TSTP Solution File: NUM569+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : NUM569+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 300s
% DateTime : Tue May 21 01:26:57 EDT 2024
% Result : Theorem 175.33s 22.61s
% Output : CNFRefutation 175.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 32
% Syntax : Number of formulae : 197 ( 15 unt; 0 def)
% Number of atoms : 874 ( 161 equ)
% Maximal formula atoms : 54 ( 4 avg)
% Number of connectives : 1139 ( 462 ~; 506 |; 95 &)
% ( 16 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 297 ( 1 sgn 139 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDiffCons,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDiffCons) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(mCardCons,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(m__,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> ( iLess0(X2,X1)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X2)) ) ) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(mFConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
fof(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegSucc) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(mSegFin,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> isFinite0(slbdtrb0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegFin) ).
fof(mCardDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( ( isFinite0(X1)
& aElementOf0(X2,X1) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegLess) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(m__3435,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(c_0_32,plain,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
inference(fof_simplification,[status(thm)],[mDiffCons]) ).
fof(c_0_33,plain,
! [X141,X142,X143,X144,X145,X146] :
( ( aSet0(X143)
| X143 != sdtpldt0(X141,X142)
| ~ aSet0(X141)
| ~ aElement0(X142) )
& ( aElement0(X144)
| ~ aElementOf0(X144,X143)
| X143 != sdtpldt0(X141,X142)
| ~ aSet0(X141)
| ~ aElement0(X142) )
& ( aElementOf0(X144,X141)
| X144 = X142
| ~ aElementOf0(X144,X143)
| X143 != sdtpldt0(X141,X142)
| ~ aSet0(X141)
| ~ aElement0(X142) )
& ( ~ aElementOf0(X145,X141)
| ~ aElement0(X145)
| aElementOf0(X145,X143)
| X143 != sdtpldt0(X141,X142)
| ~ aSet0(X141)
| ~ aElement0(X142) )
& ( X145 != X142
| ~ aElement0(X145)
| aElementOf0(X145,X143)
| X143 != sdtpldt0(X141,X142)
| ~ aSet0(X141)
| ~ aElement0(X142) )
& ( ~ aElementOf0(esk17_3(X141,X142,X146),X141)
| ~ aElement0(esk17_3(X141,X142,X146))
| ~ aElementOf0(esk17_3(X141,X142,X146),X146)
| ~ aSet0(X146)
| X146 = sdtpldt0(X141,X142)
| ~ aSet0(X141)
| ~ aElement0(X142) )
& ( esk17_3(X141,X142,X146) != X142
| ~ aElement0(esk17_3(X141,X142,X146))
| ~ aElementOf0(esk17_3(X141,X142,X146),X146)
| ~ aSet0(X146)
| X146 = sdtpldt0(X141,X142)
| ~ aSet0(X141)
| ~ aElement0(X142) )
& ( aElement0(esk17_3(X141,X142,X146))
| aElementOf0(esk17_3(X141,X142,X146),X146)
| ~ aSet0(X146)
| X146 = sdtpldt0(X141,X142)
| ~ aSet0(X141)
| ~ aElement0(X142) )
& ( aElementOf0(esk17_3(X141,X142,X146),X141)
| esk17_3(X141,X142,X146) = X142
| aElementOf0(esk17_3(X141,X142,X146),X146)
| ~ aSet0(X146)
| X146 = sdtpldt0(X141,X142)
| ~ aSet0(X141)
| ~ aElement0(X142) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefCons])])])])])])]) ).
fof(c_0_34,plain,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[mCardCons]) ).
fof(c_0_35,plain,
! [X105,X106] :
( ~ aElement0(X105)
| ~ aSet0(X106)
| ~ isFinite0(X106)
| isFinite0(sdtmndt0(X106,X105)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])])]) ).
fof(c_0_36,plain,
! [X101,X102] :
( ~ aElement0(X101)
| ~ aSet0(X102)
| aElementOf0(X101,X102)
| sdtmndt0(sdtpldt0(X102,X101),X101) = X102 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_37,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_38,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
inference(fof_simplification,[status(thm)],[mSuccNum]) ).
fof(c_0_39,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
inference(fof_simplification,[status(thm)],[mNatNSucc]) ).
fof(c_0_40,plain,
! [X124] :
( ( ~ aElementOf0(sbrdtbr0(X124),szNzAzT0)
| isFinite0(X124)
| ~ aSet0(X124) )
& ( ~ isFinite0(X124)
| aElementOf0(sbrdtbr0(X124),szNzAzT0)
| ~ aSet0(X124) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])])]) ).
fof(c_0_41,plain,
! [X125,X126] :
( ~ aSet0(X125)
| ~ isFinite0(X125)
| ~ aElement0(X126)
| aElementOf0(X126,X125)
| sbrdtbr0(sdtpldt0(X125,X126)) = szszuzczcdt0(sbrdtbr0(X125)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
cnf(c_0_42,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_37]) ).
