%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM603+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 : n021.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 04:57:59 PM UTC 2026
% Result : Theorem 0.44s 1.61s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 181)
% 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(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(m__3965,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3965) ).
fof(m__4331,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2) )
=> ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4331) ).
fof(m__3398,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,szNzAzT0)
& isCountable0(X2) )
=> ! [X3] :
( ( aFunction0(X3)
& szDzozmdt0(X3) = slbdtsldtrb0(X2,X1)
& aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT) )
=> ( iLess0(X1,xK)
=> ? [X4] :
( aElementOf0(X4,xT)
& ? [X5] :
( aSubsetOf0(X5,X2)
& isCountable0(X5)
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(X5,X1))
=> sdtlpdtrp0(X3,X6) = X4 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3398) ).
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(mDefPtt,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtlbdtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,szDzozmdt0(X1))
& sdtlpdtrp0(X1,X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPtt) ).
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(mDefSImg,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtlcdtrc0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5] :
( aElementOf0(X5,X2)
& sdtlpdtrp0(X1,X5) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
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(mDefRst,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtexdt0(X1,X2)
<=> ( aFunction0(X3)
& szDzozmdt0(X3) = X2
& ! [X4] :
( aElementOf0(X4,X2)
=> sdtlpdtrp0(X3,X4) = sdtlpdtrp0(X1,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefRst) ).
fof(mSelExtra,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( ( aSubsetOf0(X3,slbdtsldtrb0(X1,X2))
& isFinite0(X3) )
=> ? [X4] :
( aSubsetOf0(X4,X1)
& isFinite0(X4)
& aSubsetOf0(X3,slbdtsldtrb0(X4,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelExtra) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
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(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
fof(m__4618,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ? [X2] :
( aElementOf0(X2,xT)
& ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4618) ).
fof(m__4411,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ? [X2] :
( aElementOf0(X2,xT)
& ? [X3] :
( aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X3)
& ! [X4] :
( ( aSet0(X4)
& aElementOf0(X4,slbdtsldtrb0(X3,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X4) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4411) ).
fof(m__4182,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4182) ).
fof(mSelSub,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2,X3] :
( ( aSet0(X2)
& aSet0(X3)
& X1 != sz00 )
=> ( ( aSubsetOf0(slbdtsldtrb0(X2,X1),slbdtsldtrb0(X3,X1))
& slbdtsldtrb0(X2,X1) != slcrc0 )
=> aSubsetOf0(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelSub) ).
fof(mImgCount,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( ( aSubsetOf0(X2,szDzozmdt0(X1))
& isCountable0(X2) )
=> ( ! [X3,X4] :
( ( aElementOf0(X3,szDzozmdt0(X1))
& aElementOf0(X4,szDzozmdt0(X1))
& X3 != X4 )
=> sdtlpdtrp0(X1,X3) != sdtlpdtrp0(X1,X4) )
=> isCountable0(sdtlcdtrc0(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgCount) ).
fof(mDirichlet,axiom,
! [X1] :
( aFunction0(X1)
=> ( ( isCountable0(szDzozmdt0(X1))
& isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) )
=> ( aElement0(szDzizrdt0(X1))
& isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDirichlet) ).
fof(m__3821,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& X1 != X2 )
=> szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3821) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
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(mImgRng,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgRng) ).
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(mImgElm,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElement0(sdtlpdtrp0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgElm) ).
fof(m__4982,hypothesis,
! [X1] :
( aElementOf0(X1,xO)
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
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(mPttSet,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPttSet) ).
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(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
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(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
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(m__,conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
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(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(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
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__4758,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4758) ).
fof(m__3453,hypothesis,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(m__4891,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
fof(m__4854,hypothesis,
( aElementOf0(szDzizrdt0(xd),xT)
& isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).
fof(m__3435,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(m__5034,hypothesis,
( aElementOf0(xi,szNzAzT0)
& sdtlpdtrp0(xe,xi) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).
fof(m__5009,hypothesis,
aElementOf0(xx,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5009) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(m__3418,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(m__4908,hypothesis,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(m__3520,hypothesis,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).
fof(m__3462,hypothesis,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(i_0_93,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_94,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_95,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> slbdtsldtrb0(X1,X2) != slcrc0 ) ),
inference(fof_simplification,[status(thm)],[mSelNSet]) ).
fof(i_0_96,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(fof_simplification,[status(thm)],[mNoScLessZr]) ).
fof(i_0_97,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
fof(i_0_98,hypothesis,
! [X353,X354] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( aFunction0(sdtlpdtrp0(xC,X353))
| ~ aElementOf0(X353,szNzAzT0) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X353)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X353),szmzizndt0(sdtlpdtrp0(xN,X353))),xk)
| ~ aElementOf0(X353,szNzAzT0) )
& ( ~ aSet0(X354)
| ~ aElementOf0(X354,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X353),szmzizndt0(sdtlpdtrp0(xN,X353))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X353),X354) = sdtlpdtrp0(xc,sdtpldt0(X354,szmzizndt0(sdtlpdtrp0(xN,X353))))
| ~ aElementOf0(X353,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4151])])])]) ).
fof(i_0_99,hypothesis,
! [X351,X352] :
( ~ aElementOf0(X351,szNzAzT0)
| ~ aSet0(X352)
| ~ aElementOf0(X352,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X351),szmzizndt0(sdtlpdtrp0(xN,X351))),xk))
| aElementOf0(sdtpldt0(X352,szmzizndt0(sdtlpdtrp0(xN,X351))),slbdtsldtrb0(xS,xK)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3965])])]) ).
fof(i_0_100,hypothesis,
! [X356,X357,X358] :
( ~ aElementOf0(X356,szNzAzT0)
| ~ aSubsetOf0(X357,sdtmndt0(sdtlpdtrp0(xN,X356),szmzizndt0(sdtlpdtrp0(xN,X356))))
| ~ isCountable0(X357)
| ~ aSet0(X358)
| ~ aElementOf0(X358,slbdtsldtrb0(X357,xk))
| aElementOf0(X358,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X356),szmzizndt0(sdtlpdtrp0(xN,X356))),xk)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4331])])]) ).
fof(i_0_101,hypothesis,
! [X339,X340,X341,X344] :
( ( aElementOf0(esk20_3(X339,X340,X341),xT)
| ~ iLess0(X339,xK)
| ~ aFunction0(X341)
| szDzozmdt0(X341) != slbdtsldtrb0(X340,X339)
| ~ aSubsetOf0(sdtlcdtrc0(X341,szDzozmdt0(X341)),xT)
| ~ aSubsetOf0(X340,szNzAzT0)
| ~ isCountable0(X340)
| ~ aElementOf0(X339,szNzAzT0) )
& ( aSubsetOf0(esk21_3(X339,X340,X341),X340)
| ~ iLess0(X339,xK)
| ~ aFunction0(X341)
| szDzozmdt0(X341) != slbdtsldtrb0(X340,X339)
| ~ aSubsetOf0(sdtlcdtrc0(X341,szDzozmdt0(X341)),xT)
| ~ aSubsetOf0(X340,szNzAzT0)
| ~ isCountable0(X340)
| ~ aElementOf0(X339,szNzAzT0) )
& ( isCountable0(esk21_3(X339,X340,X341))
| ~ iLess0(X339,xK)
| ~ aFunction0(X341)
| szDzozmdt0(X341) != slbdtsldtrb0(X340,X339)
| ~ aSubsetOf0(sdtlcdtrc0(X341,szDzozmdt0(X341)),xT)
| ~ aSubsetOf0(X340,szNzAzT0)
| ~ isCountable0(X340)
| ~ aElementOf0(X339,szNzAzT0) )
& ( ~ aElementOf0(X344,slbdtsldtrb0(esk21_3(X339,X340,X341),X339))
| sdtlpdtrp0(X341,X344) = esk20_3(X339,X340,X341)
| ~ iLess0(X339,xK)
| ~ aFunction0(X341)
| szDzozmdt0(X341) != slbdtsldtrb0(X340,X339)
| ~ aSubsetOf0(sdtlcdtrc0(X341,szDzozmdt0(X341)),xT)
| ~ aSubsetOf0(X340,szNzAzT0)
| ~ isCountable0(X340)
| ~ aElementOf0(X339,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3398])])])])]) ).
