TSTP Solution File: NUM570+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM570+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:33:55 EDT 2022
% Result : Theorem 0.82s 98.00s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 37
% Syntax : Number of formulae : 209 ( 36 unt; 0 def)
% Number of atoms : 833 ( 135 equ)
% Maximal formula atoms : 54 ( 3 avg)
% Number of connectives : 1096 ( 472 ~; 482 |; 85 &)
% ( 14 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 305 ( 12 sgn 123 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3623) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCardSeg) ).
fof(m__3435,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3435) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSegZero) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mZeroNum) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCountNFin_01) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefEmp) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefSub) ).
fof(mCDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCDiffSet) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mNATSet) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefSeg) ).
fof(mLessTrans,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mLessTrans) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mLessSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSuccNum) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mLessTotal) ).
fof(mDiffCons,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDiffCons) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mNatExtra) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSuccLess) ).
fof(m__3702,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3702) ).
fof(m__,conjecture,
( xi != sz00
=> ( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(mCConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isCountable0(X2) )
=> isCountable0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCConsSet) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefCons) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mEOfElem) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mIH) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSubTrans) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( iLess0(X1,xi)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3671) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefDiff) ).
fof(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefMin) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSubFSet) ).
fof(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSegLess) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mConsDiff) ).
fof(mCardDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCardDiff) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSubRefl) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCardNum) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSegFin) ).
fof(c_0_35,hypothesis,
! [X2] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])])])]) ).
fof(c_0_36,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sbrdtbr0(slbdtrb0(X2)) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
cnf(c_0_37,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3435]) ).
cnf(c_0_38,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]) ).
cnf(c_0_41,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
fof(c_0_42,plain,
! [X2] :
( ~ aSet0(X2)
| ~ isCountable0(X2)
| X2 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
cnf(c_0_43,hypothesis,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[m__3435]) ).
fof(c_0_44,plain,
! [X3,X4,X3] :
( ( aSet0(X3)
| X3 != slcrc0 )
& ( ~ aElementOf0(X4,X3)
| X3 != slcrc0 )
& ( ~ aSet0(X3)
| aElementOf0(esk3_1(X3),X3)
| X3 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefEmp])])])])])])]) ).
fof(c_0_45,plain,
! [X4,X5,X6,X5] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk1_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk1_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])])]) ).
cnf(c_0_46,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,sz00),szNzAzT0),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
sz00 = sbrdtbr0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_48,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,hypothesis,
isCountable0(sdtlpdtrp0(xN,sz00)),
inference(rw,[status(thm)],[c_0_43,c_0_38]) ).
cnf(c_0_50,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_51,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aSet0(X4)
| ~ isCountable0(X4)
| isCountable0(sdtmndt0(X4,X3)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCDiffSet])])])])]) ).
cnf(c_0_52,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,sbrdtbr0(slcrc0)),szNzAzT0),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_55,hypothesis,
sdtlpdtrp0(xN,sz00) != slcrc0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
fof(c_0_56,plain,
! [X4,X5,X6,X6,X5] :
( ( aSet0(X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X6),X4)
| ~ aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk10_2(X4,X5),X5)
| ~ aElementOf0(esk10_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk10_2(X4,X5)),X4)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(esk10_2(X4,X5),szNzAzT0)
| aElementOf0(esk10_2(X4,X5),X5)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk10_2(X4,X5)),X4)
| aElementOf0(esk10_2(X4,X5),X5)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSeg])])])])])])]) ).
fof(c_0_57,plain,
! [X4,X5,X6] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(c_0_58,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(c_0_59,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( szszuzczcdt0(X2) != sz00
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(c_0_60,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
cnf(c_0_61,plain,
( isCountable0(sdtmndt0(X1,X2))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_62,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aSet0(X4)
| aElementOf0(X3,X4)
| sdtmndt0(sdtpldt0(X4,X3),X3) = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mDiffCons])])]) ).
