%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM552+3 : 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 : n008.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 04:57:48 PM UTC 2026
% Result : Theorem 0.41s 1.61s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 156)
% 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__,conjecture,
( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(mDefMax,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzazxdt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(mMinMin,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X2,szNzAzT0)
& X1 != slcrc0
& X2 != slcrc0 )
=> ( ( aElementOf0(szmzizndt0(X1),X2)
& aElementOf0(szmzizndt0(X2),X1) )
=> szmzizndt0(X1) = szmzizndt0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(mCardSubEx,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ( ( isFinite0(X1)
& sdtlseqdt0(X2,sbrdtbr0(X1)) )
=> ? [X3] :
( aSubsetOf0(X3,X1)
& sbrdtbr0(X3) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSubEx) ).
fof(mCardDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(m__2227,hypothesis,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) )
& aSubsetOf0(X1,xT)
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xT) ) )
| aSubsetOf0(X1,xT) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) ) )
& ! [X1] :
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> aElementOf0(X1,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xS,xk) = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(mSelCSet,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ! [X2] :
( ( aElementOf0(X2,szNzAzT0)
& X2 != sz00 )
=> isCountable0(slbdtsldtrb0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelCSet) ).
fof(mSelFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelFSet) ).
fof(mCardSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aSubsetOf0(X2,X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSub) ).
fof(mSubASymm,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(mFinSubSeg,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aSubsetOf0(X1,slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(mSuccEquSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(mCDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
fof(mCConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(mFConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFConsSet) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(mLessRefl,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
fof(m__2270,hypothesis,
( aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegFin) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(m__2304,hypothesis,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2304) ).
fof(m__2256,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2256) ).
fof(m__2202,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(m__2291,hypothesis,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
fof(m__2202_02,hypothesis,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(i_0_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,negated_conjecture,
~ ( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_68,plain,
! [X151,X152,X153,X154,X155,X156] :
( ( aSet0(X153)
| X153 != sdtmndt0(X151,X152)
| ~ aSet0(X151)
| ~ aElement0(X152) )
& ( aElement0(X154)
| ~ aElementOf0(X154,X153)
| X153 != sdtmndt0(X151,X152)
| ~ aSet0(X151)
| ~ aElement0(X152) )
& ( aElementOf0(X154,X151)
| ~ aElementOf0(X154,X153)
| X153 != sdtmndt0(X151,X152)
| ~ aSet0(X151)
| ~ aElement0(X152) )
& ( X154 != X152
| ~ aElementOf0(X154,X153)
| X153 != sdtmndt0(X151,X152)
| ~ aSet0(X151)
| ~ aElement0(X152) )
& ( ~ aElement0(X155)
| ~ aElementOf0(X155,X151)
| X155 = X152
| aElementOf0(X155,X153)
| X153 != sdtmndt0(X151,X152)
| ~ aSet0(X151)
| ~ aElement0(X152) )
& ( ~ aElementOf0(esk4_3(X151,X152,X156),X156)
| ~ aElement0(esk4_3(X151,X152,X156))
| ~ aElementOf0(esk4_3(X151,X152,X156),X151)
| esk4_3(X151,X152,X156) = X152
| ~ aSet0(X156)
| X156 = sdtmndt0(X151,X152)
| ~ aSet0(X151)
| ~ aElement0(X152) )
& ( aElement0(esk4_3(X151,X152,X156))
| aElementOf0(esk4_3(X151,X152,X156),X156)
| ~ aSet0(X156)
| X156 = sdtmndt0(X151,X152)
| ~ aSet0(X151)
| ~ aElement0(X152) )
& ( aElementOf0(esk4_3(X151,X152,X156),X151)
| aElementOf0(esk4_3(X151,X152,X156),X156)
| ~ aSet0(X156)
| X156 = sdtmndt0(X151,X152)
| ~ aSet0(X151)
| ~ aElement0(X152) )
& ( esk4_3(X151,X152,X156) != X152
| aElementOf0(esk4_3(X151,X152,X156),X156)
| ~ aSet0(X156)
| X156 = sdtmndt0(X151,X152)
| ~ aSet0(X151)
| ~ aElement0(X152) ) ),
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_69,plain,
! [X228,X229,X230,X231,X232,X233] :
( ( aSet0(X230)
| X230 != slbdtsldtrb0(X228,X229)
| ~ aSet0(X228)
| ~ aElementOf0(X229,szNzAzT0) )