fof(i_0_102,plain,
! [X206,X207,X208,X209,X210,X211] :
( ( aSet0(X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElement0(X209)
| ~ aElementOf0(X209,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElementOf0(X209,X206)
| ~ aElementOf0(X209,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( X209 != X207
| ~ aElementOf0(X209,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( ~ aElement0(X210)
| ~ aElementOf0(X210,X206)
| X210 = X207
| aElementOf0(X210,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( ~ aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aElement0(esk4_3(X206,X207,X211))
| ~ aElementOf0(esk4_3(X206,X207,X211),X206)
| esk4_3(X206,X207,X211) = X207
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElement0(esk4_3(X206,X207,X211))
| aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElementOf0(esk4_3(X206,X207,X211),X206)
| aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( esk4_3(X206,X207,X211) != X207
| aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) ) ),
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_103,plain,
! [X306,X307,X308,X309,X310,X311] :
( ( aSet0(X308)
| X308 != sdtlbdtrb0(X306,X307)
| ~ aFunction0(X306)
| ~ aElement0(X307) )
& ( aElementOf0(X309,szDzozmdt0(X306))
| ~ aElementOf0(X309,X308)
| X308 != sdtlbdtrb0(X306,X307)
| ~ aFunction0(X306)
| ~ aElement0(X307) )
& ( sdtlpdtrp0(X306,X309) = X307
| ~ aElementOf0(X309,X308)
| X308 != sdtlbdtrb0(X306,X307)
| ~ aFunction0(X306)
| ~ aElement0(X307) )
& ( ~ aElementOf0(X310,szDzozmdt0(X306))
| sdtlpdtrp0(X306,X310) != X307
| aElementOf0(X310,X308)
| X308 != sdtlbdtrb0(X306,X307)
| ~ aFunction0(X306)
| ~ aElement0(X307) )
& ( ~ aElementOf0(esk13_3(X306,X307,X311),X311)
| ~ aElementOf0(esk13_3(X306,X307,X311),szDzozmdt0(X306))
| sdtlpdtrp0(X306,esk13_3(X306,X307,X311)) != X307
| ~ aSet0(X311)
| X311 = sdtlbdtrb0(X306,X307)
| ~ aFunction0(X306)
| ~ aElement0(X307) )
& ( aElementOf0(esk13_3(X306,X307,X311),szDzozmdt0(X306))
| aElementOf0(esk13_3(X306,X307,X311),X311)
| ~ aSet0(X311)
| X311 = sdtlbdtrb0(X306,X307)
| ~ aFunction0(X306)
| ~ aElement0(X307) )
& ( sdtlpdtrp0(X306,esk13_3(X306,X307,X311)) = X307
| aElementOf0(esk13_3(X306,X307,X311),X311)
| ~ aSet0(X311)
| X311 = sdtlbdtrb0(X306,X307)
| ~ aFunction0(X306)
| ~ aElement0(X307) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPtt])])])])])]) ).
fof(i_0_104,plain,
! [X283,X284,X285,X286,X287,X288] :
( ( aSet0(X285)
| X285 != slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( aSubsetOf0(X286,X283)
| ~ aElementOf0(X286,X285)
| X285 != slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( sbrdtbr0(X286) = X284
| ~ aElementOf0(X286,X285)
| X285 != slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( ~ aSubsetOf0(X287,X283)
| sbrdtbr0(X287) != X284
| aElementOf0(X287,X285)
| X285 != slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X283,X284,X288),X288)
| ~ aSubsetOf0(esk11_3(X283,X284,X288),X283)
| sbrdtbr0(esk11_3(X283,X284,X288)) != X284
| ~ aSet0(X288)
| X288 = slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X283,X284,X288),X283)
| aElementOf0(esk11_3(X283,X284,X288),X288)
| ~ aSet0(X288)
| X288 = slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X283,X284,X288)) = X284
| aElementOf0(esk11_3(X283,X284,X288),X288)
| ~ aSet0(X288)
| X288 = slbdtsldtrb0(X283,X284)
| ~ aSet0(X283)
| ~ aElementOf0(X284,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_105,plain,
! [X315,X316,X317,X318,X320,X321,X322,X324] :
( ( aSet0(X317)
| X317 != sdtlcdtrc0(X315,X316)
| ~ aSubsetOf0(X316,szDzozmdt0(X315))
| ~ aFunction0(X315) )
& ( aElementOf0(esk14_4(X315,X316,X317,X318),X316)
| ~ aElementOf0(X318,X317)
| X317 != sdtlcdtrc0(X315,X316)
| ~ aSubsetOf0(X316,szDzozmdt0(X315))
| ~ aFunction0(X315) )
& ( sdtlpdtrp0(X315,esk14_4(X315,X316,X317,X318)) = X318
| ~ aElementOf0(X318,X317)
| X317 != sdtlcdtrc0(X315,X316)
| ~ aSubsetOf0(X316,szDzozmdt0(X315))
| ~ aFunction0(X315) )
& ( ~ aElementOf0(X321,X316)
| sdtlpdtrp0(X315,X321) != X320
| aElementOf0(X320,X317)
| X317 != sdtlcdtrc0(X315,X316)
| ~ aSubsetOf0(X316,szDzozmdt0(X315))
| ~ aFunction0(X315) )
& ( ~ aElementOf0(esk15_3(X315,X316,X322),X322)
| ~ aElementOf0(X324,X316)
| sdtlpdtrp0(X315,X324) != esk15_3(X315,X316,X322)
| ~ aSet0(X322)
| X322 = sdtlcdtrc0(X315,X316)
| ~ aSubsetOf0(X316,szDzozmdt0(X315))
| ~ aFunction0(X315) )
& ( aElementOf0(esk16_3(X315,X316,X322),X316)
| aElementOf0(esk15_3(X315,X316,X322),X322)
| ~ aSet0(X322)
| X322 = sdtlcdtrc0(X315,X316)
| ~ aSubsetOf0(X316,szDzozmdt0(X315))
| ~ aFunction0(X315) )
& ( sdtlpdtrp0(X315,esk16_3(X315,X316,X322)) = esk15_3(X315,X316,X322)
| aElementOf0(esk15_3(X315,X316,X322),X322)
| ~ aSet0(X322)
| X322 = sdtlcdtrc0(X315,X316)
| ~ aSubsetOf0(X316,szDzozmdt0(X315))
| ~ aFunction0(X315) ) ),
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)],[mDefSImg])])])])])]) ).
fof(i_0_106,plain,
! [X199,X200,X201,X202,X203,X204] :
( ( aSet0(X201)
| X201 != sdtpldt0(X199,X200)
| ~ aSet0(X199)
| ~ aElement0(X200) )
& ( aElement0(X202)
| ~ aElementOf0(X202,X201)
| X201 != sdtpldt0(X199,X200)
| ~ aSet0(X199)
| ~ aElement0(X200) )
& ( aElementOf0(X202,X199)
| X202 = X200
| ~ aElementOf0(X202,X201)
| X201 != sdtpldt0(X199,X200)
| ~ aSet0(X199)
| ~ aElement0(X200) )
& ( ~ aElementOf0(X203,X199)
| ~ aElement0(X203)
| aElementOf0(X203,X201)
| X201 != sdtpldt0(X199,X200)
| ~ aSet0(X199)
| ~ aElement0(X200) )
& ( X203 != X200
| ~ aElement0(X203)
| aElementOf0(X203,X201)
| X201 != sdtpldt0(X199,X200)
| ~ aSet0(X199)
| ~ aElement0(X200) )
& ( ~ aElementOf0(esk3_3(X199,X200,X204),X199)
| ~ aElement0(esk3_3(X199,X200,X204))
| ~ aElementOf0(esk3_3(X199,X200,X204),X204)
| ~ aSet0(X204)
| X204 = sdtpldt0(X199,X200)
| ~ aSet0(X199)
| ~ aElement0(X200) )
& ( esk3_3(X199,X200,X204) != X200
| ~ aElement0(esk3_3(X199,X200,X204))
| ~ aElementOf0(esk3_3(X199,X200,X204),X204)
| ~ aSet0(X204)
| X204 = sdtpldt0(X199,X200)
| ~ aSet0(X199)
| ~ aElement0(X200) )
& ( aElement0(esk3_3(X199,X200,X204))
| aElementOf0(esk3_3(X199,X200,X204),X204)
| ~ aSet0(X204)
| X204 = sdtpldt0(X199,X200)
| ~ aSet0(X199)
| ~ aElement0(X200) )
& ( aElementOf0(esk3_3(X199,X200,X204),X199)
| esk3_3(X199,X200,X204) = X200
| aElementOf0(esk3_3(X199,X200,X204),X204)
| ~ aSet0(X204)
| X204 = sdtpldt0(X199,X200)
| ~ aSet0(X199)
| ~ aElement0(X200) ) ),
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_107,plain,
! [X328,X329,X330,X331,X332] :
( ( aFunction0(X330)
| X330 != sdtexdt0(X328,X329)
| ~ aSubsetOf0(X329,szDzozmdt0(X328))
| ~ aFunction0(X328) )
& ( szDzozmdt0(X330) = X329
| X330 != sdtexdt0(X328,X329)
| ~ aSubsetOf0(X329,szDzozmdt0(X328))
| ~ aFunction0(X328) )
& ( ~ aElementOf0(X331,X329)
| sdtlpdtrp0(X330,X331) = sdtlpdtrp0(X328,X331)
| X330 != sdtexdt0(X328,X329)
| ~ aSubsetOf0(X329,szDzozmdt0(X328))
| ~ aFunction0(X328) )
& ( aElementOf0(esk17_3(X328,X329,X332),X329)
| ~ aFunction0(X332)
| szDzozmdt0(X332) != X329
| X332 = sdtexdt0(X328,X329)
| ~ aSubsetOf0(X329,szDzozmdt0(X328))
| ~ aFunction0(X328) )
& ( sdtlpdtrp0(X332,esk17_3(X328,X329,X332)) != sdtlpdtrp0(X328,esk17_3(X328,X329,X332))
| ~ aFunction0(X332)
| szDzozmdt0(X332) != X329
| X332 = sdtexdt0(X328,X329)
| ~ aSubsetOf0(X329,szDzozmdt0(X328))
| ~ aFunction0(X328) ) ),
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)],[mDefRst])])])])])]) ).
fof(i_0_108,plain,
! [X299,X300,X301] :
( ( aSubsetOf0(esk12_3(X299,X300,X301),X299)
| ~ aSubsetOf0(X301,slbdtsldtrb0(X299,X300))
| ~ isFinite0(X301)
| ~ aSet0(X299)
| ~ aElementOf0(X300,szNzAzT0) )
& ( isFinite0(esk12_3(X299,X300,X301))
| ~ aSubsetOf0(X301,slbdtsldtrb0(X299,X300))
| ~ isFinite0(X301)
| ~ aSet0(X299)
| ~ aElementOf0(X300,szNzAzT0) )
& ( aSubsetOf0(X301,slbdtsldtrb0(esk12_3(X299,X300,X301),X300))
| ~ aSubsetOf0(X301,slbdtsldtrb0(X299,X300))
| ~ isFinite0(X301)
| ~ aSet0(X299)
| ~ aElementOf0(X300,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelExtra])])])])]) ).
