%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM558+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 : n017.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 0.30s 1.75s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 163)
% 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(mSelNSet,axiom,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
fof(mNoScLessZr,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(mCountNFin,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(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__2378,hypothesis,
( ! [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__2378) ).
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(m__,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
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_66,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_67,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_68,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
inference(fof_simplification,[status(thm)],[mSelNSet]) ).
fof(i_0_69,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(i_0_70,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(i_0_71,plain,
! [X154,X155,X156,X157,X158,X159] :
( ( aSet0(X156)
| X156 != sdtmndt0(X154,X155)
| ~ aSet0(X154)
| ~ aElement0(X155) )
& ( aElement0(X157)
| ~ aElementOf0(X157,X156)
| X156 != sdtmndt0(X154,X155)
| ~ aSet0(X154)
| ~ aElement0(X155) )
& ( aElementOf0(X157,X154)
| ~ aElementOf0(X157,X156)
| X156 != sdtmndt0(X154,X155)
| ~ aSet0(X154)
| ~ aElement0(X155) )
& ( X157 != X155
| ~ aElementOf0(X157,X156)
| X156 != sdtmndt0(X154,X155)
| ~ aSet0(X154)
| ~ aElement0(X155) )
& ( ~ aElement0(X158)
| ~ aElementOf0(X158,X154)
| X158 = X155
| aElementOf0(X158,X156)
| X156 != sdtmndt0(X154,X155)
| ~ aSet0(X154)
| ~ aElement0(X155) )
& ( ~ aElementOf0(esk4_3(X154,X155,X159),X159)
| ~ aElement0(esk4_3(X154,X155,X159))
| ~ aElementOf0(esk4_3(X154,X155,X159),X154)
| esk4_3(X154,X155,X159) = X155
| ~ aSet0(X159)
| X159 = sdtmndt0(X154,X155)
| ~ aSet0(X154)
| ~ aElement0(X155) )
& ( aElement0(esk4_3(X154,X155,X159))
| aElementOf0(esk4_3(X154,X155,X159),X159)
| ~ aSet0(X159)
| X159 = sdtmndt0(X154,X155)
| ~ aSet0(X154)
| ~ aElement0(X155) )
& ( aElementOf0(esk4_3(X154,X155,X159),X154)
| aElementOf0(esk4_3(X154,X155,X159),X159)
| ~ aSet0(X159)
| X159 = sdtmndt0(X154,X155)
| ~ aSet0(X154)
| ~ aElement0(X155) )
& ( esk4_3(X154,X155,X159) != X155
| aElementOf0(esk4_3(X154,X155,X159),X159)
| ~ aSet0(X159)
| X159 = sdtmndt0(X154,X155)
| ~ aSet0(X154)
| ~ aElement0(X155) ) ),
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_72,plain,
! [X231,X232,X233,X234,X235,X236] :
( ( aSet0(X233)
| X233 != slbdtsldtrb0(X231,X232)
| ~ aSet0(X231)
| ~ aElementOf0(X232,szNzAzT0) )
& ( aSubsetOf0(X234,X231)
| ~ aElementOf0(X234,X233)
| X233 != slbdtsldtrb0(X231,X232)
| ~ aSet0(X231)
| ~ aElementOf0(X232,szNzAzT0) )
& ( sbrdtbr0(X234) = X232
| ~ aElementOf0(X234,X233)
| X233 != slbdtsldtrb0(X231,X232)
| ~ aSet0(X231)
| ~ aElementOf0(X232,szNzAzT0) )
& ( ~ aSubsetOf0(X235,X231)
| sbrdtbr0(X235) != X232
| aElementOf0(X235,X233)
| X233 != slbdtsldtrb0(X231,X232)
| ~ aSet0(X231)
| ~ aElementOf0(X232,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X231,X232,X236),X236)
| ~ aSubsetOf0(esk11_3(X231,X232,X236),X231)
| sbrdtbr0(esk11_3(X231,X232,X236)) != X232
| ~ aSet0(X236)
| X236 = slbdtsldtrb0(X231,X232)
| ~ aSet0(X231)
| ~ aElementOf0(X232,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X231,X232,X236),X231)
| aElementOf0(esk11_3(X231,X232,X236),X236)
| ~ aSet0(X236)
| X236 = slbdtsldtrb0(X231,X232)
| ~ aSet0(X231)
| ~ aElementOf0(X232,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X231,X232,X236)) = X232
| aElementOf0(esk11_3(X231,X232,X236),X236)
| ~ aSet0(X236)
| X236 = slbdtsldtrb0(X231,X232)
| ~ aSet0(X231)
| ~ aElementOf0(X232,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_73,plain,
! [X147,X148,X149,X150,X151,X152] :
( ( aSet0(X149)
| X149 != sdtpldt0(X147,X148)
| ~ aSet0(X147)
| ~ aElement0(X148) )
& ( aElement0(X150)
| ~ aElementOf0(X150,X149)
| X149 != sdtpldt0(X147,X148)
| ~ aSet0(X147)
| ~ aElement0(X148) )
& ( aElementOf0(X150,X147)
| X150 = X148
| ~ aElementOf0(X150,X149)
| X149 != sdtpldt0(X147,X148)
| ~ aSet0(X147)
| ~ aElement0(X148) )
& ( ~ aElementOf0(X151,X147)
| ~ aElement0(X151)
| aElementOf0(X151,X149)
| X149 != sdtpldt0(X147,X148)
| ~ aSet0(X147)
| ~ aElement0(X148) )
& ( X151 != X148
| ~ aElement0(X151)
| aElementOf0(X151,X149)
| X149 != sdtpldt0(X147,X148)
| ~ aSet0(X147)
| ~ aElement0(X148) )
& ( ~ aElementOf0(esk3_3(X147,X148,X152),X147)
| ~ aElement0(esk3_3(X147,X148,X152))
| ~ aElementOf0(esk3_3(X147,X148,X152),X152)
| ~ aSet0(X152)
| X152 = sdtpldt0(X147,X148)
| ~ aSet0(X147)
| ~ aElement0(X148) )