& ( aSubsetOf0(X231,X228)
| ~ aElementOf0(X231,X230)
| X230 != slbdtsldtrb0(X228,X229)
| ~ aSet0(X228)
| ~ aElementOf0(X229,szNzAzT0) )
& ( sbrdtbr0(X231) = X229
| ~ aElementOf0(X231,X230)
| X230 != slbdtsldtrb0(X228,X229)
| ~ aSet0(X228)
| ~ aElementOf0(X229,szNzAzT0) )
& ( ~ aSubsetOf0(X232,X228)
| sbrdtbr0(X232) != X229
| aElementOf0(X232,X230)
| X230 != slbdtsldtrb0(X228,X229)
| ~ aSet0(X228)
| ~ aElementOf0(X229,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X228,X229,X233),X233)
| ~ aSubsetOf0(esk11_3(X228,X229,X233),X228)
| sbrdtbr0(esk11_3(X228,X229,X233)) != X229
| ~ aSet0(X233)
| X233 = slbdtsldtrb0(X228,X229)
| ~ aSet0(X228)
| ~ aElementOf0(X229,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X228,X229,X233),X228)
| aElementOf0(esk11_3(X228,X229,X233),X233)
| ~ aSet0(X233)
| X233 = slbdtsldtrb0(X228,X229)
| ~ aSet0(X228)
| ~ aElementOf0(X229,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X228,X229,X233)) = X229
| aElementOf0(esk11_3(X228,X229,X233),X233)
| ~ aSet0(X233)
| X233 = slbdtsldtrb0(X228,X229)
| ~ aSet0(X228)
| ~ aElementOf0(X229,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,
! [X144,X145,X146,X147,X148,X149] :
( ( aSet0(X146)
| X146 != sdtpldt0(X144,X145)
| ~ aSet0(X144)
| ~ aElement0(X145) )
& ( aElement0(X147)
| ~ aElementOf0(X147,X146)
| X146 != sdtpldt0(X144,X145)
| ~ aSet0(X144)
| ~ aElement0(X145) )
& ( aElementOf0(X147,X144)
| X147 = X145
| ~ aElementOf0(X147,X146)
| X146 != sdtpldt0(X144,X145)
| ~ aSet0(X144)
| ~ aElement0(X145) )
& ( ~ aElementOf0(X148,X144)
| ~ aElement0(X148)
| aElementOf0(X148,X146)
| X146 != sdtpldt0(X144,X145)
| ~ aSet0(X144)
| ~ aElement0(X145) )
& ( X148 != X145
| ~ aElement0(X148)
| aElementOf0(X148,X146)
| X146 != sdtpldt0(X144,X145)
| ~ aSet0(X144)
| ~ aElement0(X145) )
& ( ~ aElementOf0(esk3_3(X144,X145,X149),X144)
| ~ aElement0(esk3_3(X144,X145,X149))
| ~ aElementOf0(esk3_3(X144,X145,X149),X149)
| ~ aSet0(X149)
| X149 = sdtpldt0(X144,X145)
| ~ aSet0(X144)
| ~ aElement0(X145) )
& ( esk3_3(X144,X145,X149) != X145
| ~ aElement0(esk3_3(X144,X145,X149))
| ~ aElementOf0(esk3_3(X144,X145,X149),X149)
| ~ aSet0(X149)
| X149 = sdtpldt0(X144,X145)
| ~ aSet0(X144)
| ~ aElement0(X145) )
& ( aElement0(esk3_3(X144,X145,X149))
| aElementOf0(esk3_3(X144,X145,X149),X149)
| ~ aSet0(X149)
| X149 = sdtpldt0(X144,X145)
| ~ aSet0(X144)
| ~ aElement0(X145) )
& ( aElementOf0(esk3_3(X144,X145,X149),X144)
| esk3_3(X144,X145,X149) = X145
| aElementOf0(esk3_3(X144,X145,X149),X149)
| ~ aSet0(X149)
| X149 = sdtpldt0(X144,X145)
| ~ aSet0(X144)
| ~ aElement0(X145) ) ),
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,
! [X214,X215,X216,X217,X218] :
( ( aSet0(X215)
| X215 != slbdtrb0(X214)
| ~ aElementOf0(X214,szNzAzT0) )
& ( aElementOf0(X216,szNzAzT0)
| ~ aElementOf0(X216,X215)
| X215 != slbdtrb0(X214)
| ~ aElementOf0(X214,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X216),X214)
| ~ aElementOf0(X216,X215)
| X215 != slbdtrb0(X214)
| ~ aElementOf0(X214,szNzAzT0) )
& ( ~ aElementOf0(X217,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X217),X214)
| aElementOf0(X217,X215)
| X215 != slbdtrb0(X214)
| ~ aElementOf0(X214,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X214,X218),X218)
| ~ aElementOf0(esk9_2(X214,X218),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X214,X218)),X214)
| ~ aSet0(X218)
| X218 = slbdtrb0(X214)
| ~ aElementOf0(X214,szNzAzT0) )
& ( aElementOf0(esk9_2(X214,X218),szNzAzT0)
| aElementOf0(esk9_2(X214,X218),X218)
| ~ aSet0(X218)
| X218 = slbdtrb0(X214)
| ~ aElementOf0(X214,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X214,X218)),X214)
| aElementOf0(esk9_2(X214,X218),X218)
| ~ aSet0(X218)
| X218 = slbdtrb0(X214)
| ~ aElementOf0(X214,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_72,plain,
! [X184,X185,X186] :
( ~ aElementOf0(X184,szNzAzT0)
| ~ aElementOf0(X185,szNzAzT0)
| ~ aElementOf0(X186,szNzAzT0)
| ~ sdtlseqdt0(X184,X185)
| ~ sdtlseqdt0(X185,X186)
| sdtlseqdt0(X184,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(i_0_73,plain,
! [X207,X208,X209,X210] :
( ( aElementOf0(X208,X207)
| X208 != szmzazxdt0(X207)
| ~ aSubsetOf0(X207,szNzAzT0)
| ~ isFinite0(X207)
| X207 = slcrc0 )
& ( ~ aElementOf0(X209,X207)
| sdtlseqdt0(X209,X208)
| X208 != szmzazxdt0(X207)
| ~ aSubsetOf0(X207,szNzAzT0)
| ~ isFinite0(X207)
| X207 = slcrc0 )
& ( aElementOf0(esk8_2(X207,X210),X207)
| ~ aElementOf0(X210,X207)
| X210 = szmzazxdt0(X207)
| ~ aSubsetOf0(X207,szNzAzT0)
| ~ isFinite0(X207)
| X207 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X207,X210),X210)
| ~ aElementOf0(X210,X207)
| X210 = szmzazxdt0(X207)
| ~ aSubsetOf0(X207,szNzAzT0)
| ~ isFinite0(X207)
| 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)],[mDefMax])])])])])]) ).
