%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM595+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:26:09 PM UTC 2026
% Result : Theorem 48.76s 14.84s
% Output : CNFRefutation 48.76s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f852ERROR: Could not build tree for root c_27262ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f11,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(f18,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aElement0(X0) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDiffCons) ).
fof(f19,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCConsSet) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( X0 = szszuzczcdt0(X1)
& aElementOf0(X1,szNzAzT0) )
| X0 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> X0 != szszuzczcdt0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f39,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
fof(f45,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aSubsetOf0(X1,X0)
& isFinite0(X0) )
=> sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSub) ).
fof(f46,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ( ( sdtlseqdt0(X1,sbrdtbr0(X0))
& isFinite0(X0) )
=> ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSubEx) ).
fof(f47,axiom,
! [X0] :
( ( X0 != slcrc0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(f48,axiom,
! [X0] :
( ( X0 != slcrc0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMax) ).
fof(f49,axiom,
! [X0,X1] :
( ( X1 != slcrc0
& X0 != slcrc0
& aSubsetOf0(X1,szNzAzT0)
& aSubsetOf0(X0,szNzAzT0) )
=> ( ( aElementOf0(szmzizndt0(X1),X0)
& aElementOf0(szmzizndt0(X0),X1) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMinMin) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(f51,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> isFinite0(slbdtrb0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegFin) ).
fof(f52,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(f53,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegSucc) ).
fof(f54,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegLess) ).
fof(f55,axiom,
! [X0] :
( ( isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFinSubSeg) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f58,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelFSet) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slbdtsldtrb0(X0,X1) != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
fof(f60,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ! [X1] :
( ( X1 != sz00
& aElementOf0(X1,szNzAzT0) )
=> isCountable0(slbdtsldtrb0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelCSet) ).
fof(f61,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1,X2] :
( ( X0 != sz00
& aSet0(X2)
& aSet0(X1) )
=> ( ( slbdtsldtrb0(X1,X0) != slcrc0
& aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0)) )
=> aSubsetOf0(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelSub) ).
fof(f62,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( ( isFinite0(X2)
& aSubsetOf0(X2,slbdtsldtrb0(X0,X1)) )
=> ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelExtra) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
fof(f65,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElement0(sdtlpdtrp0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgElm) ).
fof(f66,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> ! [X2] :
( X2 = sdtlbdtrb0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPtt) ).
fof(f67,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPttSet) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( X2 = sdtlcdtrc0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgRng) ).
fof(f70,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( X2 = sdtexdt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X1)
=> sdtlpdtrp0(X2,X3) = sdtlpdtrp0(X0,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefRst) ).
fof(f71,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,szDzozmdt0(X0)) )
=> ( ! [X2,X3] :
( ( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0)) )
=> sdtlpdtrp0(X0,X2) != sdtlpdtrp0(X0,X3) )
=> isCountable0(sdtlcdtrc0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgCount) ).
fof(f72,axiom,
! [X0] :
( aFunction0(X0)
=> ( ( isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
& isCountable0(szDzozmdt0(X0)) )
=> ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDirichlet) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X1] :
( sdtlpdtrp0(xc,X1) = X0
& aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f77,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( aSubsetOf0(X1,szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(X1) ) ) )
=> ! [X2] :
( ( ( ( ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(X2,szDzozmdt0(X2)))
<=> ? [X4] :
( sdtlpdtrp0(X2,X4) = X3
& aElementOf0(X4,szDzozmdt0(X2)) ) )
& aSet0(sdtlcdtrc0(X2,szDzozmdt0(X2))) )
=> ( aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
| ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(X2,szDzozmdt0(X2)))
=> aElementOf0(X3,xT) ) ) )
& ( szDzozmdt0(X2) = slbdtsldtrb0(X1,X0)
| ! [X3] :
( ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X1) )
& aSet0(X3) )
=> aElementOf0(X3,szDzozmdt0(X2)) )
& ( aElementOf0(X3,szDzozmdt0(X2))
=> ( sbrdtbr0(X3) = X0
& ( aSubsetOf0(X3,X1)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X1) )
& aSet0(X3) ) ) ) ) ) )
& aFunction0(X2) )
=> ( iLess0(X0,xK)
=> ? [X3] :
( ? [X4] :
( ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(X4,X0))
| ( sbrdtbr0(X5) = X0
& ( aSubsetOf0(X5,X4)
| ( ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X4) )
& aSet0(X5) ) ) ) )
=> sdtlpdtrp0(X2,X5) = X3 )
& isCountable0(X4)
& aSubsetOf0(X4,X1)
& ! [X5] :
( aElementOf0(X5,X4)
=> aElementOf0(X5,X1) )
& aSet0(X4) )
& aElementOf0(X3,xT) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3398) ).
fof(f79,axiom,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).
fof(f80,axiom,
( szszuzczcdt0(xk) = xK
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X1 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f84,axiom,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ~ ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3821) ).
fof(f85,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X2,xS) )
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( X2 = szmzizndt0(sdtlpdtrp0(xN,X0))
| aElementOf0(X2,X1) )
& aElement0(X2) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3965) ).
fof(f86,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( X2 = szmzizndt0(sdtlpdtrp0(xN,X0))
| aElementOf0(X2,X1) )
& aElement0(X2) ) )
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( ( ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) )
=> aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) )
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X1 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(f87,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X1,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
& aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4182) ).
fof(f88,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X2 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) ) ) )
=> ! [X2] :
( ( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,X1)
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) )
& aSet0(X2) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4331) ).
fof(f89,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ? [X2] :
( ! [X3] :
( ( ( aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ( sbrdtbr0(X3) = xk
& ( aSubsetOf0(X3,X2)
| ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) ) ) ) )
& aSet0(X3) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1 )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X3 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4411) ).
fof(f90,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ! [X2] :
( ( ( aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X2) = xk
& ( aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X2) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 )
& aElementOf0(X1,xT) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4618) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(f92,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X1) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
fof(f93,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( sdtlpdtrp0(xd,X1) = X0
& aElementOf0(X1,szDzozmdt0(xd)) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4769) ).
fof(f94,axiom,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ? [X0] :
( sdtlpdtrp0(xd,X0) = xx
& aElementOf0(X0,szDzozmdt0(xd)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4781) ).
fof(f95,axiom,
( sdtlpdtrp0(xd,xi) = xx
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4806) ).
fof(f96,axiom,
( ~ ~ ? [X0] : aElementOf0(X0,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,xX) )
& ( aElementOf0(X0,xX)
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
& aSet0(xX) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4826) ).
fof(f97,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f98,negated_conjecture,
~ aElementOf0(xx,xT),
inference(negated_conjecture,[status(cth)],[f97]) ).
fof(f106,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X5] :
( aElementOf0(X5,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X5,xT) )
& ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X4] :
( sdtlpdtrp0(xc,X4) = X3
& aElementOf0(X4,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xS)
| ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
inference(rectify,[],[f76]) ).
fof(f107,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( aSubsetOf0(X1,szNzAzT0)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSet0(X1) ) ) )
=> ! [X3] :
( ( ( ( ! [X7] :
( aElementOf0(X7,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X8] :
( sdtlpdtrp0(X3,X8) = X7
& aElementOf0(X8,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3))) )
=> ( aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
| ! [X9] :
( aElementOf0(X9,sdtlcdtrc0(X3,szDzozmdt0(X3)))
=> aElementOf0(X9,xT) ) ) )
& ( slbdtsldtrb0(X1,X0) = szDzozmdt0(X3)
| ! [X4] :
( ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1)
& ! [X6] :
( aElementOf0(X6,X4)
=> aElementOf0(X6,X1) )
& aSet0(X4) )
=> aElementOf0(X4,szDzozmdt0(X3)) )
& ( aElementOf0(X4,szDzozmdt0(X3))
=> ( sbrdtbr0(X4) = X0
& ( aSubsetOf0(X4,X1)
| ( ! [X5] :
( aElementOf0(X5,X4)
=> aElementOf0(X5,X1) )
& aSet0(X4) ) ) ) ) ) )
& aFunction0(X3) )
=> ( iLess0(X0,xK)
=> ? [X10] :
( ? [X11] :
( ! [X13] :
( ( aElementOf0(X13,slbdtsldtrb0(X11,X0))
| ( sbrdtbr0(X13) = X0
& ( aSubsetOf0(X13,X11)
| ( ! [X14] :
( aElementOf0(X14,X13)
=> aElementOf0(X14,X11) )
& aSet0(X13) ) ) ) )
=> sdtlpdtrp0(X3,X13) = X10 )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X12] :
( aElementOf0(X12,X11)
=> aElementOf0(X12,X1) )
& aSet0(X11) )
& aElementOf0(X10,xT) ) ) ) ) ),
inference(rectify,[],[f77]) ).
fof(f108,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(rectify,[],[f81]) ).
fof(f109,plain,
! [X0,X1] :
( ( X0 != X1
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ~ ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ) ),
inference(rectify,[],[f84]) ).
fof(f110,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X7] :
( aElementOf0(X7,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
=> aElementOf0(X7,xS) )
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
inference(rectify,[],[f85]) ).
fof(f111,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X6] :
( ( ( ( ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( xk = sbrdtbr0(X6)
& ( aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X9] :
( aElementOf0(X9,X6)
=> aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X6) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X11
| aElementOf0(X11,X6) )
& aElement0(X11) ) )
& ! [X10] :
( aElementOf0(X10,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X3] :
( ( ( sbrdtbr0(X3) = xk
& ( aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X3) ) ) )
=> aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( sbrdtbr0(X3) = xk
& aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X3) ) ) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
inference(rectify,[],[f86]) ).
fof(f112,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
=> aElementOf0(X3,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
& aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
inference(rectify,[],[f87]) ).
fof(f113,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) ) ) )
=> ! [X5] :
( ( ( aElementOf0(X5,slbdtsldtrb0(X1,xk))
| ( sbrdtbr0(X5) = xk
& ( aSubsetOf0(X5,X1)
| ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X1) ) ) ) )
& aSet0(X5) )
=> ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,X5)
=> aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ) ),
inference(rectify,[],[f88]) ).
fof(f114,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ? [X1] :
( ? [X2] :
( ! [X6] :
( ( ( aElementOf0(X6,slbdtsldtrb0(X2,xk))
| ( xk = sbrdtbr0(X6)
& ( aSubsetOf0(X6,X2)
| ! [X7] :
( aElementOf0(X7,X6)
=> aElementOf0(X7,X2) ) ) ) )
& aSet0(X6) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = X1 )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,X2)
=> aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) ) ),
inference(rectify,[],[f89]) ).
fof(f115,plain,
( ~ ~ ? [X3] : aElementOf0(X3,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,xX) )
& ( aElementOf0(X0,xX)
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
& aSet0(xX) ),
inference(rectify,[],[f96]) ).
fof(f116,plain,
( ? [X3] : aElementOf0(X3,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,xX) )
& ( aElementOf0(X0,xX)
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
& aSet0(xX) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
~ aElementOf0(xx,xT),
inference(flattening,[],[f98]) ).
fof(f118,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] :
( X0 = slcrc0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f120,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f121,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| X0 != slcrc0 ),
inference(ennf_transformation,[],[f9]) ).
fof(f123,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| X0 != slcrc0 ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f125,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f126,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,X0)
| isFinite0(X1) ) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f128,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f13]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ),
inference(ennf_transformation,[],[f18]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ~ isCountable0(X1)
| ~ aSet0(X1)
| isCountable0(sdtpldt0(X1,X0)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f140,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ~ isCountable0(X1)
| ~ aSet0(X1)
| isCountable0(sdtpldt0(X1,X0)) ) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ~ isCountable0(X1)
| ~ aSet0(X1)
| isCountable0(sdtmndt0(X1,X0)) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f142,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ~ isCountable0(X1)
| ~ aSet0(X1)
| isCountable0(sdtmndt0(X1,X0)) ) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ~ isFinite0(X1)
| ~ aSet0(X1)
| isFinite0(sdtpldt0(X1,X0)) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f144,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ~ isFinite0(X1)
| ~ aSet0(X1)
| isFinite0(sdtpldt0(X1,X0)) ) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ~ isFinite0(X1)
| ~ aSet0(X1)
| isFinite0(sdtmndt0(X1,X0)) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f146,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ~ isFinite0(X1)
| ~ aSet0(X1)
| isFinite0(sdtmndt0(X1,X0)) ) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f148,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f26]) ).
fof(f149,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(flattening,[],[f148]) ).
fof(f150,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aElementOf0(X1,szNzAzT0) )
| X0 = sz00 ),
inference(ennf_transformation,[],[f27]) ).
fof(f151,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aElementOf0(X1,szNzAzT0) )
| X0 = sz00 ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| X0 != szszuzczcdt0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f153,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f154,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
inference(ennf_transformation,[],[f31]) ).
fof(f155,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f158,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f159,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f35]) ).
fof(f160,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f163]) ).
fof(f165,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f166,plain,
! [X0] :
( ~ aSet0(X0)
| aElement0(sbrdtbr0(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f167,plain,
! [X0] :
( ~ aSet0(X0)
| ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f168,plain,
! [X0] :
( ~ aSet0(X0)
| ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f169,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ! [X1] :
( ~ aElement0(X1)
| aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f170,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ! [X1] :
( ~ aElement0(X1)
| aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ),
inference(flattening,[],[f169]) ).
fof(f171,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f172,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0) ) ),
inference(flattening,[],[f171]) ).
fof(f173,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f174,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f176,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ? [X2] :
( sbrdtbr0(X2) = X1
& aSubsetOf0(X2,X0) ) ),
inference(flattening,[],[f175]) ).
fof(f177,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f178,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
inference(flattening,[],[f177]) ).
fof(f179,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f180,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
inference(flattening,[],[f179]) ).
fof(f181,plain,
! [X0,X1] :
( slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| szmzizndt0(X0) = szmzizndt0(X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f182,plain,
! [X0,X1] :
( slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| szmzizndt0(X0) = szmzizndt0(X1) ),
inference(flattening,[],[f181]) ).
fof(f183,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f184,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f185,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f186,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
inference(flattening,[],[f185]) ).
fof(f187,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f188,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( sdtlseqdt0(X0,X1)
<=> aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ) ),
inference(flattening,[],[f187]) ).
fof(f189,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f190,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ? [X1] :
( aSubsetOf0(X0,slbdtrb0(X1))
& aElementOf0(X1,szNzAzT0) ) ),
inference(flattening,[],[f189]) ).
fof(f191,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(ennf_transformation,[],[f56]) ).
fof(f192,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f193,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| isFinite0(slbdtsldtrb0(X0,X1)) ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f195,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| isFinite0(slbdtsldtrb0(X0,X1)) ) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0] :
( isFinite0(X0)
| ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| slbdtsldtrb0(X0,X1) != slcrc0 ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f197,plain,
! [X0] :
( isFinite0(X0)
| ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| slbdtsldtrb0(X0,X1) != slcrc0 ) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ! [X1] :
( sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| isCountable0(slbdtsldtrb0(X0,X1)) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f199,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ! [X1] :
( sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| isCountable0(slbdtsldtrb0(X0,X1)) ) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1,X2] :
( sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| aSubsetOf0(X1,X2) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f201,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1,X2] :
( sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| aSubsetOf0(X1,X2) ) ),
inference(flattening,[],[f200]) ).
fof(f202,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) ) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f203,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ? [X3] :
( aSubsetOf0(X2,slbdtsldtrb0(X3,X1))
& isFinite0(X3)
& aSubsetOf0(X3,X0) ) ) ),
inference(flattening,[],[f202]) ).
fof(f204,plain,
! [X0] :
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f205,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1)) ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f206,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| ! [X2] :
( X2 = sdtlbdtrb0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f207,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| ! [X2] :
( X2 = sdtlbdtrb0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ) ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
inference(ennf_transformation,[],[f67]) ).
fof(f209,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( X2 = sdtlcdtrc0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ) ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f211,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f212,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( X2 = sdtexdt0(X0,X1)
<=> ( ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlpdtrp0(X2,X3) = sdtlpdtrp0(X0,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) ) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f213,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ? [X2,X3] :
( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2) )
| isCountable0(sdtlcdtrc0(X0,X1)) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f214,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ? [X2,X3] :
( X2 != X3
& aElementOf0(X3,szDzozmdt0(X0))
& aElementOf0(X2,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = sdtlpdtrp0(X0,X2) )
| isCountable0(sdtlcdtrc0(X0,X1)) ) ),
inference(flattening,[],[f213]) ).
fof(f215,plain,
! [X0] :
( ~ aFunction0(X0)
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f216,plain,
! [X0] :
( ~ aFunction0(X0)
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| ( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
& aElement0(szDzizrdt0(X0)) ) ),
inference(flattening,[],[f215]) ).
fof(f217,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f218,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X5] :
( ~ aElementOf0(X5,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X5,xT) )
& ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X4] :
( sdtlpdtrp0(xc,X4) = X3
& aElementOf0(X4,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,xS) )
| ~ aSet0(X0) ) )
| aElementOf0(X0,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X0,szDzozmdt0(xc))
| ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
inference(ennf_transformation,[],[f106]) ).
fof(f219,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X5] :
( ~ aElementOf0(X5,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X5,xT) )
& ! [X3] :
( aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X4] :
( sdtlpdtrp0(xc,X4) = X3
& aElementOf0(X4,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,xS) )
| ~ aSet0(X0) ) )
| aElementOf0(X0,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X0,szDzozmdt0(xc))
| ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,szNzAzT0) )
| ~ aSet0(X1) ) )
| ! [X3] :
( ( ! [X7] :
( aElementOf0(X7,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X8] :
( sdtlpdtrp0(X3,X8) = X7
& aElementOf0(X8,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3)))
& ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X9] :
( aElementOf0(X9,sdtlcdtrc0(X3,szDzozmdt0(X3)))
& ~ aElementOf0(X9,xT) ) )
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X4] :
( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(X6,X1) )
& aSet0(X4)
& ~ aElementOf0(X4,szDzozmdt0(X3)) )
| ( aElementOf0(X4,szDzozmdt0(X3))
& ( sbrdtbr0(X4) != X0
| ( ~ aSubsetOf0(X4,X1)
& ( ? [X5] :
( aElementOf0(X5,X4)
& ~ aElementOf0(X5,X1) )
| ~ aSet0(X4) ) ) ) ) ) )
| ~ aFunction0(X3)
| ~ iLess0(X0,xK)
| ? [X10] :
( ? [X11] :
( ! [X13] :
( ( ~ aElementOf0(X13,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X13) != X0
| ( ~ aSubsetOf0(X13,X11)
& ( ? [X14] :
( aElementOf0(X14,X13)
& ~ aElementOf0(X14,X11) )
| ~ aSet0(X13) ) ) ) )
| sdtlpdtrp0(X3,X13) = X10 )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X12] :
( ~ aElementOf0(X12,X11)
| aElementOf0(X12,X1) )
& aSet0(X11) )
& aElementOf0(X10,xT) ) ) ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f221,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,szNzAzT0) )
| ~ aSet0(X1) ) )
| ! [X3] :
( ( ! [X7] :
( aElementOf0(X7,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X8] :
( sdtlpdtrp0(X3,X8) = X7
& aElementOf0(X8,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3)))
& ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X9] :
( aElementOf0(X9,sdtlcdtrc0(X3,szDzozmdt0(X3)))
& ~ aElementOf0(X9,xT) ) )
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X4] :
( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(X6,X1) )
& aSet0(X4)
& ~ aElementOf0(X4,szDzozmdt0(X3)) )
| ( aElementOf0(X4,szDzozmdt0(X3))
& ( sbrdtbr0(X4) != X0
| ( ~ aSubsetOf0(X4,X1)
& ( ? [X5] :
( aElementOf0(X5,X4)
& ~ aElementOf0(X5,X1) )
| ~ aSet0(X4) ) ) ) ) ) )
| ~ aFunction0(X3)
| ~ iLess0(X0,xK)
| ? [X10] :
( ? [X11] :
( ! [X13] :
( ( ~ aElementOf0(X13,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X13) != X0
| ( ~ aSubsetOf0(X13,X11)
& ( ? [X14] :
( aElementOf0(X14,X13)
& ~ aElementOf0(X14,X11) )
| ~ aSet0(X13) ) ) ) )
| sdtlpdtrp0(X3,X13) = X10 )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X12] :
( ~ aElementOf0(X12,X11)
| aElementOf0(X12,X1) )
& aSet0(X11) )
& aElementOf0(X10,xT) ) ) ) ),
inference(flattening,[],[f220]) ).
fof(f222,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
& ~ aElementOf0(X1,szNzAzT0) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(ennf_transformation,[],[f108]) ).
fof(f223,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
& ~ aElementOf0(X1,szNzAzT0) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(flattening,[],[f222]) ).
fof(f224,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f226,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f228,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( aElementOf0(X4,X1)
& ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) )
| ~ aSet0(X1)
| ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X7] :
( ~ aElementOf0(X7,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X7,xS) )
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
inference(ennf_transformation,[],[f110]) ).
fof(f230,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( aElementOf0(X4,X1)
& ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) )
| ~ aSet0(X1)
| ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X7] :
( ~ aElementOf0(X7,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X7,xS) )
& ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
inference(flattening,[],[f229]) ).