fof(i_0_109,hypothesis,
! [X345] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X345)),sdtmndt0(sdtlpdtrp0(xN,X345),szmzizndt0(sdtlpdtrp0(xN,X345))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X345),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X345))
| ~ aElementOf0(X345,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X345)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X345),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X345))
| ~ aElementOf0(X345,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])]) ).
fof(i_0_110,plain,
! [X269,X270,X271,X272,X273] :
( ( aSet0(X270)
| X270 != slbdtrb0(X269)
| ~ aElementOf0(X269,szNzAzT0) )
& ( aElementOf0(X271,szNzAzT0)
| ~ aElementOf0(X271,X270)
| X270 != slbdtrb0(X269)
| ~ aElementOf0(X269,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X271),X269)
| ~ aElementOf0(X271,X270)
| X270 != slbdtrb0(X269)
| ~ aElementOf0(X269,szNzAzT0) )
& ( ~ aElementOf0(X272,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X272),X269)
| aElementOf0(X272,X270)
| X270 != slbdtrb0(X269)
| ~ aElementOf0(X269,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X269,X273),X273)
| ~ aElementOf0(esk9_2(X269,X273),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X269,X273)),X269)
| ~ aSet0(X273)
| X273 = slbdtrb0(X269)
| ~ aElementOf0(X269,szNzAzT0) )
& ( aElementOf0(esk9_2(X269,X273),szNzAzT0)
| aElementOf0(esk9_2(X269,X273),X273)
| ~ aSet0(X273)
| X273 = slbdtrb0(X269)
| ~ aElementOf0(X269,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X269,X273)),X269)
| aElementOf0(esk9_2(X269,X273),X273)
| ~ aSet0(X273)
| X273 = slbdtrb0(X269)
| ~ aElementOf0(X269,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_111,hypothesis,
! [X367,X368] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( ~ aElementOf0(X367,szNzAzT0)
| ~ aSet0(X368)
| ~ aElementOf0(X368,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X367)),xk))
| sdtlpdtrp0(xd,X367) = sdtlpdtrp0(sdtlpdtrp0(xC,X367),X368) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])]) ).
fof(i_0_112,hypothesis,
! [X363,X365] :
( ( aElementOf0(esk24_1(X363),xT)
| ~ aElementOf0(X363,szNzAzT0) )
& ( ~ aSet0(X365)
| ~ aElementOf0(X365,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X363)),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X363),X365) = esk24_1(X363)
| ~ aElementOf0(X363,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4618])])])])]) ).
fof(i_0_113,hypothesis,
! [X359,X362] :
( ( aElementOf0(esk22_1(X359),xT)
| ~ aElementOf0(X359,szNzAzT0) )
& ( aSubsetOf0(esk23_1(X359),sdtmndt0(sdtlpdtrp0(xN,X359),szmzizndt0(sdtlpdtrp0(xN,X359))))
| ~ aElementOf0(X359,szNzAzT0) )
& ( isCountable0(esk23_1(X359))
| ~ aElementOf0(X359,szNzAzT0) )
& ( ~ aSet0(X362)
| ~ aElementOf0(X362,slbdtsldtrb0(esk23_1(X359),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X359),X362) = esk22_1(X359)
| ~ aElementOf0(X359,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4411])])])])]) ).
fof(i_0_114,hypothesis,
! [X355] :
( ~ aElementOf0(X355,szNzAzT0)
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X355),szDzozmdt0(sdtlpdtrp0(xC,X355))),xT) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4182])]) ).
fof(i_0_115,plain,
! [X296,X297,X298] :
( ~ aElementOf0(X296,szNzAzT0)
| ~ aSet0(X297)
| ~ aSet0(X298)
| X296 = sz00
| ~ aSubsetOf0(slbdtsldtrb0(X297,X296),slbdtsldtrb0(X298,X296))
| slbdtsldtrb0(X297,X296) = slcrc0
| aSubsetOf0(X297,X298) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelSub])])]) ).
fof(i_0_116,plain,
! [X334,X335] :
( ( aElementOf0(esk18_2(X334,X335),szDzozmdt0(X334))
| isCountable0(sdtlcdtrc0(X334,X335))
| ~ aSubsetOf0(X335,szDzozmdt0(X334))
| ~ isCountable0(X335)
| ~ aFunction0(X334) )
& ( aElementOf0(esk19_2(X334,X335),szDzozmdt0(X334))
| isCountable0(sdtlcdtrc0(X334,X335))
| ~ aSubsetOf0(X335,szDzozmdt0(X334))
| ~ isCountable0(X335)
| ~ aFunction0(X334) )
& ( esk18_2(X334,X335) != esk19_2(X334,X335)
| isCountable0(sdtlcdtrc0(X334,X335))
| ~ aSubsetOf0(X335,szDzozmdt0(X334))
| ~ isCountable0(X335)
| ~ aFunction0(X334) )
& ( sdtlpdtrp0(X334,esk18_2(X334,X335)) = sdtlpdtrp0(X334,esk19_2(X334,X335))
| isCountable0(sdtlcdtrc0(X334,X335))
| ~ aSubsetOf0(X335,szDzozmdt0(X334))
| ~ isCountable0(X335)
| ~ aFunction0(X334) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgCount])])])])]) ).
fof(i_0_117,plain,
! [X338] :
( ( aElement0(szDzizrdt0(X338))
| ~ isCountable0(szDzozmdt0(X338))
| ~ isFinite0(sdtlcdtrc0(X338,szDzozmdt0(X338)))
| ~ aFunction0(X338) )
& ( isCountable0(sdtlbdtrb0(X338,szDzizrdt0(X338)))
| ~ isCountable0(szDzozmdt0(X338))
| ~ isFinite0(sdtlcdtrc0(X338,szDzozmdt0(X338)))
| ~ aFunction0(X338) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDirichlet])])]) ).
fof(i_0_118,hypothesis,
! [X349,X350] :
( ~ aElementOf0(X349,szNzAzT0)
| ~ aElementOf0(X350,szNzAzT0)
| X349 = X350
| szmzizndt0(sdtlpdtrp0(xN,X349)) != szmzizndt0(sdtlpdtrp0(xN,X350)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3821])]) ).
fof(i_0_119,hypothesis,
! [X347,X348] :
( ~ aElementOf0(X347,szNzAzT0)
| ~ aElementOf0(X348,szNzAzT0)
| ~ sdtlseqdt0(X348,X347)
| aSubsetOf0(sdtlpdtrp0(xN,X347),sdtlpdtrp0(xN,X348)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])]) ).
fof(i_0_120,plain,
! [X239,X240,X241] :
( ~ aElementOf0(X239,szNzAzT0)
| ~ aElementOf0(X240,szNzAzT0)
| ~ aElementOf0(X241,szNzAzT0)
| ~ sdtlseqdt0(X239,X240)
| ~ sdtlseqdt0(X240,X241)
| sdtlseqdt0(X239,X241) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(i_0_121,plain,
! [X262,X263,X264,X265] :
( ( aElementOf0(X263,X262)
| X263 != szmzazxdt0(X262)
| ~ aSubsetOf0(X262,szNzAzT0)
| ~ isFinite0(X262)
| X262 = slcrc0 )
& ( ~ aElementOf0(X264,X262)
| sdtlseqdt0(X264,X263)
| X263 != szmzazxdt0(X262)
| ~ aSubsetOf0(X262,szNzAzT0)
| ~ isFinite0(X262)
| X262 = slcrc0 )
& ( aElementOf0(esk8_2(X262,X265),X262)
| ~ aElementOf0(X265,X262)
| X265 = szmzazxdt0(X262)
| ~ aSubsetOf0(X262,szNzAzT0)
| ~ isFinite0(X262)
| X262 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X262,X265),X265)
| ~ aElementOf0(X265,X262)
| X265 = szmzazxdt0(X262)
| ~ aSubsetOf0(X262,szNzAzT0)
| ~ isFinite0(X262)
| X262 = 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_122,plain,
! [X326,X327] :
( ~ aFunction0(X326)
| ~ aElementOf0(X327,szDzozmdt0(X326))
| aElementOf0(sdtlpdtrp0(X326,X327),sdtlcdtrc0(X326,szDzozmdt0(X326))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgRng])])]) ).
fof(i_0_123,plain,
! [X267,X268] :
( ~ aSubsetOf0(X267,szNzAzT0)
| ~ aSubsetOf0(X268,szNzAzT0)
| X267 = slcrc0
| X268 = slcrc0
| ~ aElementOf0(szmzizndt0(X267),X268)
| ~ aElementOf0(szmzizndt0(X268),X267)
| szmzizndt0(X267) = szmzizndt0(X268) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMinMin])]) ).