fof(i_0_74,plain,
! [X212,X213] :
( ~ aSubsetOf0(X212,szNzAzT0)
| ~ aSubsetOf0(X213,szNzAzT0)
| X212 = slcrc0
| X213 = slcrc0
| ~ aElementOf0(szmzizndt0(X212),X213)
| ~ aElementOf0(szmzizndt0(X213),X212)
| szmzizndt0(X212) = szmzizndt0(X213) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMinMin])]) ).
fof(i_0_75,plain,
! [X221,X222] :
( ( ~ aElementOf0(X221,slbdtrb0(szszuzczcdt0(X222)))
| aElementOf0(X221,slbdtrb0(X222))
| X221 = X222
| ~ aElementOf0(X221,szNzAzT0)
| ~ aElementOf0(X222,szNzAzT0) )
& ( ~ aElementOf0(X221,slbdtrb0(X222))
| aElementOf0(X221,slbdtrb0(szszuzczcdt0(X222)))
| ~ aElementOf0(X221,szNzAzT0)
| ~ aElementOf0(X222,szNzAzT0) )
& ( X221 != X222
| aElementOf0(X221,slbdtrb0(szszuzczcdt0(X222)))
| ~ aElementOf0(X221,szNzAzT0)
| ~ aElementOf0(X222,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
fof(i_0_76,plain,
! [X202,X203,X204,X205] :
( ( aElementOf0(X203,X202)
| X203 != szmzizndt0(X202)
| ~ aSubsetOf0(X202,szNzAzT0)
| X202 = slcrc0 )
& ( ~ aElementOf0(X204,X202)
| sdtlseqdt0(X203,X204)
| X203 != szmzizndt0(X202)
| ~ aSubsetOf0(X202,szNzAzT0)
| X202 = slcrc0 )
& ( aElementOf0(esk7_2(X202,X205),X202)
| ~ aElementOf0(X205,X202)
| X205 = szmzizndt0(X202)
| ~ aSubsetOf0(X202,szNzAzT0)
| X202 = slcrc0 )
& ( ~ sdtlseqdt0(X205,esk7_2(X202,X205))
| ~ aElementOf0(X205,X202)
| X205 = szmzizndt0(X202)
| ~ aSubsetOf0(X202,szNzAzT0)
| X202 = 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_77,plain,
! [X199,X200] :
( ( aSubsetOf0(esk6_2(X199,X200),X199)
| ~ isFinite0(X199)
| ~ sdtlseqdt0(X200,sbrdtbr0(X199))
| ~ aSet0(X199)
| ~ aElementOf0(X200,szNzAzT0) )
& ( sbrdtbr0(esk6_2(X199,X200)) = X200
| ~ isFinite0(X199)
| ~ sdtlseqdt0(X200,sbrdtbr0(X199))
| ~ aSet0(X199)
| ~ aElementOf0(X200,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])]) ).
fof(i_0_78,plain,
! [X195,X196] :
( ~ aSet0(X195)
| ~ isFinite0(X195)
| ~ aElementOf0(X196,X195)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X195,X196))) = sbrdtbr0(X195) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])]) ).
fof(i_0_79,plain,
! [X178,X179] :
( ( ~ sdtlseqdt0(X178,X179)
| sdtlseqdt0(szszuzczcdt0(X178),szszuzczcdt0(X179))
| ~ aElementOf0(X178,szNzAzT0)
| ~ aElementOf0(X179,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X178),szszuzczcdt0(X179))
| sdtlseqdt0(X178,X179)
| ~ aElementOf0(X178,szNzAzT0)
| ~ aElementOf0(X179,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(i_0_80,plain,
! [X223,X224] :
( ( ~ sdtlseqdt0(X223,X224)
| aSubsetOf0(slbdtrb0(X223),slbdtrb0(X224))
| ~ aElementOf0(X223,szNzAzT0)
| ~ aElementOf0(X224,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X223),slbdtrb0(X224))
| sdtlseqdt0(X223,X224)
| ~ aElementOf0(X223,szNzAzT0)
| ~ aElementOf0(X224,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
fof(i_0_81,plain,
! [X131,X132,X133,X134] :
( ( aSet0(X132)
| ~ aSubsetOf0(X132,X131)
| ~ aSet0(X131) )
& ( ~ aElementOf0(X133,X132)
| aElementOf0(X133,X131)
| ~ aSubsetOf0(X132,X131)
| ~ aSet0(X131) )
& ( aElementOf0(esk2_2(X131,X134),X134)
| ~ aSet0(X134)
| aSubsetOf0(X134,X131)
| ~ aSet0(X131) )
& ( ~ aElementOf0(esk2_2(X131,X134),X131)
| ~ aSet0(X134)
| aSubsetOf0(X134,X131)
| ~ aSet0(X131) ) ),
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_82,hypothesis,
! [X241,X242,X243,X245,X246,X247,X249,X250,X251,X252] :
( aSet0(slbdtsldtrb0(xS,xk))
& ( aSet0(X241)
| ~ aElementOf0(X241,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X242,X241)
| aElementOf0(X242,xS)
| ~ aElementOf0(X241,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X241,xS)
| ~ aElementOf0(X241,slbdtsldtrb0(xS,xk)) )
& ( sbrdtbr0(X241) = xk
| ~ aElementOf0(X241,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk12_1(X243),X243)
| ~ aSet0(X243)
| sbrdtbr0(X243) != xk
| aElementOf0(X243,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk12_1(X243),xS)
| ~ aSet0(X243)
| sbrdtbr0(X243) != xk
| aElementOf0(X243,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X243,xS)
| sbrdtbr0(X243) != xk