fof(f231,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ! [X6] :
( ( ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( xk != sbrdtbr0(X6)
| ( ~ aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( aElementOf0(X9,X6)
& ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) )
| ~ aSet0(X6)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X11
| aElementOf0(X11,X6) )
& aElement0(X11) ) )
& ! [X10] :
( ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X3] :
( ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X3) ) )
| aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( sbrdtbr0(X3) = xk
& aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X3) ) ) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
inference(ennf_transformation,[],[f111]) ).
fof(f232,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ! [X6] :
( ( ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( xk != sbrdtbr0(X6)
| ( ~ aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( aElementOf0(X9,X6)
& ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) )
| ~ aSet0(X6)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X11
| aElementOf0(X11,X6) )
& aElement0(X11) ) )
& ! [X10] :
( ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X3] :
( ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X3) ) )
| aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( sbrdtbr0(X3) = xk
& aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X3) ) ) )
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
inference(flattening,[],[f231]) ).
fof(f233,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X3] :
( ~ aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| aElementOf0(X3,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
<=> ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
& aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
inference(ennf_transformation,[],[f112]) ).
fof(f234,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ isCountable0(X1)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X4] :
( aElementOf0(X4,X1)
& ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X1) ) )
| ! [X5] :
( ( ~ aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) != xk
| ( ~ aSubsetOf0(X5,X1)
& ? [X6] :
( aElementOf0(X6,X5)
& ~ aElementOf0(X6,X1) ) ) ) )
| ~ aSet0(X5)
| ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( ~ aElementOf0(X9,X5)
| aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ) ),
inference(ennf_transformation,[],[f113]) ).
fof(f235,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ isCountable0(X1)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X4] :
( aElementOf0(X4,X1)
& ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X1) ) )
| ! [X5] :
( ( ~ aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) != xk
| ( ~ aSubsetOf0(X5,X1)
& ? [X6] :
( aElementOf0(X6,X5)
& ~ aElementOf0(X6,X1) ) ) ) )
| ~ aSet0(X5)
| ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( ~ aElementOf0(X9,X5)
| aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ) ),
inference(flattening,[],[f234]) ).
fof(f236,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( ? [X2] :
( ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(X2,xk))
& ( xk != sbrdtbr0(X6)
| ( ~ aSubsetOf0(X6,X2)
& ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,X2) ) ) ) )
| ~ aSet0(X6)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = X1 )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( ~ aElementOf0(X5,X2)
| aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) ) ),
inference(ennf_transformation,[],[f114]) ).
fof(f237,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( ? [X2] :
( ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(X2,xk))
& ( xk != sbrdtbr0(X6)
| ( ~ aSubsetOf0(X6,X2)
& ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,X2) ) ) ) )
| ~ aSet0(X6)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = X1 )
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( ~ aElementOf0(X5,X2)
| aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X1,xT) ) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( ! [X2] :
( ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 )
& aElementOf0(X1,xT) ) ),
inference(ennf_transformation,[],[f90]) ).
fof(f239,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( ! [X2] :
( ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1 )
& aElementOf0(X1,xT) ) ),
inference(flattening,[],[f238]) ).
fof(f240,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
inference(ennf_transformation,[],[f91]) ).
fof(f241,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
| ~ aSet0(X1)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f242,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
| ~ aSet0(X1)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(flattening,[],[f241]) ).
fof(f243,plain,
( ? [X3] : aElementOf0(X3,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X0] :
( ( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
| ~ aSet0(X0) ) )
| aElementOf0(X0,xX) )
& ( ~ aElementOf0(X0,xX)
| ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
& aSet0(xX) ),
inference(ennf_transformation,[],[f116]) ).
fof(f244,plain,
( ? [X3] : aElementOf0(X3,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X0] :
( ( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
| ~ aSet0(X0) ) )
| aElementOf0(X0,xX) )
& ( ~ aElementOf0(X0,xX)
| ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
& aSet0(xX) ),
inference(flattening,[],[f243]) ).
fof(f278,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f279,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(flattening,[],[f278]) ).
fof(f280,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(rectify,[],[f279]) ).
fof(f281,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) ) )
& ( aElementOf0(sK25(X0),X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X1,sK25(X0))],[f280]) ).
fof(f282,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f124]) ).
fof(f283,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(flattening,[],[f282]) ).
fof(f284,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(rectify,[],[f283]) ).
fof(f285,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ( aElementOf0(sK26(X0,X1),X1)
& ~ aElementOf0(sK26(X0,X1),X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0,X1))],[f284]) ).
fof(f286,plain,
! [X1,X0] :
( ~ sP1(X1,X0)
| ! [X2] :
( ( sdtpldt0(X0,X1) != X2
| sP0(X2,X0,X1) )
& ( ~ sP0(X2,X0,X1)
| X2 = sdtpldt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f246]) ).
fof(f287,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ! [X2] :
( ( sdtpldt0(X1,X0) != X2
| sP0(X2,X1,X0) )
& ( ~ sP0(X2,X1,X0)
| sdtpldt0(X1,X0) = X2 ) ) ),
inference(rectify,[],[f286]) ).
fof(f292,plain,
! [X1,X0] :
( ~ sP3(X1,X0)
| ! [X2] :
( ( sdtmndt0(X0,X1) != X2
| sP2(X2,X0,X1) )
& ( ~ sP2(X2,X0,X1)
| X2 = sdtmndt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f249]) ).
fof(f293,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| ! [X2] :
( ( sdtmndt0(X1,X0) != X2
| sP2(X2,X1,X0) )
& ( ~ sP2(X2,X1,X0)
| sdtmndt0(X1,X0) = X2 ) ) ),
inference(rectify,[],[f292]) ).
fof(f298,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(sK29(X0)) = X0
& aElementOf0(sK29(X0),szNzAzT0) )
| X0 = sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X1,sK29(X0))],[f151]) ).
fof(f299,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( ( ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f300,plain,
! [X0] :
( ~ aSet0(X0)
| ( ( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0) )
& ( ~ isFinite0(X0)
| aElementOf0(sbrdtbr0(X0),szNzAzT0) ) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f301,plain,
! [X0] :
( ~ aSet0(X0)
| ( ( sz00 != sbrdtbr0(X0)
| X0 = slcrc0 )
& ( slcrc0 != X0
| sbrdtbr0(X0) = sz00 ) ) ),
inference(nnf_transformation,[],[f168]) ).
fof(f302,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| ( sbrdtbr0(sK30(X0,X1)) = X1
& aSubsetOf0(sK30(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X2,sK30(X0,X1))],[f176]) ).
fof(f303,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzizndt0(X0) != X1
| ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) )
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X1,X2) )
| ~ aElementOf0(X1,X0)
| X1 = szmzizndt0(X0) ) ) ),
inference(nnf_transformation,[],[f178]) ).
fof(f304,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzizndt0(X0) != X1
| ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) )
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X1,X2) )
| ~ aElementOf0(X1,X0)
| X1 = szmzizndt0(X0) ) ) ),
inference(flattening,[],[f303]) ).
fof(f305,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzizndt0(X0) != X1
| ( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X1,X3) )
& aElementOf0(X1,X0) ) )
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X1,X2) )
| ~ aElementOf0(X1,X0)
| X1 = szmzizndt0(X0) ) ) ),
inference(rectify,[],[f304]) ).
fof(f306,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzizndt0(X0) != X1
| ( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X1,X3) )
& aElementOf0(X1,X0) ) )
& ( ( aElementOf0(sK31(X0,X1),X0)
& ~ sdtlseqdt0(X1,sK31(X0,X1)) )
| ~ aElementOf0(X1,X0)
| X1 = szmzizndt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X2,sK31(X0,X1))],[f305]) ).
fof(f307,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzazxdt0(X0) != X1
| ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) )
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X2,X1) )
| ~ aElementOf0(X1,X0)
| X1 = szmzazxdt0(X0) ) ) ),
inference(nnf_transformation,[],[f180]) ).
fof(f308,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzazxdt0(X0) != X1
| ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) )
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X2,X1) )
| ~ aElementOf0(X1,X0)
| X1 = szmzazxdt0(X0) ) ) ),
inference(flattening,[],[f307]) ).
fof(f309,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzazxdt0(X0) != X1
| ( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X3,X1) )
& aElementOf0(X1,X0) ) )
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X2,X1) )
| ~ aElementOf0(X1,X0)
| X1 = szmzazxdt0(X0) ) ) ),
inference(rectify,[],[f308]) ).
fof(f310,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzazxdt0(X0) != X1
| ( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X3,X1) )
& aElementOf0(X1,X0) ) )
& ( ( aElementOf0(sK32(X0,X1),X0)
& ~ sdtlseqdt0(sK32(X0,X1),X1) )
| ~ aElementOf0(X1,X0)
| X1 = szmzazxdt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X2,sK32(X0,X1))],[f309]) ).
fof(f311,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X2] :
( ( ~ aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(nnf_transformation,[],[f183]) ).
fof(f312,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X2] :
( ( ~ aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(flattening,[],[f311]) ).
fof(f313,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X3] :
( ( ~ aElementOf0(X3,X1)
| ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(rectify,[],[f312]) ).
fof(f314,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X3] :
( ( ~ aElementOf0(X3,X1)
| ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,X1) ) )
& aSet0(X1) ) )
& ( ( ( aElementOf0(sK33(X0,X1),X1)
| ( sdtlseqdt0(szszuzczcdt0(sK33(X0,X1)),X0)
& aElementOf0(sK33(X0,X1),szNzAzT0) ) )
& ( ~ aElementOf0(sK33(X0,X1),X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK33(X0,X1)),X0)
| ~ aElementOf0(sK33(X0,X1),szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X2,sK33(X0,X1))],[f313]) ).
fof(f315,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( ( ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) )
& ( ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) )
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) ) ),
inference(nnf_transformation,[],[f186]) ).
fof(f316,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( ( ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) )
& ( ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) )
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) ) ),
inference(flattening,[],[f315]) ).
fof(f317,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( ( ~ sdtlseqdt0(X0,X1)
| aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) )
& ( ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| sdtlseqdt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f188]) ).
fof(f318,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ( aSubsetOf0(X0,slbdtrb0(sK34(X0)))
& aElementOf0(sK34(X0),szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(X1,sK34(X0))],[f190]) ).
fof(f319,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( ( slbdtsldtrb0(X0,X1) != X2
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) ) )
| ~ aSet0(X2)
| X2 = slbdtsldtrb0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f193]) ).
fof(f320,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( ( slbdtsldtrb0(X0,X1) != X2
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) ) )
| ~ aSet0(X2)
| X2 = slbdtsldtrb0(X0,X1) ) ) ),
inference(flattening,[],[f319]) ).
fof(f321,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( ( slbdtsldtrb0(X0,X1) != X2
| ( ! [X4] :
( ( ~ aElementOf0(X4,X2)
| ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) ) )
& ( sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0)
| aElementOf0(X4,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) ) )
| ~ aSet0(X2)
| X2 = slbdtsldtrb0(X0,X1) ) ) ),
inference(rectify,[],[f320]) ).
fof(f322,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( ( slbdtsldtrb0(X0,X1) != X2
| ( ! [X4] :
( ( ~ aElementOf0(X4,X2)
| ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) ) )
& ( sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0)
| aElementOf0(X4,X2) ) )
& aSet0(X2) ) )
& ( ( ( aElementOf0(sK35(X0,X1,X2),X2)
| ( sbrdtbr0(sK35(X0,X1,X2)) = X1
& aSubsetOf0(sK35(X0,X1,X2),X0) ) )
& ( ~ aElementOf0(sK35(X0,X1,X2),X2)
| sbrdtbr0(sK35(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK35(X0,X1,X2),X0) ) )
| ~ aSet0(X2)
| X2 = slbdtsldtrb0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X3,sK35(X0,X1,X2))],[f321]) ).
fof(f323,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ! [X2] :
( ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| ( aSubsetOf0(X2,slbdtsldtrb0(sK36(X0,X1,X2),X1))
& isFinite0(sK36(X0,X1,X2))
& aSubsetOf0(sK36(X0,X1,X2),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X3,sK36(X0,X1,X2))],[f203]) ).
fof(f324,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| ! [X2] :
( ( sdtlbdtrb0(X0,X1) != X2
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& ( ~ aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) ) )
| ~ aSet0(X2)
| X2 = sdtlbdtrb0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f207]) ).
fof(f325,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| ! [X2] :
( ( sdtlbdtrb0(X0,X1) != X2
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& ( ~ aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) ) )
| ~ aSet0(X2)
| X2 = sdtlbdtrb0(X0,X1) ) ) ),
inference(flattening,[],[f324]) ).
fof(f326,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| ! [X2] :
( ( sdtlbdtrb0(X0,X1) != X2
| ( ! [X4] :
( ( ~ aElementOf0(X4,X2)
| ( sdtlpdtrp0(X0,X4) = X1
& aElementOf0(X4,szDzozmdt0(X0)) ) )
& ( sdtlpdtrp0(X0,X4) != X1
| ~ aElementOf0(X4,szDzozmdt0(X0))
| aElementOf0(X4,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& ( ~ aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) ) )
| ~ aSet0(X2)
| X2 = sdtlbdtrb0(X0,X1) ) ) ),
inference(rectify,[],[f325]) ).
fof(f327,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| ! [X2] :
( ( sdtlbdtrb0(X0,X1) != X2
| ( ! [X4] :
( ( ~ aElementOf0(X4,X2)
| ( sdtlpdtrp0(X0,X4) = X1
& aElementOf0(X4,szDzozmdt0(X0)) ) )
& ( sdtlpdtrp0(X0,X4) != X1
| ~ aElementOf0(X4,szDzozmdt0(X0))
| aElementOf0(X4,X2) ) )
& aSet0(X2) ) )
& ( ( ( aElementOf0(sK37(X0,X1,X2),X2)
| ( sdtlpdtrp0(X0,sK37(X0,X1,X2)) = X1
& aElementOf0(sK37(X0,X1,X2),szDzozmdt0(X0)) ) )
& ( ~ aElementOf0(sK37(X0,X1,X2),X2)
| sdtlpdtrp0(X0,sK37(X0,X1,X2)) != X1
| ~ aElementOf0(sK37(X0,X1,X2),szDzozmdt0(X0)) ) )
| ~ aSet0(X2)
| X2 = sdtlbdtrb0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X3,sK37(X0,X1,X2))],[f326]) ).
fof(f328,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( sdtlcdtrc0(X0,X1) != X2
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& ( ~ aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) ) )
| ~ aSet0(X2)
| X2 = sdtlcdtrc0(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f210]) ).
fof(f329,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( sdtlcdtrc0(X0,X1) != X2
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& ( ~ aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) ) )
| ~ aSet0(X2)
| X2 = sdtlcdtrc0(X0,X1) ) ) ) ),
inference(flattening,[],[f328]) ).
fof(f330,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( sdtlcdtrc0(X0,X1) != X2
| ( ! [X6] :
( ( ~ aElementOf0(X6,X2)
| ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) ) )
& ( ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) )
| aElementOf0(X6,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) ) )
& ( ~ aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) ) )
| ~ aSet0(X2)
| X2 = sdtlcdtrc0(X0,X1) ) ) ) ),
inference(rectify,[],[f329]) ).
fof(f331,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( sdtlcdtrc0(X0,X1) != X2
| ( ! [X6] :
( ( ~ aElementOf0(X6,X2)
| ( sdtlpdtrp0(X0,sK40(X0,X1,X6)) = X6
& aElementOf0(sK40(X0,X1,X6),X1) ) )
& ( ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) )
| aElementOf0(X6,X2) ) )
& aSet0(X2) ) )
& ( ( ( aElementOf0(sK38(X0,X1,X2),X2)
| ( sK38(X0,X1,X2) = sdtlpdtrp0(X0,sK39(X0,X1,X2))
& aElementOf0(sK39(X0,X1,X2),X1) ) )
& ( ~ aElementOf0(sK38(X0,X1,X2),X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != sK38(X0,X1,X2)
| ~ aElementOf0(X4,X1) ) ) )
| ~ aSet0(X2)
| X2 = sdtlcdtrc0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39,sK40]),skolemize(X3,sK38(X0,X1,X2)),skolemize(X5,sK39(X0,X1,X2)),skolemize(X8,sK40(X0,X1,X6))],[f330]) ).
fof(f332,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( sdtexdt0(X0,X1) != X2
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlpdtrp0(X2,X3) = sdtlpdtrp0(X0,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
& ( ? [X3] :
( aElementOf0(X3,X1)
& sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2)
| X2 = sdtexdt0(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f212]) ).
fof(f333,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( sdtexdt0(X0,X1) != X2
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlpdtrp0(X2,X3) = sdtlpdtrp0(X0,X3) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
& ( ? [X3] :
( aElementOf0(X3,X1)
& sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2)
| X2 = sdtexdt0(X0,X1) ) ) ) ),
inference(flattening,[],[f332]) ).
fof(f334,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( sdtexdt0(X0,X1) != X2
| ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X2,X4) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
& ( ? [X3] :
( aElementOf0(X3,X1)
& sdtlpdtrp0(X0,X3) != sdtlpdtrp0(X2,X3) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2)
| X2 = sdtexdt0(X0,X1) ) ) ) ),
inference(rectify,[],[f333]) ).
fof(f335,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ! [X2] :
( ( sdtexdt0(X0,X1) != X2
| ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X2,X4) )
& szDzozmdt0(X2) = X1
& aFunction0(X2) ) )
& ( ( aElementOf0(sK41(X0,X1,X2),X1)
& sdtlpdtrp0(X0,sK41(X0,X1,X2)) != sdtlpdtrp0(X2,sK41(X0,X1,X2)) )
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2)
| X2 = sdtexdt0(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X3,sK41(X0,X1,X2))],[f334]) ).
fof(f336,plain,
! [X0] :
( ~ aFunction0(X0)
| ! [X1] :
( ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ( sK42(X0) != sK43(X0)
& aElementOf0(sK43(X0),szDzozmdt0(X0))
& aElementOf0(sK42(X0),szDzozmdt0(X0))
& sdtlpdtrp0(X0,sK43(X0)) = sdtlpdtrp0(X0,sK42(X0)) )
| isCountable0(sdtlcdtrc0(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43]),skolemize(X2,sK42(X0)),skolemize(X3,sK43(X0))],[f214]) ).
fof(f337,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X5] :
( ~ aElementOf0(X5,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X5,xT) )
& ! [X3] :
( ( ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ? [X4] :
( sdtlpdtrp0(xc,X4) = X3
& aElementOf0(X4,szDzozmdt0(xc)) ) )
& ( ! [X4] :
( sdtlpdtrp0(xc,X4) != X3
| ~ aElementOf0(X4,szDzozmdt0(xc)) )
| aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,xS) )
| ~ aSet0(X0) ) )
| aElementOf0(X0,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X0,szDzozmdt0(xc))
| ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
inference(nnf_transformation,[],[f219]) ).
fof(f338,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X6] :
( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X6,xT) )
& ! [X3] :
( ( ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ? [X5] :
( sdtlpdtrp0(xc,X5) = X3
& aElementOf0(X5,szDzozmdt0(xc)) ) )
& ( ! [X4] :
( sdtlpdtrp0(xc,X4) != X3
| ~ aElementOf0(X4,szDzozmdt0(xc)) )
| aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,xS) )
| ~ aSet0(X0) ) )
| aElementOf0(X0,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X0,szDzozmdt0(xc))
| ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
inference(rectify,[],[f337]) ).
fof(f339,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X6] :
( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X6,xT) )
& ! [X3] :
( ( ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ( sdtlpdtrp0(xc,sK45(X3)) = X3
& aElementOf0(sK45(X3),szDzozmdt0(xc)) ) )
& ( ! [X4] :
( sdtlpdtrp0(xc,X4) != X3
| ~ aElementOf0(X4,szDzozmdt0(xc)) )
| aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xS)
& ( ( aElementOf0(sK44(X0),X0)
& ~ aElementOf0(sK44(X0),xS) )
| ~ aSet0(X0) ) )
| aElementOf0(X0,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X0,szDzozmdt0(xc))
| ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45]),skolemize(X2,sK44(X0)),skolemize(X5,sK45(X3))],[f338]) ).
fof(f340,plain,
! [X1,X0,X3] :
( ~ sP7(X1,X0,X3)
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X4] :
( sP4(X3,X4,X1,X0)
| ( aElementOf0(X4,szDzozmdt0(X3))
& ( sbrdtbr0(X4) != X0
| ( ~ aSubsetOf0(X4,X1)
& ( ? [X5] :
( aElementOf0(X5,X4)
& ~ aElementOf0(X5,X1) )
| ~ aSet0(X4) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f254]) ).
fof(f341,plain,
! [X0,X1,X2] :
( ~ sP7(X0,X1,X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
& ? [X3] :
( sP4(X2,X3,X0,X1)
| ( aElementOf0(X3,szDzozmdt0(X2))
& ( sbrdtbr0(X3) != X1
| ( ~ aSubsetOf0(X3,X0)
& ( ? [X4] :
( aElementOf0(X4,X3)
& ~ aElementOf0(X4,X0) )
| ~ aSet0(X3) ) ) ) ) ) ) ),
inference(rectify,[],[f340]) ).
