%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM555+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:57:48 PM UTC 2026
% Result : Theorem 0.33s 1.61s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 150)
% 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(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(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__,conjecture,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegFin) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(m__2338,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2338) ).
fof(m__2323,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2323) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(m__2227,hypothesis,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& slbdtsldtrb0(xS,xk) != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).
fof(m__2270,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).
fof(m__2357,hypothesis,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2357) ).
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_65,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_66,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_67,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
inference(fof_simplification,[status(thm)],[mSelNSet]) ).
fof(i_0_68,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(i_0_69,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(i_0_70,plain,
! [X139,X140,X141,X142,X143,X144] :
( ( aSet0(X141)
| X141 != sdtmndt0(X139,X140)
| ~ aSet0(X139)
| ~ aElement0(X140) )
& ( aElement0(X142)
| ~ aElementOf0(X142,X141)
| X141 != sdtmndt0(X139,X140)
| ~ aSet0(X139)
| ~ aElement0(X140) )
& ( aElementOf0(X142,X139)
| ~ aElementOf0(X142,X141)
| X141 != sdtmndt0(X139,X140)
| ~ aSet0(X139)
| ~ aElement0(X140) )
& ( X142 != X140
| ~ aElementOf0(X142,X141)
| X141 != sdtmndt0(X139,X140)
| ~ aSet0(X139)
| ~ aElement0(X140) )
& ( ~ aElement0(X143)
| ~ aElementOf0(X143,X139)
| X143 = X140
| aElementOf0(X143,X141)
| X141 != sdtmndt0(X139,X140)
| ~ aSet0(X139)
| ~ aElement0(X140) )
& ( ~ aElementOf0(esk4_3(X139,X140,X144),X144)
| ~ aElement0(esk4_3(X139,X140,X144))
| ~ aElementOf0(esk4_3(X139,X140,X144),X139)
| esk4_3(X139,X140,X144) = X140
| ~ aSet0(X144)
| X144 = sdtmndt0(X139,X140)
| ~ aSet0(X139)
| ~ aElement0(X140) )
& ( aElement0(esk4_3(X139,X140,X144))
| aElementOf0(esk4_3(X139,X140,X144),X144)
| ~ aSet0(X144)
| X144 = sdtmndt0(X139,X140)
| ~ aSet0(X139)
| ~ aElement0(X140) )
& ( aElementOf0(esk4_3(X139,X140,X144),X139)
| aElementOf0(esk4_3(X139,X140,X144),X144)
| ~ aSet0(X144)
| X144 = sdtmndt0(X139,X140)
| ~ aSet0(X139)
| ~ aElement0(X140) )
& ( esk4_3(X139,X140,X144) != X140
| aElementOf0(esk4_3(X139,X140,X144),X144)
| ~ aSet0(X144)
| X144 = sdtmndt0(X139,X140)
| ~ aSet0(X139)
| ~ aElement0(X140) ) ),
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_71,plain,
! [X216,X217,X218,X219,X220,X221] :
( ( aSet0(X218)
| X218 != slbdtsldtrb0(X216,X217)
| ~ aSet0(X216)
| ~ aElementOf0(X217,szNzAzT0) )
& ( aSubsetOf0(X219,X216)
| ~ aElementOf0(X219,X218)
| X218 != slbdtsldtrb0(X216,X217)
| ~ aSet0(X216)
| ~ aElementOf0(X217,szNzAzT0) )
& ( sbrdtbr0(X219) = X217
| ~ aElementOf0(X219,X218)
| X218 != slbdtsldtrb0(X216,X217)
| ~ aSet0(X216)
| ~ aElementOf0(X217,szNzAzT0) )
& ( ~ aSubsetOf0(X220,X216)
| sbrdtbr0(X220) != X217
| aElementOf0(X220,X218)
| X218 != slbdtsldtrb0(X216,X217)
| ~ aSet0(X216)
| ~ aElementOf0(X217,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X216,X217,X221),X221)
| ~ aSubsetOf0(esk11_3(X216,X217,X221),X216)
| sbrdtbr0(esk11_3(X216,X217,X221)) != X217
| ~ aSet0(X221)
| X221 = slbdtsldtrb0(X216,X217)
| ~ aSet0(X216)
| ~ aElementOf0(X217,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X216,X217,X221),X216)
| aElementOf0(esk11_3(X216,X217,X221),X221)
| ~ aSet0(X221)
| X221 = slbdtsldtrb0(X216,X217)
| ~ aSet0(X216)
| ~ aElementOf0(X217,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X216,X217,X221)) = X217
| aElementOf0(esk11_3(X216,X217,X221),X221)
| ~ aSet0(X221)
| X221 = slbdtsldtrb0(X216,X217)
| ~ aSet0(X216)
| ~ 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)],[mDefSel])])])])])]) ).