fof(i_0_124,plain,
! [X276,X277] :
( ( ~ aElementOf0(X276,slbdtrb0(szszuzczcdt0(X277)))
| aElementOf0(X276,slbdtrb0(X277))
| X276 = X277
| ~ aElementOf0(X276,szNzAzT0)
| ~ aElementOf0(X277,szNzAzT0) )
& ( ~ aElementOf0(X276,slbdtrb0(X277))
| aElementOf0(X276,slbdtrb0(szszuzczcdt0(X277)))
| ~ aElementOf0(X276,szNzAzT0)
| ~ aElementOf0(X277,szNzAzT0) )
& ( X276 != X277
| aElementOf0(X276,slbdtrb0(szszuzczcdt0(X277)))
| ~ aElementOf0(X276,szNzAzT0)
| ~ aElementOf0(X277,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
fof(i_0_125,plain,
! [X257,X258,X259,X260] :
( ( aElementOf0(X258,X257)
| X258 != szmzizndt0(X257)
| ~ aSubsetOf0(X257,szNzAzT0)
| X257 = slcrc0 )
& ( ~ aElementOf0(X259,X257)
| sdtlseqdt0(X258,X259)
| X258 != szmzizndt0(X257)
| ~ aSubsetOf0(X257,szNzAzT0)
| X257 = slcrc0 )
& ( aElementOf0(esk7_2(X257,X260),X257)
| ~ aElementOf0(X260,X257)
| X260 = szmzizndt0(X257)
| ~ aSubsetOf0(X257,szNzAzT0)
| X257 = slcrc0 )
& ( ~ sdtlseqdt0(X260,esk7_2(X257,X260))
| ~ aElementOf0(X260,X257)
| X260 = szmzizndt0(X257)
| ~ aSubsetOf0(X257,szNzAzT0)
| X257 = 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_126,plain,
! [X254,X255] :
( ( aSubsetOf0(esk6_2(X254,X255),X254)
| ~ isFinite0(X254)
| ~ sdtlseqdt0(X255,sbrdtbr0(X254))
| ~ aSet0(X254)
| ~ aElementOf0(X255,szNzAzT0) )
& ( sbrdtbr0(esk6_2(X254,X255)) = X255
| ~ isFinite0(X254)
| ~ sdtlseqdt0(X255,sbrdtbr0(X254))
| ~ aSet0(X254)
| ~ aElementOf0(X255,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSubEx])])])]) ).
fof(i_0_127,plain,
! [X250,X251] :
( ~ aSet0(X250)
| ~ isFinite0(X250)
| ~ aElementOf0(X251,X250)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X250,X251))) = sbrdtbr0(X250) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])]) ).
fof(i_0_128,plain,
! [X233,X234] :
( ( ~ sdtlseqdt0(X233,X234)
| sdtlseqdt0(szszuzczcdt0(X233),szszuzczcdt0(X234))
| ~ aElementOf0(X233,szNzAzT0)
| ~ aElementOf0(X234,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X233),szszuzczcdt0(X234))
| sdtlseqdt0(X233,X234)
| ~ aElementOf0(X233,szNzAzT0)
| ~ aElementOf0(X234,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(i_0_129,plain,
! [X278,X279] :
( ( ~ sdtlseqdt0(X278,X279)
| aSubsetOf0(slbdtrb0(X278),slbdtrb0(X279))
| ~ aElementOf0(X278,szNzAzT0)
| ~ aElementOf0(X279,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X278),slbdtrb0(X279))
| sdtlseqdt0(X278,X279)
| ~ aElementOf0(X278,szNzAzT0)
| ~ aElementOf0(X279,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
fof(i_0_130,plain,
! [X186,X187,X188,X189] :
( ( aSet0(X187)
| ~ aSubsetOf0(X187,X186)
| ~ aSet0(X186) )
& ( ~ aElementOf0(X188,X187)
| aElementOf0(X188,X186)
| ~ aSubsetOf0(X187,X186)
| ~ aSet0(X186) )
& ( aElementOf0(esk2_2(X186,X189),X189)
| ~ aSet0(X189)
| aSubsetOf0(X189,X186)
| ~ aSet0(X186) )
& ( ~ aElementOf0(esk2_2(X186,X189),X186)
| ~ aSet0(X189)
| aSubsetOf0(X189,X186)
| ~ aSet0(X186) ) ),
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_131,plain,
! [X237,X238] :
( ~ aElementOf0(X237,szNzAzT0)
| ~ aElementOf0(X238,szNzAzT0)
| ~ sdtlseqdt0(X237,X238)
| ~ sdtlseqdt0(X238,X237)
| X237 = X238 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(i_0_132,plain,
! [X196,X197,X198] :
( ~ aSet0(X196)
| ~ aSet0(X197)
| ~ aSet0(X198)
| ~ aSubsetOf0(X196,X197)
| ~ aSubsetOf0(X197,X198)
| aSubsetOf0(X196,X198) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(i_0_133,plain,
! [X248,X249] :
( ~ aSet0(X248)
| ~ isFinite0(X248)
| ~ aElement0(X249)
| aElementOf0(X249,X248)
| sbrdtbr0(sdtpldt0(X248,X249)) = szszuzczcdt0(sbrdtbr0(X248)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_93])])]) ).
fof(i_0_134,plain,
! [X242,X243] :
( ~ aElementOf0(X242,szNzAzT0)
| ~ aElementOf0(X243,szNzAzT0)
| sdtlseqdt0(X242,X243)
| sdtlseqdt0(szszuzczcdt0(X243),X242) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(i_0_135,plain,
! [X213,X214] :
( ~ aSet0(X213)
| ~ aElementOf0(X214,X213)
| sdtpldt0(sdtmndt0(X213,X214),X214) = X213 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
fof(i_0_136,plain,
! [X215,X216] :
( ~ aElement0(X215)
| ~ aSet0(X216)
| aElementOf0(X215,X216)
| sdtmndt0(sdtpldt0(X216,X215),X215) = X216 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_94])]) ).
fof(i_0_137,plain,
! [X304,X305] :
( ~ aFunction0(X304)
| ~ aElementOf0(X305,szDzozmdt0(X304))
| aElement0(sdtlpdtrp0(X304,X305)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgElm])])]) ).
fof(i_0_138,hypothesis,
! [X369] :
( ( aElementOf0(esk25_1(X369),szNzAzT0)
| ~ aElementOf0(X369,xO) )
& ( aElementOf0(esk25_1(X369),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X369,xO) )
& ( sdtlpdtrp0(xe,esk25_1(X369)) = X369
| ~ aElementOf0(X369,xO) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4982])])])]) ).
fof(i_0_139,plain,
! [X294,X295] :
( ~ aSet0(X294)
| ~ isCountable0(X294)
| ~ aElementOf0(X295,szNzAzT0)
| X295 = sz00
| isCountable0(slbdtsldtrb0(X294,X295)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelCSet])])]) ).
fof(i_0_140,plain,
! [X290,X291] :
( ~ aSet0(X290)
| ~ isFinite0(X290)
| ~ aElementOf0(X291,szNzAzT0)
| isFinite0(slbdtsldtrb0(X290,X291)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSelFSet])])]) ).
fof(i_0_141,plain,
! [X252,X253] :
( ~ aSet0(X252)
| ~ isFinite0(X252)
| ~ aSubsetOf0(X253,X252)
| sdtlseqdt0(sbrdtbr0(X253),sbrdtbr0(X252)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSub])])]) ).
fof(i_0_142,plain,
! [X194,X195] :
( ~ aSet0(X194)
| ~ aSet0(X195)
| ~ aSubsetOf0(X194,X195)
| ~ aSubsetOf0(X195,X194)
| X194 = X195 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
fof(i_0_143,plain,
! [X313,X314] :
( ~ aFunction0(X313)
| ~ aElement0(X314)
| aSubsetOf0(sdtlbdtrb0(X313,X314),szDzozmdt0(X313)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPttSet])]) ).
fof(i_0_144,plain,
! [X280] :
( ( aElementOf0(esk10_1(X280),szNzAzT0)
| ~ aSubsetOf0(X280,szNzAzT0)
| ~ isFinite0(X280) )
& ( aSubsetOf0(X280,slbdtrb0(esk10_1(X280)))
| ~ aSubsetOf0(X280,szNzAzT0)
| ~ isFinite0(X280) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFinSubSeg])])])]) ).
fof(i_0_145,hypothesis,
! [X366] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( ~ aElementOf0(X366,szNzAzT0)
| sdtlpdtrp0(xe,X366) = szmzizndt0(sdtlpdtrp0(xN,X366)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])]) ).
fof(i_0_146,plain,
! [X226,X227] :
( ~ aElementOf0(X226,szNzAzT0)
| ~ aElementOf0(X227,szNzAzT0)
| szszuzczcdt0(X226) != szszuzczcdt0(X227)
| X226 = X227 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
fof(i_0_147,hypothesis,
! [X346] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X346),szNzAzT0)
| ~ aElementOf0(X346,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X346))
| ~ aElementOf0(X346,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
fof(i_0_148,plain,
! [X292,X293] :
( ~ aSet0(X292)
| isFinite0(X292)
| ~ aElementOf0(X293,szNzAzT0)
| slbdtsldtrb0(X292,X293) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_95])])]) ).
fof(i_0_149,plain,
! [X219,X220] :
( ~ aElement0(X219)
| ~ aSet0(X220)
| ~ isCountable0(X220)
| isCountable0(sdtmndt0(X220,X219)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])]) ).
fof(i_0_150,plain,
! [X217,X218] :
( ~ aElement0(X217)
| ~ aSet0(X218)
| ~ isCountable0(X218)
| isCountable0(sdtpldt0(X218,X217)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])]) ).
fof(i_0_151,plain,
! [X223,X224] :
( ~ aElement0(X223)
| ~ aSet0(X224)
| ~ isFinite0(X224)
| isFinite0(sdtmndt0(X224,X223)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
fof(i_0_152,plain,
! [X221,X222] :
( ~ aElement0(X221)
| ~ aSet0(X222)
| ~ isFinite0(X222)
| isFinite0(sdtpldt0(X222,X221)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])]) ).