& ( esk3_3(X147,X148,X152) != X148
| ~ aElement0(esk3_3(X147,X148,X152))
| ~ aElementOf0(esk3_3(X147,X148,X152),X152)
| ~ aSet0(X152)
| X152 = sdtpldt0(X147,X148)
| ~ aSet0(X147)
| ~ aElement0(X148) )
& ( aElement0(esk3_3(X147,X148,X152))
| aElementOf0(esk3_3(X147,X148,X152),X152)
| ~ aSet0(X152)
| X152 = sdtpldt0(X147,X148)
| ~ aSet0(X147)
| ~ aElement0(X148) )
& ( aElementOf0(esk3_3(X147,X148,X152),X147)
| esk3_3(X147,X148,X152) = X148
| aElementOf0(esk3_3(X147,X148,X152),X152)
| ~ aSet0(X152)
| X152 = sdtpldt0(X147,X148)
| ~ aSet0(X147)
| ~ aElement0(X148) ) ),
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_74,plain,
! [X217,X218,X219,X220,X221] :
( ( aSet0(X218)
| X218 != slbdtrb0(X217)
| ~ aElementOf0(X217,szNzAzT0) )
& ( aElementOf0(X219,szNzAzT0)
| ~ aElementOf0(X219,X218)
| X218 != slbdtrb0(X217)
| ~ aElementOf0(X217,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X219),X217)
| ~ aElementOf0(X219,X218)
| X218 != slbdtrb0(X217)
| ~ aElementOf0(X217,szNzAzT0) )
& ( ~ aElementOf0(X220,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X220),X217)
| aElementOf0(X220,X218)
| X218 != slbdtrb0(X217)
| ~ aElementOf0(X217,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X217,X221),X221)
| ~ aElementOf0(esk9_2(X217,X221),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X217,X221)),X217)
| ~ aSet0(X221)
| X221 = slbdtrb0(X217)
| ~ aElementOf0(X217,szNzAzT0) )
& ( aElementOf0(esk9_2(X217,X221),szNzAzT0)
| aElementOf0(esk9_2(X217,X221),X221)
| ~ aSet0(X221)
| X221 = slbdtrb0(X217)
| ~ aElementOf0(X217,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X217,X221)),X217)
| aElementOf0(esk9_2(X217,X221),X221)
| ~ aSet0(X221)
| X221 = slbdtrb0(X217)
| ~ aElementOf0(X217,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_75,plain,
! [X187,X188,X189] :
( ~ aElementOf0(X187,szNzAzT0)
| ~ aElementOf0(X188,szNzAzT0)
| ~ aElementOf0(X189,szNzAzT0)
| ~ sdtlseqdt0(X187,X188)
| ~ sdtlseqdt0(X188,X189)
| sdtlseqdt0(X187,X189) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(i_0_76,plain,
! [X210,X211,X212,X213] :
( ( aElementOf0(X211,X210)
| X211 != szmzazxdt0(X210)
| ~ aSubsetOf0(X210,szNzAzT0)
| ~ isFinite0(X210)
| X210 = slcrc0 )
& ( ~ aElementOf0(X212,X210)
| sdtlseqdt0(X212,X211)
| X211 != szmzazxdt0(X210)
| ~ aSubsetOf0(X210,szNzAzT0)
| ~ isFinite0(X210)
| X210 = slcrc0 )
& ( aElementOf0(esk8_2(X210,X213),X210)
| ~ aElementOf0(X213,X210)
| X213 = szmzazxdt0(X210)
| ~ aSubsetOf0(X210,szNzAzT0)
| ~ isFinite0(X210)
| X210 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X210,X213),X213)
| ~ aElementOf0(X213,X210)
| X213 = szmzazxdt0(X210)
| ~ aSubsetOf0(X210,szNzAzT0)
| ~ isFinite0(X210)
| X210 = 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_77,plain,
! [X215,X216] :
( ~ aSubsetOf0(X215,szNzAzT0)
| ~ aSubsetOf0(X216,szNzAzT0)
| X215 = slcrc0
| X216 = slcrc0
| ~ aElementOf0(szmzizndt0(X215),X216)
| ~ aElementOf0(szmzizndt0(X216),X215)
| szmzizndt0(X215) = szmzizndt0(X216) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMinMin])]) ).
fof(i_0_78,plain,
! [X224,X225] :
( ( ~ aElementOf0(X224,slbdtrb0(szszuzczcdt0(X225)))
| aElementOf0(X224,slbdtrb0(X225))
| X224 = X225
| ~ aElementOf0(X224,szNzAzT0)
| ~ aElementOf0(X225,szNzAzT0) )
& ( ~ aElementOf0(X224,slbdtrb0(X225))
| aElementOf0(X224,slbdtrb0(szszuzczcdt0(X225)))
| ~ aElementOf0(X224,szNzAzT0)
| ~ aElementOf0(X225,szNzAzT0) )
& ( X224 != X225
| aElementOf0(X224,slbdtrb0(szszuzczcdt0(X225)))
| ~ aElementOf0(X224,szNzAzT0)
| ~ aElementOf0(X225,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
fof(i_0_79,plain,
! [X205,X206,X207,X208] :
( ( aElementOf0(X206,X205)
| X206 != szmzizndt0(X205)
| ~ aSubsetOf0(X205,szNzAzT0)
| X205 = slcrc0 )
& ( ~ aElementOf0(X207,X205)
| sdtlseqdt0(X206,X207)
| X206 != szmzizndt0(X205)
| ~ aSubsetOf0(X205,szNzAzT0)
| X205 = slcrc0 )
& ( aElementOf0(esk7_2(X205,X208),X205)
| ~ aElementOf0(X208,X205)
| X208 = szmzizndt0(X205)
| ~ aSubsetOf0(X205,szNzAzT0)
| X205 = slcrc0 )
& ( ~ sdtlseqdt0(X208,esk7_2(X205,X208))
| ~ aElementOf0(X208,X205)
| X208 = szmzizndt0(X205)
| ~ aSubsetOf0(X205,szNzAzT0)
| X205 = 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_80,plain,
! [X202,X203] :
( ( aSubsetOf0(esk6_2(X202,X203),X202)
| ~ isFinite0(X202)
| ~ sdtlseqdt0(X203,sbrdtbr0(X202))
| ~ aSet0(X202)
| ~ aElementOf0(X203,szNzAzT0) )
& ( sbrdtbr0(esk6_2(X202,X203)) = X203
| ~ isFinite0(X202)
| ~ sdtlseqdt0(X203,sbrdtbr0(X202))
| ~ aSet0(X202)
| ~ aElementOf0(X203,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])]) ).
fof(i_0_81,plain,
! [X198,X199] :
( ~ aSet0(X198)
| ~ isFinite0(X198)
| ~ aElementOf0(X199,X198)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X198,X199))) = sbrdtbr0(X198) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])]) ).