fof(i_0_72,plain,
! [X132,X133,X134,X135,X136,X137] :
( ( aSet0(X134)
| X134 != sdtpldt0(X132,X133)
| ~ aSet0(X132)
| ~ aElement0(X133) )
& ( aElement0(X135)
| ~ aElementOf0(X135,X134)
| X134 != sdtpldt0(X132,X133)
| ~ aSet0(X132)
| ~ aElement0(X133) )
& ( aElementOf0(X135,X132)
| X135 = X133
| ~ aElementOf0(X135,X134)
| X134 != sdtpldt0(X132,X133)
| ~ aSet0(X132)
| ~ aElement0(X133) )
& ( ~ aElementOf0(X136,X132)
| ~ aElement0(X136)
| aElementOf0(X136,X134)
| X134 != sdtpldt0(X132,X133)
| ~ aSet0(X132)
| ~ aElement0(X133) )
& ( X136 != X133
| ~ aElement0(X136)
| aElementOf0(X136,X134)
| X134 != sdtpldt0(X132,X133)
| ~ aSet0(X132)
| ~ aElement0(X133) )
& ( ~ aElementOf0(esk3_3(X132,X133,X137),X132)
| ~ aElement0(esk3_3(X132,X133,X137))
| ~ aElementOf0(esk3_3(X132,X133,X137),X137)
| ~ aSet0(X137)
| X137 = sdtpldt0(X132,X133)
| ~ aSet0(X132)
| ~ aElement0(X133) )
& ( esk3_3(X132,X133,X137) != X133
| ~ aElement0(esk3_3(X132,X133,X137))
| ~ aElementOf0(esk3_3(X132,X133,X137),X137)
| ~ aSet0(X137)
| X137 = sdtpldt0(X132,X133)
| ~ aSet0(X132)
| ~ aElement0(X133) )
& ( aElement0(esk3_3(X132,X133,X137))
| aElementOf0(esk3_3(X132,X133,X137),X137)
| ~ aSet0(X137)
| X137 = sdtpldt0(X132,X133)
| ~ aSet0(X132)
| ~ aElement0(X133) )
& ( aElementOf0(esk3_3(X132,X133,X137),X132)
| esk3_3(X132,X133,X137) = X133
| aElementOf0(esk3_3(X132,X133,X137),X137)
| ~ aSet0(X137)
| X137 = sdtpldt0(X132,X133)
| ~ aSet0(X132)
| ~ aElement0(X133) ) ),
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_73,plain,
! [X202,X203,X204,X205,X206] :
( ( aSet0(X203)
| X203 != slbdtrb0(X202)
| ~ aElementOf0(X202,szNzAzT0) )
& ( aElementOf0(X204,szNzAzT0)
| ~ aElementOf0(X204,X203)
| X203 != slbdtrb0(X202)
| ~ aElementOf0(X202,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X204),X202)
| ~ aElementOf0(X204,X203)
| X203 != slbdtrb0(X202)
| ~ aElementOf0(X202,szNzAzT0) )
& ( ~ aElementOf0(X205,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X205),X202)
| aElementOf0(X205,X203)
| X203 != slbdtrb0(X202)
| ~ aElementOf0(X202,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X202,X206),X206)
| ~ aElementOf0(esk9_2(X202,X206),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X202,X206)),X202)
| ~ aSet0(X206)
| X206 = slbdtrb0(X202)
| ~ aElementOf0(X202,szNzAzT0) )
& ( aElementOf0(esk9_2(X202,X206),szNzAzT0)
| aElementOf0(esk9_2(X202,X206),X206)
| ~ aSet0(X206)
| X206 = slbdtrb0(X202)
| ~ aElementOf0(X202,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X202,X206)),X202)
| aElementOf0(esk9_2(X202,X206),X206)
