%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM557+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 04:57:49 PM UTC 2026
% Result : Theorem 0.32s 1.61s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 159)
% 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/sandbox/benchmark/theBenchmark.p',mCardCons) ).
fof(mDiffCons,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDiffCons) ).
fof(m__2411,hypothesis,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& aSet0(sdtmndt0(xQ,xy))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& X1 != xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2411) ).
fof(mSelNSet,axiom,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
fof(m__,conjecture,
( ( ( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xP,xS) )
& sbrdtbr0(xP) = xk )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mNoScLessZr,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(mCountNFin,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(mDefMax,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzazxdt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMax) ).
fof(mMinMin,axiom,
! [X1,X2] :
( ( aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X2,szNzAzT0)
& X1 != slcrc0
& X2 != slcrc0 )
=> ( ( aElementOf0(szmzizndt0(X1),X2)
& aElementOf0(szmzizndt0(X2),X1) )
=> szmzizndt0(X1) = szmzizndt0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMinMin) ).
fof(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegSucc) ).
fof(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(mCardSubEx,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ( ( isFinite0(X1)
& sdtlseqdt0(X2,sbrdtbr0(X1)) )
=> ? [X3] :
( aSubsetOf0(X3,X1)
& sbrdtbr0(X3) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSubEx) ).
fof(mCardDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
fof(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegLess) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(m__2357,hypothesis,
( aSet0(sdtmndt0(xQ,xy))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& X1 != xy ) )
& aSet0(xP)
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xQ,xy))
| X1 = xx ) ) )
& xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2357) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(mSelCSet,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ! [X2] :
( ( aElementOf0(X2,szNzAzT0)
& X2 != sz00 )
=> isCountable0(slbdtsldtrb0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelCSet) ).
fof(mSelFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelFSet) ).
fof(mCardSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aSubsetOf0(X2,X1) )
=> sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSub) ).
fof(mSubASymm,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(mFinSubSeg,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aSubsetOf0(X1,slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(mSuccEquSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(mCDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCDiffSet) ).
fof(mCConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCConsSet) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(mFConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(mLessRefl,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(m__2431,hypothesis,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2431) ).
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/sandbox/benchmark/theBenchmark.p',m__2270) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegFin) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(m__2338,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2338) ).
fof(m__2323,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2323) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(m__2304,hypothesis,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2304) ).
fof(m__2256,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2256) ).
fof(m__2202,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(m__2291,hypothesis,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(m__2202_02,hypothesis,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(i_0_67,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_68,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_69,hypothesis,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& aSet0(sdtmndt0(xQ,xy))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& X1 != xy ) ) ),
inference(fof_simplification,[status(thm)],[m__2411]) ).
fof(i_0_70,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
inference(fof_simplification,[status(thm)],[mSelNSet]) ).
fof(i_0_71,negated_conjecture,
~ ( ( ( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xP,xS) )
& sbrdtbr0(xP) = xk )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_72,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(i_0_73,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(i_0_74,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_75,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_76,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_77,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_78,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_79,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_80,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_81,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_82,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_83,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_84,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_85,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_86,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_87,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_88,hypothesis,
! [X246,X247,X248,X250,X251,X252,X254,X255,X256,X257] :
( aSet0(slbdtsldtrb0(xS,xk))
& ( aSet0(X246)
| ~ aElementOf0(X246,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X247,X246)
| aElementOf0(X247,xS)
| ~ aElementOf0(X246,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X246,xS)
| ~ aElementOf0(X246,slbdtsldtrb0(xS,xk)) )
& ( sbrdtbr0(X246) = xk
| ~ aElementOf0(X246,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk12_1(X248),X248)
| ~ aSet0(X248)
| sbrdtbr0(X248) != xk
| aElementOf0(X248,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk12_1(X248),xS)
| ~ aSet0(X248)
| sbrdtbr0(X248) != xk
| aElementOf0(X248,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X248,xS)
| sbrdtbr0(X248) != xk
| aElementOf0(X248,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xT,xk))
& ( aSet0(X250)
| ~ aElementOf0(X250,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X251,X250)
| aElementOf0(X251,xT)
| ~ aElementOf0(X250,slbdtsldtrb0(xT,xk)) )
& ( aSubsetOf0(X250,xT)
| ~ aElementOf0(X250,slbdtsldtrb0(xT,xk)) )
& ( sbrdtbr0(X250) = xk
| ~ aElementOf0(X250,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(esk13_1(X252),X252)
| ~ aSet0(X252)
| sbrdtbr0(X252) != xk
| aElementOf0(X252,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(esk13_1(X252),xT)
| ~ aSet0(X252)
| sbrdtbr0(X252) != xk
| aElementOf0(X252,slbdtsldtrb0(xT,xk)) )
& ( ~ aSubsetOf0(X252,xT)
| sbrdtbr0(X252) != xk
| aElementOf0(X252,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X254,slbdtsldtrb0(xS,xk))
| aElementOf0(X254,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ( aSet0(X255)
| ~ aElementOf0(X255,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X256,X255)
| aElementOf0(X256,xS)
| ~ aElementOf0(X255,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X255,xS)
| ~ aElementOf0(X255,slbdtsldtrb0(xS,xk)) )
& ( sbrdtbr0(X255) = xk
| ~ aElementOf0(X255,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk14_1(X257),X257)
| ~ aSet0(X257)
| sbrdtbr0(X257) != xk
| aElementOf0(X257,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk14_1(X257),xS)
| ~ aSet0(X257)
| sbrdtbr0(X257) != xk
| aElementOf0(X257,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X257,xS)
| sbrdtbr0(X257) != xk
| aElementOf0(X257,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_89,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_90,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_91,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_67])])]) ).