fof(i_0_82,plain,
! [X181,X182] :
( ( ~ sdtlseqdt0(X181,X182)
| sdtlseqdt0(szszuzczcdt0(X181),szszuzczcdt0(X182))
| ~ aElementOf0(X181,szNzAzT0)
| ~ aElementOf0(X182,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X181),szszuzczcdt0(X182))
| sdtlseqdt0(X181,X182)
| ~ aElementOf0(X181,szNzAzT0)
| ~ aElementOf0(X182,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(i_0_83,plain,
! [X226,X227] :
( ( ~ sdtlseqdt0(X226,X227)
| aSubsetOf0(slbdtrb0(X226),slbdtrb0(X227))
| ~ aElementOf0(X226,szNzAzT0)
| ~ aElementOf0(X227,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X226),slbdtrb0(X227))
| sdtlseqdt0(X226,X227)
| ~ aElementOf0(X226,szNzAzT0)
| ~ aElementOf0(X227,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
fof(i_0_84,plain,
! [X134,X135,X136,X137] :
( ( aSet0(X135)
| ~ aSubsetOf0(X135,X134)
| ~ aSet0(X134) )
& ( ~ aElementOf0(X136,X135)
| aElementOf0(X136,X134)
| ~ aSubsetOf0(X135,X134)
| ~ aSet0(X134) )
& ( aElementOf0(esk2_2(X134,X137),X137)
| ~ aSet0(X137)
| aSubsetOf0(X137,X134)
| ~ aSet0(X134) )
& ( ~ aElementOf0(esk2_2(X134,X137),X134)
| ~ aSet0(X137)
| aSubsetOf0(X137,X134)
| ~ aSet0(X134) ) ),
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_85,hypothesis,
! [X244,X245,X246,X248,X249,X250,X252,X253,X254,X255] :
( aSet0(slbdtsldtrb0(xS,xk))
& ( aSet0(X244)
| ~ aElementOf0(X244,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X245,X244)
| aElementOf0(X245,xS)
| ~ aElementOf0(X244,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X244,xS)
| ~ aElementOf0(X244,slbdtsldtrb0(xS,xk)) )
& ( sbrdtbr0(X244) = xk
| ~ aElementOf0(X244,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk12_1(X246),X246)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| aElementOf0(X246,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk12_1(X246),xS)
| ~ aSet0(X246)
| sbrdtbr0(X246) != xk
| aElementOf0(X246,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X246,xS)
| sbrdtbr0(X246) != xk
| aElementOf0(X246,slbdtsldtrb0(xS,xk)) )
& aSet0(slbdtsldtrb0(xT,xk))
& ( aSet0(X248)
| ~ aElementOf0(X248,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X249,X248)
| aElementOf0(X249,xT)
| ~ aElementOf0(X248,slbdtsldtrb0(xT,xk)) )
& ( aSubsetOf0(X248,xT)
| ~ aElementOf0(X248,slbdtsldtrb0(xT,xk)) )
& ( sbrdtbr0(X248) = xk
| ~ aElementOf0(X248,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(esk13_1(X250),X250)
| ~ aSet0(X250)
| sbrdtbr0(X250) != xk
| aElementOf0(X250,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(esk13_1(X250),xT)
| ~ aSet0(X250)
| sbrdtbr0(X250) != xk
| aElementOf0(X250,slbdtsldtrb0(xT,xk)) )
& ( ~ aSubsetOf0(X250,xT)
| sbrdtbr0(X250) != xk
| aElementOf0(X250,slbdtsldtrb0(xT,xk)) )
& ( ~ aElementOf0(X252,slbdtsldtrb0(xS,xk))
| aElementOf0(X252,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ( aSet0(X253)
| ~ aElementOf0(X253,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(X254,X253)
| aElementOf0(X254,xS)
| ~ aElementOf0(X253,slbdtsldtrb0(xS,xk)) )
& ( aSubsetOf0(X253,xS)
| ~ aElementOf0(X253,slbdtsldtrb0(xS,xk)) )
& ( sbrdtbr0(X253) = xk
| ~ aElementOf0(X253,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(esk14_1(X255),X255)
| ~ aSet0(X255)
| sbrdtbr0(X255) != xk
| aElementOf0(X255,slbdtsldtrb0(xS,xk)) )
& ( ~ aElementOf0(esk14_1(X255),xS)
| ~ aSet0(X255)
| sbrdtbr0(X255) != xk
| aElementOf0(X255,slbdtsldtrb0(xS,xk)) )
& ( ~ aSubsetOf0(X255,xS)
| sbrdtbr0(X255) != xk
| aElementOf0(X255,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_86,plain,
! [X185,X186] :
( ~ aElementOf0(X185,szNzAzT0)
| ~ aElementOf0(X186,szNzAzT0)
| ~ sdtlseqdt0(X185,X186)
| ~ sdtlseqdt0(X186,X185)
| X185 = X186 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(i_0_87,plain,
! [X144,X145,X146] :
( ~ aSet0(X144)
| ~ aSet0(X145)
| ~ aSet0(X146)
| ~ aSubsetOf0(X144,X145)
| ~ aSubsetOf0(X145,X146)
| aSubsetOf0(X144,X146) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(i_0_88,plain,
! [X196,X197] :
( ~ aSet0(X196)
| ~ isFinite0(X196)
| ~ aElement0(X197)
| aElementOf0(X197,X196)
| sbrdtbr0(sdtpldt0(X196,X197)) = szszuzczcdt0(sbrdtbr0(X196)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])])]) ).
fof(i_0_89,plain,
! [X190,X191] :
( ~ aElementOf0(X190,szNzAzT0)
| ~ aElementOf0(X191,szNzAzT0)
| sdtlseqdt0(X190,X191)
| sdtlseqdt0(szszuzczcdt0(X191),X190) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(i_0_90,hypothesis,
! [X259,X260] :
( aSet0(sdtmndt0(xQ,xy))
& ( aElement0(X259)
| ~ aElementOf0(X259,sdtmndt0(xQ,xy)) )
& ( aElementOf0(X259,xQ)
| ~ aElementOf0(X259,sdtmndt0(xQ,xy)) )
& ( X259 != xy
| ~ aElementOf0(X259,sdtmndt0(xQ,xy)) )
& ( ~ aElement0(X259)
| ~ aElementOf0(X259,xQ)
| X259 = xy
| aElementOf0(X259,sdtmndt0(xQ,xy)) )
& aSet0(xP)
& ( aElement0(X260)
| ~ aElementOf0(X260,xP) )
& ( aElementOf0(X260,sdtmndt0(xQ,xy))
| X260 = xx
| ~ aElementOf0(X260,xP) )
& ( ~ aElementOf0(X260,sdtmndt0(xQ,xy))
| ~ aElement0(X260)
| aElementOf0(X260,xP) )
& ( X260 != xx
| ~ aElement0(X260)
| aElementOf0(X260,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_91,plain,
! [X161,X162] :
( ~ aSet0(X161)
| ~ aElementOf0(X162,X161)
| sdtpldt0(sdtmndt0(X161,X162),X162) = X161 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
fof(i_0_92,plain,
! [X163,X164] :
( ~ aElement0(X163)
| ~ aSet0(X164)
| aElementOf0(X163,X164)
| sdtmndt0(sdtpldt0(X164,X163),X163) = X164 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])]) ).
fof(i_0_93,plain,
! [X242,X243] :
( ~ aSet0(X242)
| ~ isCountable0(X242)
| ~ aElementOf0(X243,szNzAzT0)
| X243 = sz00
| isCountable0(slbdtsldtrb0(X242,X243)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelCSet])])]) ).
fof(i_0_94,plain,
! [X238,X239] :
( ~ aSet0(X238)
| ~ isFinite0(X238)
| ~ aElementOf0(X239,szNzAzT0)
| isFinite0(slbdtsldtrb0(X238,X239)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelFSet])])]) ).
fof(i_0_95,plain,
! [X200,X201] :
( ~ aSet0(X200)
| ~ isFinite0(X200)
| ~ aSubsetOf0(X201,X200)
| sdtlseqdt0(sbrdtbr0(X201),sbrdtbr0(X200)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
fof(i_0_96,plain,
! [X142,X143] :
( ~ aSet0(X142)
| ~ aSet0(X143)
| ~ aSubsetOf0(X142,X143)
| ~ aSubsetOf0(X143,X142)
| X142 = X143 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
fof(i_0_97,plain,
! [X228] :
( ( aElementOf0(esk10_1(X228),szNzAzT0)
| ~ aSubsetOf0(X228,szNzAzT0)
| ~ isFinite0(X228) )
& ( aSubsetOf0(X228,slbdtrb0(esk10_1(X228)))
| ~ aSubsetOf0(X228,szNzAzT0)
| ~ isFinite0(X228) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFinSubSeg])])])]) ).