| ~ aSet0(X206)
| X206 = slbdtrb0(X202)
| ~ aElementOf0(X202,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_74,plain,
! [X172,X173,X174] :
( ~ aElementOf0(X172,szNzAzT0)
| ~ aElementOf0(X173,szNzAzT0)
| ~ aElementOf0(X174,szNzAzT0)
| ~ sdtlseqdt0(X172,X173)
| ~ sdtlseqdt0(X173,X174)
| sdtlseqdt0(X172,X174) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(i_0_75,plain,
! [X195,X196,X197,X198] :
( ( aElementOf0(X196,X195)
| X196 != szmzazxdt0(X195)
| ~ aSubsetOf0(X195,szNzAzT0)
| ~ isFinite0(X195)
| X195 = slcrc0 )
& ( ~ aElementOf0(X197,X195)
| sdtlseqdt0(X197,X196)
| X196 != szmzazxdt0(X195)
| ~ aSubsetOf0(X195,szNzAzT0)
| ~ isFinite0(X195)
| X195 = slcrc0 )
& ( aElementOf0(esk8_2(X195,X198),X195)
| ~ aElementOf0(X198,X195)
| X198 = szmzazxdt0(X195)
| ~ aSubsetOf0(X195,szNzAzT0)
| ~ isFinite0(X195)
| X195 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X195,X198),X198)
| ~ aElementOf0(X198,X195)
| X198 = szmzazxdt0(X195)
| ~ aSubsetOf0(X195,szNzAzT0)
| ~ isFinite0(X195)
| X195 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMax])])])])])]) ).
fof(i_0_76,plain,
! [X200,X201] :
( ~ aSubsetOf0(X200,szNzAzT0)
| ~ aSubsetOf0(X201,szNzAzT0)
| X200 = slcrc0
| X201 = slcrc0
| ~ aElementOf0(szmzizndt0(X200),X201)
| ~ aElementOf0(szmzizndt0(X201),X200)
| szmzizndt0(X200) = szmzizndt0(X201) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMinMin])]) ).
fof(i_0_77,plain,
! [X209,X210] :
( ( ~ aElementOf0(X209,slbdtrb0(szszuzczcdt0(X210)))
| aElementOf0(X209,slbdtrb0(X210))
| X209 = X210
| ~ aElementOf0(X209,szNzAzT0)
| ~ aElementOf0(X210,szNzAzT0) )
& ( ~ aElementOf0(X209,slbdtrb0(X210))
| aElementOf0(X209,slbdtrb0(szszuzczcdt0(X210)))
| ~ aElementOf0(X209,szNzAzT0)
| ~ aElementOf0(X210,szNzAzT0) )
& ( X209 != X210
| aElementOf0(X209,slbdtrb0(szszuzczcdt0(X210)))
| ~ aElementOf0(X209,szNzAzT0)
| ~ aElementOf0(X210,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
fof(i_0_78,plain,
! [X190,X191,X192,X193] :
( ( aElementOf0(X191,X190)
| X191 != szmzizndt0(X190)
| ~ aSubsetOf0(X190,szNzAzT0)
| X190 = slcrc0 )
& ( ~ aElementOf0(X192,X190)
| sdtlseqdt0(X191,X192)
| X191 != szmzizndt0(X190)
| ~ aSubsetOf0(X190,szNzAzT0)
| X190 = slcrc0 )
& ( aElementOf0(esk7_2(X190,X193),X190)
| ~ aElementOf0(X193,X190)
| X193 = szmzizndt0(X190)
| ~ aSubsetOf0(X190,szNzAzT0)
| X190 = slcrc0 )
& ( ~ sdtlseqdt0(X193,esk7_2(X190,X193))
| ~ aElementOf0(X193,X190)
| X193 = szmzizndt0(X190)
| ~ aSubsetOf0(X190,szNzAzT0)
| X190 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMin])])])])])]) ).