fof(i_0_92,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_93,hypothesis,
! [X261,X262] :
( aSet0(sdtmndt0(xQ,xy))
& ( aElement0(X261)
| ~ aElementOf0(X261,sdtmndt0(xQ,xy)) )
& ( aElementOf0(X261,xQ)
| ~ aElementOf0(X261,sdtmndt0(xQ,xy)) )
& ( X261 != xy
| ~ aElementOf0(X261,sdtmndt0(xQ,xy)) )
& ( ~ aElement0(X261)
| ~ aElementOf0(X261,xQ)
| X261 = xy
| aElementOf0(X261,sdtmndt0(xQ,xy)) )
& aSet0(xP)
& ( aElement0(X262)
| ~ aElementOf0(X262,xP) )
& ( aElementOf0(X262,sdtmndt0(xQ,xy))
| X262 = xx
| ~ aElementOf0(X262,xP) )
& ( ~ aElementOf0(X262,sdtmndt0(xQ,xy))
| ~ aElement0(X262)
| aElementOf0(X262,xP) )
& ( X262 != xx
| ~ aElement0(X262)
| aElementOf0(X262,xP) )
& xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2357])])])]) ).
fof(i_0_94,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_95,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_68])]) ).
fof(i_0_96,hypothesis,
! [X263] :
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& aSet0(sdtmndt0(xQ,xy))
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtmndt0(xQ,xy)) )
& ( aElementOf0(X263,xQ)
| ~ aElementOf0(X263,sdtmndt0(xQ,xy)) )
& ( X263 != xy
| ~ aElementOf0(X263,sdtmndt0(xQ,xy)) )
& ( ~ aElement0(X263)
| ~ aElementOf0(X263,xQ)
| X263 = xy
| aElementOf0(X263,sdtmndt0(xQ,xy)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])])])]) ).
fof(i_0_97,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_98,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_99,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_100,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_101,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_102,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_103,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_70])])]) ).
fof(i_0_104,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_105,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_106,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_107,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_108,negated_conjecture,
( ( aElementOf0(esk16_0,xP)
| sbrdtbr0(xP) != xk )
& ( ~ aElementOf0(esk16_0,xS)
| sbrdtbr0(xP) != xk )
& ( ~ aSubsetOf0(xP,xS)
| sbrdtbr0(xP) != xk )
& ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])])])]) ).
fof(i_0_109,plain,
! [X182] :
( ~ aElementOf0(X182,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X182),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])]) ).
fof(i_0_110,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_111,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_112,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_113,plain,
! [X194] :
( ~ aElementOf0(X194,szNzAzT0)
| iLess0(X194,szszuzczcdt0(X194)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_114,plain,
! [X185] :
( ~ aElementOf0(X185,szNzAzT0)
| sdtlseqdt0(X185,szszuzczcdt0(X185)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_115,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_116,plain,
! [X186] :
( ~ aElementOf0(X186,szNzAzT0)
| sdtlseqdt0(X186,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_117,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_118,plain,
! [X181] :
( ~ aElementOf0(X181,szNzAzT0)
| sdtlseqdt0(sz00,X181) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_119,hypothesis,
! [X264] :
( ( ~ aElementOf0(X264,xP)
| aElementOf0(X264,xS) )
& aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2431])])]) ).
fof(i_0_120,hypothesis,
! [X260] :
( aSet0(xQ)
& ( ~ aElementOf0(X260,xQ)
| aElementOf0(X260,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_121,plain,
! [X232] :
( ~ aElementOf0(X232,szNzAzT0)
| sbrdtbr0(slbdtrb0(X232)) = X232 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
fof(i_0_122,plain,
! [X225] :
( ~ aElementOf0(X225,szNzAzT0)
| isFinite0(slbdtrb0(X225)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_123,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_124,plain,
! [X180] :
( ~ aElementOf0(X180,szNzAzT0)
| X180 != szszuzczcdt0(X180) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_125,plain,
! [X143] :
( ~ aSet0(X143)
| aSubsetOf0(X143,X143) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_126,plain,
! [X134] :
( ~ aSet0(X134)
| ~ isCountable0(X134)
| ~ isFinite0(X134) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])]) ).