fof(f342,plain,
! [X0,X1,X2] :
( ~ sP7(X0,X1,X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2)
& ( sP4(X2,sK46(X0,X1,X2),X0,X1)
| ( aElementOf0(sK46(X0,X1,X2),szDzozmdt0(X2))
& ( sbrdtbr0(sK46(X0,X1,X2)) != X1
| ( ~ aSubsetOf0(sK46(X0,X1,X2),X0)
& ( ( aElementOf0(sK47(X0,X1,X2),sK46(X0,X1,X2))
& ~ aElementOf0(sK47(X0,X1,X2),X0) )
| ~ aSet0(sK46(X0,X1,X2)) ) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46,sK47]),skolemize(X3,sK46(X0,X1,X2)),skolemize(X4,sK47(X0,X1,X2))],[f341]) ).
fof(f343,plain,
! [X3] :
( ~ sP6(X3)
| ( ! [X7] :
( ( ~ aElementOf0(X7,sdtlcdtrc0(X3,szDzozmdt0(X3)))
| ? [X8] :
( sdtlpdtrp0(X3,X8) = X7
& aElementOf0(X8,szDzozmdt0(X3)) ) )
& ( ! [X8] :
( sdtlpdtrp0(X3,X8) != X7
| ~ aElementOf0(X8,szDzozmdt0(X3)) )
| aElementOf0(X7,sdtlcdtrc0(X3,szDzozmdt0(X3))) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3)))
& ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X9] :
( aElementOf0(X9,sdtlcdtrc0(X3,szDzozmdt0(X3)))
& ~ aElementOf0(X9,xT) ) ) ),
inference(nnf_transformation,[],[f253]) ).
fof(f344,plain,
! [X0] :
( ~ sP6(X0)
| ( ! [X2] :
( ( ~ aElementOf0(X2,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ? [X4] :
( sdtlpdtrp0(X0,X4) = X2
& aElementOf0(X4,szDzozmdt0(X0)) ) )
& ( ! [X3] :
( sdtlpdtrp0(X0,X3) != X2
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X2,sdtlcdtrc0(X0,szDzozmdt0(X0))) ) )
& aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
& ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
& ? [X1] :
( aElementOf0(X1,sdtlcdtrc0(X0,szDzozmdt0(X0)))
& ~ aElementOf0(X1,xT) ) ) ),
inference(rectify,[],[f343]) ).
fof(f345,plain,
! [X0] :
( ~ sP6(X0)
| ( ! [X2] :
( ( ~ aElementOf0(X2,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ( sdtlpdtrp0(X0,sK49(X0,X2)) = X2
& aElementOf0(sK49(X0,X2),szDzozmdt0(X0)) ) )
& ( ! [X3] :
( sdtlpdtrp0(X0,X3) != X2
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X2,sdtlcdtrc0(X0,szDzozmdt0(X0))) ) )
& aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
& ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT)
& aElementOf0(sK48(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
& ~ aElementOf0(sK48(X0),xT) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48,sK49]),skolemize(X1,sK48(X0)),skolemize(X4,sK49(X0,X2))],[f344]) ).
fof(f346,plain,
! [X1,X10,X3,X0] :
( ~ sP5(X1,X10,X3,X0)
| ? [X11] :
( ! [X13] :
( ( ~ aElementOf0(X13,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X13) != X0
| ( ~ aSubsetOf0(X13,X11)
& ( ? [X14] :
( aElementOf0(X14,X13)
& ~ aElementOf0(X14,X11) )
| ~ aSet0(X13) ) ) ) )
| sdtlpdtrp0(X3,X13) = X10 )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X12] :
( ~ aElementOf0(X12,X11)
| aElementOf0(X12,X1) )
& aSet0(X11) ) ),
inference(nnf_transformation,[],[f252]) ).
fof(f347,plain,
! [X0,X1,X2,X3] :
( ~ sP5(X0,X1,X2,X3)
| ? [X4] :
( ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(X4,X3))
& ( sbrdtbr0(X6) != X3
| ( ~ aSubsetOf0(X6,X4)
& ( ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,X4) )
| ~ aSet0(X6) ) ) ) )
| sdtlpdtrp0(X2,X6) = X1 )
& isCountable0(X4)
& aSubsetOf0(X4,X0)
& ! [X5] :
( ~ aElementOf0(X5,X4)
| aElementOf0(X5,X0) )
& aSet0(X4) ) ),
inference(rectify,[],[f346]) ).
fof(f348,plain,
! [X0,X1,X2,X3] :
( ~ sP5(X0,X1,X2,X3)
| ( ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(sK50(X0,X1,X2,X3),X3))
& ( sbrdtbr0(X6) != X3
| ( ~ aSubsetOf0(X6,sK50(X0,X1,X2,X3))
& ( ( aElementOf0(sK51(X0,X1,X2,X3,X6),X6)
& ~ aElementOf0(sK51(X0,X1,X2,X3,X6),sK50(X0,X1,X2,X3)) )
| ~ aSet0(X6) ) ) ) )
| sdtlpdtrp0(X2,X6) = X1 )
& isCountable0(sK50(X0,X1,X2,X3))
& aSubsetOf0(sK50(X0,X1,X2,X3),X0)
& ! [X5] :
( ~ aElementOf0(X5,sK50(X0,X1,X2,X3))
| aElementOf0(X5,X0) )
& aSet0(sK50(X0,X1,X2,X3)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50,sK51]),skolemize(X4,sK50(X0,X1,X2,X3)),skolemize(X7,sK51(X0,X1,X2,X3,X6))],[f347]) ).
fof(f351,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X4] :
( aElementOf0(X4,X1)
& ~ aElementOf0(X4,szNzAzT0) )
| ~ aSet0(X1) ) )
| ! [X2] :
( sP6(X2)
| sP7(X1,X0,X2)
| ~ aFunction0(X2)
| ~ iLess0(X0,xK)
| ? [X3] :
( sP5(X1,X3,X2,X0)
& aElementOf0(X3,xT) ) ) ) ),
inference(rectify,[],[f255]) ).
fof(f352,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ( aElementOf0(sK53(X1),X1)
& ~ aElementOf0(sK53(X1),szNzAzT0) )
| ~ aSet0(X1) ) )
| ! [X2] :
( sP6(X2)
| sP7(X1,X0,X2)
| ~ aFunction0(X2)
| ~ iLess0(X0,xK)
| ( sP5(X1,sK52(X0,X1,X2),X2,X0)
& aElementOf0(sK52(X0,X1,X2),xT) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52,sK53]),skolemize(X3,sK52(X0,X1,X2)),skolemize(X4,sK53(X1))],[f351]) ).
fof(f353,plain,
! [X0] :
( ~ sP9(X0)
| ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP8(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
inference(nnf_transformation,[],[f257]) ).
fof(f354,plain,
! [X0] :
( ~ sP9(X0)
| ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP8(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
inference(rectify,[],[f353]) ).
fof(f358,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ( aElementOf0(sK54(X0),sdtlpdtrp0(xN,X0))
& ~ aElementOf0(sK54(X0),szNzAzT0) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| sP9(X0) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(X1,sK54(X0))],[f258]) ).
fof(f359,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ? [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
& ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ),
inference(rectify,[],[f228]) ).
fof(f360,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& ( ( aElementOf0(sK55(X0,X1),sdtlpdtrp0(xN,X1))
& ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK55(X0,X1)) )
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X2,sK55(X0,X1))],[f359]) ).
fof(f361,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sP10(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( aElementOf0(X4,X1)
& ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ),
inference(nnf_transformation,[],[f261]) ).
fof(f362,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sP10(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ),
inference(rectify,[],[f361]) ).
fof(f363,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sP10(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK56(X0,X1),X1)
& ~ aElementOf0(sK56(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(X2,sK56(X0,X1))],[f362]) ).
fof(f364,plain,
! [X1,X0] :
( ~ sP11(X1,X0)
| ! [X6] :
( ( ~ aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& ~ aElementOf0(X6,X1) )
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(nnf_transformation,[],[f260]) ).
fof(f365,plain,
! [X1,X0] :
( ~ sP11(X1,X0)
| ! [X6] :
( ( ~ aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X6
& ~ aElementOf0(X6,X1) )
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(flattening,[],[f364]) ).
fof(f366,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ! [X2] :
( ( ~ aElementOf0(X2,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( ( szmzizndt0(sdtlpdtrp0(xN,X1)) = X2
| aElementOf0(X2,X0) )
& aElement0(X2) ) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X1)) != X2
& ~ aElementOf0(X2,X0) )
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ),
inference(rectify,[],[f365]) ).
fof(f370,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( sP12(X0,X1)
| ~ aSet0(X1)
| ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X3] :
( ~ aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X3,xS) )
& sP11(X1,X0)
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
inference(rectify,[],[f262]) ).
fof(f371,plain,
! [X0] :
( ~ sP17(X0)
| ! [X2] :
( ( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aElement0(X2)
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(nnf_transformation,[],[f267]) ).
fof(f372,plain,
! [X0] :
( ~ sP17(X0)
| ! [X2] :
( ( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aElement0(X2)
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(flattening,[],[f371]) ).
fof(f373,plain,
! [X0] :
( ~ sP17(X0)
| ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(rectify,[],[f372]) ).
fof(f374,plain,
! [X0] :
( ~ sP16(X0)
| ! [X3] :
( ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X3) ) )
| aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( sbrdtbr0(X3) = xk
& aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X3) ) ) ) ),
inference(nnf_transformation,[],[f266]) ).
fof(f375,plain,
! [X0] :
( ~ sP16(X0)
| ! [X1] :
( ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X3] :
( aElementOf0(X3,X1)
& ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X1) ) )
| aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) ) ),
inference(rectify,[],[f374]) ).
fof(f376,plain,
! [X0] :
( ~ sP16(X0)
| ! [X1] :
( ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ( aElementOf0(sK57(X0,X1),X1)
& ~ aElementOf0(sK57(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X1) ) )
| aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(X3,sK57(X0,X1))],[f375]) ).
fof(f377,plain,
! [X0] :
( ~ sP15(X0)
| ! [X6] :
( sP14(X0,X6)
| ~ aSet0(X6)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( ( ~ aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X11
| aElementOf0(X11,X6) )
& aElement0(X11) ) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X11
& ~ aElementOf0(X11,X6) )
| ~ aElement0(X11)
| aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ! [X10] :
( ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
inference(nnf_transformation,[],[f265]) ).
fof(f378,plain,
! [X0] :
( ~ sP15(X0)
| ! [X6] :
( sP14(X0,X6)
| ~ aSet0(X6)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( ( ~ aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X11
| aElementOf0(X11,X6) )
& aElement0(X11) ) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X11
& ~ aElementOf0(X11,X6) )
| ~ aElement0(X11)
| aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ! [X10] :
( ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
inference(flattening,[],[f377]) ).
fof(f379,plain,
! [X0] :
( ~ sP15(X0)
| ! [X1] :
( sP14(X0,X1)
| ~ aSet0(X1)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| aElementOf0(X3,X1) )
& aElement0(X3) ) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
inference(rectify,[],[f378]) ).
fof(f380,plain,
! [X0,X6] :
( ~ sP14(X0,X6)
| ( ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sP13(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( xk != sbrdtbr0(X6)
| ( ~ aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( aElementOf0(X9,X6)
& ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ),
inference(nnf_transformation,[],[f264]) ).
fof(f381,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sP13(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ),
inference(rectify,[],[f380]) ).
fof(f382,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sP13(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(sK58(X0,X1),X1)
& ~ aElementOf0(sK58(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X2,sK58(X0,X1))],[f381]) ).
fof(f386,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X3] :
( ~ aElementOf0(X3,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| aElementOf0(X3,xT) )
& ! [X1] :
( ( ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = X1
& aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
| aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
inference(nnf_transformation,[],[f233]) ).
fof(f387,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X4] :
( ~ aElementOf0(X4,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| aElementOf0(X4,xT) )
& ! [X1] :
( ( ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ? [X3] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X3) = X1
& aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
| aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
inference(rectify,[],[f386]) ).
fof(f388,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
& ! [X4] :
( ~ aElementOf0(X4,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| aElementOf0(X4,xT) )
& ! [X1] :
( ( ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),sK59(X0,X1)) = X1
& aElementOf0(sK59(X0,X1),szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ( ! [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
| aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(X3,sK59(X0,X1))],[f387]) ).
fof(f389,plain,
! [X1,X0] :
( ~ sP21(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sP18(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X4] :
( aElementOf0(X4,X1)
& ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X1) ) ) ),
inference(nnf_transformation,[],[f272]) ).
fof(f390,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& sP18(X1)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| ~ aSet0(X0) ) ) ),
inference(rectify,[],[f389]) ).
fof(f391,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& sP18(X1)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ( ( aElementOf0(sK60(X0,X1),X0)
& ~ aElementOf0(sK60(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| ~ aSet0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(X2,sK60(X0,X1))],[f390]) ).
fof(f392,plain,
! [X0,X5] :
( ~ sP20(X0,X5)
| ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( ~ aElementOf0(X9,X5)
| aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sP19(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
inference(nnf_transformation,[],[f271]) ).
fof(f393,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sP19(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
inference(rectify,[],[f392]) ).
fof(f394,plain,
! [X0] :
( ~ sP19(X0)
| ! [X8] :
( ( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(nnf_transformation,[],[f270]) ).
fof(f395,plain,
! [X0] :
( ~ sP19(X0)
| ! [X8] :
( ( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(flattening,[],[f394]) ).
fof(f396,plain,
! [X0] :
( ~ sP19(X0)
| ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(rectify,[],[f395]) ).
fof(f400,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ isCountable0(X1)
| sP21(X1,X0)
| ! [X2] :
( ( ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,X1)
& ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,X1) ) ) ) )
| ~ aSet0(X2)
| sP20(X0,X2) ) ) ),
inference(rectify,[],[f273]) ).
fof(f401,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ isCountable0(X1)
| sP21(X1,X0)
| ! [X2] :
( ( ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,X1)
& aElementOf0(sK61(X1,X2),X2)
& ~ aElementOf0(sK61(X1,X2),X1) ) ) )
| ~ aSet0(X2)
| sP20(X0,X2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(X3,sK61(X1,X2))],[f400]) ).
fof(f402,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| ? [X2] :
( sP22(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( ~ aElementOf0(X5,X2)
| aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& sP23(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
inference(nnf_transformation,[],[f276]) ).
fof(f403,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| ? [X2] :
( sP22(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( ~ aElementOf0(X4,X2)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& sP23(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
inference(rectify,[],[f402]) ).
fof(f404,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| ( sP22(X1,X0,sK62(X0,X1))
& isCountable0(sK62(X0,X1))
& aSubsetOf0(sK62(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( ~ aElementOf0(X4,sK62(X0,X1))
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sK62(X0,X1))
& sP23(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X2,sK62(X0,X1))],[f403]) ).
fof(f405,plain,
! [X0] :
( ~ sP23(X0)
| ! [X4] :
( ( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElement0(X4)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(nnf_transformation,[],[f275]) ).
fof(f406,plain,
! [X0] :
( ~ sP23(X0)
| ! [X4] :
( ( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElement0(X4)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(flattening,[],[f405]) ).
fof(f407,plain,
! [X0] :
( ~ sP23(X0)
| ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(rectify,[],[f406]) ).
fof(f411,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( sP24(X0,sK64(X0))
& aElementOf0(sK64(X0),xT) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(X1,sK64(X0))],[f277]) ).
fof(f412,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( ! [X2] :
( ( ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X2) != xk
| ( ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK66(X0,X2),X2)
& ~ aElementOf0(sK66(X0,X2),sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) )
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK65(X0) )
& aElementOf0(sK65(X0),xT) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65,sK66]),skolemize(X1,sK65(X0)),skolemize(X3,sK66(X0,X2))],[f239]) ).
fof(f413,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK67(X0,X1),X1)
& ~ aElementOf0(sK67(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) )
| ~ aSet0(X1)
| sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(X2,sK67(X0,X1))],[f242]) ).
fof(f414,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ? [X1] :
( sdtlpdtrp0(xd,X1) = X0
& aElementOf0(X1,szDzozmdt0(xd)) ) )
& ( ! [X1] :
( sdtlpdtrp0(xd,X1) != X0
| ~ aElementOf0(X1,szDzozmdt0(xd)) )
| aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(nnf_transformation,[],[f93]) ).
fof(f415,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ? [X2] :
( sdtlpdtrp0(xd,X2) = X0
& aElementOf0(X2,szDzozmdt0(xd)) ) )
& ( ! [X1] :
( sdtlpdtrp0(xd,X1) != X0
| ~ aElementOf0(X1,szDzozmdt0(xd)) )
| aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(rectify,[],[f414]) ).
fof(f416,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ( sdtlpdtrp0(xd,sK68(X0)) = X0
& aElementOf0(sK68(X0),szDzozmdt0(xd)) ) )
& ( ! [X1] :
( sdtlpdtrp0(xd,X1) != X0
| ~ aElementOf0(X1,szDzozmdt0(xd)) )
| aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(X2,sK68(X0))],[f415]) ).
fof(f417,plain,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& xx = sdtlpdtrp0(xd,sK69)
& aElementOf0(sK69,szDzozmdt0(xd)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(X0,sK69)],[f94]) ).
fof(f418,plain,
( aElementOf0(sK71,xX)
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ! [X0] :
( ( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ( ( aElementOf0(sK70(X0),X0)
& ~ aElementOf0(sK70(X0),sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
| ~ aSet0(X0) ) )
| aElementOf0(X0,xX) )
& ( ~ aElementOf0(X0,xX)
| ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSet0(X0) ) ) )
& aSet0(xX) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71]),skolemize(X2,sK70(X0)),skolemize(X3,sK71)],[f244]) ).
fof(f419,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f420,plain,
! [X2,X0] :
( slcrc0 != X0
| ~ aElementOf0(X2,X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f421,plain,
! [X0] :
( slcrc0 != X0
| aSet0(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f422,plain,
! [X0] :
( aElementOf0(sK25(X0),X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f281]) ).
fof(f423,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f424,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f425,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f426,plain,
! [X3,X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f427,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf_transformation,[],[f285]) ).
fof(f428,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aElementOf0(sK26(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f429,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(sK26(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f430,plain,
! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| isFinite0(X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f431,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f432,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f129]) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f434,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| sdtpldt0(X1,X0) != X2
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f435,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| ~ sP0(X2,X1,X0)
| sdtpldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f287]) ).
fof(f445,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1)
| sdtmndt0(X1,X0) != X2
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f447,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1)
| ~ sP2(X2,X1,X0)
| sdtmndt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f293]) ).
fof(f457,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f458,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f459,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ),
inference(cnf_transformation,[],[f138]) ).
fof(f460,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ isCountable0(X1)
| ~ aSet0(X1)
| isCountable0(sdtpldt0(X1,X0)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f461,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ isCountable0(X1)
| ~ aSet0(X1)
| isCountable0(sdtmndt0(X1,X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f462,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| isFinite0(sdtpldt0(X1,X0)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f463,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| isFinite0(sdtmndt0(X1,X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f464,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f465,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f466,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f467,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 != szszuzczcdt0(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f468,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f469,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f149]) ).
fof(f470,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK29(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f298]) ).
fof(f471,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK29(X0),szNzAzT0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f298]) ).
fof(f472,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != X0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f473,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f474,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
inference(cnf_transformation,[],[f154]) ).
fof(f475,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(cnf_transformation,[],[f299]) ).
fof(f476,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f299]) ).
fof(f477,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f478,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f479,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f480,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f481,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f482,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f483,plain,
! [X0] :
( ~ aSet0(X0)
| aElement0(sbrdtbr0(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f484,plain,
! [X0] :
( ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f485,plain,
! [X0] :
( ~ aSet0(X0)
| ~ isFinite0(X0)
| aElementOf0(sbrdtbr0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f486,plain,
! [X0] :
( ~ aSet0(X0)
| sz00 != sbrdtbr0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f301]) ).
fof(f487,plain,
! [X0] :
( ~ aSet0(X0)
| slcrc0 != X0
| sz00 = sbrdtbr0(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f488,plain,
! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f489,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ),
inference(cnf_transformation,[],[f172]) ).
fof(f490,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| sdtlseqdt0(sbrdtbr0(X1),sbrdtbr0(X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f491,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| sbrdtbr0(sK30(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f302]) ).
fof(f492,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ sdtlseqdt0(X1,sbrdtbr0(X0))
| ~ isFinite0(X0)
| aSubsetOf0(sK30(X0,X1),X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f493,plain,
! [X3,X0,X1] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| szmzizndt0(X0) != X1
| ~ aElementOf0(X3,X0)
| sdtlseqdt0(X1,X3) ),
inference(cnf_transformation,[],[f306]) ).
fof(f494,plain,
! [X0,X1] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| szmzizndt0(X0) != X1
| aElementOf0(X1,X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f495,plain,
! [X0,X1] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK31(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| szmzizndt0(X0) = X1 ),
inference(cnf_transformation,[],[f306]) ).
fof(f496,plain,
! [X0,X1] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,sK31(X0,X1))
| ~ aElementOf0(X1,X0)
| szmzizndt0(X0) = X1 ),
inference(cnf_transformation,[],[f306]) ).
fof(f497,plain,
! [X3,X0,X1] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| szmzazxdt0(X0) != X1
| ~ aElementOf0(X3,X0)
| sdtlseqdt0(X3,X1) ),
inference(cnf_transformation,[],[f310]) ).