| aElementOf0(X243,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xT,xk))
& ( aSet0(X245)
| ~ aElementOf0(X245,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X246,X245)
| aElementOf0(X246,xT)
| ~ aElementOf0(X245,slbdtsldtrb0(xT,xk)) )
& ( aSubsetOf0(X245,xT)
| ~ aElementOf0(X245,slbdtsldtrb0(xT,xk)) )
& ( sbrdtbr0(X245) = xk
| ~ aElementOf0(X245,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(esk13_1(X247),X247)
| ~ aSet0(X247)
| sbrdtbr0(X247) != xk
| aElementOf0(X247,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(esk13_1(X247),xT)
| ~ aSet0(X247)
| sbrdtbr0(X247) != xk
| aElementOf0(X247,slbdtsldtrb0(xT,xk)) )
& ( ~ aSubsetOf0(X247,xT)
| sbrdtbr0(X247) != xk
| aElementOf0(X247,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X249,slbdtsldtrb0(xS,xk))
| aElementOf0(X249,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ( aSet0(X250)
| ~ aElementOf0(X250,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X251,X250)
| aElementOf0(X251,xS)
| ~ aElementOf0(X250,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X250,xS)
| ~ aElementOf0(X250,slbdtsldtrb0(xS,xk)) )
& ( sbrdtbr0(X250) = xk
| ~ aElementOf0(X250,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk14_1(X252),X252)
| ~ aSet0(X252)
| sbrdtbr0(X252) != xk
| aElementOf0(X252,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk14_1(X252),xS)
| ~ aSet0(X252)
| sbrdtbr0(X252) != xk
| aElementOf0(X252,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X252,xS)
| sbrdtbr0(X252) != xk
| aElementOf0(X252,slbdtsldtrb0(xS,xk)) )
& aElementOf0(esk15_0,slbdtsldtrb0(xS,xk))
& slbdtsldtrb0(xS,xk) != 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)],[m__2227])])])])])]) ).
fof(i_0_83,plain,
! [X182,X183] :
( ~ aElementOf0(X182,szNzAzT0)
| ~ aElementOf0(X183,szNzAzT0)
| ~ sdtlseqdt0(X182,X183)
| ~ sdtlseqdt0(X183,X182)
| X182 = X183 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(i_0_84,plain,
! [X141,X142,X143] :
( ~ aSet0(X141)
| ~ aSet0(X142)
| ~ aSet0(X143)
| ~ aSubsetOf0(X141,X142)
| ~ aSubsetOf0(X142,X143)
| aSubsetOf0(X141,X143) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(i_0_85,plain,
! [X193,X194] :
( ~ aSet0(X193)
| ~ isFinite0(X193)
| ~ aElement0(X194)
| aElementOf0(X194,X193)
| sbrdtbr0(sdtpldt0(X193,X194)) = szszuzczcdt0(sbrdtbr0(X193)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_62])])]) ).
fof(i_0_86,plain,
! [X187,X188] :
( ~ aElementOf0(X187,szNzAzT0)
| ~ aElementOf0(X188,szNzAzT0)
| sdtlseqdt0(X187,X188)
| sdtlseqdt0(szszuzczcdt0(X188),X187) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(i_0_87,plain,
! [X158,X159] :
( ~ aSet0(X158)
| ~ aElementOf0(X159,X158)
| sdtpldt0(sdtmndt0(X158,X159),X159) = X158 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
fof(i_0_88,plain,
! [X160,X161] :
( ~ aElement0(X160)
| ~ aSet0(X161)
| aElementOf0(X160,X161)
| sdtmndt0(sdtpldt0(X161,X160),X160) = X161 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_63])]) ).
fof(i_0_89,plain,
! [X239,X240] :
( ~ aSet0(X239)
| ~ isCountable0(X239)
| ~ aElementOf0(X240,szNzAzT0)
| X240 = sz00
| isCountable0(slbdtsldtrb0(X239,X240)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelCSet])])]) ).
fof(i_0_90,plain,
! [X235,X236] :
( ~ aSet0(X235)
| ~ isFinite0(X235)
| ~ aElementOf0(X236,szNzAzT0)
| isFinite0(slbdtsldtrb0(X235,X236)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelFSet])])]) ).
fof(i_0_91,plain,
! [X197,X198] :
( ~ aSet0(X197)
| ~ isFinite0(X197)
| ~ aSubsetOf0(X198,X197)
| sdtlseqdt0(sbrdtbr0(X198),sbrdtbr0(X197)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
fof(i_0_92,plain,
! [X139,X140] :
( ~ aSet0(X139)
| ~ aSet0(X140)
| ~ aSubsetOf0(X139,X140)
| ~ aSubsetOf0(X140,X139)
| X139 = X140 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
fof(i_0_93,plain,
! [X225] :
( ( aElementOf0(esk10_1(X225),szNzAzT0)
| ~ aSubsetOf0(X225,szNzAzT0)
| ~ isFinite0(X225) )
& ( aSubsetOf0(X225,slbdtrb0(esk10_1(X225)))
| ~ aSubsetOf0(X225,szNzAzT0)
| ~ isFinite0(X225) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFinSubSeg])])])]) ).