fof(i_0_98,plain,
! [X174,X175] :
( ~ aElementOf0(X174,szNzAzT0)
| ~ aElementOf0(X175,szNzAzT0)
| szszuzczcdt0(X174) != szszuzczcdt0(X175)
| X174 = X175 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(i_0_99,plain,
! [X240,X241] :
( ~ aSet0(X240)
| isFinite0(X240)
| ~ aElementOf0(X241,szNzAzT0)
| slbdtsldtrb0(X240,X241) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])])]) ).
fof(i_0_100,plain,
! [X167,X168] :
( ~ aElement0(X167)
| ~ aSet0(X168)
| ~ isCountable0(X168)
| isCountable0(sdtmndt0(X168,X167)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])]) ).
fof(i_0_101,plain,
! [X165,X166] :
( ~ aElement0(X165)
| ~ aSet0(X166)
| ~ isCountable0(X166)
| isCountable0(sdtpldt0(X166,X165)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])]) ).
fof(i_0_102,plain,
! [X171,X172] :
( ~ aElement0(X171)
| ~ aSet0(X172)
| ~ isFinite0(X172)
| isFinite0(sdtmndt0(X172,X171)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
fof(i_0_103,plain,
! [X169,X170] :
( ~ aElement0(X169)
| ~ aSet0(X170)
| ~ isFinite0(X170)
| isFinite0(sdtpldt0(X170,X169)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])]) ).
fof(i_0_104,plain,
! [X180] :
( ~ aElementOf0(X180,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X180),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])]) ).
fof(i_0_105,plain,
! [X139,X140] :
( ~ aSet0(X139)
| ~ isFinite0(X139)
| ~ aSubsetOf0(X140,X139)
| isFinite0(X140) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
fof(i_0_106,plain,
! [X194] :
( ( ~ aElementOf0(sbrdtbr0(X194),szNzAzT0)
| isFinite0(X194)
| ~ aSet0(X194) )
& ( ~ isFinite0(X194)
| aElementOf0(sbrdtbr0(X194),szNzAzT0)
| ~ aSet0(X194) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(i_0_107,plain,
! [X176] :
( ( aElementOf0(esk5_1(X176),szNzAzT0)
| X176 = sz00
| ~ aElementOf0(X176,szNzAzT0) )
& ( X176 = szszuzczcdt0(esk5_1(X176))
| X176 = sz00
| ~ aElementOf0(X176,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
fof(i_0_108,plain,
! [X192] :
( ~ aElementOf0(X192,szNzAzT0)
| iLess0(X192,szszuzczcdt0(X192)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_109,plain,
! [X183] :
( ~ aElementOf0(X183,szNzAzT0)
| sdtlseqdt0(X183,szszuzczcdt0(X183)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_110,plain,
! [X173] :
( ( aElementOf0(szszuzczcdt0(X173),szNzAzT0)
| ~ aElementOf0(X173,szNzAzT0) )
& ( szszuzczcdt0(X173) != sz00
| ~ aElementOf0(X173,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(i_0_111,plain,
! [X184] :
( ~ aElementOf0(X184,szNzAzT0)
| sdtlseqdt0(X184,X184) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_112,plain,
! [X126,X127] :
( ~ aSet0(X126)
| ~ aElementOf0(X127,X126)
| aElement0(X127) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_113,plain,
! [X179] :
( ~ aElementOf0(X179,szNzAzT0)
| sdtlseqdt0(sz00,X179) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_114,hypothesis,
! [X261] :
( ( ~ aElementOf0(X261,xP)
| aElementOf0(X261,xS) )
& aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk
& aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2378])])]) ).
fof(i_0_115,hypothesis,
! [X258] :
( aSet0(xQ)
& ( ~ aElementOf0(X258,xQ)
| aElementOf0(X258,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_116,plain,
! [X230] :
( ~ aElementOf0(X230,szNzAzT0)
| sbrdtbr0(slbdtrb0(X230)) = X230 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
fof(i_0_117,plain,
! [X223] :
( ~ aElementOf0(X223,szNzAzT0)
| isFinite0(slbdtrb0(X223)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_118,plain,
! [X128,X129,X130] :
( ( aSet0(X128)
| X128 != slcrc0 )
& ( ~ aElementOf0(X129,X128)
| X128 != slcrc0 )
& ( ~ aSet0(X130)
| aElementOf0(esk1_1(X130),X130)
| X130 = 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_119,plain,
! [X178] :
( ~ aElementOf0(X178,szNzAzT0)
| X178 != szszuzczcdt0(X178) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_120,plain,
! [X141] :
( ~ aSet0(X141)
| aSubsetOf0(X141,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_121,plain,
! [X132] :
( ~ aSet0(X132)
| ~ isCountable0(X132)
| ~ isFinite0(X132) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_70])]) ).
fof(i_0_122,hypothesis,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[m__2338]) ).
fof(i_0_123,hypothesis,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[m__2323]) ).
fof(i_0_124,negated_conjecture,
~ aElementOf0(xx,xT),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(i_0_125,plain,
! [X193] :
( ~ aSet0(X193)
| aElement0(sbrdtbr0(X193)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_126,plain,
! [X133] :
( ~ aSet0(X133)
| ~ isCountable0(X133)
| X133 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_127,plain,
! [X195] :
( ( sbrdtbr0(X195) != sz00
| X195 = slcrc0
| ~ aSet0(X195) )
& ( X195 != slcrc0
| sbrdtbr0(X195) = sz00
| ~ aSet0(X195) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
cnf(i_0_128,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_71]),
[final] ).
cnf(i_0_129,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_72]),
[final] ).
cnf(i_0_130,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_73]),
[final] ).
cnf(i_0_131,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_73]),
[final] ).
cnf(i_0_132,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_73]),
[final] ).
cnf(i_0_133,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_72]),
[final] ).
cnf(i_0_134,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_72]),
[final] ).
cnf(i_0_135,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_71]),
[final] ).
cnf(i_0_136,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_74]),
[final] ).
cnf(i_0_137,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_71]),
[final] ).
cnf(i_0_138,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_73]),
[final] ).
cnf(i_0_139,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_71]),
[final] ).
cnf(i_0_140,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_74]),
[final] ).
cnf(i_0_141,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_75]),
[final] ).
cnf(i_0_142,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_76]),
[final] ).
cnf(i_0_143,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_77]),
[final] ).
cnf(i_0_144,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_78]),
[final] ).
cnf(i_0_145,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_79]),
[final] ).
cnf(i_0_146,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_74]),
[final] ).
cnf(i_0_147,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_80]),
[final] ).
cnf(i_0_148,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_149,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_150,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_80]),
[final] ).
cnf(i_0_151,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_76]),
[final] ).
cnf(i_0_152,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_72]),
[final] ).
cnf(i_0_153,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_154,plain,
( sdtlseqdt0(X1,X2)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_155,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_156,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_157,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_79]),
[final] ).
cnf(i_0_158,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_159,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_160,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_161,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_162,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_163,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_164,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_165,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_166,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_71]),
[final] ).