fof(i_0_153,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(i_0_154,plain,
! [X232] :
( ~ aElementOf0(X232,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X232),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_96])]) ).
fof(i_0_155,plain,
! [X191,X192] :
( ~ aSet0(X191)
| ~ isFinite0(X191)
| ~ aSubsetOf0(X192,X191)
| isFinite0(X192) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
fof(i_0_156,plain,
! [X246] :
( ( ~ aElementOf0(sbrdtbr0(X246),szNzAzT0)
| isFinite0(X246)
| ~ aSet0(X246) )
& ( ~ isFinite0(X246)
| aElementOf0(sbrdtbr0(X246),szNzAzT0)
| ~ aSet0(X246) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(i_0_157,plain,
! [X228] :
( ( aElementOf0(esk5_1(X228),szNzAzT0)
| X228 = sz00
| ~ aElementOf0(X228,szNzAzT0) )
& ( X228 = szszuzczcdt0(esk5_1(X228))
| X228 = sz00
| ~ aElementOf0(X228,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
fof(i_0_158,plain,
! [X244] :
( ~ aElementOf0(X244,szNzAzT0)
| iLess0(X244,szszuzczcdt0(X244)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(i_0_159,plain,
! [X235] :
( ~ aElementOf0(X235,szNzAzT0)
| sdtlseqdt0(X235,szszuzczcdt0(X235)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(i_0_160,plain,
! [X225] :
( ( aElementOf0(szszuzczcdt0(X225),szNzAzT0)
| ~ aElementOf0(X225,szNzAzT0) )
& ( szszuzczcdt0(X225) != sz00
| ~ aElementOf0(X225,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(i_0_161,plain,
! [X236] :
( ~ aElementOf0(X236,szNzAzT0)
| sdtlseqdt0(X236,X236) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessRefl])]) ).
fof(i_0_162,plain,
! [X178,X179] :
( ~ aSet0(X178)
| ~ aElementOf0(X179,X178)
| aElement0(X179) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_163,plain,
! [X231] :
( ~ aElementOf0(X231,szNzAzT0)
| sdtlseqdt0(sz00,X231) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(i_0_164,plain,
! [X282] :
( ~ aElementOf0(X282,szNzAzT0)
| sbrdtbr0(slbdtrb0(X282)) = X282 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
fof(i_0_165,plain,
! [X275] :
( ~ aElementOf0(X275,szNzAzT0)
| isFinite0(slbdtrb0(X275)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
fof(i_0_166,plain,
! [X180,X181,X182] :
( ( aSet0(X180)
| X180 != slcrc0 )
& ( ~ aElementOf0(X181,X180)
| X180 != slcrc0 )
& ( ~ aSet0(X182)
| aElementOf0(esk1_1(X182),X182)
| X182 = 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_167,plain,
! [X230] :
( ~ aElementOf0(X230,szNzAzT0)
| X230 != szszuzczcdt0(X230) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
fof(i_0_168,plain,
! [X193] :
( ~ aSet0(X193)
| aSubsetOf0(X193,X193) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(i_0_169,plain,
! [X184] :
( ~ aSet0(X184)
| ~ isCountable0(X184)
| ~ isFinite0(X184) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])]) ).
fof(i_0_170,plain,
! [X245] :
( ~ aSet0(X245)
| aElement0(sbrdtbr0(X245)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
fof(i_0_171,plain,
! [X303] :
( ~ aFunction0(X303)
| aSet0(szDzozmdt0(X303)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
fof(i_0_172,plain,
! [X185] :
( ~ aSet0(X185)
| ~ isCountable0(X185)
| X185 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
fof(i_0_173,plain,
! [X247] :
( ( sbrdtbr0(X247) != sz00
| X247 = slcrc0
| ~ aSet0(X247) )
& ( X247 != slcrc0
| sbrdtbr0(X247) = sz00
| ~ aSet0(X247) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
cnf(i_0_174,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))),xk))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_175,hypothesis,
( aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_176,hypothesis,
( aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ isCountable0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(X3,slbdtsldtrb0(X2,xk)) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_177,hypothesis,
( sdtlpdtrp0(X4,X1) = esk20_3(X2,X3,X4)
| ~ aElementOf0(X1,slbdtsldtrb0(esk21_3(X2,X3,X4),X2))
| ~ iLess0(X2,xK)
| ~ aFunction0(X4)
| szDzozmdt0(X4) != slbdtsldtrb0(X3,X2)
| ~ aSubsetOf0(sdtlcdtrc0(X4,szDzozmdt0(X4)),xT)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ isCountable0(X3)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_178,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_102]),
[final] ).
cnf(i_0_179,plain,
( X3 = sdtlbdtrb0(X1,X2)
| ~ aElementOf0(esk13_3(X1,X2,X3),X3)
| ~ aElementOf0(esk13_3(X1,X2,X3),szDzozmdt0(X1))
| sdtlpdtrp0(X1,esk13_3(X1,X2,X3)) != X2
| ~ aSet0(X3)
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_180,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_104]),
[final] ).
cnf(i_0_181,plain,
( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
| ~ aElementOf0(X4,X3)
| X3 != sdtlcdtrc0(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_182,plain,
( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
| ~ aElementOf0(X4,X3)
| X3 != sdtlcdtrc0(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_183,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_106]),
[final] ).
cnf(i_0_184,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_106]),
[final] ).
cnf(i_0_185,plain,
( X1 = sdtexdt0(X2,X3)
| sdtlpdtrp0(X1,esk17_3(X2,X3,X1)) != sdtlpdtrp0(X2,esk17_3(X2,X3,X1))
| ~ aFunction0(X1)
| szDzozmdt0(X1) != X3
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_186,plain,
( X3 = sdtlcdtrc0(X1,X2)
| ~ aElementOf0(esk15_3(X1,X2,X3),X3)
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X1,X4) != esk15_3(X1,X2,X3)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_187,plain,
( sdtlpdtrp0(X1,esk16_3(X1,X2,X3)) = esk15_3(X1,X2,X3)
| aElementOf0(esk15_3(X1,X2,X3),X3)
| X3 = sdtlcdtrc0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_188,plain,
( aSubsetOf0(X1,slbdtsldtrb0(esk12_3(X2,X3,X1),X3))
| ~ aSubsetOf0(X1,slbdtsldtrb0(X2,X3))
| ~ isFinite0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_189,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_190,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_106]),
[final] ).
cnf(i_0_191,hypothesis,
( aSubsetOf0(esk21_3(X1,X2,X3),X2)
| ~ iLess0(X1,xK)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_192,plain,
( aElementOf0(esk16_3(X1,X2,X3),X2)
| aElementOf0(esk15_3(X1,X2,X3),X3)
| X3 = sdtlcdtrc0(X1,X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_193,hypothesis,
( aElementOf0(esk20_3(X1,X2,X3),xT)
| ~ iLess0(X1,xK)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_194,hypothesis,
( isCountable0(esk21_3(X1,X2,X3))
| ~ iLess0(X1,xK)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != slbdtsldtrb0(X2,X1)
| ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_195,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_104]),
[final] ).
cnf(i_0_196,plain,
( aElementOf0(esk13_3(X1,X2,X3),szDzozmdt0(X1))
| aElementOf0(esk13_3(X1,X2,X3),X3)
| X3 = sdtlbdtrb0(X1,X2)
| ~ aSet0(X3)
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_197,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_104]),
[final] ).
cnf(i_0_198,plain,
( sdtlpdtrp0(X1,esk13_3(X1,X2,X3)) = X2
| aElementOf0(esk13_3(X1,X2,X3),X3)
| X3 = sdtlbdtrb0(X1,X2)
| ~ aSet0(X3)
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_199,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_102]),
[final] ).
cnf(i_0_200,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_110]),
[final] ).
cnf(i_0_201,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_102]),
[final] ).
cnf(i_0_202,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_106]),
[final] ).
cnf(i_0_203,hypothesis,
( sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_204,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_102]),
[final] ).
cnf(i_0_205,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1) = esk24_1(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),xk))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_206,hypothesis,
( szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_207,plain,
( aSubsetOf0(esk12_3(X1,X2,X3),X1)
| ~ aSubsetOf0(X3,slbdtsldtrb0(X1,X2))
| ~ isFinite0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_208,hypothesis,
( aSubsetOf0(esk23_1(X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_209,plain,
( isFinite0(esk12_3(X1,X2,X3))
| ~ aSubsetOf0(X3,slbdtsldtrb0(X1,X2))
| ~ isFinite0(X3)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_210,hypothesis,
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_211,plain,
( aElementOf0(esk17_3(X1,X2,X3),X2)
| X3 = sdtexdt0(X1,X2)
| ~ aFunction0(X3)
| szDzozmdt0(X3) != X2
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_212,plain,
( X1 = sz00
| slbdtsldtrb0(X2,X1) = slcrc0
| aSubsetOf0(X2,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(slbdtsldtrb0(X2,X1),slbdtsldtrb0(X3,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_213,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_214,plain,
( sdtlpdtrp0(X1,esk18_2(X1,X2)) = sdtlpdtrp0(X1,esk19_2(X1,X2))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_215,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1) = esk22_1(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(esk23_1(X2),xk))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_216,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_110]),
[final] ).
cnf(i_0_217,plain,
( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_218,hypothesis,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_219,plain,
( aElementOf0(X4,X5)
| ~ aElementOf0(X1,X2)
| sdtlpdtrp0(X3,X1) != X4
| X5 != sdtlcdtrc0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_220,plain,
( aElementOf0(esk19_2(X1,X2),szDzozmdt0(X1))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_221,plain,
( aElementOf0(esk18_2(X1,X2),szDzozmdt0(X1))
| isCountable0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_222,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_223,plain,
( isCountable0(sdtlcdtrc0(X1,X2))
| esk18_2(X1,X2) != esk19_2(X1,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ isCountable0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_224,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_120]),
[final] ).