fof(i_0_79,plain,
! [X187,X188] :
( ( aSubsetOf0(esk6_2(X187,X188),X187)
| ~ isFinite0(X187)
| ~ sdtlseqdt0(X188,sbrdtbr0(X187))
| ~ aSet0(X187)
| ~ aElementOf0(X188,szNzAzT0) )
& ( sbrdtbr0(esk6_2(X187,X188)) = X188
| ~ isFinite0(X187)
| ~ sdtlseqdt0(X188,sbrdtbr0(X187))
| ~ aSet0(X187)
| ~ aElementOf0(X188,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])]) ).
fof(i_0_80,plain,
! [X183,X184] :
( ~ aSet0(X183)
| ~ isFinite0(X183)
| ~ aElementOf0(X184,X183)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X183,X184))) = sbrdtbr0(X183) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])]) ).
fof(i_0_81,plain,
! [X166,X167] :
( ( ~ sdtlseqdt0(X166,X167)
| sdtlseqdt0(szszuzczcdt0(X166),szszuzczcdt0(X167))
| ~ aElementOf0(X166,szNzAzT0)
| ~ aElementOf0(X167,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X166),szszuzczcdt0(X167))
| sdtlseqdt0(X166,X167)
| ~ aElementOf0(X166,szNzAzT0)
| ~ aElementOf0(X167,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(i_0_82,plain,
! [X211,X212] :
( ( ~ sdtlseqdt0(X211,X212)
| aSubsetOf0(slbdtrb0(X211),slbdtrb0(X212))
| ~ aElementOf0(X211,szNzAzT0)
| ~ aElementOf0(X212,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X211),slbdtrb0(X212))
| sdtlseqdt0(X211,X212)
| ~ aElementOf0(X211,szNzAzT0)
| ~ aElementOf0(X212,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
fof(i_0_83,plain,
! [X119,X120,X121,X122] :
( ( aSet0(X120)
| ~ aSubsetOf0(X120,X119)
| ~ aSet0(X119) )
& ( ~ aElementOf0(X121,X120)
| aElementOf0(X121,X119)
| ~ aSubsetOf0(X120,X119)
| ~ aSet0(X119) )
& ( aElementOf0(esk2_2(X119,X122),X122)
| ~ aSet0(X122)
| aSubsetOf0(X122,X119)
| ~ aSet0(X119) )
& ( ~ aElementOf0(esk2_2(X119,X122),X119)
| ~ aSet0(X122)
| aSubsetOf0(X122,X119)
| ~ aSet0(X119) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])]) ).
fof(i_0_84,plain,
! [X170,X171] :
( ~ aElementOf0(X170,szNzAzT0)
| ~ aElementOf0(X171,szNzAzT0)
| ~ sdtlseqdt0(X170,X171)
| ~ sdtlseqdt0(X171,X170)
| X170 = X171 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(i_0_85,plain,
! [X129,X130,X131] :
( ~ aSet0(X129)
| ~ aSet0(X130)
| ~ aSet0(X131)
| ~ aSubsetOf0(X129,X130)
| ~ aSubsetOf0(X130,X131)
| aSubsetOf0(X129,X131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(i_0_86,plain,
! [X181,X182] :
( ~ aSet0(X181)
| ~ isFinite0(X181)
| ~ aElement0(X182)
| aElementOf0(X182,X181)
| sbrdtbr0(sdtpldt0(X181,X182)) = szszuzczcdt0(sbrdtbr0(X181)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])])]) ).