fof(i_0_127,hypothesis,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[m__2338]) ).
fof(i_0_128,hypothesis,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[m__2323]) ).
fof(i_0_129,plain,
! [X195] :
( ~ aSet0(X195)
| aElement0(sbrdtbr0(X195)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_130,plain,
! [X135] :
( ~ aSet0(X135)
| ~ isCountable0(X135)
| X135 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_131,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_132,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_74]),
[final] ).
cnf(i_0_133,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_75]),
[final] ).
cnf(i_0_134,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_76]),
[final] ).
cnf(i_0_135,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_76]),
[final] ).
cnf(i_0_136,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_76]),
[final] ).
cnf(i_0_137,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_75]),
[final] ).
cnf(i_0_138,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_75]),
[final] ).
cnf(i_0_139,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_74]),
[final] ).
cnf(i_0_140,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_77]),
[final] ).
cnf(i_0_141,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_74]),
[final] ).
cnf(i_0_142,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_76]),
[final] ).
cnf(i_0_143,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_74]),
[final] ).
cnf(i_0_144,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_77]),
[final] ).
cnf(i_0_145,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_78]),
[final] ).
cnf(i_0_146,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_79]),
[final] ).
cnf(i_0_147,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_80]),
[final] ).
cnf(i_0_148,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_81]),
[final] ).
cnf(i_0_149,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_82]),
[final] ).
cnf(i_0_150,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_77]),
[final] ).
cnf(i_0_151,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_83]),
[final] ).
cnf(i_0_152,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_153,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_154,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_83]),
[final] ).
cnf(i_0_155,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_79]),
[final] ).
cnf(i_0_156,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_75]),
[final] ).
cnf(i_0_157,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_158,plain,
( sdtlseqdt0(X1,X2)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_159,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_160,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_161,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_82]),
[final] ).
cnf(i_0_162,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_163,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_164,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_165,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_166,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_167,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_168,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_169,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_170,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_74]),
[final] ).
cnf(i_0_171,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_172,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_173,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_174,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(esk13_1(X1),xT)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_175,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(esk14_1(X1),xS)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_176,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(esk12_1(X1),xS)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_177,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_178,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_179,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_180,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_181,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_182,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_183,hypothesis,
( aElementOf0(X1,xP)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_184,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_185,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_186,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_187,hypothesis,
( aElementOf0(esk14_1(X1),X1)
| aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_188,hypothesis,
( aElementOf0(esk13_1(X1),X1)
| aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_189,hypothesis,
( aElementOf0(esk12_1(X1),X1)
| aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_190,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_191,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_192,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_193,hypothesis,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_194,hypothesis,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_195,hypothesis,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_196,hypothesis,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_197,hypothesis,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_198,plain,
( X2 = sz00
| isCountable0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_199,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_200,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_201,plain,
( isFinite0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_202,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_203,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_204,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_205,plain,
( aElementOf0(X1,X3)
| X1 != X2
| ~ aElement0(X1)
| X3 != sdtpldt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_206,hypothesis,
( X1 = xy
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElement0(X1)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_207,hypothesis,
( X1 = xy
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElement0(X1)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_208,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_209,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aSubsetOf0(X1,xT)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_210,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(X1,xS)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_211,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(X1,xS)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_212,plain,
( aSubsetOf0(X1,slbdtrb0(esk10_1(X1)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_213,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_214,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_215,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_216,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_217,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_218,hypothesis,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_219,hypothesis,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_220,hypothesis,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_221,hypothesis,
( X1 != xy
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_222,hypothesis,
( X1 != xy
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_223,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_224,hypothesis,
( aElementOf0(X1,sdtmndt0(xQ,xy))
| X1 = xx
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_225,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_226,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_227,hypothesis,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_228,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_229,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_230,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_231,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_232,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_233,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_234,hypothesis,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_235,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_236,plain,
( aElementOf0(esk10_1(X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_237,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_238,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_239,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_240,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_241,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_242,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_243,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_244,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_245,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_246,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_247,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_248,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_249,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_250,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_251,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_252,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_253,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_254,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_255,hypothesis,
aElementOf0(esk15_0,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_256,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_257,hypothesis,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_258,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_259,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_260,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_261,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_262,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_263,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_264,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_265,hypothesis,
aSet0(slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_266,hypothesis,
aSet0(slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_267,hypothesis,
aSet0(sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_268,hypothesis,
aSet0(sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_269,negated_conjecture,
( ~ aSubsetOf0(xP,xS)
| sbrdtbr0(xP) != xk ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_270,negated_conjecture,
( ~ aElementOf0(esk16_0,xS)
| sbrdtbr0(xP) != xk ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_271,hypothesis,
( aElementOf0(X1,xP)
| X1 != xx
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_272,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_273,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_274,hypothesis,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_275,hypothesis,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_276,hypothesis,
slbdtsldtrb0(xS,xk) != slcrc0,
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_277,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_278,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_279,negated_conjecture,
( aElementOf0(esk16_0,xP)
| sbrdtbr0(xP) != xk ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_280,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_281,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_282,hypothesis,
aSubsetOf0(xP,xS),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_283,hypothesis,
aSubsetOf0(xQ,xS),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_284,hypothesis,
aElementOf0(xy,xQ),
inference(split_conjunct,[status(thm)],[m__2304]),
[final] ).