cnf(i_0_225,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_121]),
[final] ).
cnf(i_0_226,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_227,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_123]),
[final] ).
cnf(i_0_228,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_124]),
[final] ).
cnf(i_0_229,plain,
( sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X4,X1)
| ~ aElementOf0(X1,X2)
| X3 != sdtexdt0(X4,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X4))
| ~ aFunction0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_230,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_125]),
[final] ).
cnf(i_0_231,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_110]),
[final] ).
cnf(i_0_232,plain,
( aElementOf0(X1,X4)
| ~ aElementOf0(X1,szDzozmdt0(X2))
| sdtlpdtrp0(X2,X1) != X3
| X4 != sdtlbdtrb0(X2,X3)
| ~ aFunction0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_233,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_126]),
[final] ).
cnf(i_0_234,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_235,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_236,plain,
( aElement0(szDzizrdt0(X1))
| ~ isCountable0(szDzozmdt0(X1))
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_237,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_126]),
[final] ).
cnf(i_0_238,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_121]),
[final] ).
cnf(i_0_239,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_104]),
[final] ).
cnf(i_0_240,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_241,plain,
( sdtlseqdt0(X1,X2)
| ~ aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_242,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_243,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_244,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_125]),
[final] ).
cnf(i_0_245,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_246,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_247,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_248,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_249,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_102]),
[final] ).
cnf(i_0_250,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_251,plain,
( aElementOf0(X1,szDzozmdt0(X2))
| ~ aElementOf0(X1,X3)
| X3 != sdtlbdtrb0(X2,X4)
| ~ aFunction0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_252,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_253,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_254,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_255,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_256,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_257,plain,
( sdtlpdtrp0(X1,X2) = X3
| ~ aElementOf0(X2,X4)
| X4 != sdtlbdtrb0(X1,X3)
| ~ aFunction0(X1)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_258,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_259,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_260,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_261,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_262,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_263,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_264,plain,
( aElement0(sdtlpdtrp0(X1,X2))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_265,hypothesis,
( aElementOf0(esk25_1(X1),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_266,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_267,plain,
( szDzozmdt0(X1) = X2
| X1 != sdtexdt0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_268,plain,
( aFunction0(X1)
| X1 != sdtexdt0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_269,plain,
( aSet0(X1)
| X1 != sdtlcdtrc0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_270,plain,
( sdtlseqdt0(X3,X1)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_271,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_272,plain,
( X2 = sz00
| isCountable0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_273,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtmndt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_274,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_275,plain,
( isFinite0(slbdtsldtrb0(X1,X2))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_276,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_277,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_278,plain,
( sdtlseqdt0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_279,plain,
( aElementOf0(X1,X3)
| X1 != X2
| ~ aElement0(X1)
| X3 != sdtpldt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_280,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_281,plain,
( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_282,plain,
( aSubsetOf0(X1,slbdtrb0(esk10_1(X1)))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_283,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_284,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_285,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_286,plain,
( aSet0(X1)
| X1 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_287,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| slbdtsldtrb0(X1,X2) != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_288,plain,
( isCountable0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_289,plain,
( isCountable0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_290,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_291,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_292,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_293,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_294,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_295,hypothesis,
( aFunction0(sdtlpdtrp0(xC,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_296,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_297,plain,
( aElementOf0(esk10_1(X1),szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_298,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_299,plain,
( aSet0(X1)
| X1 != sdtlbdtrb0(X2,X3)
| ~ aFunction0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_300,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_301,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_302,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(split_conjunct,[status(thm)],[m__4758]),
[final] ).
cnf(i_0_303,hypothesis,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_304,hypothesis,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[m__4891]),
[final] ).
cnf(i_0_305,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_306,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_307,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_308,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_158]),
[final] ).
cnf(i_0_309,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_310,hypothesis,
( sdtlpdtrp0(xe,esk25_1(X1)) = X1
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_311,hypothesis,
( aElementOf0(esk25_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_312,hypothesis,
( aElementOf0(esk24_1(X1),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_313,hypothesis,
( aElementOf0(esk22_1(X1),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_314,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_315,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_316,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_317,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_318,hypothesis,
isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[m__4854]),
[final] ).
cnf(i_0_319,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_320,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_321,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_157]),
[final] ).
cnf(i_0_322,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_323,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_324,hypothesis,
( isCountable0(esk23_1(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_325,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_326,plain,
( aElementOf0(esk1_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_327,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_167]),
[final] ).
cnf(i_0_328,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_329,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_330,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_168]),
[final] ).
cnf(i_0_331,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_332,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_333,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_334,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_335,hypothesis,
aElementOf0(szDzizrdt0(xd),xT),
inference(split_conjunct,[status(thm)],[m__4854]),
[final] ).
cnf(i_0_336,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_337,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_338,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_339,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3435]),
[final] ).
cnf(i_0_340,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5034]),
[final] ).
cnf(i_0_341,hypothesis,
aElementOf0(xx,xO),
inference(split_conjunct,[status(thm)],[m__5009]),
[final] ).
cnf(i_0_342,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]),
[final] ).
cnf(i_0_343,hypothesis,
aElementOf0(xK,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3418]),
[final] ).
cnf(i_0_344,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]),
[final] ).
cnf(i_0_345,hypothesis,
sdtlpdtrp0(xe,xi) = xx,
inference(split_conjunct,[status(thm)],[m__5034]),
[final] ).
cnf(i_0_346,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_347,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_348,hypothesis,
aFunction0(xd),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_349,hypothesis,
aFunction0(xe),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_350,hypothesis,
aFunction0(xC),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_351,hypothesis,
aFunction0(xN),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_352,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[m__3453]),
[final] ).
cnf(i_0_353,hypothesis,
isCountable0(xO),
inference(split_conjunct,[status(thm)],[m__4908]),
[final] ).
cnf(i_0_354,hypothesis,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[m__3435]),
[final] ).
cnf(i_0_355,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_356,hypothesis,
isFinite0(xT),
inference(split_conjunct,[status(thm)],[m__3291]),
[final] ).
cnf(i_0_357,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]),
[final] ).
cnf(i_0_358,hypothesis,
aSet0(xO),
inference(split_conjunct,[status(thm)],[m__4908]),
[final] ).
cnf(i_0_359,hypothesis,
aSet0(xO),
inference(split_conjunct,[status(thm)],[m__4891]),
[final] ).
cnf(i_0_360,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]),
[final] ).
cnf(i_0_361,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]),
[final] ).
cnf(i_0_362,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_363,hypothesis,
szDzozmdt0(xe) = szNzAzT0,
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_364,hypothesis,
szDzozmdt0(xC) = szNzAzT0,
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_365,hypothesis,
szDzozmdt0(xN) = szNzAzT0,
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_366,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]),
[final] ).
cnf(i_0_367,hypothesis,
szszuzczcdt0(xk) = xK,
inference(split_conjunct,[status(thm)],[m__3533]),
[final] ).
cnf(i_0_368,hypothesis,
xK != sz00,
inference(split_conjunct,[status(thm)],[m__3520]),
[final] ).
cnf(i_0_369,hypothesis,
xK != sz00,
inference(split_conjunct,[status(thm)],[m__3462]),
[final] ).
cnf(i_0_370,axiom,
X1 = X1 ).
cnf(i_0_371,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_372,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_373,axiom,
( X1 != X2
| sdtlpdtrp0(X1,X3) = sdtlpdtrp0(X2,X3) ) ).
cnf(i_0_374,axiom,
( X1 != X2
| sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X3,X2) ) ).
cnf(i_0_375,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_376,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_377,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_378,axiom,
( X1 != X2
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X2,X3) ) ).
cnf(i_0_379,axiom,
( X1 != X2
| sdtlbdtrb0(X3,X1) = sdtlbdtrb0(X3,X2) ) ).
cnf(i_0_380,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_381,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_382,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_383,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_384,axiom,
( X1 != X2
| sdtexdt0(X1,X3) = sdtexdt0(X2,X3) ) ).
cnf(i_0_385,axiom,
( X1 != X2
| sdtexdt0(X3,X1) = sdtexdt0(X3,X2) ) ).
cnf(i_0_386,axiom,
( X1 != X2
| esk15_3(X1,X3,X4) = esk15_3(X2,X3,X4) ) ).
cnf(i_0_387,axiom,
( X1 != X2
| esk15_3(X3,X1,X4) = esk15_3(X3,X2,X4) ) ).
cnf(i_0_388,axiom,
( X1 != X2
| esk15_3(X3,X4,X1) = esk15_3(X3,X4,X2) ) ).
cnf(i_0_389,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_390,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_391,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_392,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_393,axiom,
( X1 != X2
| esk24_1(X1) = esk24_1(X2) ) ).
cnf(i_0_394,axiom,
( X1 != X2
| esk18_2(X1,X3) = esk18_2(X2,X3) ) ).
cnf(i_0_395,axiom,
( X1 != X2
| esk18_2(X3,X1) = esk18_2(X3,X2) ) ).
cnf(i_0_396,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| esk22_1(X1) = esk22_1(X2) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| esk20_3(X1,X3,X4) = esk20_3(X2,X3,X4) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| esk20_3(X3,X1,X4) = esk20_3(X3,X2,X4) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| esk20_3(X3,X4,X1) = esk20_3(X3,X4,X2) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| szDzozmdt0(X1) = szDzozmdt0(X2) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| sdtlcdtrc0(X1,X3) = sdtlcdtrc0(X2,X3) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| sdtlcdtrc0(X3,X1) = sdtlcdtrc0(X3,X2) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ aFunction0(X1)
| aFunction0(X2) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_370_001,axiom,
X1 = X1 ).