fof(f498,plain,
! [X0,X1] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| szmzazxdt0(X0) != X1
| aElementOf0(X1,X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f499,plain,
! [X0,X1] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK32(X0,X1),X0)
| ~ aElementOf0(X1,X0)
| szmzazxdt0(X0) = X1 ),
inference(cnf_transformation,[],[f310]) ).
fof(f500,plain,
! [X0,X1] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(sK32(X0,X1),X1)
| ~ aElementOf0(X1,X0)
| szmzazxdt0(X0) = X1 ),
inference(cnf_transformation,[],[f310]) ).
fof(f501,plain,
! [X0,X1] :
( slcrc0 = X1
| slcrc0 = X0
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| szmzizndt0(X0) = szmzizndt0(X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f502,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(szszuzczcdt0(X3),X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f503,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,szNzAzT0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f504,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) != X1
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f314]) ).
fof(f505,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) != X1
| aSet0(X1) ),
inference(cnf_transformation,[],[f314]) ).
fof(f506,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK33(X0,X1),X1)
| sdtlseqdt0(szszuzczcdt0(sK33(X0,X1)),X0)
| ~ aSet0(X1)
| slbdtrb0(X0) = X1 ),
inference(cnf_transformation,[],[f314]) ).
fof(f507,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK33(X0,X1),X1)
| aElementOf0(sK33(X0,X1),szNzAzT0)
| ~ aSet0(X1)
| slbdtrb0(X0) = X1 ),
inference(cnf_transformation,[],[f314]) ).
fof(f508,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK33(X0,X1),X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK33(X0,X1)),X0)
| ~ aElementOf0(sK33(X0,X1),szNzAzT0)
| ~ aSet0(X1)
| slbdtrb0(X0) = X1 ),
inference(cnf_transformation,[],[f314]) ).
fof(f509,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isFinite0(slbdtrb0(X0)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f510,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f511,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f316]) ).
fof(f513,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(X1))
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(cnf_transformation,[],[f316]) ).
fof(f514,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f317]) ).
fof(f515,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f317]) ).
fof(f516,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aSubsetOf0(X0,slbdtrb0(sK34(X0))) ),
inference(cnf_transformation,[],[f318]) ).
fof(f517,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(sK34(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f318]) ).
fof(f518,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(cnf_transformation,[],[f191]) ).
fof(f519,plain,
! [X2,X0,X1,X4] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X4,X2)
| sbrdtbr0(X4) = X1 ),
inference(cnf_transformation,[],[f322]) ).
fof(f520,plain,
! [X2,X0,X1,X4] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X4,X2)
| aSubsetOf0(X4,X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f521,plain,
! [X2,X0,X1,X4] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| slbdtsldtrb0(X0,X1) != X2
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f322]) ).
fof(f522,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| slbdtsldtrb0(X0,X1) != X2
| aSet0(X2) ),
inference(cnf_transformation,[],[f322]) ).
fof(f523,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| aElementOf0(sK35(X0,X1,X2),X2)
| sbrdtbr0(sK35(X0,X1,X2)) = X1
| ~ aSet0(X2)
| slbdtsldtrb0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f322]) ).
fof(f524,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| aElementOf0(sK35(X0,X1,X2),X2)
| aSubsetOf0(sK35(X0,X1,X2),X0)
| ~ aSet0(X2)
| slbdtsldtrb0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f322]) ).
fof(f525,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aElementOf0(sK35(X0,X1,X2),X2)
| sbrdtbr0(sK35(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK35(X0,X1,X2),X0)
| ~ aSet0(X2)
| slbdtsldtrb0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f322]) ).
fof(f526,plain,
! [X0,X1] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(slbdtsldtrb0(X0,X1)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f527,plain,
! [X0,X1] :
( isFinite0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| slcrc0 != slbdtsldtrb0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f528,plain,
! [X0,X1] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0)
| isCountable0(slbdtsldtrb0(X0,X1)) ),
inference(cnf_transformation,[],[f199]) ).
fof(f529,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| ~ aSet0(X2)
| ~ aSet0(X1)
| slcrc0 = slbdtsldtrb0(X1,X0)
| ~ aSubsetOf0(slbdtsldtrb0(X1,X0),slbdtsldtrb0(X2,X0))
| aSubsetOf0(X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f530,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X2,slbdtsldtrb0(sK36(X0,X1,X2),X1)) ),
inference(cnf_transformation,[],[f323]) ).
fof(f531,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| isFinite0(sK36(X0,X1,X2)) ),
inference(cnf_transformation,[],[f323]) ).
fof(f532,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ isFinite0(X2)
| ~ aSubsetOf0(X2,slbdtsldtrb0(X0,X1))
| aSubsetOf0(sK36(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f533,plain,
! [X0] :
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f204]) ).
fof(f534,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aElementOf0(X1,szDzozmdt0(X0))
| aElement0(sdtlpdtrp0(X0,X1)) ),
inference(cnf_transformation,[],[f205]) ).
fof(f535,plain,
! [X2,X0,X1,X4] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| sdtlbdtrb0(X0,X1) != X2
| ~ aElementOf0(X4,X2)
| sdtlpdtrp0(X0,X4) = X1 ),
inference(cnf_transformation,[],[f327]) ).
fof(f536,plain,
! [X2,X0,X1,X4] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| sdtlbdtrb0(X0,X1) != X2
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f327]) ).
fof(f537,plain,
! [X2,X0,X1,X4] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| sdtlbdtrb0(X0,X1) != X2
| sdtlpdtrp0(X0,X4) != X1
| ~ aElementOf0(X4,szDzozmdt0(X0))
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f327]) ).
fof(f538,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| sdtlbdtrb0(X0,X1) != X2
| aSet0(X2) ),
inference(cnf_transformation,[],[f327]) ).
fof(f539,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aElementOf0(sK37(X0,X1,X2),X2)
| sdtlpdtrp0(X0,sK37(X0,X1,X2)) = X1
| ~ aSet0(X2)
| sdtlbdtrb0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f327]) ).
fof(f540,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aElementOf0(sK37(X0,X1,X2),X2)
| aElementOf0(sK37(X0,X1,X2),szDzozmdt0(X0))
| ~ aSet0(X2)
| sdtlbdtrb0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f327]) ).
fof(f541,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| ~ aElementOf0(sK37(X0,X1,X2),X2)
| sdtlpdtrp0(X0,sK37(X0,X1,X2)) != X1
| ~ aElementOf0(sK37(X0,X1,X2),szDzozmdt0(X0))
| ~ aSet0(X2)
| sdtlbdtrb0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f327]) ).
fof(f542,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f543,plain,
! [X2,X0,X1,X6] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlcdtrc0(X0,X1) != X2
| ~ aElementOf0(X6,X2)
| sdtlpdtrp0(X0,sK40(X0,X1,X6)) = X6 ),
inference(cnf_transformation,[],[f331]) ).
fof(f544,plain,
! [X2,X0,X1,X6] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlcdtrc0(X0,X1) != X2
| ~ aElementOf0(X6,X2)
| aElementOf0(sK40(X0,X1,X6),X1) ),
inference(cnf_transformation,[],[f331]) ).
fof(f545,plain,
! [X2,X0,X1,X6,X7] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlcdtrc0(X0,X1) != X2
| sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1)
| aElementOf0(X6,X2) ),
inference(cnf_transformation,[],[f331]) ).
fof(f546,plain,
! [X2,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlcdtrc0(X0,X1) != X2
| aSet0(X2) ),
inference(cnf_transformation,[],[f331]) ).
fof(f547,plain,
! [X2,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK38(X0,X1,X2),X2)
| sK38(X0,X1,X2) = sdtlpdtrp0(X0,sK39(X0,X1,X2))
| ~ aSet0(X2)
| sdtlcdtrc0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f331]) ).
fof(f548,plain,
! [X2,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK38(X0,X1,X2),X2)
| aElementOf0(sK39(X0,X1,X2),X1)
| ~ aSet0(X2)
| sdtlcdtrc0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f331]) ).
fof(f549,plain,
! [X2,X0,X1,X4] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aElementOf0(sK38(X0,X1,X2),X2)
| sdtlpdtrp0(X0,X4) != sK38(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aSet0(X2)
| sdtlcdtrc0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f331]) ).
fof(f550,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aElementOf0(X1,szDzozmdt0(X0))
| aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ),
inference(cnf_transformation,[],[f211]) ).
fof(f551,plain,
! [X2,X0,X1,X4] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtexdt0(X0,X1) != X2
| ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) = sdtlpdtrp0(X2,X4) ),
inference(cnf_transformation,[],[f335]) ).
fof(f552,plain,
! [X2,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtexdt0(X0,X1) != X2
| szDzozmdt0(X2) = X1 ),
inference(cnf_transformation,[],[f335]) ).
fof(f553,plain,
! [X2,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtexdt0(X0,X1) != X2
| aFunction0(X2) ),
inference(cnf_transformation,[],[f335]) ).
fof(f554,plain,
! [X2,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK41(X0,X1,X2),X1)
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2)
| sdtexdt0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f335]) ).
fof(f555,plain,
! [X2,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK41(X0,X1,X2)) != sdtlpdtrp0(X2,sK41(X0,X1,X2))
| szDzozmdt0(X2) != X1
| ~ aFunction0(X2)
| sdtexdt0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f335]) ).
fof(f556,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sK42(X0) != sK43(X0)
| isCountable0(sdtlcdtrc0(X0,X1)) ),
inference(cnf_transformation,[],[f336]) ).
fof(f557,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK43(X0),szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,X1)) ),
inference(cnf_transformation,[],[f336]) ).
fof(f558,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK42(X0),szDzozmdt0(X0))
| isCountable0(sdtlcdtrc0(X0,X1)) ),
inference(cnf_transformation,[],[f336]) ).
fof(f559,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK43(X0)) = sdtlpdtrp0(X0,sK42(X0))
| isCountable0(sdtlcdtrc0(X0,X1)) ),
inference(cnf_transformation,[],[f336]) ).
fof(f560,plain,
! [X0] :
( ~ aFunction0(X0)
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0))) ),
inference(cnf_transformation,[],[f216]) ).
fof(f561,plain,
! [X0] :
( ~ aFunction0(X0)
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ isCountable0(szDzozmdt0(X0))
| aElement0(szDzizrdt0(X0)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f562,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f563,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f564,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f565,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f217]) ).
fof(f566,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f217]) ).
fof(f567,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f568,plain,
aSet0(xS),
inference(cnf_transformation,[],[f217]) ).
fof(f569,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f339]) ).
fof(f570,plain,
! [X6] :
( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X6,xT) ),
inference(cnf_transformation,[],[f339]) ).
fof(f571,plain,
! [X3] :
( ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,sK45(X3)) = X3 ),
inference(cnf_transformation,[],[f339]) ).
fof(f572,plain,
! [X3] :
( ~ aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sK45(X3),szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f573,plain,
! [X3,X4] :
( sdtlpdtrp0(xc,X4) != X3
| ~ aElementOf0(X4,szDzozmdt0(xc))
| aElementOf0(X3,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f339]) ).
fof(f574,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f339]) ).
fof(f575,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f339]) ).
fof(f576,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| ~ aSubsetOf0(X0,xS)
| aElementOf0(X0,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f577,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| aElementOf0(sK44(X0),X0)
| ~ aSet0(X0)
| aElementOf0(X0,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f578,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| ~ aElementOf0(sK44(X0),xS)
| ~ aSet0(X0)
| aElementOf0(X0,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f579,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sbrdtbr0(X0) = xK ),
inference(cnf_transformation,[],[f339]) ).
fof(f580,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(X0,xS) ),
inference(cnf_transformation,[],[f339]) ).
fof(f581,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) ),
inference(cnf_transformation,[],[f339]) ).
fof(f582,plain,
! [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSet0(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f583,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f339]) ).
fof(f584,plain,
! [X2,X0,X1] :
( ~ sP7(X0,X1,X2)
| slbdtsldtrb0(X0,X1) != szDzozmdt0(X2) ),
inference(cnf_transformation,[],[f342]) ).
fof(f585,plain,
! [X2,X0,X1] :
( ~ sP7(X0,X1,X2)
| sP4(X2,sK46(X0,X1,X2),X0,X1)
| aElementOf0(sK46(X0,X1,X2),szDzozmdt0(X2)) ),
inference(cnf_transformation,[],[f342]) ).
fof(f586,plain,
! [X2,X0,X1] :
( ~ sP7(X0,X1,X2)
| sP4(X2,sK46(X0,X1,X2),X0,X1)
| sbrdtbr0(sK46(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK46(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f587,plain,
! [X2,X0,X1] :
( ~ sP7(X0,X1,X2)
| sP4(X2,sK46(X0,X1,X2),X0,X1)
| sbrdtbr0(sK46(X0,X1,X2)) != X1
| aElementOf0(sK47(X0,X1,X2),sK46(X0,X1,X2))
| ~ aSet0(sK46(X0,X1,X2)) ),
inference(cnf_transformation,[],[f342]) ).
fof(f588,plain,
! [X2,X0,X1] :
( ~ sP7(X0,X1,X2)
| sP4(X2,sK46(X0,X1,X2),X0,X1)
| sbrdtbr0(sK46(X0,X1,X2)) != X1
| ~ aElementOf0(sK47(X0,X1,X2),X0)
| ~ aSet0(sK46(X0,X1,X2)) ),
inference(cnf_transformation,[],[f342]) ).
fof(f589,plain,
! [X2,X0] :
( ~ sP6(X0)
| ~ aElementOf0(X2,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| sdtlpdtrp0(X0,sK49(X0,X2)) = X2 ),
inference(cnf_transformation,[],[f345]) ).
fof(f590,plain,
! [X2,X0] :
( ~ sP6(X0)
| ~ aElementOf0(X2,sdtlcdtrc0(X0,szDzozmdt0(X0)))
| aElementOf0(sK49(X0,X2),szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f345]) ).
fof(f591,plain,
! [X2,X3,X0] :
( ~ sP6(X0)
| sdtlpdtrp0(X0,X3) != X2
| ~ aElementOf0(X3,szDzozmdt0(X0))
| aElementOf0(X2,sdtlcdtrc0(X0,szDzozmdt0(X0))) ),
inference(cnf_transformation,[],[f345]) ).
fof(f592,plain,
! [X0] :
( ~ sP6(X0)
| aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0))) ),
inference(cnf_transformation,[],[f345]) ).
fof(f593,plain,
! [X0] :
( ~ sP6(X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) ),
inference(cnf_transformation,[],[f345]) ).
fof(f594,plain,
! [X0] :
( ~ sP6(X0)
| aElementOf0(sK48(X0),sdtlcdtrc0(X0,szDzozmdt0(X0))) ),
inference(cnf_transformation,[],[f345]) ).
fof(f595,plain,
! [X0] :
( ~ sP6(X0)
| ~ aElementOf0(sK48(X0),xT) ),
inference(cnf_transformation,[],[f345]) ).
fof(f596,plain,
! [X2,X3,X0,X1,X6] :
( ~ sP5(X0,X1,X2,X3)
| ~ aElementOf0(X6,slbdtsldtrb0(sK50(X0,X1,X2,X3),X3))
| sdtlpdtrp0(X2,X6) = X1 ),
inference(cnf_transformation,[],[f348]) ).
fof(f597,plain,
! [X2,X3,X0,X1,X6] :
( ~ sP5(X0,X1,X2,X3)
| sbrdtbr0(X6) != X3
| ~ aSubsetOf0(X6,sK50(X0,X1,X2,X3))
| sdtlpdtrp0(X2,X6) = X1 ),
inference(cnf_transformation,[],[f348]) ).
fof(f598,plain,
! [X2,X3,X0,X1,X6] :
( ~ sP5(X0,X1,X2,X3)
| sbrdtbr0(X6) != X3
| aElementOf0(sK51(X0,X1,X2,X3,X6),X6)
| ~ aSet0(X6)
| sdtlpdtrp0(X2,X6) = X1 ),
inference(cnf_transformation,[],[f348]) ).
fof(f599,plain,
! [X2,X3,X0,X1,X6] :
( ~ sP5(X0,X1,X2,X3)
| sbrdtbr0(X6) != X3
| ~ aElementOf0(sK51(X0,X1,X2,X3,X6),sK50(X0,X1,X2,X3))
| ~ aSet0(X6)
| sdtlpdtrp0(X2,X6) = X1 ),
inference(cnf_transformation,[],[f348]) ).
fof(f600,plain,
! [X2,X3,X0,X1] :
( ~ sP5(X0,X1,X2,X3)
| isCountable0(sK50(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f348]) ).
fof(f601,plain,
! [X2,X3,X0,X1] :
( ~ sP5(X0,X1,X2,X3)
| aSubsetOf0(sK50(X0,X1,X2,X3),X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f602,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP5(X0,X1,X2,X3)
| ~ aElementOf0(X5,sK50(X0,X1,X2,X3))
| aElementOf0(X5,X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f603,plain,
! [X2,X3,X0,X1] :
( ~ sP5(X0,X1,X2,X3)
| aSet0(sK50(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f348]) ).
fof(f609,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| sP6(X2)
| sP7(X1,X0,X2)
| ~ aFunction0(X2)
| ~ iLess0(X0,xK)
| sP5(X1,sK52(X0,X1,X2),X2,X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f610,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| aElementOf0(sK53(X1),X1)
| ~ aSet0(X1)
| sP6(X2)
| sP7(X1,X0,X2)
| ~ aFunction0(X2)
| ~ iLess0(X0,xK)
| sP5(X1,sK52(X0,X1,X2),X2,X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f611,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(sK53(X1),szNzAzT0)
| ~ aSet0(X1)
| sP6(X2)
| sP7(X1,X0,X2)
| ~ aFunction0(X2)
| ~ iLess0(X0,xK)
| sP5(X1,sK52(X0,X1,X2),X2,X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f612,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| sP6(X2)
| sP7(X1,X0,X2)
| ~ aFunction0(X2)
| ~ iLess0(X0,xK)
| aElementOf0(sK52(X0,X1,X2),xT) ),
inference(cnf_transformation,[],[f352]) ).
fof(f613,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| aElementOf0(sK53(X1),X1)
| ~ aSet0(X1)
| sP6(X2)
| sP7(X1,X0,X2)
| ~ aFunction0(X2)
| ~ iLess0(X0,xK)
| aElementOf0(sK52(X0,X1,X2),xT) ),
inference(cnf_transformation,[],[f352]) ).
fof(f614,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| ~ aElementOf0(sK53(X1),szNzAzT0)
| ~ aSet0(X1)
| sP6(X2)
| sP7(X1,X0,X2)
| ~ aFunction0(X2)
| ~ iLess0(X0,xK)
| aElementOf0(sK52(X0,X1,X2),xT) ),
inference(cnf_transformation,[],[f352]) ).
fof(f616,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f617,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f618,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f619,plain,
! [X0] :
( ~ sP9(X0)
| isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ),
inference(cnf_transformation,[],[f354]) ).
fof(f620,plain,
! [X0] :
( ~ sP9(X0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f354]) ).
fof(f621,plain,
! [X2,X0] :
( ~ sP9(X0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f354]) ).
fof(f622,plain,
! [X0] :
( ~ sP9(X0)
| aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ),
inference(cnf_transformation,[],[f354]) ).
fof(f623,plain,
! [X0] :
( ~ sP9(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f624,plain,
! [X0] :
( ~ sP9(X0)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f354]) ).
fof(f625,plain,
! [X0,X1] :
( ~ sP9(X0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) ),
inference(cnf_transformation,[],[f354]) ).
fof(f626,plain,
! [X0] :
( ~ sP9(X0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f354]) ).
fof(f631,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| sP9(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f632,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| aElementOf0(sK54(X0),sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f634,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f358]) ).
fof(f635,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f358]) ).
fof(f636,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f358]) ).
fof(f637,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f224]) ).
fof(f638,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f639,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f640,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f224]) ).
fof(f641,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f226]) ).
fof(f642,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f226]) ).
fof(f645,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f360]) ).
fof(f646,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK55(X0,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f360]) ).
fof(f647,plain,
! [X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK55(X0,X1))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f360]) ).
fof(f648,plain,
! [X3,X0,X1] :
( ~ sP12(X0,X1)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) ),
inference(cnf_transformation,[],[f363]) ).
fof(f649,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f363]) ).
fof(f650,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| sP10(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f651,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f363]) ).
fof(f652,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ),
inference(cnf_transformation,[],[f363]) ).
fof(f653,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f363]) ).
fof(f654,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| sbrdtbr0(X1) != xk
| aElementOf0(sK56(X0,X1),X1) ),
inference(cnf_transformation,[],[f363]) ).
fof(f655,plain,
! [X0,X1] :
( ~ sP12(X0,X1)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK56(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f363]) ).
fof(f656,plain,
! [X2,X0,X1] :
( ~ sP11(X0,X1)
| ~ aElementOf0(X2,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1))))
| szmzizndt0(sdtlpdtrp0(xN,X1)) = X2
| aElementOf0(X2,X0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f657,plain,
! [X2,X0,X1] :
( ~ sP11(X0,X1)
| ~ aElementOf0(X2,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1))))
| aElement0(X2) ),
inference(cnf_transformation,[],[f366]) ).