cnf(c_0_63,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,sbrdtbr0(slcrc0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
cnf(c_0_64,plain,
( X1 = slcrc0
| aElementOf0(esk3_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_65,hypothesis,
sdtlpdtrp0(xN,sbrdtbr0(slcrc0)) != slcrc0,
inference(rw,[status(thm)],[c_0_55,c_0_47]) ).
cnf(c_0_66,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_67,plain,
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_68,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk1_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_69,plain,
( aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_70,plain,
! [X3] :
( ( aElementOf0(esk2_1(X3),szNzAzT0)
| X3 = sz00
| ~ aElementOf0(X3,szNzAzT0) )
& ( X3 = szszuzczcdt0(esk2_1(X3))
| X3 = sz00
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])])])]) ).
fof(c_0_71,plain,
! [X3,X4] :
( ( ~ sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
| sdtlseqdt0(X3,X4)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
cnf(c_0_72,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_73,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_74,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_75,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_76,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3702]) ).
fof(c_0_77,negated_conjecture,
~ ( xi != sz00
=> ( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_78,plain,
( sdtmndt0(X1,X2) != slcrc0
| ~ isCountable0(X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_61]),c_0_50]) ).
cnf(c_0_79,plain,
( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
| aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_80,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_81,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aSet0(X4)
| ~ isCountable0(X4)
| isCountable0(sdtpldt0(X4,X3)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCConsSet])])])])]) ).
fof(c_0_82,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| X8 = X6
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,X5)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X8 != X6
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk18_3(X5,X6,X7),X5)
| ~ aElement0(esk18_3(X5,X6,X7))
| ~ aElementOf0(esk18_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk18_3(X5,X6,X7) != X6
| ~ aElement0(esk18_3(X5,X6,X7))
| ~ aElementOf0(esk18_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk18_3(X5,X6,X7))
| aElementOf0(esk18_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk18_3(X5,X6,X7),X5)
| esk18_3(X5,X6,X7) = X6
| aElementOf0(esk18_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefCons])])])])])])]) ).
fof(c_0_83,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])])]) ).
cnf(c_0_84,hypothesis,
( aElementOf0(esk3_1(sdtlpdtrp0(xN,sbrdtbr0(slcrc0))),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,sbrdtbr0(slcrc0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_85,hypothesis,
aSet0(sdtlpdtrp0(xN,sbrdtbr0(slcrc0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_53]),c_0_54])]) ).
cnf(c_0_86,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk1_2(X2,X1),szNzAzT0)
| X1 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_87,plain,
( X1 = sz00
| X1 = szszuzczcdt0(esk2_1(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_88,plain,
( X1 = sz00
| aElementOf0(esk2_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_89,plain,
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_90,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_91,hypothesis,
( sdtlseqdt0(szszuzczcdt0(X1),xi)
| sdtlseqdt0(xi,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_92,negated_conjecture,
! [X2] :
( xi != sz00
& ( ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X2) != xi
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])])]) ).
cnf(c_0_93,plain,
( X1 != slcrc0
| ~ isCountable0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_50]),c_0_80]) ).
cnf(c_0_94,plain,
( isCountable0(sdtpldt0(X1,X2))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_95,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_96,plain,
( ~ epred2_0
<=> ! [X2] : ~ aElement0(X2) ),
introduced(definition) ).
cnf(c_0_97,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_98,hypothesis,
aElementOf0(esk3_1(sdtlpdtrp0(xN,sbrdtbr0(slcrc0))),szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).
fof(c_0_99,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| iLess0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
cnf(c_0_100,plain,
( aSubsetOf0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_101,plain,
( aSubsetOf0(slbdtrb0(X1),X2)
| aElementOf0(esk1_2(X2,slbdtrb0(X1)),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_102,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_69]) ).
cnf(c_0_103,plain,
( aElementOf0(X3,X2)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X1)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_104,plain,
( szszuzczcdt0(esk2_1(X1)) = X1
| X1 = sbrdtbr0(slcrc0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[c_0_87,c_0_47]) ).