fof(i_0_94,plain,
! [X171,X172] :
( ~ aElementOf0(X171,szNzAzT0)
| ~ aElementOf0(X172,szNzAzT0)
| szszuzczcdt0(X171) != szszuzczcdt0(X172)
| X171 = X172 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(i_0_95,plain,
! [X237,X238] :
( ~ aSet0(X237)
| isFinite0(X237)
| ~ aElementOf0(X238,szNzAzT0)
| slbdtsldtrb0(X237,X238) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_64])])]) ).
fof(i_0_96,plain,
! [X164,X165] :
( ~ aElement0(X164)
| ~ aSet0(X165)
| ~ isCountable0(X165)
| isCountable0(sdtmndt0(X165,X164)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])]) ).
fof(i_0_97,plain,
! [X162,X163] :
( ~ aElement0(X162)
| ~ aSet0(X163)
| ~ isCountable0(X163)
| isCountable0(sdtpldt0(X163,X162)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])]) ).
fof(i_0_98,plain,
! [X168,X169] :
( ~ aElement0(X168)
| ~ aSet0(X169)
| ~ isFinite0(X169)
| isFinite0(sdtmndt0(X169,X168)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
fof(i_0_99,plain,
! [X166,X167] :
( ~ aElement0(X166)
| ~ aSet0(X167)
| ~ isFinite0(X167)
| isFinite0(sdtpldt0(X167,X166)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])]) ).
fof(i_0_100,plain,
! [X177] :
( ~ aElementOf0(X177,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X177),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])]) ).
fof(i_0_101,plain,
! [X136,X137] :
( ~ aSet0(X136)
| ~ isFinite0(X136)
| ~ aSubsetOf0(X137,X136)
| isFinite0(X137) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
fof(i_0_102,plain,
! [X191] :
( ( ~ aElementOf0(sbrdtbr0(X191),szNzAzT0)
| isFinite0(X191)
| ~ aSet0(X191) )
& ( ~ isFinite0(X191)
| aElementOf0(sbrdtbr0(X191),szNzAzT0)
| ~ aSet0(X191) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(i_0_103,plain,
! [X173] :
( ( aElementOf0(esk5_1(X173),szNzAzT0)
| X173 = sz00
| ~ aElementOf0(X173,szNzAzT0) )
& ( X173 = szszuzczcdt0(esk5_1(X173))
| X173 = sz00
| ~ aElementOf0(X173,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
fof(i_0_104,plain,
! [X189] :
( ~ aElementOf0(X189,szNzAzT0)
| iLess0(X189,szszuzczcdt0(X189)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_105,plain,
! [X180] :
( ~ aElementOf0(X180,szNzAzT0)
| sdtlseqdt0(X180,szszuzczcdt0(X180)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_106,plain,
! [X170] :
( ( aElementOf0(szszuzczcdt0(X170),szNzAzT0)
| ~ aElementOf0(X170,szNzAzT0) )
& ( szszuzczcdt0(X170) != sz00
| ~ aElementOf0(X170,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(i_0_107,plain,
! [X181] :
( ~ aElementOf0(X181,szNzAzT0)
| sdtlseqdt0(X181,X181) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_108,plain,
! [X123,X124] :
( ~ aSet0(X123)
| ~ aElementOf0(X124,X123)
| aElement0(X124) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_109,plain,
! [X176] :
( ~ aElementOf0(X176,szNzAzT0)
| sdtlseqdt0(sz00,X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_110,hypothesis,
! [X255] :
( aSet0(xQ)
& ( ~ aElementOf0(X255,xQ)
| aElementOf0(X255,xS) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2270])])]) ).
fof(i_0_111,plain,
! [X227] :
( ~ aElementOf0(X227,szNzAzT0)
| sbrdtbr0(slbdtrb0(X227)) = X227 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
fof(i_0_112,plain,
! [X220] :
( ~ aElementOf0(X220,szNzAzT0)
| isFinite0(slbdtrb0(X220)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_113,plain,
! [X125,X126,X127] :
( ( aSet0(X125)
| X125 != slcrc0 )
& ( ~ aElementOf0(X126,X125)
| X125 != slcrc0 )
& ( ~ aSet0(X127)
| aElementOf0(esk1_1(X127),X127)
| X127 = 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_114,plain,
! [X175] :
( ~ aElementOf0(X175,szNzAzT0)
| X175 != szszuzczcdt0(X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_115,plain,
! [X138] :
( ~ aSet0(X138)
| aSubsetOf0(X138,X138) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_116,plain,
! [X129] :
( ~ aSet0(X129)
| ~ isCountable0(X129)
| ~ isFinite0(X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])]) ).
fof(i_0_117,negated_conjecture,
( aElementOf0(xx,xQ)
& ~ aElementOf0(xx,xT) ),
inference(fof_nnf,[status(thm)],[i_0_67]) ).
fof(i_0_118,plain,
! [X190] :
( ~ aSet0(X190)
| aElement0(sbrdtbr0(X190)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_119,plain,
! [X130] :
( ~ aSet0(X130)
| ~ isCountable0(X130)
| X130 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_120,plain,
! [X192] :
( ( sbrdtbr0(X192) != sz00
| X192 = slcrc0
| ~ aSet0(X192) )
& ( X192 != slcrc0
| sbrdtbr0(X192) = sz00
| ~ aSet0(X192) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
cnf(i_0_121,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_68]),
[final] ).
cnf(i_0_122,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_123,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_124,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_125,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_126,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_127,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_128,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_68]),
[final] ).