fof(i_0_87,plain,
! [X175,X176] :
( ~ aElementOf0(X175,szNzAzT0)
| ~ aElementOf0(X176,szNzAzT0)
| sdtlseqdt0(X175,X176)
| sdtlseqdt0(szszuzczcdt0(X176),X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(i_0_88,plain,
! [X146,X147] :
( ~ aSet0(X146)
| ~ aElementOf0(X147,X146)
| sdtpldt0(sdtmndt0(X146,X147),X147) = X146 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
fof(i_0_89,plain,
! [X148,X149] :
( ~ aElement0(X148)
| ~ aSet0(X149)
| aElementOf0(X148,X149)
| sdtmndt0(sdtpldt0(X149,X148),X148) = X149 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])]) ).
fof(i_0_90,plain,
! [X227,X228] :
( ~ aSet0(X227)
| ~ isCountable0(X227)
| ~ aElementOf0(X228,szNzAzT0)
| X228 = sz00
| isCountable0(slbdtsldtrb0(X227,X228)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelCSet])])]) ).
fof(i_0_91,plain,
! [X223,X224] :
( ~ aSet0(X223)
| ~ isFinite0(X223)
| ~ aElementOf0(X224,szNzAzT0)
| isFinite0(slbdtsldtrb0(X223,X224)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelFSet])])]) ).
fof(i_0_92,plain,
! [X185,X186] :
( ~ aSet0(X185)
| ~ isFinite0(X185)
| ~ aSubsetOf0(X186,X185)
| sdtlseqdt0(sbrdtbr0(X186),sbrdtbr0(X185)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
fof(i_0_93,plain,
! [X127,X128] :
( ~ aSet0(X127)
| ~ aSet0(X128)
| ~ aSubsetOf0(X127,X128)
| ~ aSubsetOf0(X128,X127)
| X127 = X128 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
fof(i_0_94,plain,
! [X213] :
( ( aElementOf0(esk10_1(X213),szNzAzT0)
| ~ aSubsetOf0(X213,szNzAzT0)
| ~ isFinite0(X213) )
& ( aSubsetOf0(X213,slbdtrb0(esk10_1(X213)))
| ~ aSubsetOf0(X213,szNzAzT0)
| ~ isFinite0(X213) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFinSubSeg])])])]) ).
fof(i_0_95,plain,
! [X159,X160] :
( ~ aElementOf0(X159,szNzAzT0)
| ~ aElementOf0(X160,szNzAzT0)
| szszuzczcdt0(X159) != szszuzczcdt0(X160)
| X159 = X160 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(i_0_96,plain,
! [X225,X226] :
( ~ aSet0(X225)
| isFinite0(X225)
| ~ aElementOf0(X226,szNzAzT0)
| slbdtsldtrb0(X225,X226) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])])]) ).
fof(i_0_97,plain,
! [X152,X153] :
( ~ aElement0(X152)
| ~ aSet0(X153)
| ~ isCountable0(X153)
| isCountable0(sdtmndt0(X153,X152)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])]) ).
fof(i_0_98,plain,
! [X150,X151] :
( ~ aElement0(X150)
| ~ aSet0(X151)
| ~ isCountable0(X151)
| isCountable0(sdtpldt0(X151,X150)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])]) ).
fof(i_0_99,plain,
! [X156,X157] :
( ~ aElement0(X156)
| ~ aSet0(X157)
| ~ isFinite0(X157)
| isFinite0(sdtmndt0(X157,X156)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
fof(i_0_100,plain,
! [X154,X155] :
( ~ aElement0(X154)
| ~ aSet0(X155)
| ~ isFinite0(X155)
| isFinite0(sdtpldt0(X155,X154)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])]) ).