cnf(c_0_105,plain,
( X1 = sbrdtbr0(slcrc0)
| aElementOf0(esk2_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[c_0_88,c_0_47]) ).
cnf(c_0_106,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_74]) ).
cnf(c_0_107,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xi),xi)
| sdtlseqdt0(xi,xi) ),
inference(spm,[status(thm)],[c_0_91,c_0_76]) ).
cnf(c_0_108,negated_conjecture,
xi != sz00,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_109,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ isCountable0(X1)
| X1 != slcrc0 ) ),
introduced(definition) ).
cnf(c_0_110,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_50]) ).
cnf(c_0_111,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_95]) ).
cnf(c_0_112,plain,
( epred2_0
| ~ aElement0(X1) ),
inference(split_equiv,[status(thm)],[c_0_96]) ).
cnf(c_0_113,hypothesis,
aElement0(esk3_1(sdtlpdtrp0(xN,sbrdtbr0(slcrc0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_54])]) ).
fof(c_0_114,plain,
! [X4,X5,X6] :
( ~ aSet0(X4)
| ~ aSet0(X5)
| ~ aSet0(X6)
| ~ aSubsetOf0(X4,X5)
| ~ aSubsetOf0(X5,X6)
| aSubsetOf0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(c_0_115,hypothesis,
! [X2] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ iLess0(X2,xi)
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X2))
| ~ iLess0(X2,xi)
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
cnf(c_0_116,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_117,plain,
( aSubsetOf0(slbdtrb0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_54])]),c_0_102]) ).
cnf(c_0_118,plain,
( X1 = sbrdtbr0(slcrc0)
| aElementOf0(esk2_1(X1),X2)
| X2 != slbdtrb0(X3)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_119,hypothesis,
sdtlseqdt0(xi,xi),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_76])]) ).
cnf(c_0_120,negated_conjecture,
xi != sbrdtbr0(slcrc0),
inference(rw,[status(thm)],[c_0_108,c_0_47]) ).
fof(c_0_121,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X8 != X6
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| X8 = X6
| aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk6_3(X5,X6,X7),X7)
| ~ aElement0(esk6_3(X5,X6,X7))
| ~ aElementOf0(esk6_3(X5,X6,X7),X5)
| esk6_3(X5,X6,X7) = X6
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk6_3(X5,X6,X7))
| aElementOf0(esk6_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk6_3(X5,X6,X7),X5)
| aElementOf0(esk6_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk6_3(X5,X6,X7) != X6
| aElementOf0(esk6_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])])])])]) ).
cnf(c_0_122,plain,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_50]),c_0_109]),c_0_96]) ).
cnf(c_0_123,hypothesis,
epred2_0,
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_124,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_125,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,xi) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_126,plain,
( X1 = sbrdtbr0(slcrc0)
| iLess0(esk2_1(X1),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_104]),c_0_105]) ).
cnf(c_0_127,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_117]),c_0_54])]) ).
cnf(c_0_128,hypothesis,
( aElementOf0(esk2_1(xi),X1)
| X1 != slbdtrb0(xi) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_76])]),c_0_120]) ).
cnf(c_0_129,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_130,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
fof(c_0_131,plain,
! [X4,X5,X6,X5] :
( ( aElementOf0(X5,X4)
| X5 != szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 )
& ( ~ aElementOf0(X6,X4)
| sdtlseqdt0(X5,X6)
| X5 != szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 )
& ( aElementOf0(esk7_2(X4,X5),X4)
| ~ aElementOf0(X5,X4)
| X5 = szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 )
& ( ~ sdtlseqdt0(X5,esk7_2(X4,X5))
| ~ aElementOf0(X5,X4)
| X5 = szmzizndt0(X4)
| ~ aSubsetOf0(X4,szNzAzT0)
| X4 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMin])])])])])])]) ).
cnf(c_0_132,plain,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]) ).