cnf(i_0_167,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_168,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_169,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_170,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(esk13_1(X1),xT)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_171,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(esk14_1(X1),xS)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_172,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(esk12_1(X1),xS)
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_173,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_174,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_175,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_176,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_177,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_178,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_179,hypothesis,
( aElementOf0(X1,xP)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_180,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_181,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_182,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_183,hypothesis,
( aElementOf0(esk14_1(X1),X1)
| aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_184,hypothesis,
( aElementOf0(esk13_1(X1),X1)
| aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_185,hypothesis,
( aElementOf0(esk12_1(X1),X1)
| aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSet0(X1)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_186,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_187,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_188,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_189,hypothesis,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_190,hypothesis,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_191,hypothesis,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_192,hypothesis,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_193,plain,
( X2 = sz00
| isCountable0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_194,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_195,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_196,plain,
( isFinite0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_197,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_198,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_199,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_200,plain,
( aElementOf0(X1,X3)
| X1 != X2
| ~ aElement0(X1)
| X3 != sdtpldt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_201,hypothesis,
( X1 = xy
| aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElement0(X1)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_202,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_203,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aSubsetOf0(X1,xT)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_204,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(X1,xS)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_205,hypothesis,
( aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(X1,xS)
| sbrdtbr0(X1) != xk ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_206,plain,
( aSubsetOf0(X1,slbdtrb0(esk10_1(X1)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_207,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_208,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_209,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_210,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_211,hypothesis,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xT,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_212,hypothesis,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_213,hypothesis,
( sbrdtbr0(X1) = xk
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_214,hypothesis,
( X1 != xy
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_215,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_216,hypothesis,
( aElementOf0(X1,sdtmndt0(xQ,xy))
| X1 = xx
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_217,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_218,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_219,hypothesis,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_220,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_221,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_222,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_223,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_224,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_225,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_226,plain,
( aElementOf0(esk10_1(X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_227,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_228,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_229,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_230,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_231,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_232,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_233,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_234,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_235,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_236,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_237,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_238,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_239,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_240,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_241,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_242,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_243,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_244,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_245,hypothesis,
aElementOf0(esk15_0,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_246,hypothesis,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_247,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_248,hypothesis,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_249,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_250,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_251,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_252,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_253,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_254,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_255,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_256,hypothesis,
aSet0(slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_257,hypothesis,
aSet0(slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_258,hypothesis,
aSet0(sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_259,hypothesis,
( aElementOf0(X1,xP)
| X1 != xx
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_260,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_261,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_262,hypothesis,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_263,hypothesis,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_264,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_265,hypothesis,
slbdtsldtrb0(xS,xk) != slcrc0,
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_266,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_267,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_268,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_269,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_270,hypothesis,
aSubsetOf0(xP,xS),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_271,hypothesis,
aSubsetOf0(xQ,xS),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_272,hypothesis,
aElementOf0(xy,xQ),
inference(split_conjunct,[status(thm)],[m__2304]),
[final] ).
cnf(i_0_273,hypothesis,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[m__2256]),
[final] ).
cnf(i_0_274,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__2202]),
[final] ).
cnf(i_0_275,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_276,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_277,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_278,hypothesis,
isFinite0(xQ),
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_279,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_280,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__2304]),
[final] ).
cnf(i_0_281,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_282,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_283,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_284,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_285,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_286,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_287,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]),
[final] ).
cnf(i_0_288,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_289,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_290,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_291,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_292,axiom,
X1 = X1 ).
cnf(i_0_293,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_294,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_295,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_296,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_297,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_298,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_299,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_300,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_301,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_302,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_303,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_304,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_305,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_306,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_307,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_308,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_309,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_310,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_311,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_312,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_313,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_314,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_315,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_316,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_317,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_318,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_319,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_320,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_321,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_322,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_323,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_292_001,axiom,
X1 = X1 ).
cnf(i_0_293_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_294_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_295_004,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_296_005,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_297_006,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_298_007,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_299_008,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_300_009,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_301_010,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_302_011,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_303_012,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_304_013,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_305_014,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_306_015,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_307_016,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_308_017,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_309_018,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_310_019,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_311_020,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_312_021,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_313_022,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_314_023,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_315_024,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_316_025,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_317_026,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_318_027,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_319_028,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_320_029,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_321_030,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_322_031,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_323_032,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_324,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[155]) ).
cnf(i_0_325,plain,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0) ),
inference(equality_inference,[],[163]) ).
cnf(i_0_326,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| X1 = X3
| aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[166]) ).
cnf(i_0_327,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[167]) ).
cnf(i_0_328,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0)
| sbrdtbr0(X2) = X3 ),
inference(equality_inference,[],[169]) ).
cnf(i_0_329,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| X3 = X2
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[173]) ).
cnf(i_0_330,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(equality_inference,[],[174]) ).
cnf(i_0_331,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[177]) ).
cnf(i_0_332,plain,
( ~ aElementOf0(X1,X2)
| ~ isFinite0(X2)
| sdtlseqdt0(X1,szmzazxdt0(X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[178]) ).
cnf(i_0_333,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[180]) ).
cnf(i_0_334,plain,
( ~ aElementOf0(X1,X2)
| sdtlseqdt0(szmzizndt0(X2),X1)
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[187]) ).
cnf(i_0_335,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[194]) ).
cnf(i_0_336,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[195]) ).
cnf(i_0_337,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[198]) ).
cnf(i_0_338,plain,
~ aElementOf0(xy,sdtmndt0(xQ,xy)),
inference(equality_inference,[],[214]) ).
cnf(i_0_339,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[215]) ).
cnf(i_0_340,plain,
( ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(equality_inference,[],[217]) ).
cnf(i_0_341,plain,
( ~ isFinite0(X1)
| aElementOf0(szmzazxdt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[224]) ).
cnf(i_0_342,plain,
( aElementOf0(szmzizndt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[227]) ).
cnf(i_0_343,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[228]) ).
cnf(i_0_344,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[229]) ).
cnf(i_0_345,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[240]) ).
cnf(i_0_346,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[254]) ).
cnf(i_0_347,plain,
( ~ aElement0(xx)
| aElementOf0(xx,xP) ),
inference(equality_inference,[],[259]) ).
cnf(i_0_348,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_inference,[],[267]) ).
cnf(i_0_349,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_inference,[],[269]) ).
cnf(i_0_350,plain,
aSet0(slcrc0),
inference(equality_inference,[],[276]) ).
cnf(i_0_351,plain,
~ isCountable0(slcrc0),
inference(scs_inference,[],[i_0_350,i_0_348]) ).
cnf(i_0_352,plain,
sbrdtbr0(slcrc0) = sz00,
inference(scs_inference,[],[i_0_350,i_0_349]) ).
cnf(i_0_353,plain,
aSubsetOf0(esk15_0,xS),
inference(scs_inference,[],[i_0_245,i_0_191]) ).
cnf(i_0_354,plain,
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aSubsetOf0(X1,xS) ),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_355,plain,
aSet0(esk15_0),
inference(scs_inference,[],[i_0_245,i_0_191,i_0_210]) ).
cnf(i_0_356,plain,
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aSet0(X1) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_357,plain,
iLess0(xk,szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_274,i_0_245,i_0_191,i_0_210,i_0_233]) ).
cnf(i_0_358,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_233]) ).
cnf(i_0_359,plain,
sdtlseqdt0(xk,szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_274,i_0_245,i_0_191,i_0_210,i_0_233,i_0_234]) ).
cnf(i_0_360,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_361,plain,
sdtlseqdt0(xk,xk),
inference(scs_inference,[],[i_0_274,i_0_245,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236]) ).
cnf(i_0_362,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(rename_variables,[],[i_0_236]) ).
cnf(i_0_363,plain,
sdtlseqdt0(sz00,xk),
inference(scs_inference,[],[i_0_274,i_0_245,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242]) ).