fof(i_0_101,plain,
! [X165] :
( ~ aElementOf0(X165,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X165),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])]) ).
fof(i_0_102,plain,
! [X124,X125] :
( ~ aSet0(X124)
| ~ isFinite0(X124)
| ~ aSubsetOf0(X125,X124)
| isFinite0(X125) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
fof(i_0_103,plain,
! [X179] :
( ( ~ aElementOf0(sbrdtbr0(X179),szNzAzT0)
| isFinite0(X179)
| ~ aSet0(X179) )
& ( ~ isFinite0(X179)
| aElementOf0(sbrdtbr0(X179),szNzAzT0)
| ~ aSet0(X179) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(i_0_104,plain,
! [X161] :
( ( aElementOf0(esk5_1(X161),szNzAzT0)
| X161 = sz00
| ~ aElementOf0(X161,szNzAzT0) )
& ( X161 = szszuzczcdt0(esk5_1(X161))
| X161 = sz00
| ~ aElementOf0(X161,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
fof(i_0_105,plain,
! [X177] :
( ~ aElementOf0(X177,szNzAzT0)
| iLess0(X177,szszuzczcdt0(X177)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_106,plain,
! [X168] :
( ~ aElementOf0(X168,szNzAzT0)
| sdtlseqdt0(X168,szszuzczcdt0(X168)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_107,plain,
! [X158] :
( ( aElementOf0(szszuzczcdt0(X158),szNzAzT0)
| ~ aElementOf0(X158,szNzAzT0) )
& ( szszuzczcdt0(X158) != sz00
| ~ aElementOf0(X158,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(i_0_108,plain,
! [X169] :
( ~ aElementOf0(X169,szNzAzT0)
| sdtlseqdt0(X169,X169) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_109,plain,
! [X111,X112] :
( ~ aSet0(X111)
| ~ aElementOf0(X112,X111)
| aElement0(X112) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_110,plain,
! [X164] :
( ~ aElementOf0(X164,szNzAzT0)
| sdtlseqdt0(sz00,X164) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_111,negated_conjecture,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(i_0_112,plain,
! [X215] :
( ~ aElementOf0(X215,szNzAzT0)
| sbrdtbr0(slbdtrb0(X215)) = X215 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
fof(i_0_113,plain,
! [X208] :
( ~ aElementOf0(X208,szNzAzT0)
| isFinite0(slbdtrb0(X208)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_114,plain,
! [X113,X114,X115] :
( ( aSet0(X113)
| X113 != slcrc0 )
& ( ~ aElementOf0(X114,X113)
| X113 != slcrc0 )
& ( ~ aSet0(X115)
| aElementOf0(esk1_1(X115),X115)
| X115 = 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_115,plain,
! [X163] :
( ~ aElementOf0(X163,szNzAzT0)
| X163 != szszuzczcdt0(X163) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_116,plain,
! [X126] :
( ~ aSet0(X126)
| aSubsetOf0(X126,X126) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_117,plain,
! [X117] :
( ~ aSet0(X117)
| ~ isCountable0(X117)
| ~ isFinite0(X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])]) ).
fof(i_0_118,hypothesis,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[m__2338]) ).
fof(i_0_119,hypothesis,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[m__2323]) ).
fof(i_0_120,plain,
! [X178] :
( ~ aSet0(X178)
| aElement0(sbrdtbr0(X178)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_121,plain,
! [X118] :
( ~ aSet0(X118)
| ~ isCountable0(X118)
| X118 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_122,plain,
! [X180] :
( ( sbrdtbr0(X180) != sz00
| X180 = slcrc0
| ~ aSet0(X180) )
& ( X180 != slcrc0
| sbrdtbr0(X180) = sz00
| ~ aSet0(X180) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
cnf(i_0_123,plain,
( esk4_3(X1,X2,X3) = X2
| X3 = sdtmndt0(X1,X2)
| ~ aElementOf0(esk4_3(X1,X2,X3),X3)
| ~ aElement0(esk4_3(X1,X2,X3))
| ~ aElementOf0(esk4_3(X1,X2,X3),X1)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_124,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_71]),
[final] ).
