X132] :
( ( aSet0(X130)
| X130 != slcrc0 )
& ( ~ aElementOf0(X131,X130)
| X130 != slcrc0 )
& ( ~ aSet0(X132)
| aElementOf0(esk1_1(X132),X132)
| X132 = 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_116,plain,
! [X180] :
( ~ aElementOf0(X180,szNzAzT0)
| X180 != szszuzczcdt0(X180) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_117,plain,
! [X143] :
( ~ aSet0(X143)
| aSubsetOf0(X143,X143) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_118,plain,
! [X134] :
( ~ aSet0(X134)
| ~ isCountable0(X134)
| ~ isFinite0(X134) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])]) ).
fof(i_0_119,plain,
! [X195] :
( ~ aSet0(X195)
| aElement0(sbrdtbr0(X195)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_120,plain,
! [X253] :
( ~ aFunction0(X253)
| aSet0(szDzozmdt0(X253)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
fof(i_0_121,plain,
! [X135] :
( ~ aSet0(X135)
| ~ isCountable0(X135)
| X135 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_122,plain,
! [X197] :
( ( sbrdtbr0(X197) != sz00
| X197 = slcrc0
| ~ aSet0(X197) )
& ( X197 != slcrc0
| sbrdtbr0(X197) = sz00
| ~ aSet0(X197) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
cnf(i_0_123,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_67]),
[final] ).
cnf(i_0_124,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_68]),
[final] ).
cnf(i_0_125,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_69]),
[final] ).
cnf(i_0_126,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_70]),
[final] ).
cnf(i_0_127,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_70]),
[final] ).
cnf(i_0_128,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_71]),
[final] ).
cnf(i_0_129,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_70]),
[final] ).
cnf(i_0_130,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_69]),
[final] ).
cnf(i_0_131,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_68]),
[final] ).
cnf(i_0_132,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_69]),
[final] ).
cnf(i_0_133,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_68]),
[final] ).
cnf(i_0_134,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_67]),
[final] ).
cnf(i_0_135,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_72]),
[final] ).
cnf(i_0_136,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_67]),
[final] ).
cnf(i_0_137,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_70]),
[final] ).
cnf(i_0_138,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_67]),
[final] ).
cnf(i_0_139,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_71]),
[final] ).
cnf(i_0_140,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_71]),
[final] ).
cnf(i_0_141,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_73]),
[final] ).
cnf(i_0_142,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_72]),
[final] ).
cnf(i_0_143,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_74]),
[final] ).
cnf(i_0_144,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_75]),
[final] ).
cnf(i_0_145,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_76]),
[final] ).
cnf(i_0_146,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_77]),
[final] ).
cnf(i_0_147,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_78]),
[final] ).
cnf(i_0_148,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_72]),
[final] ).
cnf(i_0_149,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_68]),
[final] ).
cnf(i_0_150,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_79]),
[final] ).
cnf(i_0_151,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_152,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_153,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_79]),
[final] ).
cnf(i_0_154,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_75]),
[final] ).
cnf(i_0_155,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_69]),
[final] ).
cnf(i_0_156,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_157,plain,
( sdtlseqdt0(X1,X2)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_158,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_159,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_160,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_78]),
[final] ).
cnf(i_0_161,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_162,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_163,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_164,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_165,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_67]),
[final] ).
cnf(i_0_166,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_167,negated_conjecture,
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
| ~ aElementOf0(X1,szDzozmdt0(xF))
| sdtlpdtrp0(xF,X1) != xy ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_168,plain,
( aElementOf0(X1,szDzozmdt0(X2))
| ~ aElementOf0(X1,X3)
| X3 != sdtlbdtrb0(X2,X4)
| ~ aFunction0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_169,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_170,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_171,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_172,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_173,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_174,plain,
( sdtlpdtrp0(X1,X2) = X3
| ~ aElementOf0(X2,X4)
| X4 != sdtlbdtrb0(X1,X3)
| ~ aFunction0(X1)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_175,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_176,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_177,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_178,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_179,negated_conjecture,
( aElementOf0(X1,szDzozmdt0(xF))
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_180,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_181,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_182,plain,
( aElement0(sdtlpdtrp0(X1,X2))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_183,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_184,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_185,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_186,negated_conjecture,
( sdtlpdtrp0(xF,X1) = xy
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_187,plain,
( X2 = sz00
| isCountable0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_188,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_189,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_190,plain,
( isFinite0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_191,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_192,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_193,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_194,plain,
( aElementOf0(X1,X3)
| X1 != X2
| ~ aElement0(X1)
| X3 != sdtpldt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_195,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_196,plain,
( aSubsetOf0(X1,slbdtrb0(esk10_1(X1)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_197,negated_conjecture,
~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_198,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_199,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_200,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_201,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_202,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_203,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_204,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_205,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_206,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_207,plain,
( aElementOf0(esk10_1(X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_208,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_209,plain,
( aSet0(X1)
| X1 != sdtlbdtrb0(X2,X3)
| ~ aFunction0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_210,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_211,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_212,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_213,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_214,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_215,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_216,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_217,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_218,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_219,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_220,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_221,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_222,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_223,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_224,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_225,negated_conjecture,
aElementOf0(esk14_0,sdtlbdtrb0(xF,xy)),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_226,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_227,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_228,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_229,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_230,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_231,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_232,negated_conjecture,
~ aElementOf0(esk14_0,szDzozmdt0(xF)),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_233,negated_conjecture,
aSet0(sdtlbdtrb0(xF,xy)),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_234,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_235,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_236,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_237,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_238,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_239,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_240,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_241,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_242,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_243,hypothesis,
aFunction0(xF),
inference(split_conjunct,[status(thm)],[m__2693]),
[final] ).