cnf(i_0_364,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(rename_variables,[],[i_0_242]) ).
cnf(i_0_365,plain,
aElementOf0(xy,xS),
inference(scs_inference,[],[i_0_272,i_0_274,i_0_245,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244]) ).
cnf(i_0_366,plain,
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,xS) ),
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_367,plain,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_272,i_0_274,i_0_245,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254]) ).
cnf(i_0_368,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_369,plain,
aSubsetOf0(xP,xP),
inference(scs_inference,[],[i_0_272,i_0_274,i_0_281,i_0_245,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260]) ).
cnf(i_0_370,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_260]) ).
cnf(i_0_371,plain,
aSet0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_272,i_0_274,i_0_281,i_0_245,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276]) ).
cnf(i_0_372,plain,
( X1 != slcrc0
| aSet0(X1) ),
inference(rename_variables,[],[i_0_276]) ).
cnf(i_0_373,plain,
aSet0(slbdtrb0(xk)),
inference(scs_inference,[],[i_0_272,i_0_274,i_0_281,i_0_245,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345]) ).
cnf(i_0_374,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_345]) ).
cnf(i_0_375,plain,
xk = sbrdtbr0(xQ),
inference(scs_inference,[],[i_0_272,i_0_274,i_0_281,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293]) ).
cnf(i_0_376,plain,
xy != xx,
inference(scs_inference,[],[i_0_263,i_0_272,i_0_274,i_0_281,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312]) ).
cnf(i_0_377,plain,
xS != xT,
inference(scs_inference,[],[i_0_264,i_0_263,i_0_272,i_0_273,i_0_274,i_0_281,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313]) ).
cnf(i_0_378,plain,
aElementOf0(xk,slbdtrb0(szszuzczcdt0(xk))),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_272,i_0_273,i_0_274,i_0_281,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330]) ).
cnf(i_0_379,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(rename_variables,[],[i_0_330]) ).
cnf(i_0_380,plain,
~ aElementOf0(xy,xP),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_338,i_0_272,i_0_273,i_0_274,i_0_281,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216]) ).
cnf(i_0_381,plain,
( aElementOf0(X1,sdtmndt0(xQ,xy))
| X1 = xx
| ~ aElementOf0(X1,xP) ),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_382,plain,
aElement0(xx),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_338,i_0_272,i_0_273,i_0_274,i_0_281,i_0_285,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237]) ).
cnf(i_0_383,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_384,plain,
aElementOf0(esk1_1(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk)),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_338,i_0_272,i_0_273,i_0_274,i_0_281,i_0_285,i_0_265,i_0_257,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251]) ).
cnf(i_0_385,plain,
( X1 = slcrc0
| aElementOf0(esk1_1(X1),X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_251]) ).
cnf(i_0_386,plain,
~ isFinite0(szNzAzT0),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_338,i_0_272,i_0_273,i_0_274,i_0_277,i_0_281,i_0_285,i_0_286,i_0_265,i_0_257,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261]) ).
cnf(i_0_387,plain,
( ~ isCountable0(X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_388,plain,
~ isCountable0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_338,i_0_272,i_0_273,i_0_274,i_0_277,i_0_281,i_0_285,i_0_286,i_0_265,i_0_257,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267]) ).
cnf(i_0_389,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_390,plain,
aSet0(slbdtsldtrb0(xP,xk)),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_338,i_0_272,i_0_273,i_0_274,i_0_277,i_0_281,i_0_285,i_0_286,i_0_265,i_0_257,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340]) ).
cnf(i_0_391,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSet0(slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_340]) ).
cnf(i_0_392,plain,
slbdtsldtrb0(xS,xk) != slbdtrb0(sz00),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_338,i_0_272,i_0_273,i_0_274,i_0_277,i_0_281,i_0_285,i_0_286,i_0_265,i_0_257,i_0_245,i_0_290,i_0_287,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294]) ).
cnf(i_0_393,plain,
aSet0(sdtpldt0(sdtmndt0(xQ,xy),xx)),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_338,i_0_272,i_0_273,i_0_274,i_0_277,i_0_281,i_0_285,i_0_286,i_0_265,i_0_257,i_0_245,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315]) ).
cnf(i_0_394,plain,
xQ != szNzAzT0,
inference(scs_inference,[],[i_0_264,i_0_263,i_0_338,i_0_272,i_0_273,i_0_274,i_0_277,i_0_278,i_0_281,i_0_285,i_0_286,i_0_265,i_0_257,i_0_245,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320]) ).
cnf(i_0_395,plain,
szNzAzT0 != slbdtrb0(sz00),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_338,i_0_272,i_0_273,i_0_274,i_0_277,i_0_278,i_0_281,i_0_285,i_0_286,i_0_265,i_0_257,i_0_245,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321]) ).
cnf(i_0_396,plain,
aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_277,i_0_278,i_0_281,i_0_285,i_0_286,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188]) ).
cnf(i_0_397,plain,
( ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1) ),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_398,plain,
~ sdtlseqdt0(szszuzczcdt0(sz00),sz00),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_281,i_0_285,i_0_286,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324]) ).
cnf(i_0_399,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| aElementOf0(X1,slbdtrb0(X2)) ),
inference(rename_variables,[],[i_0_324]) ).
cnf(i_0_400,plain,
sdtlseqdt0(szszuzczcdt0(xk),szszuzczcdt0(xk)),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_281,i_0_285,i_0_286,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158]) ).
cnf(i_0_401,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_402,plain,
aSubsetOf0(slbdtrb0(xk),slbdtrb0(xk)),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_281,i_0_285,i_0_286,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159]) ).
cnf(i_0_403,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_404,plain,
sdtlseqdt0(sz00,sz00),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_281,i_0_285,i_0_286,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176]) ).
cnf(i_0_405,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X2,X1) ),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_406,plain,
aSubsetOf0(slcrc0,xP),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_346,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_281,i_0_285,i_0_286,i_0_350,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176,i_0_186]) ).
cnf(i_0_407,plain,
~ aElementOf0(X1,slcrc0),
inference(rename_variables,[],[i_0_346]) ).
cnf(i_0_408,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_186]) ).
cnf(i_0_409,plain,
~ aSubsetOf0(szNzAzT0,xQ),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_346,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_281,i_0_283,i_0_285,i_0_286,i_0_350,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176,i_0_186,i_0_230]) ).
cnf(i_0_410,plain,
( ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1)
| isFinite0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_411,plain,
~ aElementOf0(xy,sdtpldt0(xP,xx)),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_346,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_281,i_0_283,i_0_285,i_0_286,i_0_350,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176,i_0_186,i_0_230,i_0_329]) ).
cnf(i_0_412,plain,
( X1 = X2
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aSet0(X3)
| aElementOf0(X1,X3)
| ~ aElement0(X2) ),
inference(rename_variables,[],[i_0_329]) ).
cnf(i_0_413,plain,
aElementOf0(xy,sdtmndt0(xQ,xx)),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_346,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_280,i_0_281,i_0_283,i_0_285,i_0_286,i_0_350,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176,i_0_186,i_0_230,i_0_329,i_0_326]) ).
cnf(i_0_414,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElementOf0(X1,X3)
| ~ aElement0(X1)
| ~ aSet0(X3)
| ~ aElement0(X2) ),
inference(rename_variables,[],[i_0_326]) ).