cnf(c_0_133,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ iLess0(X1,xi) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_134,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_135,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_136,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_124,c_0_66]),c_0_66]) ).
cnf(c_0_137,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,esk2_1(xi)),szNzAzT0)
| ~ aElementOf0(esk2_1(xi),szNzAzT0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_76])]),c_0_120]) ).
cnf(c_0_138,hypothesis,
( aElementOf0(esk2_1(xi),szNzAzT0)
| slbdtrb0(X1) != slbdtrb0(xi)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_139,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_129]) ).
cnf(c_0_140,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_130]) ).
cnf(c_0_141,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X2 != szmzizndt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_142,plain,
( X1 != slcrc0
| ~ isCountable0(X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_109]),c_0_132]) ).
cnf(c_0_143,hypothesis,
( isCountable0(sdtlpdtrp0(xN,esk2_1(xi)))
| ~ aElementOf0(esk2_1(xi),szNzAzT0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_126]),c_0_76])]),c_0_120]) ).
cnf(c_0_144,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_134,c_0_97]) ).
cnf(c_0_145,hypothesis,
( X1 = sbrdtbr0(slcrc0)
| isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk2_1(X1)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,esk2_1(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_104]),c_0_105]) ).
cnf(c_0_146,hypothesis,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,esk2_1(xi)))
| ~ aElementOf0(esk2_1(xi),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_54])]) ).
cnf(c_0_147,hypothesis,
aElementOf0(esk2_1(xi),szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_138]),c_0_76])]) ).
cnf(c_0_148,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X3)
| aElementOf0(esk1_2(X3,sdtmndt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_68]),c_0_140]) ).
cnf(c_0_149,hypothesis,
( aSet0(sdtlpdtrp0(xN,esk2_1(xi)))
| ~ aElementOf0(esk2_1(xi),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_137]),c_0_54])]) ).
cnf(c_0_150,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk2_1(xi)))
| ~ aElementOf0(esk2_1(xi),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_137]),c_0_54])]) ).
cnf(c_0_151,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_141]) ).
cnf(c_0_152,hypothesis,
( sdtlpdtrp0(xN,esk2_1(xi)) != slcrc0
| ~ aElementOf0(esk2_1(xi),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_153,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_144]) ).
cnf(c_0_154,hypothesis,
( isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk2_1(xi)),szNzAzT0)
| ~ aElementOf0(esk2_1(xi),szNzAzT0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_143]),c_0_76])]),c_0_120]) ).
cnf(c_0_155,hypothesis,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,esk2_1(xi))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]) ).
cnf(c_0_156,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_148]),c_0_140]) ).
cnf(c_0_157,hypothesis,
aSet0(sdtlpdtrp0(xN,esk2_1(xi))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_147])]) ).
cnf(c_0_158,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk2_1(xi))),szNzAzT0)
| ~ aElementOf0(esk2_1(xi),szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_137]),c_0_152]) ).
cnf(c_0_159,plain,
( aSubsetOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(esk1_2(sdtpldt0(X2,X3),X1),X2)
| ~ aElement0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_153]),c_0_111]) ).
cnf(c_0_160,hypothesis,
( isCountable0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(esk2_1(xi),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_154,c_0_137]) ).
cnf(c_0_161,hypothesis,
( aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,esk2_1(xi)),X1),szNzAzT0)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157])]) ).
cnf(c_0_162,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_163,hypothesis,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,esk2_1(xi))))
| ~ aElementOf0(esk2_1(xi),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_158]),c_0_54])]) ).
fof(c_0_164,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ isFinite0(X3)
| ~ aSubsetOf0(X4,X3)
| isFinite0(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])])])]) ).
cnf(c_0_165,plain,
( aSubsetOf0(X1,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_68]),c_0_111]) ).