cnf(i_0_244,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_245,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_246,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__2693]),
[final] ).
cnf(i_0_247,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_248,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]),
[final] ).
cnf(i_0_249,axiom,
X1 = X1 ).
cnf(i_0_250,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_251,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_252,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_253,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_254,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_255,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_256,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_257,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_258,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_259,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_260,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_261,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_262,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_263,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_264,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_265,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_266,axiom,
( X1 != X2
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X2,X3) ) ).
cnf(i_0_267,axiom,
( X1 != X2
| sdtlbdtrb0(X3,X1) = sdtlbdtrb0(X3,X2) ) ).
cnf(i_0_268,axiom,
( X1 != X2
| sdtlpdtrp0(X1,X3) = sdtlpdtrp0(X2,X3) ) ).
cnf(i_0_269,axiom,
( X1 != X2
| sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X3,X2) ) ).
cnf(i_0_270,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_271,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_272,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_273,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_274,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_275,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_276,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_277,axiom,
( X1 != X2
| ~ aFunction0(X1)
| aFunction0(X2) ) ).
cnf(i_0_278,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_279,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_280,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_281,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_282,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_283,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_284,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_285,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_249_001,axiom,
X1 = X1 ).
cnf(i_0_250_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_251_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_252_004,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_253_005,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_254_006,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_255_007,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_256_008,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_257_009,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_258_010,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_259_011,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_260_012,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_261_013,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_262_014,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_263_015,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_264_016,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_265_017,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_266_018,axiom,
( X1 != X2
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X2,X3) ) ).
cnf(i_0_267_019,axiom,
( X1 != X2
| sdtlbdtrb0(X3,X1) = sdtlbdtrb0(X3,X2) ) ).
cnf(i_0_268_020,axiom,
( X1 != X2
| sdtlpdtrp0(X1,X3) = sdtlpdtrp0(X2,X3) ) ).
cnf(i_0_269_021,axiom,
( X1 != X2
| sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X3,X2) ) ).
cnf(i_0_270_022,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_271_023,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_272_024,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_273_025,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_274_026,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_275_027,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_276_028,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_277_029,axiom,
( X1 != X2
| ~ aFunction0(X1)
| aFunction0(X2) ) ).
cnf(i_0_278_030,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_279_031,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_280_032,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_281_033,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_282_034,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_283_035,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_284_036,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_285_037,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_286,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[158]) ).
cnf(i_0_287,plain,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0) ),
inference(equality_inference,[],[163]) ).
cnf(i_0_288,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| X1 = X3
| aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[165]) ).
cnf(i_0_289,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[166]) ).
cnf(i_0_290,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtlbdtrb0(X1,X2))
| aElementOf0(X3,szDzozmdt0(X1)) ),
inference(equality_inference,[],[168]) ).
cnf(i_0_291,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0)
| sbrdtbr0(X2) = X3 ),
inference(equality_inference,[],[170]) ).
cnf(i_0_292,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| X3 = X2
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[171]) ).
cnf(i_0_293,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(equality_inference,[],[172]) ).
cnf(i_0_294,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X3) = X2 ),
inference(equality_inference,[],[174]) ).
cnf(i_0_295,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[176]) ).
cnf(i_0_296,plain,
( ~ aElementOf0(X1,X2)
| ~ isFinite0(X2)
| sdtlseqdt0(X1,szmzazxdt0(X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[177]) ).
cnf(i_0_297,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[178]) ).
cnf(i_0_298,plain,
( ~ aElementOf0(X1,X2)
| sdtlseqdt0(szmzizndt0(X2),X1)
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[184]) ).
cnf(i_0_299,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[188]) ).
cnf(i_0_300,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[189]) ).
cnf(i_0_301,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[192]) ).
cnf(i_0_302,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[198]) ).
cnf(i_0_303,plain,
( ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(equality_inference,[],[199]) ).
cnf(i_0_304,plain,
( ~ isFinite0(X1)
| aElementOf0(szmzazxdt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[205]) ).
cnf(i_0_305,plain,
( aElementOf0(szmzizndt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[208]) ).
cnf(i_0_306,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| aSet0(sdtlbdtrb0(X1,X2)) ),
inference(equality_inference,[],[209]) ).
cnf(i_0_307,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[210]) ).
cnf(i_0_308,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[211]) ).
cnf(i_0_309,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[222]) ).
cnf(i_0_310,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[231]) ).
cnf(i_0_311,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_inference,[],[238]) ).
cnf(i_0_312,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_inference,[],[240]) ).
cnf(i_0_313,plain,
aSet0(slcrc0),
inference(equality_inference,[],[242]) ).
cnf(i_0_314,plain,
$false,
inference(scs_inference,[],[i_0_232,i_0_225,i_0_179]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM560+2 : TPTP v9.2.1. Released v4.0.0.
% 0.13/0.13 % 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
% 0.16/0.34 % Computer : n028.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 00:45:00 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.35/1.63 % Version : CSE_E---1.7
% 0.35/1.63 % Problem : theBenchmark.p
% 0.35/1.63 % SZS status Theorem for theBenchmark.p
% 0.35/1.63 % SZS output start CNFRefutation
% See solution above
% 0.35/1.67 % Total time : 1.272s
%------------------------------------------------------------------------------