cnf(i_0_415,plain,
aSubsetOf0(xQ,xT),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_346,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_280,i_0_281,i_0_283,i_0_285,i_0_286,i_0_350,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176,i_0_186,i_0_230,i_0_329,i_0_326,i_0_189]) ).
cnf(i_0_416,plain,
( ~ aElementOf0(X1,slbdtsldtrb0(xT,xk))
| aSubsetOf0(X1,xT) ),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_417,plain,
aElementOf0(xx,xP),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_346,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_280,i_0_281,i_0_283,i_0_285,i_0_286,i_0_350,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176,i_0_186,i_0_230,i_0_329,i_0_326,i_0_189,i_0_347]) ).
cnf(i_0_418,plain,
( aElementOf0(szmzizndt0(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| ~ aSubsetOf0(slbdtsldtrb0(xS,xk),szNzAzT0) ),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_346,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_280,i_0_281,i_0_283,i_0_285,i_0_286,i_0_350,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176,i_0_186,i_0_230,i_0_329,i_0_326,i_0_189,i_0_347,i_0_342]) ).
cnf(i_0_419,plain,
( X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0)
| aElementOf0(szmzizndt0(X1),X1) ),
inference(rename_variables,[],[i_0_342]) ).
cnf(i_0_420,plain,
( aElementOf0(szmzizndt0(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xT,xk) != szNzAzT0 ),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_346,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_280,i_0_281,i_0_283,i_0_285,i_0_286,i_0_350,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176,i_0_186,i_0_230,i_0_329,i_0_326,i_0_189,i_0_347,i_0_342,i_0_317]) ).
cnf(i_0_421,plain,
( aElementOf0(szmzizndt0(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| sz00 != szszuzczcdt0(sz00) ),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_346,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_280,i_0_281,i_0_283,i_0_285,i_0_286,i_0_350,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176,i_0_186,i_0_230,i_0_329,i_0_326,i_0_189,i_0_347,i_0_342,i_0_317,i_0_318]) ).
cnf(i_0_422,plain,
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,X1) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_423,plain,
( aElementOf0(szmzizndt0(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk))
| aSet0(X1)
| X1 != slbdtrb0(xk) ),
inference(scs_inference,[],[i_0_264,i_0_263,i_0_346,i_0_219,i_0_338,i_0_272,i_0_273,i_0_274,i_0_275,i_0_277,i_0_278,i_0_280,i_0_281,i_0_283,i_0_285,i_0_286,i_0_350,i_0_265,i_0_247,i_0_257,i_0_245,i_0_256,i_0_290,i_0_287,i_0_288,i_0_248,i_0_191,i_0_210,i_0_233,i_0_234,i_0_236,i_0_242,i_0_244,i_0_254,i_0_260,i_0_276,i_0_345,i_0_293,i_0_312,i_0_313,i_0_330,i_0_216,i_0_237,i_0_251,i_0_261,i_0_267,i_0_340,i_0_294,i_0_315,i_0_320,i_0_321,i_0_188,i_0_324,i_0_158,i_0_159,i_0_176,i_0_186,i_0_230,i_0_329,i_0_326,i_0_189,i_0_347,i_0_342,i_0_317,i_0_318,i_0_240]) ).
cnf(i_0_424,plain,
( aSet0(slbdtrb0(xk))
| aElementOf0(szmzizndt0(slbdtsldtrb0(xS,xk)),slbdtsldtrb0(xS,xk)) ),
inference(equality_inference,[],[423]) ).
cnf(i_0_425,plain,
iLess0(sz00,szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_275,i_0_233]) ).
cnf(i_0_426,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_233]) ).
cnf(i_0_427,plain,
sdtlseqdt0(sz00,szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_275,i_0_233,i_0_234]) ).
cnf(i_0_428,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_234]) ).
cnf(i_0_429,plain,
aSubsetOf0(xT,xT),
inference(scs_inference,[],[i_0_275,i_0_284,i_0_233,i_0_234,i_0_260]) ).
cnf(i_0_430,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_260]) ).
cnf(i_0_431,plain,
aSubsetOf0(esk1_1(slbdtsldtrb0(xS,xk)),xS),
inference(scs_inference,[],[i_0_275,i_0_284,i_0_384,i_0_233,i_0_234,i_0_260,i_0_191]) ).
cnf(i_0_432,plain,
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aSubsetOf0(X1,xS) ),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_433,plain,
aSet0(esk1_1(slbdtsldtrb0(xS,xk))),
inference(scs_inference,[],[i_0_275,i_0_284,i_0_384,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210]) ).
cnf(i_0_434,plain,
( ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| aSet0(X1) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_435,plain,
sdtpldt0(sdtmndt0(xQ,xy),xx) = xP,
inference(scs_inference,[],[i_0_248,i_0_275,i_0_284,i_0_384,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293]) ).
cnf(i_0_436,plain,
~ sdtlseqdt0(szszuzczcdt0(sz00),sbrdtbr0(slcrc0)),
inference(scs_inference,[],[i_0_398,i_0_248,i_0_275,i_0_284,i_0_384,i_0_352,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319]) ).
cnf(i_0_437,plain,
aElementOf0(sz00,slbdtrb0(szszuzczcdt0(sz00))),
inference(scs_inference,[],[i_0_398,i_0_248,i_0_275,i_0_284,i_0_384,i_0_352,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330]) ).
cnf(i_0_438,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(rename_variables,[],[i_0_330]) ).
cnf(i_0_439,plain,
aSet0(slbdtsldtrb0(xP,sz00)),
inference(scs_inference,[],[i_0_398,i_0_248,i_0_275,i_0_281,i_0_284,i_0_384,i_0_352,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340]) ).
cnf(i_0_440,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSet0(slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_340]) ).
cnf(i_0_441,plain,
aElement0(xQ),
inference(scs_inference,[],[i_0_396,i_0_398,i_0_248,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_352,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237]) ).
cnf(i_0_442,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_443,plain,
xx != xy,
inference(scs_inference,[],[i_0_396,i_0_398,i_0_248,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_352,i_0_417,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312]) ).
cnf(i_0_444,plain,
xP != xT,
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_248,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_352,i_0_417,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313]) ).
cnf(i_0_445,plain,
xk != sbrdtbr0(slcrc0),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_248,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_352,i_0_291,i_0_417,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294]) ).
cnf(i_0_446,plain,
sz00 != szszuzczcdt0(sz00),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_352,i_0_291,i_0_417,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318]) ).
cnf(i_0_447,plain,
slcrc0 != szNzAzT0,
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_352,i_0_279,i_0_291,i_0_386,i_0_417,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320]) ).
cnf(i_0_448,plain,
aSubsetOf0(slbdtrb0(sz00),xP),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_386,i_0_417,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186]) ).
cnf(i_0_449,plain,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(rename_variables,[],[i_0_367]) ).
cnf(i_0_450,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_186]) ).
cnf(i_0_451,plain,
~ aSubsetOf0(szNzAzT0,slcrc0),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_386,i_0_417,i_0_350,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230]) ).
cnf(i_0_452,plain,
( ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1)
| isFinite0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_230]) ).
cnf(i_0_453,plain,
sdtlseqdt0(szszuzczcdt0(sz00),szszuzczcdt0(sz00)),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_386,i_0_417,i_0_350,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158]) ).