fof(c_0_166,plain,
! [X3,X4] :
( ( ~ sdtlseqdt0(X3,X4)
| aSubsetOf0(slbdtrb0(X3),slbdtrb0(X4))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X3),slbdtrb0(X4))
| sdtlseqdt0(X3,X4)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
cnf(c_0_167,negated_conjecture,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_168,hypothesis,
isCountable0(sdtlpdtrp0(xN,xi)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_105]),c_0_76])]),c_0_120]) ).
cnf(c_0_169,hypothesis,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk2_1(xi)),X2))
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_161]),c_0_54])]) ).
cnf(c_0_170,hypothesis,
( X1 = sbrdtbr0(slcrc0)
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,esk2_1(X1)),szmzizndt0(sdtlpdtrp0(xN,esk2_1(X1)))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk2_1(X1)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,esk2_1(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_104]),c_0_105]) ).
cnf(c_0_171,hypothesis,
aElement0(szmzizndt0(sdtlpdtrp0(xN,esk2_1(xi)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_147])]) ).
cnf(c_0_172,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,esk2_1(xi)),szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_147])]) ).
cnf(c_0_173,hypothesis,
isCountable0(sdtlpdtrp0(xN,esk2_1(xi))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_147])]) ).
cnf(c_0_174,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_175,plain,
( aSubsetOf0(X1,sdtpldt0(X2,X3))
| ~ aSubsetOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_165]),c_0_111]) ).
fof(c_0_176,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| sdtpldt0(sdtmndt0(X3,X4),X4) = X3 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])])])]) ).
cnf(c_0_177,plain,
( aSubsetOf0(slbdtrb0(X2),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_178,negated_conjecture,
( szszuzczcdt0(X1) != xi
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168])]) ).
cnf(c_0_179,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]),c_0_172]),c_0_173]),c_0_76])]),c_0_120]) ).
fof(c_0_180,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ isFinite0(X3)
| ~ aElementOf0(X4,X3)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X3,X4))) = sbrdtbr0(X3) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])])])]) ).
cnf(c_0_181,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ isFinite0(sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_111]) ).
cnf(c_0_182,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
fof(c_0_183,plain,
! [X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_184,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_73]),c_0_74]) ).
cnf(c_0_185,negated_conjecture,
( szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179])]) ).
cnf(c_0_186,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
fof(c_0_187,plain,
! [X2] :
( ( ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
| isFinite0(X2)
| ~ aSet0(X2) )
& ( ~ isFinite0(X2)
| aElementOf0(sbrdtbr0(X2),szNzAzT0)
| ~ aSet0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
cnf(c_0_188,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,sdtmndt0(X2,X3))
| ~ isFinite0(X2)
| ~ aElementOf0(X3,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_140]),c_0_97]) ).
cnf(c_0_189,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_190,plain,
( aSubsetOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aSubsetOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2))) ),
inference(spm,[status(thm)],[c_0_136,c_0_184]) ).
fof(c_0_191,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| isFinite0(slbdtrb0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])]) ).
cnf(c_0_192,negated_conjecture,
( sbrdtbr0(X1) != xi
| ~ isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(X1,X2)),szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_193,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_194,plain,
( isFinite0(sdtmndt0(X1,X2))
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_195,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,slbdtrb0(X2))
| ~ isFinite0(slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2))) ),
inference(spm,[status(thm)],[c_0_174,c_0_190]) ).
cnf(c_0_196,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_197,negated_conjecture,
( sbrdtbr0(X1) != xi
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).
cnf(c_0_198,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_74]) ).
cnf(c_0_199,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2))) ),
inference(spm,[status(thm)],[c_0_66,c_0_190]) ).
cnf(c_0_200,negated_conjecture,
( sbrdtbr0(X1) != xi
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_140]),c_0_97]) ).
cnf(c_0_201,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_102]),c_0_74]) ).
cnf(c_0_202,hypothesis,
aSubsetOf0(slbdtrb0(xi),slbdtrb0(xi)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_119]),c_0_76])]) ).
cnf(c_0_203,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_102]),c_0_74]) ).