cnf(i_0_129,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_71]),
[final] ).
cnf(i_0_130,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_68]),
[final] ).
cnf(i_0_131,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_132,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_68]),
[final] ).
cnf(i_0_133,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_71]),
[final] ).
cnf(i_0_134,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_72]),
[final] ).
cnf(i_0_135,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_73]),
[final] ).
cnf(i_0_136,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_74]),
[final] ).
cnf(i_0_137,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_75]),
[final] ).
cnf(i_0_138,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_76]),
[final] ).
cnf(i_0_139,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_71]),
[final] ).
cnf(i_0_140,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_77]),
[final] ).
cnf(i_0_141,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_142,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_143,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_77]),
[final] ).
cnf(i_0_144,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_73]),
[final] ).
cnf(i_0_145,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_146,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_147,plain,
( sdtlseqdt0(X1,X2)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_148,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_149,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_150,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_76]),
[final] ).
cnf(i_0_151,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_152,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_153,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_154,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_155,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_156,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_157,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_158,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_159,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_68]),
[final] ).
cnf(i_0_160,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_161,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_162,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_163,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(esk13_1(X1),xT)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_164,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(esk14_1(X1),xS)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_165,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(esk12_1(X1),xS)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_166,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_167,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_168,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_169,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_170,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_171,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_172,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_173,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_174,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_175,hypothesis,
( aElementOf0(esk14_1(X1),X1)
| aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_176,hypothesis,
( aElementOf0(esk13_1(X1),X1)
| aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_177,hypothesis,
( aElementOf0(esk12_1(X1),X1)
| aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_178,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_179,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_180,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_181,hypothesis,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_182,hypothesis,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_183,hypothesis,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_184,plain,
( X2 = sz00
| isCountable0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_185,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_186,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_187,plain,
( isFinite0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_188,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_189,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_190,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_191,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_192,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_193,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aSubsetOf0(X1,xT)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_194,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(X1,xS)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_195,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(X1,xS)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_196,plain,
( aSubsetOf0(X1,slbdtrb0(esk10_1(X1)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_197,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_198,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_199,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_200,hypothesis,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_201,hypothesis,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_202,hypothesis,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_203,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_204,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_205,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_206,hypothesis,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_207,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_208,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_209,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_210,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_211,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_212,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_213,plain,
( aElementOf0(esk10_1(X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_214,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_215,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_216,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_217,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_218,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_219,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_220,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_221,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_222,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_223,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_224,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_225,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_226,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_227,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_228,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_229,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_230,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_231,hypothesis,
aElementOf0(esk15_0,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_232,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_233,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_234,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_235,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_236,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_237,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_238,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_239,hypothesis,
aSet0(slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_240,hypothesis,
aSet0(slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_241,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_242,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_243,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_244,hypothesis,
slbdtsldtrb0(xS,xk) != slcrc0,
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_245,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_246,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_247,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_248,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_249,hypothesis,
aSubsetOf0(xQ,xS),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_250,hypothesis,
aElementOf0(xy,xQ),
inference(split_conjunct,[status(thm)],[m__2304]),
[final] ).
cnf(i_0_251,negated_conjecture,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_252,hypothesis,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[m__2256]),
[final] ).
cnf(i_0_253,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__2202]),
[final] ).
cnf(i_0_254,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_255,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_256,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_257,hypothesis,
isFinite0(xQ),
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_258,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_259,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__2304]),
[final] ).
cnf(i_0_260,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_261,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_262,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_263,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_264,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_265,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]),
[final] ).
cnf(i_0_266,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_267,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_268,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_269,axiom,
X1 = X1 ).
cnf(i_0_270,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_271,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_272,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_273,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_274,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_275,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_276,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_277,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_278,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_279,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_280,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_281,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_282,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_283,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_284,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_285,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_286,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_287,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_288,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_289,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_290,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_291,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_292,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_293,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_294,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_295,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_296,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_297,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_298,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_299,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_300,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_269_001,axiom,
X1 = X1 ).
cnf(i_0_270_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_271_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_272_004,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_273_005,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_274_006,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_275_007,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_276_008,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_277_009,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_278_010,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_279_011,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_280_012,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_281_013,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_282_014,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_283_015,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_284_016,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_285_017,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_286_018,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_287_019,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_288_020,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_289_021,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_290_022,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_291_023,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_292_024,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_293_025,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_294_026,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_295_027,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_296_028,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_297_029,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_298_030,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_299_031,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_300_032,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_301,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[148]) ).
cnf(i_0_302,plain,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0) ),
inference(equality_inference,[],[156]) ).
cnf(i_0_303,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| X1 = X3
| aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[159]) ).
cnf(i_0_304,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[160]) ).
cnf(i_0_305,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0)
| sbrdtbr0(X2) = X3 ),
inference(equality_inference,[],[162]) ).
cnf(i_0_306,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| X3 = X2
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[166]) ).
cnf(i_0_307,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(equality_inference,[],[167]) ).
cnf(i_0_308,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[170]) ).
cnf(i_0_309,plain,
( ~ aElementOf0(X1,X2)
| ~ isFinite0(X2)
| sdtlseqdt0(X1,szmzazxdt0(X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[171]) ).
cnf(i_0_310,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[172]) ).
cnf(i_0_311,plain,
( ~ aElementOf0(X1,X2)
| sdtlseqdt0(szmzizndt0(X2),X1)
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[179]) ).
cnf(i_0_312,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[185]) ).
cnf(i_0_313,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[186]) ).
cnf(i_0_314,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[189]) ).