cnf(i_0_371_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_372_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_373_004,axiom,
( X1 != X2
| sdtlpdtrp0(X1,X3) = sdtlpdtrp0(X2,X3) ) ).
cnf(i_0_374_005,axiom,
( X1 != X2
| sdtlpdtrp0(X3,X1) = sdtlpdtrp0(X3,X2) ) ).
cnf(i_0_375_006,axiom,
( X1 != X2
| esk4_3(X1,X3,X4) = esk4_3(X2,X3,X4) ) ).
cnf(i_0_376_007,axiom,
( X1 != X2
| esk4_3(X3,X1,X4) = esk4_3(X3,X2,X4) ) ).
cnf(i_0_377_008,axiom,
( X1 != X2
| esk4_3(X3,X4,X1) = esk4_3(X3,X4,X2) ) ).
cnf(i_0_378_009,axiom,
( X1 != X2
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X2,X3) ) ).
cnf(i_0_379_010,axiom,
( X1 != X2
| sdtlbdtrb0(X3,X1) = sdtlbdtrb0(X3,X2) ) ).
cnf(i_0_380_011,axiom,
( X1 != X2
| sbrdtbr0(X1) = sbrdtbr0(X2) ) ).
cnf(i_0_381_012,axiom,
( X1 != X2
| esk3_3(X1,X3,X4) = esk3_3(X2,X3,X4) ) ).
cnf(i_0_382_013,axiom,
( X1 != X2
| esk3_3(X3,X1,X4) = esk3_3(X3,X2,X4) ) ).
cnf(i_0_383_014,axiom,
( X1 != X2
| esk3_3(X3,X4,X1) = esk3_3(X3,X4,X2) ) ).
cnf(i_0_384_015,axiom,
( X1 != X2
| sdtexdt0(X1,X3) = sdtexdt0(X2,X3) ) ).
cnf(i_0_385_016,axiom,
( X1 != X2
| sdtexdt0(X3,X1) = sdtexdt0(X3,X2) ) ).
cnf(i_0_386_017,axiom,
( X1 != X2
| esk15_3(X1,X3,X4) = esk15_3(X2,X3,X4) ) ).
cnf(i_0_387_018,axiom,
( X1 != X2
| esk15_3(X3,X1,X4) = esk15_3(X3,X2,X4) ) ).
cnf(i_0_388_019,axiom,
( X1 != X2
| esk15_3(X3,X4,X1) = esk15_3(X3,X4,X2) ) ).
cnf(i_0_389_020,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_390_021,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_391_022,axiom,
( X1 != X2
| szszuzczcdt0(X1) = szszuzczcdt0(X2) ) ).
cnf(i_0_392_023,axiom,
( X1 != X2
| slbdtrb0(X1) = slbdtrb0(X2) ) ).
cnf(i_0_393_024,axiom,
( X1 != X2
| esk24_1(X1) = esk24_1(X2) ) ).
cnf(i_0_394_025,axiom,
( X1 != X2
| esk18_2(X1,X3) = esk18_2(X2,X3) ) ).
cnf(i_0_395_026,axiom,
( X1 != X2
| esk18_2(X3,X1) = esk18_2(X3,X2) ) ).
cnf(i_0_396_027,axiom,
( X1 != X2
| esk19_2(X1,X3) = esk19_2(X2,X3) ) ).
cnf(i_0_397_028,axiom,
( X1 != X2
| esk19_2(X3,X1) = esk19_2(X3,X2) ) ).
cnf(i_0_398_029,axiom,
( X1 != X2
| esk22_1(X1) = esk22_1(X2) ) ).
cnf(i_0_399_030,axiom,
( X1 != X2
| szmzizndt0(X1) = szmzizndt0(X2) ) ).
cnf(i_0_400_031,axiom,
( X1 != X2
| szmzazxdt0(X1) = szmzazxdt0(X2) ) ).
cnf(i_0_401_032,axiom,
( X1 != X2
| slbdtsldtrb0(X1,X3) = slbdtsldtrb0(X2,X3) ) ).
cnf(i_0_402_033,axiom,
( X1 != X2
| slbdtsldtrb0(X3,X1) = slbdtsldtrb0(X3,X2) ) ).
cnf(i_0_403_034,axiom,
( X1 != X2
| sdtmndt0(X1,X3) = sdtmndt0(X2,X3) ) ).
cnf(i_0_404_035,axiom,
( X1 != X2
| sdtmndt0(X3,X1) = sdtmndt0(X3,X2) ) ).
cnf(i_0_405_036,axiom,
( X1 != X2
| esk20_3(X1,X3,X4) = esk20_3(X2,X3,X4) ) ).
cnf(i_0_406_037,axiom,
( X1 != X2
| esk20_3(X3,X1,X4) = esk20_3(X3,X2,X4) ) ).
cnf(i_0_407_038,axiom,
( X1 != X2
| esk20_3(X3,X4,X1) = esk20_3(X3,X4,X2) ) ).
cnf(i_0_408_039,axiom,
( X1 != X2
| szDzozmdt0(X1) = szDzozmdt0(X2) ) ).
cnf(i_0_409_040,axiom,
( X1 != X2
| sdtlcdtrc0(X1,X3) = sdtlcdtrc0(X2,X3) ) ).
cnf(i_0_410_041,axiom,
( X1 != X2
| sdtlcdtrc0(X3,X1) = sdtlcdtrc0(X3,X2) ) ).
cnf(i_0_411_042,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_412_043,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_413_044,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_414_045,axiom,
( X1 != X2
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X2,X3) ) ).
cnf(i_0_415_046,axiom,
( X1 != X2
| ~ aSubsetOf0(X3,X1)
| aSubsetOf0(X3,X2) ) ).
cnf(i_0_416_047,axiom,
( X1 != X2
| ~ isCountable0(X1)
| isCountable0(X2) ) ).
cnf(i_0_417_048,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_418_049,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_419_050,axiom,
( X1 != X2
| ~ aFunction0(X1)
| aFunction0(X2) ) ).
cnf(i_0_420_051,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_421_052,axiom,
( X1 != X2
| ~ isFinite0(X1)
| isFinite0(X2) ) ).
cnf(i_0_422_053,axiom,
( X1 != X2
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X2,X3) ) ).
cnf(i_0_423_054,axiom,
( X1 != X2
| ~ sdtlseqdt0(X3,X1)
| sdtlseqdt0(X3,X2) ) ).
cnf(i_0_424,plain,
( ~ aElementOf0(X1,sdtlcdtrc0(X2,X3))
| ~ aFunction0(X2)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| sdtlpdtrp0(X2,esk14_4(X2,X3,sdtlcdtrc0(X2,X3),X1)) = X1 ),
inference(equality_inference,[],[181]) ).
cnf(i_0_425,plain,
( ~ aElementOf0(X1,sdtlcdtrc0(X2,X3))
| ~ aFunction0(X2)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| aElementOf0(esk14_4(X2,X3,sdtlcdtrc0(X2,X3),X1),X3) ),
inference(equality_inference,[],[182]) ).
cnf(i_0_426,plain,
( ~ aFunction0(X1)
| ~ aFunction0(X2)
| X1 = sdtexdt0(X2,szDzozmdt0(X1))
| ~ aSubsetOf0(szDzozmdt0(X1),szDzozmdt0(X2))
| aElementOf0(esk17_3(X2,szDzozmdt0(X1),X1),szDzozmdt0(X1)) ),
inference(equality_inference,[],[211]) ).
cnf(i_0_427,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[218]) ).
cnf(i_0_428,plain,
( ~ aFunction0(X1)
| ~ aElementOf0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X1))
| sdtlpdtrp0(sdtexdt0(X1,X3),X2) = sdtlpdtrp0(X1,X2) ),
inference(equality_inference,[],[229]) ).
cnf(i_0_429,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[242]) ).
cnf(i_0_430,plain,
( ~ aSet0(X1)
| aSubsetOf0(X2,X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0) ),
inference(equality_inference,[],[247]) ).
cnf(i_0_431,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| X1 = X3
| aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[249]) ).
cnf(i_0_432,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2) ),
inference(equality_inference,[],[250]) ).
cnf(i_0_433,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtlbdtrb0(X1,X2))
| aElementOf0(X3,szDzozmdt0(X1)) ),
inference(equality_inference,[],[251]) ).
cnf(i_0_434,plain,
( ~ aSet0(X1)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,X3))
| ~ aElementOf0(X3,szNzAzT0)
| sbrdtbr0(X2) = X3 ),
inference(equality_inference,[],[253]) ).
cnf(i_0_435,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| X3 = X2
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[254]) ).
cnf(i_0_436,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(equality_inference,[],[255]) ).
cnf(i_0_437,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtlbdtrb0(X1,X2))
| sdtlpdtrp0(X1,X3) = X2 ),
inference(equality_inference,[],[257]) ).
cnf(i_0_438,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[259]) ).
cnf(i_0_439,plain,
( ~ aElementOf0(X1,X2)
| ~ isFinite0(X2)
| sdtlseqdt0(X1,szmzazxdt0(X2))
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[260]) ).
cnf(i_0_440,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X2) ),
inference(equality_inference,[],[261]) ).
cnf(i_0_441,plain,
( ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| szDzozmdt0(sdtexdt0(X1,X2)) = X2 ),
inference(equality_inference,[],[267]) ).