fof(f658,plain,
! [X2,X0,X1] :
( ~ sP11(X0,X1)
| szmzizndt0(sdtlpdtrp0(xN,X1)) != X2
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f366]) ).
fof(f659,plain,
! [X2,X0,X1] :
( ~ sP11(X0,X1)
| ~ aElementOf0(X2,X0)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f366]) ).
fof(f664,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sP12(X0,X1)
| ~ aSet0(X1)
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK)) ),
inference(cnf_transformation,[],[f370]) ).
fof(f665,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sP12(X0,X1)
| ~ aSet0(X1)
| xK = sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f370]) ).
fof(f666,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sP12(X0,X1)
| ~ aSet0(X1)
| aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS) ),
inference(cnf_transformation,[],[f370]) ).
fof(f667,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sP12(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X3,xS) ),
inference(cnf_transformation,[],[f370]) ).
fof(f668,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sP12(X0,X1)
| ~ aSet0(X1)
| sP11(X1,X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f669,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sP12(X0,X1)
| ~ aSet0(X1)
| aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f370]) ).
fof(f672,plain,
! [X0,X1] :
( ~ sP17(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 ),
inference(cnf_transformation,[],[f373]) ).
fof(f673,plain,
! [X0,X1] :
( ~ sP17(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f373]) ).
fof(f674,plain,
! [X0,X1] :
( ~ sP17(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1) ),
inference(cnf_transformation,[],[f373]) ).
fof(f675,plain,
! [X0,X1] :
( ~ sP17(X0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f373]) ).
fof(f676,plain,
! [X0,X1] :
( ~ sP16(X0)
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) ),
inference(cnf_transformation,[],[f376]) ).
fof(f677,plain,
! [X0,X1] :
( ~ sP16(X0)
| sbrdtbr0(X1) != xk
| aElementOf0(sK57(X0,X1),X1)
| ~ aSet0(X1)
| aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) ),
inference(cnf_transformation,[],[f376]) ).
fof(f678,plain,
! [X0,X1] :
( ~ sP16(X0)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK57(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) ),
inference(cnf_transformation,[],[f376]) ).
fof(f679,plain,
! [X0,X1] :
( ~ sP16(X0)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) = xk ),
inference(cnf_transformation,[],[f376]) ).
fof(f680,plain,
! [X0,X1] :
( ~ sP16(X0)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f376]) ).
fof(f681,plain,
! [X2,X0,X1] :
( ~ sP16(X0)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ aElementOf0(X2,X1)
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f376]) ).
fof(f682,plain,
! [X0,X1] :
( ~ sP16(X0)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| aSet0(X1) ),
inference(cnf_transformation,[],[f376]) ).
fof(f683,plain,
! [X0,X1] :
( ~ sP15(X0)
| sP14(X0,X1)
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f379]) ).
fof(f684,plain,
! [X3,X0,X1] :
( ~ sP15(X0)
| sP14(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| aElementOf0(X3,X1) ),
inference(cnf_transformation,[],[f379]) ).
fof(f685,plain,
! [X3,X0,X1] :
( ~ sP15(X0)
| sP14(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X3) ),
inference(cnf_transformation,[],[f379]) ).
fof(f686,plain,
! [X3,X0,X1] :
( ~ sP15(X0)
| sP14(X0,X1)
| ~ aSet0(X1)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f379]) ).
fof(f687,plain,
! [X3,X0,X1] :
( ~ sP15(X0)
| sP14(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f379]) ).
fof(f688,plain,
! [X2,X0,X1] :
( ~ sP15(X0)
| sP14(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) ),
inference(cnf_transformation,[],[f379]) ).
fof(f689,plain,
! [X0,X1] :
( ~ sP15(X0)
| sP14(X0,X1)
| ~ aSet0(X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f379]) ).
fof(f690,plain,
! [X3,X0,X1] :
( ~ sP14(X0,X1)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) ),
inference(cnf_transformation,[],[f382]) ).
fof(f691,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f382]) ).
fof(f692,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| sP13(X0) ),
inference(cnf_transformation,[],[f382]) ).
fof(f693,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f382]) ).
fof(f694,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ),
inference(cnf_transformation,[],[f382]) ).
fof(f695,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f382]) ).
fof(f696,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| sbrdtbr0(X1) != xk
| aElementOf0(sK58(X0,X1),X1) ),
inference(cnf_transformation,[],[f382]) ).
fof(f697,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK58(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f382]) ).
fof(f702,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP15(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f703,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) ),
inference(cnf_transformation,[],[f268]) ).
fof(f704,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP16(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f705,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP17(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f706,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f268]) ).
fof(f707,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f708,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f268]) ).
fof(f709,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aFunction0(sdtlpdtrp0(xC,X0)) ),
inference(cnf_transformation,[],[f268]) ).
fof(f710,plain,
szNzAzT0 = szDzozmdt0(xC),
inference(cnf_transformation,[],[f268]) ).
fof(f711,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f268]) ).
fof(f712,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT) ),
inference(cnf_transformation,[],[f388]) ).
fof(f713,plain,
! [X0,X4] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X4,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| aElementOf0(X4,xT) ),
inference(cnf_transformation,[],[f388]) ).
fof(f714,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),sK59(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f388]) ).
fof(f715,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| aElementOf0(sK59(X0,X1),szDzozmdt0(sdtlpdtrp0(xC,X0))) ),
inference(cnf_transformation,[],[f388]) ).
fof(f716,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ),
inference(cnf_transformation,[],[f388]) ).
fof(f717,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ),
inference(cnf_transformation,[],[f388]) ).
fof(f718,plain,
! [X3,X0,X1] :
( ~ sP21(X0,X1)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ),
inference(cnf_transformation,[],[f391]) ).
fof(f719,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f391]) ).
fof(f720,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| sP18(X1) ),
inference(cnf_transformation,[],[f391]) ).
fof(f721,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f391]) ).
fof(f722,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f391]) ).
fof(f723,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| aElementOf0(sK60(X0,X1),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f391]) ).
fof(f724,plain,
! [X0,X1] :
( ~ sP21(X0,X1)
| ~ aElementOf0(sK60(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f391]) ).
fof(f725,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ),
inference(cnf_transformation,[],[f393]) ).
fof(f726,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f393]) ).
fof(f727,plain,
! [X3,X0,X1] :
( ~ sP20(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f393]) ).
fof(f728,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| sP19(X0) ),
inference(cnf_transformation,[],[f393]) ).
fof(f729,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f393]) ).
fof(f730,plain,
! [X2,X0,X1] :
( ~ sP20(X0,X1)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) ),
inference(cnf_transformation,[],[f393]) ).
fof(f731,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f393]) ).
fof(f732,plain,
! [X0,X1] :
( ~ sP19(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 ),
inference(cnf_transformation,[],[f396]) ).
fof(f733,plain,
! [X0,X1] :
( ~ sP19(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f396]) ).
fof(f734,plain,
! [X0,X1] :
( ~ sP19(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1) ),
inference(cnf_transformation,[],[f396]) ).
fof(f735,plain,
! [X0,X1] :
( ~ sP19(X0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f396]) ).
fof(f740,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| sP21(X1,X0)
| ~ aElementOf0(X2,slbdtsldtrb0(X1,xk))
| ~ aSet0(X2)
| sP20(X0,X2) ),
inference(cnf_transformation,[],[f401]) ).
fof(f741,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| sP21(X1,X0)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| sP20(X0,X2) ),
inference(cnf_transformation,[],[f401]) ).
fof(f742,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| sP21(X1,X0)
| sbrdtbr0(X2) != xk
| aElementOf0(sK61(X1,X2),X2)
| ~ aSet0(X2)
| sP20(X0,X2) ),
inference(cnf_transformation,[],[f401]) ).
fof(f743,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(X1)
| sP21(X1,X0)
| sbrdtbr0(X2) != xk
| ~ aElementOf0(sK61(X1,X2),X1)
| ~ aSet0(X2)
| sP20(X0,X2) ),
inference(cnf_transformation,[],[f401]) ).
fof(f744,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| sP22(X1,X0,sK62(X0,X1)) ),
inference(cnf_transformation,[],[f404]) ).
fof(f745,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| isCountable0(sK62(X0,X1)) ),
inference(cnf_transformation,[],[f404]) ).
fof(f746,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| aSubsetOf0(sK62(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f404]) ).
fof(f747,plain,
! [X0,X1,X4] :
( ~ sP24(X0,X1)
| ~ aElementOf0(X4,sK62(X0,X1))
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f404]) ).
fof(f748,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| aSet0(sK62(X0,X1)) ),
inference(cnf_transformation,[],[f404]) ).
fof(f749,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| sP23(X0) ),
inference(cnf_transformation,[],[f404]) ).
fof(f750,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f404]) ).
fof(f751,plain,
! [X3,X0,X1] :
( ~ sP24(X0,X1)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) ),
inference(cnf_transformation,[],[f404]) ).
fof(f752,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f404]) ).
fof(f753,plain,
! [X0,X1] :
( ~ sP23(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 ),
inference(cnf_transformation,[],[f407]) ).
fof(f754,plain,
! [X0,X1] :
( ~ sP23(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f407]) ).
fof(f755,plain,
! [X0,X1] :
( ~ sP23(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1) ),
inference(cnf_transformation,[],[f407]) ).
fof(f756,plain,
! [X0,X1] :
( ~ sP23(X0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f407]) ).
fof(f761,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP24(X0,sK64(X0)) ),
inference(cnf_transformation,[],[f411]) ).
fof(f762,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK64(X0),xT) ),
inference(cnf_transformation,[],[f411]) ).
fof(f763,plain,
! [X2,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK65(X0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f764,plain,
! [X2,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(X2) != xk
| ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK65(X0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f765,plain,
! [X2,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(X2) != xk
| aElementOf0(sK66(X0,X2),X2)
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK65(X0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f766,plain,
! [X2,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(X2) != xk
| ~ aElementOf0(sK66(X0,X2),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X2)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2) = sK65(X0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f767,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK65(X0),xT) ),
inference(cnf_transformation,[],[f412]) ).
fof(f768,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f769,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f770,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f240]) ).
fof(f771,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f240]) ).
fof(f772,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f240]) ).
fof(f773,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ),
inference(cnf_transformation,[],[f413]) ).
fof(f774,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(X1) != xk
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ),
inference(cnf_transformation,[],[f413]) ).
fof(f775,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(X1) != xk
| aElementOf0(sK67(X0,X1),X1)
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ),
inference(cnf_transformation,[],[f413]) ).
fof(f776,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(X1) != xk
| ~ aElementOf0(sK67(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ aSet0(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ),
inference(cnf_transformation,[],[f413]) ).
fof(f777,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f413]) ).
fof(f778,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f413]) ).
fof(f779,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| sdtlpdtrp0(xd,sK68(X0)) = X0 ),
inference(cnf_transformation,[],[f416]) ).
fof(f780,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(sK68(X0),szDzozmdt0(xd)) ),
inference(cnf_transformation,[],[f416]) ).
fof(f781,plain,
! [X0,X1] :
( sdtlpdtrp0(xd,X1) != X0
| ~ aElementOf0(X1,szDzozmdt0(xd))
| aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f416]) ).
fof(f782,plain,
aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(cnf_transformation,[],[f416]) ).
fof(f783,plain,
aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(cnf_transformation,[],[f417]) ).
fof(f784,plain,
xx = sdtlpdtrp0(xd,sK69),
inference(cnf_transformation,[],[f417]) ).
fof(f785,plain,
aElementOf0(sK69,szDzozmdt0(xd)),
inference(cnf_transformation,[],[f417]) ).
fof(f786,plain,
xx = sdtlpdtrp0(xd,xi),
inference(cnf_transformation,[],[f95]) ).
fof(f787,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f95]) ).
fof(f788,plain,
aElementOf0(sK71,xX),
inference(cnf_transformation,[],[f418]) ).
fof(f789,plain,
xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk),
inference(cnf_transformation,[],[f418]) ).
fof(f790,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| aElementOf0(X0,xX) ),
inference(cnf_transformation,[],[f418]) ).
fof(f791,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| aElementOf0(sK70(X0),X0)
| ~ aSet0(X0)
| aElementOf0(X0,xX) ),
inference(cnf_transformation,[],[f418]) ).
fof(f792,plain,
! [X0] :
( sbrdtbr0(X0) != xk
| ~ aElementOf0(sK70(X0),sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(X0)
| aElementOf0(X0,xX) ),
inference(cnf_transformation,[],[f418]) ).
fof(f793,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| sbrdtbr0(X0) = xk ),
inference(cnf_transformation,[],[f418]) ).
fof(f794,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
inference(cnf_transformation,[],[f418]) ).
fof(f795,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xX)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ),
inference(cnf_transformation,[],[f418]) ).
fof(f796,plain,
! [X0] :
( ~ aElementOf0(X0,xX)
| aSet0(X0) ),
inference(cnf_transformation,[],[f418]) ).
fof(f797,plain,
aSet0(xX),
inference(cnf_transformation,[],[f418]) ).
fof(f798,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f117]) ).
fof(f799,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f421]) ).
fof(f800,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f420]) ).
fof(f801,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f425]) ).
fof(f802,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(sdtpldt0(X1,X0),X1,X0) ),
inference(equality_resolution,[],[f434]) ).
fof(f804,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| sP2(sdtmndt0(X1,X0),X1,X0) ),
inference(equality_resolution,[],[f446]) ).
fof(f806,plain,
( ~ aSet0(slcrc0)
| sz00 = sbrdtbr0(slcrc0) ),
inference(equality_resolution,[],[f487]) ).
fof(f807,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzizndt0(X0),X0) ),
inference(equality_resolution,[],[f494]) ).
fof(f808,plain,
! [X3,X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(X3,X0)
| sdtlseqdt0(szmzizndt0(X0),X3) ),
inference(equality_resolution,[],[f493]) ).
fof(f809,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzazxdt0(X0),X0) ),
inference(equality_resolution,[],[f498]) ).
fof(f810,plain,
! [X3,X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(X3,X0)
| sdtlseqdt0(X3,szmzazxdt0(X0)) ),
inference(equality_resolution,[],[f497]) ).
fof(f811,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(equality_resolution,[],[f505]) ).
fof(f812,plain,
! [X3,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,slbdtrb0(X0)) ),
inference(equality_resolution,[],[f504]) ).
fof(f813,plain,
! [X3,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| aElementOf0(X3,szNzAzT0) ),
inference(equality_resolution,[],[f503]) ).
fof(f814,plain,
! [X3,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| sdtlseqdt0(szszuzczcdt0(X3),X0) ),
inference(equality_resolution,[],[f502]) ).
fof(f816,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| aSet0(slbdtsldtrb0(X0,X1)) ),
inference(equality_resolution,[],[f522]) ).
fof(f817,plain,
! [X2,X0,X4] :
( ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aSubsetOf0(X4,X0)
| aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f521]) ).
fof(f818,plain,
! [X0,X4] :
( ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X4,X0)
| aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4))) ),
inference(equality_resolution,[],[f817]) ).
fof(f819,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X4,X0) ),
inference(equality_resolution,[],[f520]) ).
fof(f820,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| sbrdtbr0(X4) = X1 ),
inference(equality_resolution,[],[f519]) ).
fof(f821,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aSet0(sdtlbdtrb0(X0,X1)) ),
inference(equality_resolution,[],[f538]) ).
fof(f822,plain,
! [X2,X0,X4] :
( ~ aElement0(sdtlpdtrp0(X0,X4))
| ~ aFunction0(X0)
| sdtlbdtrb0(X0,sdtlpdtrp0(X0,X4)) != X2
| ~ aElementOf0(X4,szDzozmdt0(X0))
| aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f537]) ).
fof(f823,plain,
! [X0,X4] :
( ~ aElement0(sdtlpdtrp0(X0,X4))
| ~ aFunction0(X0)
| ~ aElementOf0(X4,szDzozmdt0(X0))
| aElementOf0(X4,sdtlbdtrb0(X0,sdtlpdtrp0(X0,X4))) ),
inference(equality_resolution,[],[f822]) ).
fof(f824,plain,
! [X0,X1,X4] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
| aElementOf0(X4,szDzozmdt0(X0)) ),
inference(equality_resolution,[],[f536]) ).
fof(f825,plain,
! [X0,X1,X4] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
| sdtlpdtrp0(X0,X4) = X1 ),
inference(equality_resolution,[],[f535]) ).
fof(f826,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aSet0(sdtlcdtrc0(X0,X1)) ),
inference(equality_resolution,[],[f546]) ).
fof(f827,plain,
! [X2,X0,X1,X7] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlcdtrc0(X0,X1) != X2
| ~ aElementOf0(X7,X1)
| aElementOf0(sdtlpdtrp0(X0,X7),X2) ),
inference(equality_resolution,[],[f545]) ).
fof(f828,plain,
! [X0,X1,X7] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aElementOf0(X7,X1)
| aElementOf0(sdtlpdtrp0(X0,X7),sdtlcdtrc0(X0,X1)) ),
inference(equality_resolution,[],[f827]) ).
fof(f829,plain,
! [X0,X1,X6] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| aElementOf0(sK40(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f544]) ).
fof(f830,plain,
! [X0,X1,X6] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK40(X0,X1,X6)) = X6 ),
inference(equality_resolution,[],[f543]) ).
fof(f831,plain,
! [X2,X0] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(szDzozmdt0(X2),szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK41(X0,szDzozmdt0(X2),X2)) != sdtlpdtrp0(X2,sK41(X0,szDzozmdt0(X2),X2))
| ~ aFunction0(X2)
| sdtexdt0(X0,szDzozmdt0(X2)) = X2 ),
inference(equality_resolution,[],[f555]) ).
fof(f832,plain,
! [X2,X0] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(szDzozmdt0(X2),szDzozmdt0(X0))
| aElementOf0(sK41(X0,szDzozmdt0(X2),X2),szDzozmdt0(X2))
| ~ aFunction0(X2)
| sdtexdt0(X0,szDzozmdt0(X2)) = X2 ),
inference(equality_resolution,[],[f554]) ).
fof(f833,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aFunction0(sdtexdt0(X0,X1)) ),
inference(equality_resolution,[],[f553]) ).
fof(f834,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| szDzozmdt0(sdtexdt0(X0,X1)) = X1 ),
inference(equality_resolution,[],[f552]) ).
fof(f835,plain,
! [X0,X1,X4] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) = sdtlpdtrp0(sdtexdt0(X0,X1),X4) ),
inference(equality_resolution,[],[f551]) ).
fof(f836,plain,
! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X4),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(equality_resolution,[],[f573]) ).
fof(f837,plain,
! [X3,X0] :
( ~ sP6(X0)
| ~ aElementOf0(X3,szDzozmdt0(X0))
| aElementOf0(sdtlpdtrp0(X0,X3),sdtlcdtrc0(X0,szDzozmdt0(X0))) ),
inference(equality_resolution,[],[f591]) ).
fof(f838,plain,
! [X2,X0,X1,X6] :
( ~ sP5(X0,X1,X2,sbrdtbr0(X6))
| ~ aElementOf0(sK51(X0,X1,X2,sbrdtbr0(X6),X6),sK50(X0,X1,X2,sbrdtbr0(X6)))
| ~ aSet0(X6)
| sdtlpdtrp0(X2,X6) = X1 ),
inference(equality_resolution,[],[f599]) ).
fof(f839,plain,
! [X2,X0,X1,X6] :
( ~ sP5(X0,X1,X2,sbrdtbr0(X6))
| aElementOf0(sK51(X0,X1,X2,sbrdtbr0(X6),X6),X6)
| ~ aSet0(X6)
| sdtlpdtrp0(X2,X6) = X1 ),
inference(equality_resolution,[],[f598]) ).
fof(f840,plain,
! [X2,X0,X1,X6] :
( ~ sP5(X0,X1,X2,sbrdtbr0(X6))
| ~ aSubsetOf0(X6,sK50(X0,X1,X2,sbrdtbr0(X6)))
| sdtlpdtrp0(X2,X6) = X1 ),
inference(equality_resolution,[],[f597]) ).
fof(f842,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X1)))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(equality_resolution,[],[f658]) ).
fof(f844,plain,
! [X0] :
( ~ sP17(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(equality_resolution,[],[f672]) ).
fof(f845,plain,
! [X0,X1] :
( ~ sP15(X0)
| sP14(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0)))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(equality_resolution,[],[f686]) ).
fof(f847,plain,
! [X2,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| aElementOf0(sdtlpdtrp0(sdtlpdtrp0(xC,X0),X2),sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0)))) ),
inference(equality_resolution,[],[f716]) ).
fof(f848,plain,
! [X0] :
( ~ sP19(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(equality_resolution,[],[f732]) ).
fof(f850,plain,
! [X0] :
( ~ sP23(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(equality_resolution,[],[f753]) ).
fof(f851,plain,
! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xd))
| aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(equality_resolution,[],[f781]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_50,plain,
! [X0: $i] :
( aElementOf0(sK25(X0),X0)
| ( X0 = slcrc0 )
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_51,plain,
aSet0(slcrc0),
inference(cnf_transformation,[],[f799]) ).