cnf(i_0_315,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[203]) ).
cnf(i_0_316,plain,
( ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(equality_inference,[],[204]) ).
cnf(i_0_317,plain,
( ~ isFinite0(X1)
| aElementOf0(szmzazxdt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[211]) ).
cnf(i_0_318,plain,
( aElementOf0(szmzizndt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[214]) ).
cnf(i_0_319,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[215]) ).
cnf(i_0_320,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[216]) ).
cnf(i_0_321,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[227]) ).
cnf(i_0_322,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[238]) ).
cnf(i_0_323,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_inference,[],[246]) ).
cnf(i_0_324,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_inference,[],[248]) ).
cnf(i_0_325,plain,
aSet0(slcrc0),
inference(equality_inference,[],[255]) ).
cnf(i_0_326,plain,
~ isCountable0(slcrc0),
inference(scs_inference,[],[i_0_325,i_0_323]) ).
cnf(i_0_327,plain,
sbrdtbr0(slcrc0) = sz00,
inference(scs_inference,[],[i_0_325,i_0_324]) ).
cnf(i_0_328,plain,
aElementOf0(xy,xS),
inference(scs_inference,[],[i_0_250,i_0_230]) ).
cnf(i_0_329,plain,
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,xS) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_330,plain,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_250,i_0_265,i_0_230,i_0_238]) ).
cnf(i_0_331,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(rename_variables,[],[i_0_238]) ).
cnf(i_0_332,plain,
aSubsetOf0(esk15_0,xS),
inference(scs_inference,[],[i_0_250,i_0_231,i_0_265,i_0_230,i_0_238,i_0_183]) ).
cnf(i_0_333,plain,
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aSubsetOf0(X1,xS) ),
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_334,plain,
aSet0(esk15_0),
inference(scs_inference,[],[i_0_250,i_0_231,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199]) ).
cnf(i_0_335,plain,
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aSet0(X1) ),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_336,plain,
iLess0(xk,szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_250,i_0_253,i_0_231,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220]) ).
cnf(i_0_337,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_220]) ).
cnf(i_0_338,plain,
sdtlseqdt0(xk,szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_250,i_0_253,i_0_231,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221]) ).
cnf(i_0_339,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_221]) ).
cnf(i_0_340,plain,
sdtlseqdt0(xk,xk),
inference(scs_inference,[],[i_0_250,i_0_253,i_0_231,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223]) ).
cnf(i_0_341,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(rename_variables,[],[i_0_223]) ).
cnf(i_0_342,plain,
sdtlseqdt0(sz00,xk),
inference(scs_inference,[],[i_0_250,i_0_253,i_0_231,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229]) ).
cnf(i_0_343,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(rename_variables,[],[i_0_229]) ).
cnf(i_0_344,plain,
aSubsetOf0(xQ,xQ),
inference(scs_inference,[],[i_0_250,i_0_253,i_0_261,i_0_231,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241]) ).
cnf(i_0_345,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_241]) ).
cnf(i_0_346,plain,
aSet0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_250,i_0_253,i_0_261,i_0_231,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255]) ).
cnf(i_0_347,plain,
( X1 != slcrc0
| aSet0(X1) ),
inference(rename_variables,[],[i_0_255]) ).
cnf(i_0_348,plain,
aSet0(slbdtrb0(xk)),
inference(scs_inference,[],[i_0_250,i_0_253,i_0_261,i_0_231,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321]) ).
cnf(i_0_349,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_321]) ).
cnf(i_0_350,plain,
xk = sbrdtbr0(xQ),
inference(scs_inference,[],[i_0_250,i_0_253,i_0_261,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270]) ).
cnf(i_0_351,plain,
aElement0(xx),
inference(scs_inference,[],[i_0_251,i_0_250,i_0_253,i_0_261,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224]) ).
cnf(i_0_352,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_224]) ).
cnf(i_0_353,plain,
xQ != xT,
inference(scs_inference,[],[i_0_243,i_0_251,i_0_250,i_0_253,i_0_261,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290]) ).
cnf(i_0_354,plain,
aElementOf0(xk,slbdtrb0(szszuzczcdt0(xk))),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_250,i_0_253,i_0_261,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307]) ).
cnf(i_0_355,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(rename_variables,[],[i_0_307]) ).
cnf(i_0_356,plain,
aElementOf0(esk1_1(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk)),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_250,i_0_253,i_0_261,i_0_244,i_0_240,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235]) ).
cnf(i_0_357,plain,
( X1 = slcrc0
| aElementOf0(esk1_1(X1),X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_358,plain,
~ isFinite0(szNzAzT0),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_250,i_0_253,i_0_256,i_0_261,i_0_264,i_0_244,i_0_240,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242]) ).
cnf(i_0_359,plain,
( ~ isCountable0(X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_242]) ).
cnf(i_0_360,plain,
~ isCountable0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_250,i_0_253,i_0_256,i_0_261,i_0_264,i_0_244,i_0_240,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246]) ).
cnf(i_0_361,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_246]) ).
cnf(i_0_362,plain,
aSet0(slbdtsldtrb0(xQ,xk)),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_250,i_0_253,i_0_256,i_0_261,i_0_264,i_0_244,i_0_240,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316]) ).
cnf(i_0_363,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSet0(slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_316]) ).
cnf(i_0_364,plain,
slbdtsldtrb0(xS,xk) != slbdtrb0(sz00),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_250,i_0_253,i_0_256,i_0_261,i_0_264,i_0_244,i_0_240,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271]) ).