cnf(c_0_204,hypothesis,
( sbrdtbr0(X1) != xi
| X1 != slbdtrb0(xi)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_128]) ).
cnf(c_0_205,hypothesis,
isFinite0(slbdtrb0(xi)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_76])]) ).
cnf(c_0_206,hypothesis,
aSet0(slbdtrb0(xi)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_202]),c_0_76])]) ).
cnf(c_0_207,hypothesis,
sbrdtbr0(slbdtrb0(xi)) != xi,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_204]),c_0_205]),c_0_206])]) ).
cnf(c_0_208,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_39]),c_0_76])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM570+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 19:40:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.42 eprover: CPU time limit exceeded, terminating
% 0.37/23.42 eprover: CPU time limit exceeded, terminating
% 0.37/23.42 eprover: CPU time limit exceeded, terminating
% 0.51/46.43 eprover: CPU time limit exceeded, terminating
% 0.51/46.44 eprover: CPU time limit exceeded, terminating
% 0.51/46.44 eprover: CPU time limit exceeded, terminating
% 0.51/46.47 eprover: CPU time limit exceeded, terminating
% 0.64/69.44 eprover: CPU time limit exceeded, terminating
% 0.64/69.45 eprover: CPU time limit exceeded, terminating
% 0.64/69.47 eprover: CPU time limit exceeded, terminating
% 0.64/69.48 eprover: CPU time limit exceeded, terminating
% 0.79/92.46 eprover: CPU time limit exceeded, terminating
% 0.79/92.48 eprover: CPU time limit exceeded, terminating
% 0.79/92.49 eprover: CPU time limit exceeded, terminating
% 0.79/92.50 eprover: CPU time limit exceeded, terminating
% 0.82/98.00 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.82/98.00
% 0.82/98.00 # Failure: Resource limit exceeded (time)
% 0.82/98.00 # OLD status Res
% 0.82/98.00 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.82/98.00 # Preprocessing time : 0.018 s
% 0.82/98.00 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.82/98.00
% 0.82/98.00 # Failure: Resource limit exceeded (time)
% 0.82/98.00 # OLD status Res
% 0.82/98.00 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.82/98.00 # Preprocessing time : 0.011 s
% 0.82/98.00 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.82/98.00
% 0.82/98.00 # Failure: Resource limit exceeded (time)
% 0.82/98.00 # OLD status Res
% 0.82/98.00 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.82/98.00 # Preprocessing time : 0.011 s
% 0.82/98.00 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.82/98.00
% 0.82/98.00 # Failure: Resource limit exceeded (time)
% 0.82/98.00 # OLD status Res
% 0.82/98.00 # Preprocessing time : 0.012 s
% 0.82/98.00 # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 0.82/98.00 # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 0.82/98.00 # Preprocessing time : 0.013 s
% 0.82/98.00
% 0.82/98.00 # Proof found!