cnf(i_0_125,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_72]),
[final] ).
cnf(i_0_126,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_72]),
[final] ).
cnf(i_0_127,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_72]),
[final] ).
cnf(i_0_128,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_71]),
[final] ).
cnf(i_0_129,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_71]),
[final] ).
cnf(i_0_130,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_70]),
[final] ).
cnf(i_0_131,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_73]),
[final] ).
cnf(i_0_132,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_70]),
[final] ).
cnf(i_0_133,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_72]),
[final] ).
cnf(i_0_134,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_70]),
[final] ).
cnf(i_0_135,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_73]),
[final] ).
cnf(i_0_136,plain,
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_137,plain,
( X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ sdtlseqdt0(esk8_2(X1,X2),X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_138,plain,
( X1 = slcrc0
| X2 = slcrc0
| szmzizndt0(X1) = szmzizndt0(X2)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),X2)
| ~ aElementOf0(szmzizndt0(X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_139,plain,
( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_140,plain,
( X1 = szmzizndt0(X2)
| X2 = slcrc0
| ~ sdtlseqdt0(X1,esk7_2(X2,X1))
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_141,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_73]),
[final] ).
cnf(i_0_142,plain,
( aSubsetOf0(esk6_2(X1,X2),X1)
| ~ isFinite0(X1)
| ~ sdtlseqdt0(X2,sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_143,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_144,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_145,plain,
( sbrdtbr0(esk6_2(X1,X2)) = X2
| ~ isFinite0(X1)
| ~ sdtlseqdt0(X2,sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_146,plain,
( aElementOf0(esk8_2(X1,X2),X1)
| X2 = szmzazxdt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_147,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_71]),
[final] ).
cnf(i_0_148,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_149,plain,
( sdtlseqdt0(X1,X2)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_150,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_151,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_152,plain,
( aElementOf0(esk7_2(X1,X2),X1)
| X2 = szmzizndt0(X1)
| X1 = slcrc0
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_153,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_154,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_155,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_156,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_157,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_70]),
[final] ).
cnf(i_0_158,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_159,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_160,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_161,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_162,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_163,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_164,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_165,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_166,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_167,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_168,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_169,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_170,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_171,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_172,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_173,plain,
( X2 = sz00
| isCountable0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_174,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_175,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_176,plain,
( isFinite0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_177,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_178,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_179,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_180,plain,
( aElementOf0(X1,X3)
| X1 != X2
| ~ aElement0(X1)
| X3 != sdtpldt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_181,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_182,plain,
( aSubsetOf0(X1,slbdtrb0(esk10_1(X1)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_183,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_184,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_185,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_186,hypothesis,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[m__2227]),
[final] ).
cnf(i_0_187,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_188,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_189,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_190,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_191,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_192,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_193,plain,
( aElementOf0(esk10_1(X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_194,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_195,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_196,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_197,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_198,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_199,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_200,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_201,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_202,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_203,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_204,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_205,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_206,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_207,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_208,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_209,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_210,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[m__2270]),
[final] ).
cnf(i_0_211,negated_conjecture,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_212,hypothesis,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(split_conjunct,[status(thm)],[m__2357]),
[final] ).
cnf(i_0_213,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_214,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_215,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_216,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_217,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_218,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_219,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_220,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_221,hypothesis,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_222,hypothesis,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_223,hypothesis,
slbdtsldtrb0(xS,xk) != slcrc0,
inference(split_conjunct,[status(thm)],[m__2227]),
[final] ).
cnf(i_0_224,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_225,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_226,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_227,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_228,hypothesis,
aElementOf0(xy,xQ),
inference(split_conjunct,[status(thm)],[m__2304]),
[final] ).