cnf(i_0_442,plain,
( ~ aFunction0(X1)
| aFunction0(sdtexdt0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(equality_inference,[],[268]) ).
cnf(i_0_443,plain,
( ~ aFunction0(X1)
| aSet0(sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(equality_inference,[],[269]) ).
cnf(i_0_444,plain,
( ~ aElementOf0(X1,X2)
| sdtlseqdt0(szmzizndt0(X2),X1)
| ~ aSubsetOf0(X2,szNzAzT0)
| X2 = slcrc0 ),
inference(equality_inference,[],[270]) ).
cnf(i_0_445,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[273]) ).
cnf(i_0_446,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[274]) ).
cnf(i_0_447,plain,
( ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[277]) ).
cnf(i_0_448,plain,
( X1 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[284]) ).
cnf(i_0_449,plain,
( ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(equality_inference,[],[286]) ).
cnf(i_0_450,plain,
( ~ isFinite0(X1)
| aElementOf0(szmzazxdt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[292]) ).
cnf(i_0_451,plain,
( aElementOf0(szmzizndt0(X1),X1)
| X1 = slcrc0
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[298]) ).
cnf(i_0_452,plain,
( ~ aFunction0(X1)
| ~ aElement0(X2)
| aSet0(sdtlbdtrb0(X1,X2)) ),
inference(equality_inference,[],[299]) ).
cnf(i_0_453,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtmndt0(X1,X2)) ),
inference(equality_inference,[],[300]) ).
cnf(i_0_454,plain,
( ~ aSet0(X1)
| ~ aElement0(X2)
| aSet0(sdtpldt0(X1,X2)) ),
inference(equality_inference,[],[301]) ).
cnf(i_0_455,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_inference,[],[320]) ).
cnf(i_0_456,plain,
~ aElementOf0(X1,slcrc0),
inference(equality_inference,[],[329]) ).
cnf(i_0_457,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_inference,[],[334]) ).
cnf(i_0_458,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_inference,[],[337]) ).
cnf(i_0_459,plain,
aSet0(slcrc0),
inference(equality_inference,[],[347]) ).
cnf(i_0_460,plain,
~ isCountable0(slcrc0),
inference(scs_inference,[],[i_0_459,i_0_457]) ).
cnf(i_0_461,plain,
sbrdtbr0(slcrc0) = sz00,
inference(scs_inference,[],[i_0_459,i_0_458]) ).
cnf(i_0_462,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(scs_inference,[],[i_0_338,i_0_371]) ).
cnf(i_0_463,plain,
iLess0(xi,szszuzczcdt0(xi)),
inference(scs_inference,[],[i_0_338,i_0_340,i_0_371,i_0_308]) ).
cnf(i_0_464,plain,
( ~ aElementOf0(X1,szNzAzT0)
| iLess0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_308]) ).
cnf(i_0_465,plain,
sdtlseqdt0(xi,szszuzczcdt0(xi)),
inference(scs_inference,[],[i_0_338,i_0_340,i_0_371,i_0_308,i_0_309]) ).
cnf(i_0_466,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_467,plain,
sdtlseqdt0(xi,xi),
inference(scs_inference,[],[i_0_338,i_0_340,i_0_371,i_0_308,i_0_309,i_0_315]) ).
cnf(i_0_468,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(rename_variables,[],[i_0_315]) ).
cnf(i_0_469,plain,
sdtlseqdt0(sz00,xi),
inference(scs_inference,[],[i_0_338,i_0_340,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322]) ).
cnf(i_0_470,plain,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(sz00,X1) ),
inference(rename_variables,[],[i_0_322]) ).
cnf(i_0_471,plain,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_338,i_0_340,i_0_366,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329]) ).
cnf(i_0_472,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(rename_variables,[],[i_0_329]) ).
cnf(i_0_473,plain,
aSubsetOf0(xO,xO),
inference(scs_inference,[],[i_0_338,i_0_340,i_0_359,i_0_366,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330]) ).
cnf(i_0_474,plain,
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(rename_variables,[],[i_0_330]) ).
cnf(i_0_475,plain,
aSet0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_338,i_0_340,i_0_359,i_0_366,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347]) ).
cnf(i_0_476,plain,
( X1 != slcrc0
| aSet0(X1) ),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_477,plain,
aSet0(slbdtrb0(xi)),
inference(scs_inference,[],[i_0_338,i_0_340,i_0_359,i_0_366,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455]) ).
cnf(i_0_478,plain,
( ~ aElementOf0(X1,szNzAzT0)
| aSet0(slbdtrb0(X1)) ),
inference(rename_variables,[],[i_0_455]) ).
cnf(i_0_479,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)),
inference(scs_inference,[],[i_0_293,i_0_338,i_0_340,i_0_359,i_0_346,i_0_366,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415]) ).
cnf(i_0_480,plain,
aElementOf0(xi,slbdtrb0(szszuzczcdt0(xi))),
inference(scs_inference,[],[i_0_293,i_0_338,i_0_340,i_0_359,i_0_346,i_0_366,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436]) ).
cnf(i_0_481,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1))) ),
inference(rename_variables,[],[i_0_436]) ).
cnf(i_0_482,plain,
aSet0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
inference(scs_inference,[],[i_0_293,i_0_338,i_0_340,i_0_359,i_0_346,i_0_366,i_0_304,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436,i_0_411]) ).
cnf(i_0_483,plain,
szNzAzT0 != slbdtrb0(sz00),
inference(scs_inference,[],[i_0_293,i_0_338,i_0_340,i_0_359,i_0_346,i_0_366,i_0_304,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436,i_0_411,i_0_413]) ).
cnf(i_0_484,plain,
isCountable0(sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),
inference(scs_inference,[],[i_0_293,i_0_338,i_0_340,i_0_353,i_0_359,i_0_346,i_0_366,i_0_304,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436,i_0_411,i_0_413,i_0_416]) ).
cnf(i_0_485,plain,
aElement0(xi),
inference(scs_inference,[],[i_0_293,i_0_338,i_0_340,i_0_353,i_0_359,i_0_361,i_0_346,i_0_366,i_0_304,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436,i_0_411,i_0_413,i_0_416,i_0_316]) ).
cnf(i_0_486,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_316]) ).
cnf(i_0_487,plain,
aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(scs_inference,[],[i_0_293,i_0_338,i_0_340,i_0_353,i_0_359,i_0_360,i_0_361,i_0_346,i_0_366,i_0_302,i_0_304,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436,i_0_411,i_0_413,i_0_416,i_0_316,i_0_317]) ).
cnf(i_0_488,plain,
( ~ aSet0(X1)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1) ),
inference(rename_variables,[],[i_0_317]) ).
cnf(i_0_489,plain,
~ isFinite0(xO),
inference(scs_inference,[],[i_0_293,i_0_338,i_0_340,i_0_353,i_0_359,i_0_360,i_0_361,i_0_346,i_0_366,i_0_302,i_0_304,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436,i_0_411,i_0_413,i_0_416,i_0_316,i_0_317,i_0_331]) ).
cnf(i_0_490,plain,
( ~ isCountable0(X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_331]) ).
cnf(i_0_491,plain,
~ isCountable0(slbdtrb0(sz00)),
inference(scs_inference,[],[i_0_293,i_0_338,i_0_340,i_0_353,i_0_359,i_0_360,i_0_361,i_0_346,i_0_366,i_0_302,i_0_304,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436,i_0_411,i_0_413,i_0_416,i_0_316,i_0_317,i_0_331,i_0_334]) ).
cnf(i_0_492,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_493,plain,
aSet0(slbdtsldtrb0(xO,xi)),
inference(scs_inference,[],[i_0_293,i_0_338,i_0_340,i_0_353,i_0_359,i_0_360,i_0_361,i_0_346,i_0_366,i_0_302,i_0_304,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436,i_0_411,i_0_413,i_0_416,i_0_316,i_0_317,i_0_331,i_0_334,i_0_449]) ).
cnf(i_0_494,plain,
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| aSet0(slbdtsldtrb0(X2,X1)) ),
inference(rename_variables,[],[i_0_449]) ).
cnf(i_0_495,plain,
aSubsetOf0(slcrc0,xO),
inference(scs_inference,[],[i_0_293,i_0_456,i_0_338,i_0_340,i_0_353,i_0_359,i_0_360,i_0_361,i_0_459,i_0_346,i_0_366,i_0_302,i_0_304,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436,i_0_411,i_0_413,i_0_416,i_0_316,i_0_317,i_0_331,i_0_334,i_0_449,i_0_266]) ).
cnf(i_0_496,plain,
~ aElementOf0(X1,slcrc0),
inference(rename_variables,[],[i_0_456]) ).
cnf(i_0_497,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_498,plain,
$false,
inference(scs_inference,[],[i_0_293,i_0_456,i_0_338,i_0_340,i_0_344,i_0_353,i_0_359,i_0_360,i_0_361,i_0_459,i_0_346,i_0_366,i_0_302,i_0_304,i_0_371,i_0_308,i_0_309,i_0_315,i_0_322,i_0_329,i_0_330,i_0_347,i_0_455,i_0_415,i_0_436,i_0_411,i_0_413,i_0_416,i_0_316,i_0_317,i_0_331,i_0_334,i_0_449,i_0_266,i_0_222]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM603+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n021.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:50:40 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.44/1.61 % Version : CSE_E---1.7
% 0.44/1.61 % Problem : theBenchmark.p
% 0.44/1.61 % SZS status Theorem for theBenchmark.p
% 0.44/1.61 % SZS output start CNFRefutation
% See solution above
% 0.65/1.81 % Total time : 1.271s
%------------------------------------------------------------------------------