% 0.82/98.00 # SZS status Theorem
% 0.82/98.00 # SZS output start CNFRefutation
% See solution above
% 0.82/98.00 # Proof object total steps : 209
% 0.82/98.00 # Proof object clause steps : 141
% 0.82/98.00 # Proof object formula steps : 68
% 0.82/98.00 # Proof object conjectures : 11
% 0.82/98.00 # Proof object clause conjectures : 8
% 0.82/98.00 # Proof object formula conjectures : 3
% 0.82/98.00 # Proof object initial clauses used : 51
% 0.82/98.00 # Proof object initial formulas used : 35
% 0.82/98.00 # Proof object generating inferences : 71
% 0.82/98.00 # Proof object simplifying inferences : 122
% 0.82/98.00 # Training examples: 0 positive, 0 negative
% 0.82/98.00 # Parsed axioms : 84
% 0.82/98.00 # Removed by relevancy pruning/SinE : 7
% 0.82/98.00 # Initial clauses : 146
% 0.82/98.00 # Removed in clause preprocessing : 7
% 0.82/98.00 # Initial clauses in saturation : 139
% 0.82/98.00 # Processed clauses : 11047
% 0.82/98.00 # ...of these trivial : 111
% 0.82/98.00 # ...subsumed : 6197
% 0.82/98.00 # ...remaining for further processing : 4739
% 0.82/98.00 # Other redundant clauses eliminated : 28
% 0.82/98.00 # Clauses deleted for lack of memory : 0
% 0.82/98.00 # Backward-subsumed : 1275
% 0.82/98.00 # Backward-rewritten : 331
% 0.82/98.00 # Generated clauses : 74251
% 0.82/98.00 # ...of the previous two non-trivial : 72505
% 0.82/98.00 # Contextual simplify-reflections : 11046
% 0.82/98.00 # Paramodulations : 73995
% 0.82/98.00 # Factorizations : 5
% 0.82/98.00 # Equation resolutions : 218
% 0.82/98.00 # Current number of processed clauses : 3116
% 0.82/98.00 # Positive orientable unit clauses : 114
% 0.82/98.00 # Positive unorientable unit clauses: 0
% 0.82/98.00 # Negative unit clauses : 65
% 0.82/98.00 # Non-unit-clauses : 2937
% 0.82/98.00 # Current number of unprocessed clauses: 52038
% 0.82/98.00 # ...number of literals in the above : 436078
% 0.82/98.00 # Current number of archived formulas : 0
% 0.82/98.00 # Current number of archived clauses : 1610
% 0.82/98.00 # Clause-clause subsumption calls (NU) : 6007144
% 0.82/98.00 # Rec. Clause-clause subsumption calls : 238577
% 0.82/98.00 # Non-unit clause-clause subsumptions : 16804
% 0.82/98.00 # Unit Clause-clause subsumption calls : 88535
% 0.82/98.00 # Rewrite failures with RHS unbound : 0
% 0.82/98.00 # BW rewrite match attempts : 191
% 0.82/98.00 # BW rewrite match successes : 47
% 0.82/98.00 # Condensation attempts : 0
% 0.82/98.00 # Condensation successes : 0
% 0.82/98.00 # Termbank termtop insertions : 2212905
% 0.82/98.00
% 0.82/98.00 # -------------------------------------------------
% 0.82/98.00 # User time : 4.440 s
% 0.82/98.00 # System time : 0.048 s
% 0.82/98.00 # Total time : 4.488 s
% 0.82/98.00 # Maximum resident set size: 69024 pages
% 0.82/115.49 eprover: CPU time limit exceeded, terminating
% 0.82/115.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.50 eprover: No such file or directory
% 0.82/115.50 eprover: CPU time limit exceeded, terminating
% 0.82/115.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.50 eprover: No such file or directory
% 0.82/115.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.51 eprover: No such file or directory
% 0.82/115.51 eprover: CPU time limit exceeded, terminating
% 0.82/115.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.51 eprover: No such file or directory
% 0.82/115.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.51 eprover: No such file or directory
% 0.82/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.52 eprover: No such file or directory
% 0.82/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.82/115.52 eprover: No such file or directory
% 0.82/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.52 eprover: No such file or directory
% 0.82/115.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.52 eprover: No such file or directory
% 0.82/115.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.82/115.53 eprover: No such file or directory
% 0.82/115.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.53 eprover: No such file or directory
% 0.82/115.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.82/115.53 eprover: No such file or directory
% 0.82/115.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.82/115.54 eprover: No such file or directory
% 0.82/115.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.54 eprover: No such file or directory
% 0.82/115.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.82/115.54 eprover: No such file or directory
% 0.82/115.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.54 eprover: No such file or directory
% 0.82/115.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.82/115.54 eprover: No such file or directory
% 0.82/115.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.82/115.55 eprover: No such file or directory
% 0.82/115.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.55 eprover: No such file or directory
% 0.82/115.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.55 eprover: No such file or directory
% 0.82/115.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.82/115.56 eprover: No such file or directory
%------------------------------------------------------------------------------