cnf(i_0_454,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_455,plain,
aSubsetOf0(slbdtrb0(sz00),slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_386,i_0_417,i_0_350,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159]) ).
cnf(i_0_456,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_457,plain,
aElementOf0(xP,slbdtsldtrb0(xT,xk)),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_246,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_386,i_0_417,i_0_350,i_0_219,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159,i_0_188]) ).
cnf(i_0_458,plain,
( ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1) ),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_459,plain,
aElementOf0(xx,sdtmndt0(xP,xy)),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_246,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_382,i_0_386,i_0_417,i_0_280,i_0_350,i_0_219,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159,i_0_188,i_0_326]) ).
cnf(i_0_460,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElementOf0(X1,X3)
| ~ aElement0(X1)
| ~ aSet0(X3)
| ~ aElement0(X2) ),
inference(rename_variables,[],[i_0_326]) ).
cnf(i_0_461,plain,
aSubsetOf0(xP,xT),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_246,i_0_275,i_0_281,i_0_284,i_0_256,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_382,i_0_386,i_0_417,i_0_280,i_0_350,i_0_219,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159,i_0_188,i_0_326,i_0_189]) ).
cnf(i_0_462,plain,
( ~ aElementOf0(X1,slbdtsldtrb0(xT,xk))
| aSubsetOf0(X1,xT) ),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_463,plain,
( ~ aElementOf0(X1,slbdtrb0(xk))
| aElementOf0(X1,szNzAzT0) ),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_246,i_0_275,i_0_281,i_0_284,i_0_256,i_0_274,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_382,i_0_386,i_0_417,i_0_280,i_0_350,i_0_219,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159,i_0_188,i_0_326,i_0_189,i_0_337]) ).
cnf(i_0_464,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_337]) ).
cnf(i_0_465,plain,
~ aSubsetOf0(szNzAzT0,slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_246,i_0_275,i_0_281,i_0_284,i_0_256,i_0_274,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_382,i_0_386,i_0_417,i_0_280,i_0_350,i_0_219,i_0_287,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159,i_0_188,i_0_326,i_0_189,i_0_337,i_0_160,i_0_317]) ).
cnf(i_0_466,plain,
( aSubsetOf0(xP,szNzAzT0)
| ~ aElementOf0(esk2_2(szNzAzT0,xP),slbdtrb0(xk)) ),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_246,i_0_275,i_0_281,i_0_284,i_0_256,i_0_274,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_382,i_0_386,i_0_417,i_0_280,i_0_286,i_0_350,i_0_219,i_0_287,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159,i_0_188,i_0_326,i_0_189,i_0_337,i_0_160,i_0_317,i_0_156]) ).
cnf(i_0_467,plain,
( ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aSubsetOf0(X2,X1) ),
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_468,plain,
( sdtlseqdt0(esk2_2(szNzAzT0,xP),esk2_2(szNzAzT0,xP))
| ~ aElementOf0(esk2_2(szNzAzT0,xP),slbdtrb0(xk)) ),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_246,i_0_275,i_0_281,i_0_284,i_0_256,i_0_274,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_382,i_0_386,i_0_417,i_0_280,i_0_286,i_0_350,i_0_219,i_0_287,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159,i_0_188,i_0_326,i_0_189,i_0_337,i_0_160,i_0_317,i_0_156,i_0_236]) ).
cnf(i_0_469,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(rename_variables,[],[i_0_236]) ).
cnf(i_0_470,plain,
( ~ aElementOf0(esk2_2(szNzAzT0,xP),slbdtrb0(xk))
| sdtlseqdt0(sz00,esk2_2(szNzAzT0,xP)) ),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_246,i_0_275,i_0_281,i_0_284,i_0_256,i_0_274,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_382,i_0_386,i_0_417,i_0_280,i_0_286,i_0_350,i_0_219,i_0_287,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159,i_0_188,i_0_326,i_0_189,i_0_337,i_0_160,i_0_317,i_0_156,i_0_236,i_0_242]) ).
cnf(i_0_471,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(rename_variables,[],[i_0_242]) ).
cnf(i_0_472,plain,
( aSet0(slbdtrb0(esk2_2(szNzAzT0,xP)))
| ~ aElementOf0(esk2_2(szNzAzT0,xP),slbdtrb0(xk)) ),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_246,i_0_275,i_0_281,i_0_284,i_0_256,i_0_274,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_382,i_0_386,i_0_417,i_0_280,i_0_286,i_0_350,i_0_219,i_0_287,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159,i_0_188,i_0_326,i_0_189,i_0_337,i_0_160,i_0_317,i_0_156,i_0_236,i_0_242,i_0_345]) ).
cnf(i_0_473,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_345]) ).
cnf(i_0_474,plain,
( ~ aElementOf0(esk2_2(szNzAzT0,xP),slbdtrb0(xk))
| aSet0(X1)
| X1 != slbdtrb0(sz00) ),
inference(scs_inference,[],[i_0_264,i_0_396,i_0_398,i_0_404,i_0_248,i_0_246,i_0_275,i_0_281,i_0_284,i_0_256,i_0_274,i_0_384,i_0_380,i_0_367,i_0_371,i_0_352,i_0_279,i_0_291,i_0_382,i_0_386,i_0_409,i_0_417,i_0_280,i_0_286,i_0_350,i_0_219,i_0_265,i_0_287,i_0_233,i_0_234,i_0_260,i_0_191,i_0_210,i_0_293,i_0_319,i_0_330,i_0_340,i_0_237,i_0_312,i_0_313,i_0_294,i_0_318,i_0_320,i_0_186,i_0_230,i_0_158,i_0_159,i_0_188,i_0_326,i_0_189,i_0_337,i_0_160,i_0_317,i_0_156,i_0_236,i_0_242,i_0_345,i_0_240]) ).
cnf(i_0_475,plain,
( aSet0(slbdtrb0(sz00))
| ~ aElementOf0(esk2_2(szNzAzT0,xP),slbdtrb0(xk)) ),
inference(equality_inference,[],[474]) ).
cnf(i_0_476,plain,
aSubsetOf0(xS,xS),
inference(scs_inference,[],[i_0_285,i_0_260]) ).
cnf(i_0_477,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_260]) ).
cnf(i_0_478,plain,
xk = sbrdtbr0(xP),
inference(scs_inference,[],[i_0_288,i_0_285,i_0_260,i_0_293]) ).
cnf(i_0_479,plain,
$false,
inference(scs_inference,[],[i_0_264,i_0_457,i_0_288,i_0_285,i_0_417,i_0_260,i_0_293,i_0_160]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.21 % Problem : NUM558+3 : TPTP v9.2.1. Released v4.0.0.
% 0.02/0.21 % 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
% 0.13/0.42 % Computer : n017.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8042.1875MB
% 0.13/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Tue May 5 00:43:42 EDT 2026
% 0.13/0.43 % CPUTime :
% 0.15/0.45 % start to proof: theBenchmark
% 0.30/1.75 % Version : CSE_E---1.7
% 0.30/1.75 % Problem : theBenchmark.p
% 0.30/1.75 % SZS status Theorem for theBenchmark.p
% 0.30/1.75 % SZS output start CNFRefutation
% See solution above
% 0.95/2.49 % Total time : 1.291s
%------------------------------------------------------------------------------