cnf(i_0_229,hypothesis,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[m__2256]),
[final] ).
cnf(i_0_230,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__2202]),
[final] ).
cnf(i_0_231,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_232,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_233,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_234,hypothesis,
isFinite0(xQ),
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_235,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_236,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__2304]),
[final] ).
cnf(i_0_237,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_238,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_239,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_240,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_241,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]),
[final] ).
cnf(i_0_242,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[m__2291]),
[final] ).
cnf(i_0_243,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[m__2202_02]),
[final] ).
cnf(i_0_244,axiom,
X1 = X1 ).
cnf(i_0_245,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_246,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_247,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_248,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_249,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_250,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_251,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_252,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_253,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_254,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_255,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_256,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_257,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_258,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_259,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_260,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_261,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_262,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_263,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_264,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_265,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_266,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_267,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_268,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_269,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_270,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_271,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_272,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_273,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_274,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_275,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_244_001,axiom,
X1 = X1 ).
cnf(i_0_245_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_246_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_247_004,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_248_005,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_249_006,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_250_007,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_251_008,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_252_009,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_253_010,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_254_011,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_255_012,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_256_013,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_257_014,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_258_015,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_259_016,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_260_017,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_261_018,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_262_019,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_263_020,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_264_021,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_265_022,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_266_023,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_267_024,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_268_025,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_269_026,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_270_027,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_271_028,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_272_029,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_273_030,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_274_031,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_275_032,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_276,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[150]) ).
cnf(i_0_277,plain,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0) ),
inference(equality_inference,[],[155]) ).
cnf(i_0_278,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| X1 = X3
| aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[157]) ).
cnf(i_0_279,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[158]) ).
cnf(i_0_280,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0)
| sbrdtbr0(X2) = X3 ),
inference(equality_inference,[],[160]) ).
cnf(i_0_281,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| X3 = X2
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[161]) ).
cnf(i_0_282,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(equality_inference,[],[162]) ).
cnf(i_0_283,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[165]) ).
cnf(i_0_284,plain,
( ~ aElementOf0(X1,X2)
| ~ isFinite0(X2)
| sdtlseqdt0(X1,szmzazxdt0(X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[166]) ).
cnf(i_0_285,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[167]) ).
cnf(i_0_286,plain,
( ~ aElementOf0(X1,X2)
| sdtlseqdt0(szmzizndt0(X2),X1)
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[171]) ).
cnf(i_0_287,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[174]) ).
cnf(i_0_288,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[175]) ).
cnf(i_0_289,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[178]) ).
cnf(i_0_290,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[183]) ).
cnf(i_0_291,plain,
( ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(equality_inference,[],[184]) ).
cnf(i_0_292,plain,
( ~ isFinite0(X1)
| aElementOf0(szmzazxdt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[191]) ).
cnf(i_0_293,plain,
( aElementOf0(szmzizndt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[194]) ).
cnf(i_0_294,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[195]) ).
cnf(i_0_295,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[196]) ).
cnf(i_0_296,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[207]) ).
cnf(i_0_297,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[218]) ).
cnf(i_0_298,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_inference,[],[225]) ).
cnf(i_0_299,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_inference,[],[227]) ).
cnf(i_0_300,plain,
aSet0(slcrc0),
inference(equality_inference,[],[232]) ).
cnf(i_0_301,plain,
$false,
inference(scs_inference,[],[i_0_237,i_0_236,i_0_222,i_0_211,i_0_283]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM555+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n011.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 00:44:47 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 0.33/1.61 % Version : CSE_E---1.7
% 0.33/1.61 % Problem : theBenchmark.p
% 0.33/1.61 % SZS status Theorem for theBenchmark.p
% 0.33/1.61 % SZS output start CNFRefutation
% See solution above
% 0.33/1.65 % Total time : 1.272s
%------------------------------------------------------------------------------