tcf(c_52,plain,
! [X0: $i] : ~ aElementOf0(X0,slcrc0),
inference(cnf_transformation,[],[f800]) ).
tcf(c_53,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f423]) ).
tcf(c_54,plain,
! [X0: $i] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_55,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(cnf_transformation,[],[f801]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK26(X0,X1),X0) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| aElementOf0(sK26(X1,X0),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( aSet0(X0)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( isFinite0(X0)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f430]) ).
tcf(c_61,plain,
! [X0: $i] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f431]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f432]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f433]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X1,X2) = X0 )
| ~ sP1(X2,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f435]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f802]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( sP1(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f445]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(X1,X2) = X0 )
| ~ sP3(X2,X1)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f804]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),X0) = X1 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,X1)
| ( sdtmndt0(sdtpldt0(X1,X0),X0) = X1 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f459]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f460]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f461]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f462]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f463]) ).
tcf(c_94,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f465]) ).
tcf(c_95,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f464]) ).
tcf(c_96,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f466]) ).
tcf(c_97,plain,
! [X0: $i] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f468]) ).
tcf(c_98,plain,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != sz00 ) ),
inference(cnf_transformation,[],[f467]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != szszuzczcdt0(X1) ) ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_100,plain,
! [X0: $i] :
( aElementOf0(sK29(X0),szNzAzT0)
| ( X0 = sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_101,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( szszuzczcdt0(sK29(X0)) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_102,plain,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != X0 ) ),
inference(cnf_transformation,[],[f472]) ).
tcf(c_103,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_104,plain,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(cnf_transformation,[],[f476]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f475]) ).
tcf(c_107,plain,
! [X0: $i] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_108,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_112,plain,
! [X0: $i] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f482]) ).
tcf(c_113,plain,
! [X0: $i] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f483]) ).
tcf(c_114,plain,
! [X0: $i] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f485]) ).
tcf(c_115,plain,
! [X0: $i] :
( isFinite0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_116,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnf_transformation,[],[f806]) ).
tcf(c_117,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ~ aSet0(X0)
| ( sbrdtbr0(X0) != sz00 ) ),
inference(cnf_transformation,[],[f486]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,X1)
| ( sbrdtbr0(sdtpldt0(X1,X0)) = szszuzczcdt0(sbrdtbr0(X1)) )
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f488]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] :
( ( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X0))) = sbrdtbr0(X1) )
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X1))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f490]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(sK30(X1,X0),X1)
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sbrdtbr0(X1)) ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( ( sbrdtbr0(sK30(X1,X0)) = X0 )
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,sbrdtbr0(X1)) ),
inference(cnf_transformation,[],[f491]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( ( X1 = slcrc0 )
| ( szmzizndt0(X1) = X0 )
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,X1)
| ~ sdtlseqdt0(X0,sK31(X1,X0)) ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK31(X1,X0),X1)
| ( X1 = slcrc0 )
| ( szmzizndt0(X1) = X0 )
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_125,plain,
! [X0: $i] :
( aElementOf0(szmzizndt0(X0),X0)
| ( X0 = slcrc0 )
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f807]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(szmzizndt0(X1),X0)
| ( X1 = slcrc0 )
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f808]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( szmzazxdt0(X0) = X1 )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,X0)
| ~ sdtlseqdt0(sK32(X0,X1),X1) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK32(X1,X0),X1)
| ( X1 = slcrc0 )
| ( szmzazxdt0(X1) = X0 )
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_129,plain,
! [X0: $i] :
( aElementOf0(szmzazxdt0(X0),X0)
| ( X0 = slcrc0 )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f809]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,szmzazxdt0(X1))
| ( X1 = slcrc0 )
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f810]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( ( X1 = slcrc0 )
| ( X0 = slcrc0 )
| ( szmzizndt0(X0) = szmzizndt0(X1) )
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( ( slbdtrb0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sK33(X0,X1),szNzAzT0)
| ~ aElementOf0(sK33(X0,X1),X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK33(X0,X1)),X0) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK33(X0,X1),szNzAzT0)
| aElementOf0(sK33(X0,X1),X1)
| ( slbdtrb0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f507]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK33(X0,X1),X1)
| sdtlseqdt0(szszuzczcdt0(sK33(X0,X1)),X0)
| ( slbdtrb0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f506]) ).
tcf(c_135,plain,
! [X0: $i] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f811]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1) ),
inference(cnf_transformation,[],[f812]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f813]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f814]) ).
tcf(c_139,plain,
! [X0: $i] :
( isFinite0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_140,plain,
slbdtrb0(sz00) = slcrc0,
inference(cnf_transformation,[],[f510]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_142,plain,
! [X0: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f852]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slbdtrb0(X1))
| ( X0 = X1 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(cnf_transformation,[],[f511]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f515]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(slbdtrb0(X0),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_146,plain,
! [X0: $i] :
( aElementOf0(sK34(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_147,plain,
! [X0: $i] :
( aSubsetOf0(X0,slbdtrb0(sK34(X0)))
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_148,plain,
! [X0: $i] :
( ( sbrdtbr0(slbdtrb0(X0)) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f518]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slbdtsldtrb0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(sK35(X0,X1,X2),X0)
| ~ aElementOf0(sK35(X0,X1,X2),X2)
| ( sbrdtbr0(sK35(X0,X1,X2)) != X1 ) ),
inference(cnf_transformation,[],[f525]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(sK35(X1,X0,X2),X1)
| aElementOf0(sK35(X1,X0,X2),X2)
| ( slbdtsldtrb0(X1,X0) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f524]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK35(X1,X0,X2),X2)
| ( slbdtsldtrb0(X1,X0) = X2 )
| ( sbrdtbr0(sK35(X1,X0,X2)) = X0 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f523]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( aSet0(slbdtsldtrb0(X1,X0))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f816]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slbdtsldtrb0(X1,sbrdtbr0(X0)))
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f818]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,slbdtsldtrb0(X1,X2)) ),
inference(cnf_transformation,[],[f819]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sbrdtbr0(X0) = X2 )
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,slbdtsldtrb0(X1,X2)) ),
inference(cnf_transformation,[],[f820]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( isFinite0(slbdtsldtrb0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f526]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i] :
( isFinite0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ( slbdtsldtrb0(X0,X1) != slcrc0 ) ),
inference(cnf_transformation,[],[f527]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( isCountable0(slbdtsldtrb0(X1,X0))
| ( X0 = sz00 )
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f528]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X2)
| ( X1 = sz00 )
| ( slbdtsldtrb0(X0,X1) = slcrc0 )
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(slbdtsldtrb0(X0,X1),slbdtsldtrb0(X2,X1)) ),
inference(cnf_transformation,[],[f529]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(sK36(X1,X2,X0),X1)
| ~ isFinite0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2)) ),
inference(cnf_transformation,[],[f532]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i] :
( isFinite0(sK36(X1,X2,X0))
| ~ isFinite0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2)) ),
inference(cnf_transformation,[],[f531]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,slbdtsldtrb0(sK36(X1,X2,X0),X2))
| ~ isFinite0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(X1,X2)) ),
inference(cnf_transformation,[],[f530]) ).
tcf(c_163,plain,
! [X0: $i] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f533]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtlpdtrp0(X1,X0))
| ~ aFunction0(X1)
| ~ aElementOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtlbdtrb0(X0,X1) = X2 )
| ~ aFunction0(X0)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(sK37(X0,X1,X2),X2)
| ~ aElementOf0(sK37(X0,X1,X2),szDzozmdt0(X0))
| ( sdtlpdtrp0(X0,sK37(X0,X1,X2)) != X1 ) ),
inference(cnf_transformation,[],[f541]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK37(X2,X0,X1),X1)
| aElementOf0(sK37(X2,X0,X1),szDzozmdt0(X2))
| ( sdtlbdtrb0(X2,X0) = X1 )
| ~ aFunction0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f540]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK37(X2,X0,X1),X1)
| ( sdtlbdtrb0(X2,X0) = X1 )
| ( sdtlpdtrp0(X2,sK37(X2,X0,X1)) = X0 )
| ~ aFunction0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f539]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtlbdtrb0(X1,X0))
| ~ aFunction0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f821]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,sdtlbdtrb0(X0,sdtlpdtrp0(X0,X1)))
| ~ aFunction0(X0)
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aElement0(sdtlpdtrp0(X0,X1)) ),
inference(cnf_transformation,[],[f823]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,szDzozmdt0(X1))
| ~ aFunction0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,sdtlbdtrb0(X1,X2)) ),
inference(cnf_transformation,[],[f824]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtlpdtrp0(X1,X0) = X2 )
| ~ aFunction0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,sdtlbdtrb0(X1,X2)) ),
inference(cnf_transformation,[],[f825]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(sdtlbdtrb0(X1,X0),szDzozmdt0(X1))
| ~ aFunction0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f542]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtlcdtrc0(X0,X1) = X2 )
| ~ aFunction0(X0)
| ~ aSet0(X2)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aElementOf0(sK38(X0,X1,X2),X2)
| ( sK38(X0,X1,X2) != sdtlpdtrp0(X0,X3) ) ),
inference(cnf_transformation,[],[f549]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK39(X1,X0,X2),X0)
| aElementOf0(sK38(X1,X0,X2),X2)
| ( sdtlcdtrc0(X1,X0) = X2 )
| ~ aFunction0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f548]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK38(X1,X0,X2),X2)
| ( sdtlcdtrc0(X1,X0) = X2 )
| ( sdtlpdtrp0(X1,sK39(X1,X0,X2)) = sK38(X1,X0,X2) )
| ~ aFunction0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f547]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtlcdtrc0(X1,X0))
| ~ aFunction0(X1)
| ~ aSubsetOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f826]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,X0))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,X0)
| ~ aSubsetOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f828]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK40(X1,X2,X0),X2)
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aElementOf0(X0,sdtlcdtrc0(X1,X2)) ),
inference(cnf_transformation,[],[f829]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtlpdtrp0(X1,sK40(X1,X2,X0)) = X0 )
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aElementOf0(X0,sdtlcdtrc0(X1,X2)) ),
inference(cnf_transformation,[],[f830]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtlpdtrp0(X1,X0),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f550]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( ( sdtexdt0(X0,szDzozmdt0(X1)) = X1 )
| ~ aFunction0(X1)
| ~ aFunction0(X0)
| ~ aSubsetOf0(szDzozmdt0(X1),szDzozmdt0(X0))
| ( sdtlpdtrp0(X0,sK41(X0,szDzozmdt0(X1),X1)) != sdtlpdtrp0(X1,sK41(X0,szDzozmdt0(X1),X1)) ) ),
inference(cnf_transformation,[],[f831]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK41(X1,szDzozmdt0(X0),X0),szDzozmdt0(X0))
| ( sdtexdt0(X1,szDzozmdt0(X0)) = X0 )
| ~ aFunction0(X1)
| ~ aFunction0(X0)
| ~ aSubsetOf0(szDzozmdt0(X0),szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f832]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i] :
( aFunction0(sdtexdt0(X1,X0))
| ~ aFunction0(X1)
| ~ aSubsetOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f833]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( ( szDzozmdt0(sdtexdt0(X1,X0)) = X0 )
| ~ aFunction0(X1)
| ~ aSubsetOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f834]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtlpdtrp0(sdtexdt0(X1,X0),X2) = sdtlpdtrp0(X1,X2) )
| ~ aFunction0(X1)
| ~ aElementOf0(X2,X0)
| ~ aSubsetOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f835]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( isCountable0(sdtlcdtrc0(X1,X0))
| ( sdtlpdtrp0(X1,sK43(X1)) = sdtlpdtrp0(X1,sK42(X1)) )
| ~ aFunction0(X1)
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f559]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i] :
( isCountable0(sdtlcdtrc0(X1,X0))
| aElementOf0(sK42(X1),szDzozmdt0(X1))
| ~ aFunction0(X1)
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f558]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] :
( isCountable0(sdtlcdtrc0(X1,X0))
| aElementOf0(sK43(X1),szDzozmdt0(X1))
| ~ aFunction0(X1)
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f557]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] :
( isCountable0(sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ( sK43(X0) != sK42(X0) ) ),
inference(cnf_transformation,[],[f556]) ).
tcf(c_190,plain,
! [X0: $i] :
( aElement0(szDzizrdt0(X0))
| ~ aFunction0(X0)
| ~ isCountable0(szDzozmdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0))) ),
inference(cnf_transformation,[],[f561]) ).
tcf(c_191,plain,
! [X0: $i] :
( isCountable0(sdtlbdtrb0(X0,szDzizrdt0(X0)))
| ~ aFunction0(X0)
| ~ isCountable0(szDzozmdt0(X0))
| ~ isFinite0(sdtlcdtrc0(X0,szDzozmdt0(X0))) ),
inference(cnf_transformation,[],[f560]) ).
tcf(c_192,plain,
aSet0(xT),
inference(cnf_transformation,[],[f563]) ).
tcf(c_193,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f562]) ).
tcf(c_194,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f564]) ).
tcf(c_195,plain,
aSet0(xS),
inference(cnf_transformation,[],[f568]) ).
tcf(c_196,plain,
! [X0: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f567]) ).
tcf(c_197,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f566]) ).
tcf(c_198,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f565]) ).
tcf(c_199,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f583]) ).
tcf(c_200,plain,
! [X0: $i] :
( aSet0(X0)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f582]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f581]) ).
tcf(c_202,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f580]) ).
tcf(c_203,plain,
! [X0: $i] :
( ( sbrdtbr0(X0) = xK )
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f579]) ).
tcf(c_204,plain,
! [X0: $i] :
( aElementOf0(X0,szDzozmdt0(xc))
| ~ aSet0(X0)
| ~ aElementOf0(sK44(X0),xS)
| ( sbrdtbr0(X0) != xK ) ),
inference(cnf_transformation,[],[f578]) ).
tcf(c_205,plain,
! [X0: $i] :
( aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sK44(X0),X0)
| ~ aSet0(X0)
| ( sbrdtbr0(X0) != xK ) ),
inference(cnf_transformation,[],[f577]) ).
tcf(c_206,plain,
! [X0: $i] :
( aElementOf0(X0,szDzozmdt0(xc))
| ~ aSubsetOf0(X0,xS)
| ( sbrdtbr0(X0) != xK ) ),
inference(cnf_transformation,[],[f576]) ).
tcf(c_207,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(cnf_transformation,[],[f575]) ).
tcf(c_208,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnf_transformation,[],[f574]) ).
tcf(c_209,plain,
! [X0: $i] :
( aElementOf0(sdtlpdtrp0(xc,X0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f836]) ).
tcf(c_210,plain,
! [X0: $i] :
( aElementOf0(sK45(X0),szDzozmdt0(xc))
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f572]) ).
tcf(c_211,plain,
! [X0: $i] :
( ( sdtlpdtrp0(xc,sK45(X0)) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f571]) ).
tcf(c_212,plain,
! [X0: $i] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f570]) ).
tcf(c_213,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f569]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(X2,sK46(X0,X1,X2),X0,X1)
| ~ sP7(X0,X1,X2)
| ~ aSet0(sK46(X0,X1,X2))
| ~ aElementOf0(sK47(X0,X1,X2),X0)
| ( sbrdtbr0(sK46(X0,X1,X2)) != X1 ) ),
inference(cnf_transformation,[],[f588]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(X2,sK46(X0,X1,X2),X0,X1)
| aElementOf0(sK47(X0,X1,X2),sK46(X0,X1,X2))
| ~ sP7(X0,X1,X2)
| ~ aSet0(sK46(X0,X1,X2))
| ( sbrdtbr0(sK46(X0,X1,X2)) != X1 ) ),
inference(cnf_transformation,[],[f587]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(X2,sK46(X0,X1,X2),X0,X1)
| ~ sP7(X0,X1,X2)
| ~ aSubsetOf0(sK46(X0,X1,X2),X0)
| ( sbrdtbr0(sK46(X0,X1,X2)) != X1 ) ),
inference(cnf_transformation,[],[f586]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK46(X0,X1,X2),szDzozmdt0(X2))
| sP4(X2,sK46(X0,X1,X2),X0,X1)
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f585]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sP7(X0,X1,X2)
| ( slbdtsldtrb0(X0,X1) != szDzozmdt0(X2) ) ),
inference(cnf_transformation,[],[f584]) ).
tcf(c_219,plain,
! [X0: $i] :
( ~ sP6(X0)
| ~ aElementOf0(sK48(X0),xT) ),
inference(cnf_transformation,[],[f595]) ).
tcf(c_220,plain,
! [X0: $i] :
( aElementOf0(sK48(X0),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f594]) ).
tcf(c_221,plain,
! [X0: $i] :
( ~ sP6(X0)
| ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),xT) ),
inference(cnf_transformation,[],[f593]) ).
tcf(c_222,plain,
! [X0: $i] :
( aSet0(sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f592]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtlpdtrp0(X1,X0),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ sP6(X1)
| ~ aElementOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f837]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK49(X1,X0),szDzozmdt0(X1))
| ~ sP6(X1)
| ~ aElementOf0(X0,sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
inference(cnf_transformation,[],[f590]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i] :
( ( sdtlpdtrp0(X1,sK49(X1,X0)) = X0 )
| ~ sP6(X1)
| ~ aElementOf0(X0,sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
inference(cnf_transformation,[],[f589]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aSet0(sK50(X0,X1,X2,X3))
| ~ sP5(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f603]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(X0,X1)
| ~ sP5(X1,X2,X3,X4)
| ~ aElementOf0(X0,sK50(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f602]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aSubsetOf0(sK50(X0,X1,X2,X3),X0)
| ~ sP5(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f601]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( isCountable0(sK50(X0,X1,X2,X3))
| ~ sP5(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f600]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtlpdtrp0(X2,X3) = X1 )
| ~ aSet0(X3)
| ~ sP5(X0,X1,X2,sbrdtbr0(X3))
| ~ aElementOf0(sK51(X0,X1,X2,sbrdtbr0(X3),X3),sK50(X0,X1,X2,sbrdtbr0(X3))) ),
inference(cnf_transformation,[],[f838]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK51(X0,X1,X2,sbrdtbr0(X3),X3),X3)
| ( sdtlpdtrp0(X2,X3) = X1 )
| ~ aSet0(X3)
| ~ sP5(X0,X1,X2,sbrdtbr0(X3)) ),
inference(cnf_transformation,[],[f839]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtlpdtrp0(X3,X0) = X2 )
| ~ sP5(X1,X2,X3,sbrdtbr0(X0))
| ~ aSubsetOf0(X0,sK50(X1,X2,X3,sbrdtbr0(X0))) ),
inference(cnf_transformation,[],[f840]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtlpdtrp0(X3,X0) = X2 )
| ~ sP5(X1,X2,X3,X4)
| ~ aElementOf0(X0,slbdtsldtrb0(sK50(X1,X2,X3,X4),X4)) ),
inference(cnf_transformation,[],[f596]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP6(X2)
| sP7(X0,X1,X2)
| aElementOf0(sK52(X1,X0,X2),xT)
| ~ aFunction0(X2)
| ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ iLess0(X1,xK)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK53(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f614]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP6(X2)
| aElementOf0(sK53(X1),X1)
| sP7(X1,X0,X2)
| aElementOf0(sK52(X0,X1,X2),xT)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ iLess0(X0,xK)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP6(X2)
| sP7(X1,X0,X2)
| aElementOf0(sK52(X0,X1,X2),xT)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f612]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP6(X2)
| sP7(X0,X1,X2)
| sP5(X0,sK52(X1,X0,X2),X2,X1)
| ~ aFunction0(X2)
| ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ iLess0(X1,xK)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK53(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f611]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP6(X2)
| aElementOf0(sK53(X1),X1)
| sP7(X1,X0,X2)
| sP5(X1,sK52(X0,X1,X2),X2,X0)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ iLess0(X0,xK)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f610]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP6(X2)
| sP7(X1,X0,X2)
| sP5(X1,sK52(X0,X1,X2),X2,X0)
| ~ aFunction0(X2)
| ~ isCountable0(X1)
| ~ iLess0(X0,xK)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f609]) ).
tcf(c_246,plain,
sz00 != xK,
inference(cnf_transformation,[],[f616]) ).
tcf(c_247,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f618]) ).
tcf(c_248,plain,
szszuzczcdt0(xk) = xK,
inference(cnf_transformation,[],[f617]) ).
tcf(c_249,plain,
! [X0: $i] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f626]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X0)
| ~ sP9(X1)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f625]) ).
tcf(c_251,plain,
! [X0: $i] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f624]) ).
tcf(c_252,plain,
! [X0: $i] :
( sP8(X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f623]) ).
tcf(c_253,plain,
! [X0: $i] :
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f622]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP9(X1)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(cnf_transformation,[],[f621]) ).
tcf(c_255,plain,
! [X0: $i] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f620]) ).
tcf(c_256,plain,
! [X0: $i] :
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f619]) ).
tcf(c_261,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f636]) ).
tcf(c_262,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(cnf_transformation,[],[f635]) ).
tcf(c_263,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf_transformation,[],[f634]) ).
tcf(c_265,plain,
! [X0: $i] :
( sP9(X0)
| aElementOf0(sK54(X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f632]) ).
tcf(c_266,plain,
! [X0: $i] :
( sP9(X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f631]) ).