cnf(i_0_285,hypothesis,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[m__2256]),
[final] ).
cnf(i_0_286,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__2202]),
[final] ).
cnf(i_0_287,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_288,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_289,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_290,hypothesis,
isFinite0(xQ),
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_291,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_292,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__2304]),
[final] ).
cnf(i_0_293,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_294,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_295,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_296,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_297,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_298,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_299,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]),
[final] ).
cnf(i_0_300,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_301,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_302,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_303,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_304,axiom,
X1 = X1 ).
cnf(i_0_305,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_306,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_307,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_308,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_309,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_310,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_311,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_312,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_313,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_314,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_315,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_316,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_317,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_318,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_319,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_320,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_321,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_322,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_323,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_324,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_325,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_326,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_327,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_328,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_329,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_330,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_331,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_332,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_333,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_334,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_335,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_304_001,axiom,
X1 = X1 ).
cnf(i_0_305_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_306_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_307_004,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_308_005,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_309_006,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_310_007,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_311_008,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_312_009,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_313_010,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_314_011,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_315_012,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_316_013,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_317_014,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_318_015,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_319_016,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_320_017,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_321_018,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_322_019,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_323_020,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_324_021,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_325_022,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_326_023,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_327_024,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_328_025,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_329_026,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_330_027,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_331_028,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_332_029,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_333_030,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_334_031,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_335_032,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_336,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[159]) ).
cnf(i_0_337,plain,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0) ),
inference(equality_inference,[],[167]) ).
cnf(i_0_338,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| X1 = X3
| aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[170]) ).
cnf(i_0_339,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[171]) ).
cnf(i_0_340,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0)
| sbrdtbr0(X2) = X3 ),
inference(equality_inference,[],[173]) ).
cnf(i_0_341,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| X3 = X2
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[177]) ).
cnf(i_0_342,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(equality_inference,[],[178]) ).
cnf(i_0_343,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[181]) ).
cnf(i_0_344,plain,
( ~ aElementOf0(X1,X2)
| ~ isFinite0(X2)
| sdtlseqdt0(X1,szmzazxdt0(X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[182]) ).
cnf(i_0_345,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[184]) ).
cnf(i_0_346,plain,
( ~ aElementOf0(X1,X2)
| sdtlseqdt0(szmzizndt0(X2),X1)
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[191]) ).
cnf(i_0_347,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[199]) ).
cnf(i_0_348,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[200]) ).
cnf(i_0_349,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[203]) ).
cnf(i_0_350,plain,
~ aElementOf0(xy,sdtmndt0(xQ,xy)),
inference(equality_inference,[],[222]) ).
cnf(i_0_351,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[223]) ).
cnf(i_0_352,plain,
( ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(equality_inference,[],[225]) ).
cnf(i_0_353,plain,
( ~ isFinite0(X1)
| aElementOf0(szmzazxdt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[232]) ).
cnf(i_0_354,plain,
( aElementOf0(szmzizndt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[237]) ).
cnf(i_0_355,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[238]) ).
cnf(i_0_356,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[239]) ).
cnf(i_0_357,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[250]) ).
cnf(i_0_358,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[263]) ).
cnf(i_0_359,plain,
( ~ aElement0(xx)
| aElementOf0(xx,xP) ),
inference(equality_inference,[],[271]) ).
cnf(i_0_360,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_inference,[],[278]) ).
cnf(i_0_361,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_inference,[],[281]) ).
cnf(i_0_362,plain,
aSet0(slcrc0),
inference(equality_inference,[],[288]) ).
cnf(i_0_363,plain,
$false,
inference(scs_inference,[],[i_0_233,i_0_282,i_0_300,i_0_211]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM557+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n011.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:44:17 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 0.32/1.61 % Version : CSE_E---1.7
% 0.32/1.61 % Problem : theBenchmark.p
% 0.32/1.61 % SZS status Theorem for theBenchmark.p
% 0.32/1.61 % SZS output start CNFRefutation
% See solution above
% 0.32/1.65 % Total time : 1.272s
%------------------------------------------------------------------------------