cnf(i_0_365,plain,
xQ != szNzAzT0,
inference(scs_inference,[],[i_0_243,i_0_251,i_0_250,i_0_253,i_0_256,i_0_257,i_0_261,i_0_264,i_0_244,i_0_240,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297]) ).
cnf(i_0_366,plain,
szNzAzT0 != slbdtrb0(sz00),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_250,i_0_253,i_0_256,i_0_257,i_0_261,i_0_264,i_0_244,i_0_240,i_0_231,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297,i_0_298]) ).
cnf(i_0_367,plain,
aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_206,i_0_250,i_0_253,i_0_256,i_0_257,i_0_261,i_0_264,i_0_244,i_0_232,i_0_240,i_0_231,i_0_239,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297,i_0_298,i_0_180]) ).
cnf(i_0_368,plain,
( ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_369,plain,
~ sdtlseqdt0(szszuzczcdt0(sz00),sz00),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_206,i_0_250,i_0_253,i_0_254,i_0_256,i_0_257,i_0_261,i_0_264,i_0_244,i_0_232,i_0_240,i_0_231,i_0_239,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297,i_0_298,i_0_180,i_0_301]) ).
cnf(i_0_370,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| aElementOf0(X1,slbdtrb0(X2)) ),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_371,plain,
sdtlseqdt0(szszuzczcdt0(xk),szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_206,i_0_250,i_0_253,i_0_254,i_0_256,i_0_257,i_0_261,i_0_264,i_0_244,i_0_232,i_0_240,i_0_231,i_0_239,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297,i_0_298,i_0_180,i_0_301,i_0_151]) ).
cnf(i_0_372,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_373,plain,
aSubsetOf0(slbdtrb0(xk),slbdtrb0(xk)),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_206,i_0_250,i_0_253,i_0_254,i_0_256,i_0_257,i_0_261,i_0_264,i_0_244,i_0_232,i_0_240,i_0_231,i_0_239,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297,i_0_298,i_0_180,i_0_301,i_0_151,i_0_152]) ).
cnf(i_0_374,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_375,plain,
sdtlseqdt0(sz00,sz00),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_206,i_0_250,i_0_253,i_0_254,i_0_256,i_0_257,i_0_261,i_0_264,i_0_244,i_0_232,i_0_240,i_0_231,i_0_239,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297,i_0_298,i_0_180,i_0_301,i_0_151,i_0_152,i_0_169]) ).
cnf(i_0_376,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X1) ),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_377,plain,
aSubsetOf0(slcrc0,xQ),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_322,i_0_206,i_0_250,i_0_253,i_0_254,i_0_256,i_0_257,i_0_261,i_0_264,i_0_325,i_0_244,i_0_232,i_0_240,i_0_231,i_0_239,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297,i_0_298,i_0_180,i_0_301,i_0_151,i_0_152,i_0_169,i_0_178]) ).
cnf(i_0_378,plain,
~ aElementOf0(X1,slcrc0),
inference(rename_variables,[],[i_0_322]) ).
cnf(i_0_379,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_380,plain,
~ aSubsetOf0(szNzAzT0,slcrc0),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_322,i_0_206,i_0_250,i_0_253,i_0_254,i_0_256,i_0_257,i_0_258,i_0_261,i_0_264,i_0_325,i_0_244,i_0_232,i_0_240,i_0_231,i_0_239,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297,i_0_298,i_0_180,i_0_301,i_0_151,i_0_152,i_0_169,i_0_178,i_0_217]) ).
cnf(i_0_381,plain,
( ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1)
| isFinite0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_217]) ).
cnf(i_0_382,plain,
aSubsetOf0(xQ,xT),
inference(scs_inference,[],[i_0_243,i_0_251,i_0_322,i_0_206,i_0_250,i_0_253,i_0_254,i_0_256,i_0_257,i_0_258,i_0_261,i_0_264,i_0_325,i_0_244,i_0_232,i_0_240,i_0_231,i_0_239,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297,i_0_298,i_0_180,i_0_301,i_0_151,i_0_152,i_0_169,i_0_178,i_0_217,i_0_181]) ).
cnf(i_0_383,plain,
( ~ aElementOf0(X1,slbdtsldtrb0(xT,xk))
| aSubsetOf0(X1,xT) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_384,plain,
$false,
inference(scs_inference,[],[i_0_243,i_0_251,i_0_322,i_0_206,i_0_250,i_0_253,i_0_254,i_0_256,i_0_257,i_0_258,i_0_261,i_0_264,i_0_325,i_0_244,i_0_232,i_0_240,i_0_231,i_0_239,i_0_267,i_0_265,i_0_230,i_0_238,i_0_183,i_0_199,i_0_220,i_0_221,i_0_223,i_0_229,i_0_241,i_0_255,i_0_321,i_0_270,i_0_224,i_0_290,i_0_307,i_0_235,i_0_242,i_0_246,i_0_316,i_0_271,i_0_297,i_0_298,i_0_180,i_0_301,i_0_151,i_0_152,i_0_169,i_0_178,i_0_217,i_0_181,i_0_153]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM552+3 : 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
% 0.14/0.32 % Computer : n008.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 00:44:13 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.41/1.61 % Version : CSE_E---1.7
% 0.41/1.61 % Problem : theBenchmark.p
% 0.41/1.61 % SZS status Theorem for theBenchmark.p
% 0.41/1.61 % SZS output start CNFRefutation
% See solution above
% 0.72/1.92 % Total time : 1.271s
%------------------------------------------------------------------------------