tcf(c_267,plain,
! [X0: $i] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f640]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f639]) ).
tcf(c_269,plain,
! [X0: $i] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f638]) ).
tcf(c_270,plain,
! [X0: $i] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f637]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f642]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f641]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),sK55(X0,X1)) ),
inference(cnf_transformation,[],[f647]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK55(X0,X1),sdtlpdtrp0(xN,X1))
| ( X0 = X1 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f646]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
inference(cnf_transformation,[],[f645]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i] :
( ~ sP12(X1,X0)
| ~ aElementOf0(sK56(X1,X0),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f655]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK56(X1,X0),X0)
| ~ sP12(X1,X0)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f654]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i] :
( ~ sP12(X1,X0)
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f653]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i] :
( ~ sP12(X1,X0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ),
inference(cnf_transformation,[],[f652]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f651]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i] :
( sP10(X0)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f650]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f649]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X0)
| ~ sP12(X1,X2)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f648]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElement0(X0)
| ~ sP11(X1,X2)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f659]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP11(X1,X0)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0))) ),
inference(cnf_transformation,[],[f842]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ~ sP11(X1,X2)
| ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) ),
inference(cnf_transformation,[],[f657]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X1)
| ( szmzizndt0(sdtlpdtrp0(xN,X2)) = X0 )
| ~ sP11(X1,X2)
| ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) ),
inference(cnf_transformation,[],[f656]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i] :
( sP12(X0,X1)
| aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f669]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i] :
( sP11(X1,X0)
| sP12(X0,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f668]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,xS)
| sP12(X2,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) ),
inference(cnf_transformation,[],[f667]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] :
( sP12(X0,X1)
| aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f666]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] :
( sP12(X0,X1)
| ( sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK )
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f665]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] :
( sP12(X0,X1)
| aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f664]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( szmzizndt0(sdtlpdtrp0(xN,X1)) = X0 )
| ~ sP17(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f675]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ sP17(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f674]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP17(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f673]) ).
tcf(c_305,plain,
! [X0: $i] :
( ~ sP17(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f844]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i] :
( aSet0(X0)
| ~ sP16(X1)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1))) ),
inference(cnf_transformation,[],[f682]) ).
tcf(c_307,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP16(X1)
| ~ aElementOf0(X2,X0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1))) ),
inference(cnf_transformation,[],[f681]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP16(X1)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1))) ),
inference(cnf_transformation,[],[f680]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i] :
( ( sbrdtbr0(X0) = xk )
| ~ sP16(X1)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1))) ),
inference(cnf_transformation,[],[f679]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP16(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK57(X1,X0),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f678]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK57(X1,X0),X0)
| aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP16(X1)
| ~ aSet0(X0)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f677]) ).
tcf(c_312,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ sP16(X1)
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f676]) ).
tcf(c_313,plain,
! [X0: $i,X1: $i] :
( sP14(X1,X0)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ sP15(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f689]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP14(X1,X2)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X0)
| ~ sP15(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f688]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP14(X2,X1)
| aElementOf0(X0,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ sP15(X2)
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f687]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i] :
( sP14(X0,X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP15(X0)
| ~ aSet0(X1)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,X0))) ),
inference(cnf_transformation,[],[f845]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| sP14(X2,X1)
| ~ sP15(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) ),
inference(cnf_transformation,[],[f685]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP14(X2,X1)
| aElementOf0(X0,X1)
| ( szmzizndt0(sdtlpdtrp0(xN,X2)) = X0 )
| ~ sP15(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) ),
inference(cnf_transformation,[],[f684]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] :
( sP14(X1,X0)
| ( sdtlpdtrp0(xc,sdtpldt0(X0,szmzizndt0(sdtlpdtrp0(xN,X1)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) )
| ~ sP15(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f683]) ).
tcf(c_320,plain,
! [X0: $i,X1: $i] :
( ~ sP14(X1,X0)
| ~ aElementOf0(sK58(X1,X0),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f697]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK58(X1,X0),X0)
| ~ sP14(X1,X0)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f696]) ).
tcf(c_322,plain,
! [X0: $i,X1: $i] :
( ~ sP14(X1,X0)
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f695]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i] :
( ~ sP14(X1,X0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ),
inference(cnf_transformation,[],[f694]) ).
tcf(c_324,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f693]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i] :
( sP13(X0)
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f692]) ).
tcf(c_326,plain,
! [X0: $i,X1: $i] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP14(X0,X1) ),
inference(cnf_transformation,[],[f691]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X0)
| ~ sP14(X1,X2)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f690]) ).
tcf(c_332,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f711]) ).
tcf(c_333,plain,
szDzozmdt0(xC) = szNzAzT0,
inference(cnf_transformation,[],[f710]) ).
tcf(c_334,plain,
! [X0: $i] :
( aFunction0(sdtlpdtrp0(xC,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f709]) ).
tcf(c_335,plain,
! [X0: $i] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f708]) ).
tcf(c_336,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f707]) ).
tcf(c_337,plain,
! [X0: $i] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f706]) ).
tcf(c_338,plain,
! [X0: $i] :
( sP17(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f705]) ).
tcf(c_339,plain,
! [X0: $i] :
( sP16(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f704]) ).
tcf(c_340,plain,
! [X0: $i] :
( ( slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f703]) ).
tcf(c_341,plain,
! [X0: $i] :
( sP15(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f702]) ).
tcf(c_342,plain,
! [X0: $i] :
( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f717]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0),sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szDzozmdt0(sdtlpdtrp0(xC,X1))) ),
inference(cnf_transformation,[],[f847]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK59(X1,X0),szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1)))) ),
inference(cnf_transformation,[],[f715]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),sK59(X1,X0)) = X0 )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1)))) ),
inference(cnf_transformation,[],[f714]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1)))) ),
inference(cnf_transformation,[],[f713]) ).
tcf(c_347,plain,
! [X0: $i] :
( aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X0),szDzozmdt0(sdtlpdtrp0(xC,X0))),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f712]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i] :
( ~ aSet0(X0)
| ~ sP21(X0,X1)
| ~ aElementOf0(sK60(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f724]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK60(X0,X1),X0)
| ~ aSet0(X0)
| ~ sP21(X0,X1) ),
inference(cnf_transformation,[],[f723]) ).
tcf(c_350,plain,
! [X0: $i,X1: $i] :
( ~ sP21(X0,X1)
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f722]) ).
tcf(c_351,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP21(X0,X1) ),
inference(cnf_transformation,[],[f721]) ).
tcf(c_352,plain,
! [X0: $i,X1: $i] :
( sP18(X1)
| ~ sP21(X0,X1) ),
inference(cnf_transformation,[],[f720]) ).
tcf(c_353,plain,
! [X0: $i,X1: $i] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ sP21(X0,X1) ),
inference(cnf_transformation,[],[f719]) ).
tcf(c_354,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X0)
| ~ sP21(X2,X1)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f718]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f731]) ).
tcf(c_356,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X0)
| ~ sP20(X1,X2)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f730]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f729]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i] :
( sP19(X0)
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f728]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ sP20(X2,X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f727]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f726]) ).
tcf(c_361,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ sP20(X0,X1) ),
inference(cnf_transformation,[],[f725]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( szmzizndt0(sdtlpdtrp0(xN,X1)) = X0 )
| ~ sP19(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f735]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ sP19(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f734]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP19(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f733]) ).
tcf(c_365,plain,
! [X0: $i] :
( ~ sP19(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f848]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP20(X2,X0)
| sP21(X1,X2)
| ~ isCountable0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(sK61(X1,X0),X1)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f743]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP20(X1,X0)
| sP21(X2,X1)
| aElementOf0(sK61(X2,X0),X0)
| ~ isCountable0(X2)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f742]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP20(X2,X0)
| sP21(X1,X2)
| ~ isCountable0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(X0,X1)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f741]) ).
tcf(c_373,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP20(X2,X0)
| sP21(X1,X2)
| ~ isCountable0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,slbdtsldtrb0(X1,xk)) ),
inference(cnf_transformation,[],[f740]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f752]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X0)
| ~ sP24(X1,X2)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f751]) ).
tcf(c_376,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f750]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i] :
( sP23(X0)
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f749]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( aSet0(sK62(X0,X1))
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f748]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ sP24(X1,X2)
| ~ aElementOf0(X0,sK62(X1,X2)) ),
inference(cnf_transformation,[],[f747]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(sK62(X0,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f746]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i] :
( isCountable0(sK62(X0,X1))
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f745]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( sP22(X1,X0,sK62(X0,X1))
| ~ sP24(X0,X1) ),
inference(cnf_transformation,[],[f744]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( szmzizndt0(sdtlpdtrp0(xN,X1)) = X0 )
| ~ sP23(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f756]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ sP23(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f755]) ).
tcf(c_385,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP23(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f754]) ).
tcf(c_386,plain,
! [X0: $i] :
( ~ sP23(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f850]) ).
tcf(c_391,plain,
! [X0: $i] :
( aElementOf0(sK64(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f762]) ).
tcf(c_392,plain,
! [X0: $i] :
( sP24(X0,sK64(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f761]) ).
tcf(c_393,plain,
! [X0: $i] :
( aElementOf0(sK65(X0),xT)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f767]) ).
tcf(c_394,plain,
! [X0: $i,X1: $i] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) = sK65(X1) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK66(X1,X0),sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f766]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK66(X1,X0),X0)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) = sK65(X1) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f765]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) = sK65(X1) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f764]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) = sK65(X1) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
inference(cnf_transformation,[],[f763]) ).
tcf(c_398,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f772]) ).
tcf(c_399,plain,
szDzozmdt0(xe) = szNzAzT0,
inference(cnf_transformation,[],[f771]) ).
tcf(c_400,plain,
! [X0: $i] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f770]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtlpdtrp0(xe,X1),X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f769]) ).
tcf(c_402,plain,
! [X0: $i] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f768]) ).
tcf(c_403,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f778]) ).
tcf(c_404,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(cnf_transformation,[],[f777]) ).
tcf(c_405,plain,
! [X0: $i,X1: $i] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) = sdtlpdtrp0(xd,X1) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(sK67(X1,X0),sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f776]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK67(X1,X0),X0)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) = sdtlpdtrp0(xd,X1) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f775]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) = sdtlpdtrp0(xd,X1) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f774]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X0) = sdtlpdtrp0(xd,X1) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ),
inference(cnf_transformation,[],[f773]) ).
tcf(c_409,plain,
aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(cnf_transformation,[],[f782]) ).
tcf(c_410,plain,
! [X0: $i] :
( aElementOf0(sdtlpdtrp0(xd,X0),sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aElementOf0(X0,szDzozmdt0(xd)) ),
inference(cnf_transformation,[],[f851]) ).
tcf(c_411,plain,
! [X0: $i] :
( aElementOf0(sK68(X0),szDzozmdt0(xd))
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f780]) ).
tcf(c_412,plain,
! [X0: $i] :
( ( sdtlpdtrp0(xd,sK68(X0)) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f779]) ).
tcf(c_413,plain,
aElementOf0(sK69,szDzozmdt0(xd)),
inference(cnf_transformation,[],[f785]) ).
tcf(c_414,plain,
sdtlpdtrp0(xd,sK69) = xx,
inference(cnf_transformation,[],[f784]) ).
tcf(c_415,plain,
aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(cnf_transformation,[],[f783]) ).
tcf(c_416,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f787]) ).
tcf(c_417,plain,
sdtlpdtrp0(xd,xi) = xx,
inference(cnf_transformation,[],[f786]) ).
tcf(c_418,plain,
aSet0(xX),
inference(cnf_transformation,[],[f797]) ).
tcf(c_419,plain,
! [X0: $i] :
( aSet0(X0)
| ~ aElementOf0(X0,xX) ),
inference(cnf_transformation,[],[f796]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X1,xX)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f795]) ).
tcf(c_421,plain,
! [X0: $i] :
( aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X0,xX) ),
inference(cnf_transformation,[],[f794]) ).
tcf(c_422,plain,
! [X0: $i] :
( ( sbrdtbr0(X0) = xk )
| ~ aElementOf0(X0,xX) ),
inference(cnf_transformation,[],[f793]) ).
tcf(c_423,plain,
! [X0: $i] :
( aElementOf0(X0,xX)
| ~ aSet0(X0)
| ~ aElementOf0(sK70(X0),sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f792]) ).
tcf(c_424,plain,
! [X0: $i] :
( aElementOf0(X0,xX)
| aElementOf0(sK70(X0),X0)
| ~ aSet0(X0)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f791]) ).
tcf(c_425,plain,
! [X0: $i] :
( aElementOf0(X0,xX)
| ~ aSubsetOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f790]) ).
tcf(c_426,plain,
slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk) = xX,
inference(cnf_transformation,[],[f789]) ).
tcf(c_427,plain,
aElementOf0(sK71,xX),
inference(cnf_transformation,[],[f788]) ).
tcf(c_428,negated_conjecture,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f798]) ).
tcf(c_745,plain,
~ isCountable0(slcrc0),
inference(global_subsumption_just,[status(thm)],[c_55,c_51,c_55]) ).
tcf(c_747,plain,
sbrdtbr0(slcrc0) = sz00,
inference(global_subsumption_just,[status(thm)],[c_116,c_51,c_116]) ).
tcf(c_754,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_141,c_137,c_141]) ).
tcf(c_756,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_58,c_62]) ).
tcf(c_757,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(renaming,[status(thm)],[c_756]) ).
tcf(c_758,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_58,c_63]) ).
tcf(c_759,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(renaming,[status(thm)],[c_758]) ).
tcf(c_760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ aSet0(X2)
| ~ sP15(X1)
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_314,c_327,c_314]) ).
tcf(c_761,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X0)
| ~ sP15(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(renaming,[status(thm)],[c_760]) ).
tcf(c_767,plain,
! [X0: $i] :
( sP9(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_265,c_270,c_269,c_266]) ).
tcf(c_769,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP14(X2,X1)
| aElementOf0(X0,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ sP15(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_315,c_49,c_315]) ).
tcf(c_1119,plain,
! [X0: $i,X1: $i] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ sP15(X1)
| ~ aSet0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_313,c_326]) ).
tcf(c_1392,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtlbdtrb0(X1,sdtlpdtrp0(X1,X0)))
| ~ aFunction0(X1)
| ~ aElementOf0(X0,szDzozmdt0(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_169,c_164]) ).
tcf(c_18872,plain,
! [X0: $i] :
( ( sdtexdt0(X0,szDzozmdt0(X0)) = X0 )
| ~ aFunction0(X0)
| ~ aSubsetOf0(szDzozmdt0(X0),szDzozmdt0(X0)) ),
inference(equality_resolution,[status(thm)],[c_181]) ).
fof(f245,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f246,definition,
! [X1,X0] :
( ~ sP1(X1,X0)
| ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> sP0(X2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f247,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(definition_folding,[],[f133,f246,f245]) ).
fof(f248,definition,
! [X2,X0,X1] :
( sP2(X2,X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f249,definition,
! [X1,X0] :
( ~ sP3(X1,X0)
| ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> sP2(X2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f250,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP3(X1,X0) ),
inference(definition_folding,[],[f135,f249,f248]) ).
fof(f251,definition,
! [X3,X4,X1,X0] :
( ~ sP4(X3,X4,X1,X0)
| ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(X6,X1) )
& aSet0(X4)
& ~ aElementOf0(X4,szDzozmdt0(X3)) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f252,definition,
! [X1,X10,X3,X0] :
( ~ sP5(X1,X10,X3,X0)
| ? [X11] :
( ! [X13] :
( ( ~ aElementOf0(X13,slbdtsldtrb0(X11,X0))
& ( sbrdtbr0(X13) != X0
| ( ~ aSubsetOf0(X13,X11)
& ( ? [X14] :
( aElementOf0(X14,X13)
& ~ aElementOf0(X14,X11) )
| ~ aSet0(X13) ) ) ) )
| sdtlpdtrp0(X3,X13) = X10 )
& isCountable0(X11)
& aSubsetOf0(X11,X1)
& ! [X12] :
( ~ aElementOf0(X12,X11)
| aElementOf0(X12,X1) )
& aSet0(X11) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f253,definition,
! [X3] :
( ~ sP6(X3)
| ( ! [X7] :
( aElementOf0(X7,sdtlcdtrc0(X3,szDzozmdt0(X3)))
<=> ? [X8] :
( sdtlpdtrp0(X3,X8) = X7
& aElementOf0(X8,szDzozmdt0(X3)) ) )
& aSet0(sdtlcdtrc0(X3,szDzozmdt0(X3)))
& ~ aSubsetOf0(sdtlcdtrc0(X3,szDzozmdt0(X3)),xT)
& ? [X9] :
( aElementOf0(X9,sdtlcdtrc0(X3,szDzozmdt0(X3)))
& ~ aElementOf0(X9,xT) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f254,definition,
! [X1,X0,X3] :
( ~ sP7(X1,X0,X3)
| ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X3)
& ? [X4] :
( sP4(X3,X4,X1,X0)
| ( aElementOf0(X4,szDzozmdt0(X3))
& ( sbrdtbr0(X4) != X0
| ( ~ aSubsetOf0(X4,X1)
& ( ? [X5] :
( aElementOf0(X5,X4)
& ~ aElementOf0(X5,X1) )
| ~ aSet0(X4) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f255,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,szNzAzT0)
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,szNzAzT0) )
| ~ aSet0(X1) ) )
| ! [X3] :
( sP6(X3)
| sP7(X1,X0,X3)
| ~ aFunction0(X3)
| ~ iLess0(X0,xK)
| ? [X10] :
( sP5(X1,X10,X3,X0)
& aElementOf0(X10,xT) ) ) ) ),
inference(definition_folding,[],[f221,f254,f253,f252,f251]) ).
fof(f256,definition,
! [X0] :
( ~ sP8(X0)
| ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f257,definition,
! [X0] :
( ~ sP9(X0)
| ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP8(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f258,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
& ~ aElementOf0(X1,szNzAzT0) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| sP9(X0) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ),
inference(definition_folding,[],[f223,f257,f256]) ).
fof(f259,definition,
! [X0] :
( ~ sP10(X0)
| ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f260,definition,
! [X1,X0] :
( ~ sP11(X1,X0)
| ! [X6] :
( aElementOf0(X6,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X6
| aElementOf0(X6,X1) )
& aElement0(X6) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f261,definition,
! [X0,X1] :
( ~ sP12(X0,X1)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sP10(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( aElementOf0(X4,X1)
& ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f262,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( sP12(X0,X1)
| ~ aSet0(X1)
| ( aElementOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),slbdtsldtrb0(xS,xK))
& sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) = xK
& aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))),xS)
& ! [X7] :
( ~ aElementOf0(X7,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X7,xS) )
& sP11(X1,X0)
& aSet0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
inference(definition_folding,[],[f230,f261,f260,f259]) ).
fof(f263,definition,
! [X0] :
( ~ sP13(X0)
| ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f264,definition,
! [X0,X6] :
( ~ sP14(X0,X6)
| ( ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sP13(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aElementOf0(X6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( xk != sbrdtbr0(X6)
| ( ~ aSubsetOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( aElementOf0(X9,X6)
& ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f265,definition,
! [X0] :
( ~ sP15(X0)
| ! [X6] :
( sP14(X0,X6)
| ~ aSet0(X6)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = sdtlpdtrp0(xc,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtpldt0(X6,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X11
| aElementOf0(X11,X6) )
& aElement0(X11) ) )
& ! [X10] :
( ~ aElementOf0(X10,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X10) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f266,definition,
! [X0] :
( ~ sP16(X0)
| ! [X3] :
( ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X3) ) )
| aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ( sbrdtbr0(X3) = xk
& aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X3) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f267,definition,
! [X0] :
( ~ sP17(X0)
| ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f268,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( sP15(X0)
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& sP16(X0)
& sP17(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
inference(definition_folding,[],[f232,f267,f266,f265,f264,f263]) ).
fof(f269,definition,
! [X0] :
( ~ sP18(X0)
| ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f270,definition,
! [X0] :
( ~ sP19(X0)
| ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f271,definition,
! [X0,X5] :
( ~ sP20(X0,X5)
| ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( ~ aElementOf0(X9,X5)
| aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& sP19(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( ~ aElementOf0(X7,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f272,definition,
! [X1,X0] :
( ~ sP21(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& sP18(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X4] :
( aElementOf0(X4,X1)
& ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ aSet0(X1) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f273,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ isCountable0(X1)
| sP21(X1,X0)
| ! [X5] :
( ( ~ aElementOf0(X5,slbdtsldtrb0(X1,xk))
& ( sbrdtbr0(X5) != xk
| ( ~ aSubsetOf0(X5,X1)
& ? [X6] :
( aElementOf0(X6,X5)
& ~ aElementOf0(X6,X1) ) ) ) )
| ~ aSet0(X5)
| sP20(X0,X5) ) ) ),
inference(definition_folding,[],[f235,f272,f271,f270,f269]) ).
fof(f274,definition,
! [X1,X0,X2] :
( ~ sP22(X1,X0,X2)
| ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(X2,xk))
& ( xk != sbrdtbr0(X6)
| ( ~ aSubsetOf0(X6,X2)
& ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,X2) ) ) ) )
| ~ aSet0(X6)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = X1 ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f275,definition,
! [X0] :
( ~ sP23(X0)
| ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f276,definition,
! [X0,X1] :
( ~ sP24(X0,X1)
| ? [X2] :
( sP22(X1,X0,X2)
& isCountable0(X2)
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( ~ aElementOf0(X5,X2)
| aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X2)
& sP23(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f277,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( sP24(X0,X1)
& aElementOf0(X1,xT) ) ),
inference(definition_folding,[],[f237,f276,f275,f274]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ( ~ sP0(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) ) )
| ~ aSet0(X2)
| sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f245]) ).
fof(f289,plain,
! [X2,X0,X1] :
( ( ~ sP0(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) ) )
| ~ aSet0(X2)
| sP0(X2,X0,X1) ) ),
inference(flattening,[],[f288]) ).
fof(f290,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X4] :
( ( ~ aElementOf0(X4,X0)
| ( ( X2 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) ) )
& ( ( X2 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4)
| aElementOf0(X4,X0) ) )
& aSet0(X0) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X0)
| ( ( X2 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X0)
| ( X2 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3) ) )
| ~ aSet0(X0)
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f289]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X4] :
( ( ~ aElementOf0(X4,X0)
| ( ( X2 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) ) )
& ( ( X2 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4)
| aElementOf0(X4,X0) ) )
& aSet0(X0) ) )
& ( ( ( aElementOf0(sK27(X0,X1,X2),X0)
| ( ( sK27(X0,X1,X2) = X2
| aElementOf0(sK27(X0,X1,X2),X1) )
& aElement0(sK27(X0,X1,X2)) ) )
& ( ~ aElementOf0(sK27(X0,X1,X2),X0)
| ( sK27(X0,X1,X2) != X2
& ~ aElementOf0(sK27(X0,X1,X2),X1) )
| ~ aElement0(sK27(X0,X1,X2)) ) )
| ~ aSet0(X0)
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X3,sK27(X0,X1,X2))],[f290]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ( ~ sP2(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) ) )
| ~ aSet0(X2)
| sP2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f248]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ( ~ sP2(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) ) )
| ~ aSet0(X2)
| sP2(X2,X0,X1) ) ),
inference(flattening,[],[f294]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ( ~ sP2(X0,X1,X2)
| ( ! [X4] :
( ( ~ aElementOf0(X4,X0)
| ( X2 != X4
& aElementOf0(X4,X1)
& aElement0(X4) ) )
& ( X2 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ) )
& aSet0(X0) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X0)
| ( X2 != X3
& aElementOf0(X3,X1)
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X0)
| X2 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3) ) )
| ~ aSet0(X0)
| sP2(X0,X1,X2) ) ),
inference(rectify,[],[f295]) ).
fof(f297,plain,
! [X0,X1,X2] :
( ( ~ sP2(X0,X1,X2)
| ( ! [X4] :
( ( ~ aElementOf0(X4,X0)
| ( X2 != X4
& aElementOf0(X4,X1)
& aElement0(X4) ) )
& ( X2 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ) )
& aSet0(X0) ) )
& ( ( ( aElementOf0(sK28(X0,X1,X2),X0)
| ( sK28(X0,X1,X2) != X2
& aElementOf0(sK28(X0,X1,X2),X1)
& aElement0(sK28(X0,X1,X2)) ) )
& ( ~ aElementOf0(sK28(X0,X1,X2),X0)
| sK28(X0,X1,X2) = X2
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2)) ) )
| ~ aSet0(X0)
| sP2(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X3,sK28(X0,X1,X2))],[f296]) ).
fof(f349,plain,
! [X3,X4,X1,X0] :
( ~ sP4(X3,X4,X1,X0)
| ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1)
& ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(X6,X1) )
& aSet0(X4)
& ~ aElementOf0(X4,szDzozmdt0(X3)) ) ),
inference(nnf_transformation,[],[f251]) ).
fof(f350,plain,
! [X0,X1,X2,X3] :
( ~ sP4(X0,X1,X2,X3)
| ( sbrdtbr0(X1) = X3
& aSubsetOf0(X1,X2)
& ! [X4] :
( ~ aElementOf0(X4,X1)
| aElementOf0(X4,X2) )
& aSet0(X1)
& ~ aElementOf0(X1,szDzozmdt0(X0)) ) ),
inference(rectify,[],[f349]) ).
fof(f355,plain,
! [X0] :
( ~ sP8(X0)
| ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3)
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(nnf_transformation,[],[f256]) ).
fof(f356,plain,
! [X0] :
( ~ sP8(X0)
| ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3)
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(flattening,[],[f355]) ).
fof(f357,plain,
! [X0] :
( ~ sP8(X0)
| ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(rectify,[],[f356]) ).
fof(f367,plain,
! [X0] :
( ~ sP10(X0)
| ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3)
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(nnf_transformation,[],[f259]) ).
fof(f368,plain,
! [X0] :
( ~ sP10(X0)
| ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3)
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(flattening,[],[f367]) ).
fof(f369,plain,
! [X0] :
( ~ sP10(X0)
| ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(rectify,[],[f368]) ).
fof(f383,plain,
! [X0] :
( ~ sP13(X0)
| ! [X8] :
( ( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(nnf_transformation,[],[f263]) ).
fof(f384,plain,
! [X0] :
( ~ sP13(X0)
| ! [X8] :
( ( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(flattening,[],[f383]) ).
fof(f385,plain,
! [X0] :
( ~ sP13(X0)
| ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(rectify,[],[f384]) ).
fof(f397,plain,
! [X0] :
( ~ sP18(X0)
| ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3)
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(nnf_transformation,[],[f269]) ).
fof(f398,plain,
! [X0] :
( ~ sP18(X0)
| ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3)
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(flattening,[],[f397]) ).
fof(f399,plain,
! [X0] :
( ~ sP18(X0)
| ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
inference(rectify,[],[f398]) ).
fof(f408,plain,
! [X1,X0,X2] :
( ~ sP22(X1,X0,X2)
| ! [X6] :
( ( ~ aElementOf0(X6,slbdtsldtrb0(X2,xk))
& ( xk != sbrdtbr0(X6)
| ( ~ aSubsetOf0(X6,X2)
& ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,X2) ) ) ) )
| ~ aSet0(X6)
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X6) = X1 ) ),
inference(nnf_transformation,[],[f274]) ).
fof(f409,plain,
! [X0,X1,X2] :
( ~ sP22(X0,X1,X2)
| ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& ? [X4] :
( aElementOf0(X4,X3)
& ~ aElementOf0(X4,X2) ) ) ) )
| ~ aSet0(X3)
| sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0 ) ),
inference(rectify,[],[f408]) ).
fof(f410,plain,
! [X0,X1,X2] :
( ~ sP22(X0,X1,X2)
| ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,X2)
& aElementOf0(sK63(X2,X3),X3)
& ~ aElementOf0(sK63(X2,X3),X2) ) ) )
| ~ aSet0(X3)
| sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(X4,sK63(X2,X3))],[f409]) ).
fof(f436,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| X2 = X4
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f291]) ).
fof(f437,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElement0(X4) ),
inference(cnf_transformation,[],[f291]) ).
fof(f438,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| X2 != X4
| ~ aElement0(X4)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f439,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f440,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f441,plain,
! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X0)
| sK27(X0,X1,X2) = X2
| aElementOf0(sK27(X0,X1,X2),X1)
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f442,plain,
! [X2,X0,X1] :
( aElementOf0(sK27(X0,X1,X2),X0)
| aElement0(sK27(X0,X1,X2))
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f443,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK27(X0,X1,X2),X0)
| sK27(X0,X1,X2) != X2
| ~ aElement0(sK27(X0,X1,X2))
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK27(X0,X1,X2),X0)
| ~ aElementOf0(sK27(X0,X1,X2),X1)
| ~ aElement0(sK27(X0,X1,X2))
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
fof(f448,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| X2 != X4 ),
inference(cnf_transformation,[],[f297]) ).
fof(f449,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f297]) ).
fof(f450,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElement0(X4) ),
inference(cnf_transformation,[],[f297]) ).
fof(f451,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| X2 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f452,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f453,plain,
! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X0)
| sK28(X0,X1,X2) != X2
| ~ aSet0(X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f297]) ).
fof(f454,plain,
! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X0)
| aElementOf0(sK28(X0,X1,X2),X1)
| ~ aSet0(X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f297]) ).
fof(f455,plain,
! [X2,X0,X1] :
( aElementOf0(sK28(X0,X1,X2),X0)
| aElement0(sK28(X0,X1,X2))
| ~ aSet0(X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f297]) ).
fof(f456,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK28(X0,X1,X2),X0)
| sK28(X0,X1,X2) = X2
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElement0(sK28(X0,X1,X2))
| ~ aSet0(X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f297]) ).
fof(f604,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,X1,X2,X3)
| sbrdtbr0(X1) = X3 ),
inference(cnf_transformation,[],[f350]) ).
fof(f605,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,X1,X2,X3)
| aSubsetOf0(X1,X2) ),
inference(cnf_transformation,[],[f350]) ).
fof(f606,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP4(X0,X1,X2,X3)
| ~ aElementOf0(X4,X1)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f350]) ).
fof(f607,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,X1,X2,X3)
| aSet0(X1) ),
inference(cnf_transformation,[],[f350]) ).
fof(f608,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,X1,X2,X3)
| ~ aElementOf0(X1,szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f350]) ).
fof(f627,plain,
! [X0,X1] :
( ~ sP8(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 ),
inference(cnf_transformation,[],[f357]) ).
fof(f628,plain,
! [X0,X1] :
( ~ sP8(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f357]) ).
fof(f629,plain,
! [X0,X1] :
( ~ sP8(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1) ),
inference(cnf_transformation,[],[f357]) ).
fof(f630,plain,
! [X0,X1] :
( ~ sP8(X0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f357]) ).
fof(f660,plain,
! [X0,X1] :
( ~ sP10(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 ),
inference(cnf_transformation,[],[f369]) ).
fof(f661,plain,
! [X0,X1] :
( ~ sP10(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f369]) ).
fof(f662,plain,
! [X0,X1] :
( ~ sP10(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1) ),
inference(cnf_transformation,[],[f369]) ).
fof(f663,plain,
! [X0,X1] :
( ~ sP10(X0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f369]) ).
fof(f698,plain,
! [X0,X1] :
( ~ sP13(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 ),
inference(cnf_transformation,[],[f385]) ).
fof(f699,plain,
! [X0,X1] :
( ~ sP13(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f385]) ).
fof(f700,plain,
! [X0,X1] :
( ~ sP13(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1) ),
inference(cnf_transformation,[],[f385]) ).
fof(f701,plain,
! [X0,X1] :
( ~ sP13(X0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f385]) ).
fof(f736,plain,
! [X0,X1] :
( ~ sP18(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 ),
inference(cnf_transformation,[],[f399]) ).
fof(f737,plain,
! [X0,X1] :
( ~ sP18(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElementOf0(X1,sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f399]) ).
fof(f738,plain,
! [X0,X1] :
( ~ sP18(X0)
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| aElement0(X1) ),
inference(cnf_transformation,[],[f399]) ).
fof(f739,plain,
! [X0,X1] :
( ~ sP18(X0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f399]) ).
fof(f757,plain,
! [X2,X3,X0,X1] :
( ~ sP22(X0,X1,X2)
| ~ aElementOf0(X3,slbdtsldtrb0(X2,xk))
| ~ aSet0(X3)
| sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0 ),
inference(cnf_transformation,[],[f410]) ).
fof(f758,plain,
! [X2,X3,X0,X1] :
( ~ sP22(X0,X1,X2)
| sbrdtbr0(X3) != xk
| ~ aSubsetOf0(X3,X2)
| ~ aSet0(X3)
| sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0 ),
inference(cnf_transformation,[],[f410]) ).
fof(f759,plain,
! [X2,X3,X0,X1] :
( ~ sP22(X0,X1,X2)
| sbrdtbr0(X3) != xk
| aElementOf0(sK63(X2,X3),X3)
| ~ aSet0(X3)
| sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0 ),
inference(cnf_transformation,[],[f410]) ).
fof(f760,plain,
! [X2,X3,X0,X1] :
( ~ sP22(X0,X1,X2)
| sbrdtbr0(X3) != xk
| ~ aElementOf0(sK63(X2,X3),X2)
| ~ aSet0(X3)
| sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X0 ),
inference(cnf_transformation,[],[f410]) ).
fof(f803,plain,
! [X0,X1,X4] :
( ~ sP0(X0,X1,X4)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f438]) ).
fof(f805,plain,
! [X0,X1,X4] :
( ~ sP2(X0,X1,X4)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f448]) ).
fof(f841,plain,
! [X0] :
( ~ sP8(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(equality_resolution,[],[f627]) ).
fof(f843,plain,
! [X0] :
( ~ sP10(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(equality_resolution,[],[f660]) ).
fof(f846,plain,
! [X0] :
( ~ sP13(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(equality_resolution,[],[f698]) ).
fof(f849,plain,
! [X0] :
( ~ sP18(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(equality_resolution,[],[f736]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElement0(sK27(X0,X1,X2))
| ~ aElementOf0(sK27(X0,X1,X2),X1)
| ~ aElementOf0(sK27(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f444]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElement0(sK27(X0,X1,X2))
| ~ aElementOf0(sK27(X0,X1,X2),X0)
| ( sK27(X0,X1,X2) != X2 ) ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElement0(sK27(X0,X1,X2))
| aElementOf0(sK27(X0,X1,X2),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElementOf0(sK27(X0,X1,X2),X1)
| aElementOf0(sK27(X0,X1,X2),X0)
| ( sK27(X0,X1,X2) = X2 )
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f441]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSet0(X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f440]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X2,X0)
| ~ aElement0(X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f803]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(X3)
| ~ aElementOf0(X3,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X3,X1)
| ( X2 = X3 )
| ~ aElementOf0(X3,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| ( sK28(X0,X1,X2) = X2 )
| ~ aSet0(X0)
| ~ aElement0(sK28(X0,X1,X2))
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElementOf0(sK28(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f456]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| aElementOf0(sK28(X0,X1,X2),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElementOf0(sK28(X0,X1,X2),X1)
| aElementOf0(sK28(X0,X1,X2),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElementOf0(sK28(X0,X1,X2),X0)
| ~ aSet0(X0)
| ( sK28(X0,X1,X2) != X2 ) ),
inference(cnf_transformation,[],[f453]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSet0(X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f452]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X3,X0)
| ( X2 = X3 )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(X3)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f450]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ aElementOf0(X2,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f805]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ sP4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f608]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aSet0(X1)
| ~ sP4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f607]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ sP4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f606]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aSubsetOf0(X1,X2)
| ~ sP4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f605]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sbrdtbr0(X1) = X3 )
| ~ sP4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f604]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( szmzizndt0(sdtlpdtrp0(xN,X1)) = X0 )
| ~ sP8(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f630]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ sP8(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f629]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP8(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f628]) ).
tcf(c_260,plain,
! [X0: $i] :
( ~ sP8(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f841]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( szmzizndt0(sdtlpdtrp0(xN,X1)) = X0 )
| ~ sP10(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f663]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ sP10(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f662]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP10(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f661]) ).
tcf(c_293,plain,
! [X0: $i] :
( ~ sP10(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f843]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( szmzizndt0(sdtlpdtrp0(xN,X1)) = X0 )
| ~ sP13(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f701]) ).
tcf(c_329,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ sP13(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f700]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP13(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f699]) ).
tcf(c_331,plain,
! [X0: $i] :
( ~ sP13(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f846]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( szmzizndt0(sdtlpdtrp0(xN,X1)) = X0 )
| ~ sP18(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[],[f739]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ sP18(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f738]) ).
tcf(c_368,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtlpdtrp0(xN,X1))
| ~ sP18(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cnf_transformation,[],[f737]) ).
tcf(c_369,plain,
! [X0: $i] :
( ~ sP18(X0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f849]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X3),X0) = X2 )
| ~ aSet0(X0)
| ~ sP22(X2,X3,X1)
| ~ aElementOf0(sK63(X1,X0),X1)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f760]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK63(X3,X0),X0)
| ( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X0) = X1 )
| ~ aSet0(X0)
| ~ sP22(X1,X2,X3)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f759]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X0) = X1 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X3)
| ~ sP22(X1,X2,X3)
| ( sbrdtbr0(X0) != xk ) ),
inference(cnf_transformation,[],[f758]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X3),X0) = X2 )
| ~ aSet0(X0)
| ~ sP22(X2,X3,X1)
| ~ aElementOf0(X0,slbdtsldtrb0(X1,xk)) ),
inference(cnf_transformation,[],[f757]) ).
tcf(c_1266,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElement0(sK27(X0,X1,X2))
| ~ aSet0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_68,c_49]) ).
tcf(c_1267,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElement0(sK28(X0,X1,X2))
| ~ aSet0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_79,c_49]) ).
tcf(c_1270,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sK27(X0,X1,X2),X1)
| ~ aElementOf0(sK27(X0,X1,X2),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_49]) ).
tcf(c_1271,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sK27(X0,X1,X2),X0)
| ( sK27(X0,X1,X2) != X2 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67,c_49]) ).
tcf(c_1272,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| ( sK28(X0,X1,X2) = X2 )
| ~ aSet0(X0)
| ~ aElementOf0(sK28(X0,X1,X2),X1)
| ~ aElementOf0(sK28(X0,X1,X2),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_78,c_49]) ).
tcf(c_27262,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_18872,c_1392,c_1272,c_1271,c_1270,c_1267,c_1266,c_1119,c_769,c_761,c_759,c_757,c_754,c_767,c_747,c_745,c_428,c_427,c_426,c_425,c_424,c_423,c_422,c_421,c_420,c_419,c_418,c_417,c_416,c_415,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_407,c_406,c_405,c_404,c_403,c_402,c_401,c_400,c_399,c_398,c_397,c_396,c_395,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_387,c_386,c_385,c_384,c_383,c_382,c_381,c_380,c_379,c_378,c_377,c_376,c_375,c_374,c_373,c_372,c_371,c_370,c_369,c_368,c_367,c_366,c_365,c_364,c_363,c_362,c_361,c_360,c_359,c_358,c_357,c_356,c_355,c_354,c_353,c_352,c_351,c_350,c_349,c_348,c_347,c_346,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335,c_334,c_333,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_322,c_321,c_320,c_319,c_318,c_317,c_316,c_312,c_311,c_310,c_309,c_308,c_307,c_306,c_305,c_304,c_303,c_302,c_301,c_300,c_299,c_298,c_297,c_296,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_286,c_285,c_284,c_283,c_282,c_281,c_280,c_279,c_278,c_275,c_274,c_273,c_272,c_271,c_270,c_269,c_268,c_267,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_65,c_64,c_61,c_60,c_59,c_58,c_57,c_56,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM595+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 % Computer : n014.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Thu Sep 24 04:49:04 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44
% 0.13/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.44
% 0.13/0.44 % Detected problem language: tptp
% 0.13/0.45 % Proving...
% 48.76/14.84 % SZS status Started for theBenchmark.p
% 48.76/14.84 % SZS status Theorem for theBenchmark.p
% 48.76/14.84
% 48.76/14.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 48.76/14.84
% 48.76/14.84 % ------ iProver source info
% 48.76/14.84
% 48.76/14.84 % git: date: 2026-07-19 20:42:38 +0200
% 48.76/14.84 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 48.76/14.84 % git: non_committed_changes: false
% 48.76/14.84
% 48.76/14.84 % ------ Parsing...
% 48.76/14.84 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 48.76/14.84
% 48.76/14.84 % ------ Preprocessing...%
% 48.76/14.84
% 48.76/14.84 % ------ Preprocessing...%
% 48.76/14.84
% 48.76/14.84 % ------ Preprocessing...
% 48.76/14.84 % ------ Proving...
% 48.76/14.84 % ------ Problem Properties
% 48.76/14.84
% 48.76/14.84 %
% 48.76/14.84 % clauses 373
% 48.76/14.84 % conjectures 1
% 48.76/14.84 % EPR 64
% 48.76/14.84 % Horn 295
% 48.76/14.84 % unary 41
% 48.76/14.84 % binary 101
% 48.76/14.84 % lits 1203
% 48.76/14.84 % lits eq 159
% 48.76/14.84 % fd_pure 0
% 48.76/14.84 % fd_pseudo 0
% 48.76/14.84 % fd_cond 10
% 48.76/14.84 % fd_pseudo_cond 45
% 48.76/14.84 % AC symbols 0
% 48.76/14.84
% 48.76/14.84 % ------ Input Options Time Limit: Unbounded
% 48.76/14.84
% 48.76/14.84
% 48.76/14.84 % ------
% 48.76/14.84 % Current options:
% 48.76/14.84 % ------
% 48.76/14.84
% 48.76/14.84
% 48.76/14.84 %
% 48.76/14.84
% 48.76/14.84 % ------ Proving...
% 48.76/14.84 %
% 48.76/14.84
% 48.76/14.84 % SZS status Theorem for theBenchmark.p
% 48.76/14.84
% 48.76/14.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 48.76/14.86
% 48.76/14.86
%------------------------------------------------------------------------------