fof(c_0_45,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> ( iLess0(X2,X1)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X2)) ) ) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_46,plain,
! [X136,X137] :
( ~ aElementOf0(X136,szNzAzT0)
| ~ aElementOf0(X137,szNzAzT0)
| ~ sdtlseqdt0(X136,X137)
| ~ sdtlseqdt0(X137,X136)
| X136 = X137 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])])]) ).
fof(c_0_47,plain,
! [X89] :
( ~ aElementOf0(X89,szNzAzT0)
| sdtlseqdt0(X89,szszuzczcdt0(X89)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])])]) ).
fof(c_0_48,plain,
! [X78] :
( ( aElementOf0(szszuzczcdt0(X78),szNzAzT0)
| ~ aElementOf0(X78,szNzAzT0) )
& ( szszuzczcdt0(X78) != sz00
| ~ aElementOf0(X78,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
fof(c_0_49,plain,
! [X86] :
( ~ aElementOf0(X86,szNzAzT0)
| X86 != szszuzczcdt0(X86) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_50,plain,
! [X152,X153,X154,X155,X156] :
( ( aSet0(X153)
| X153 != slbdtrb0(X152)
| ~ aElementOf0(X152,szNzAzT0) )
& ( aElementOf0(X154,szNzAzT0)
| ~ aElementOf0(X154,X153)
| X153 != slbdtrb0(X152)
| ~ aElementOf0(X152,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X154),X152)
| ~ aElementOf0(X154,X153)
| X153 != slbdtrb0(X152)
| ~ aElementOf0(X152,szNzAzT0) )
& ( ~ aElementOf0(X155,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X155),X152)
| aElementOf0(X155,X153)
| X153 != slbdtrb0(X152)
| ~ aElementOf0(X152,szNzAzT0) )
& ( ~ aElementOf0(esk18_2(X152,X156),X156)
| ~ aElementOf0(esk18_2(X152,X156),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk18_2(X152,X156)),X152)
| ~ aSet0(X156)
| X156 = slbdtrb0(X152)
| ~ aElementOf0(X152,szNzAzT0) )
& ( aElementOf0(esk18_2(X152,X156),szNzAzT0)
| aElementOf0(esk18_2(X152,X156),X156)
| ~ aSet0(X156)
| X156 = slbdtrb0(X152)
| ~ aElementOf0(X152,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk18_2(X152,X156)),X152)
| aElementOf0(esk18_2(X152,X156),X156)
| ~ aSet0(X156)
| X156 = slbdtrb0(X152)
| ~ aElementOf0(X152,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSeg])])])])])])]) ).
cnf(c_0_51,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_52,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,plain,
( isFinite0(X1)
| aElementOf0(X2,X1)
| ~ isFinite0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
fof(c_0_54,plain,
! [X150,X151] :
( ~ aElement0(X150)
| ~ aSet0(X151)
| ~ isFinite0(X151)
| isFinite0(sdtpldt0(X151,X150)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFConsSet])])])]) ).
fof(c_0_55,plain,
! [X121,X122] :
( ~ aSet0(X121)
| ~ aElementOf0(X122,X121)
| aElement0(X122) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
fof(c_0_56,negated_conjecture,
! [X15] :
( aElementOf0(esk3_0,szNzAzT0)
& ( aSubsetOf0(sdtlpdtrp0(xN,X15),szNzAzT0)
| ~ iLess0(X15,esk3_0)
| ~ aElementOf0(X15,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X15))
| ~ iLess0(X15,esk3_0)
| ~ aElementOf0(X15,szNzAzT0) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,esk3_0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,esk3_0)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])])]) ).
cnf(c_0_57,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_59,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,plain,
( aElementOf0(szszuzczcdt0(sbrdtbr0(X1)),szNzAzT0)
| aElementOf0(X2,X1)
| ~ isFinite0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_44]),c_0_53]) ).
cnf(c_0_63,plain,
( isFinite0(sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_64,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,negated_conjecture,
aElementOf0(esk3_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_66,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_67,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60]) ).
cnf(c_0_68,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_69,plain,
( aElementOf0(szszuzczcdt0(sbrdtbr0(X1)),szNzAzT0)
| aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
aElement0(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
fof(c_0_71,plain,
! [X87,X88] :
( ( ~ sdtlseqdt0(X87,X88)
| sdtlseqdt0(szszuzczcdt0(X87),szszuzczcdt0(X88))
| ~ aElementOf0(X87,szNzAzT0)
| ~ aElementOf0(X88,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X87),szszuzczcdt0(X88))
| sdtlseqdt0(X87,X88)
| ~ aElementOf0(X87,szNzAzT0)
| ~ aElementOf0(X88,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])])]) ).
cnf(c_0_72,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_73,plain,
! [X159,X160] :
( ( ~ aElementOf0(X159,slbdtrb0(szszuzczcdt0(X160)))
| aElementOf0(X159,slbdtrb0(X160))
| X159 = X160
| ~ aElementOf0(X159,szNzAzT0)
| ~ aElementOf0(X160,szNzAzT0) )
& ( ~ aElementOf0(X159,slbdtrb0(X160))
| aElementOf0(X159,slbdtrb0(szszuzczcdt0(X160)))
| ~ aElementOf0(X159,szNzAzT0)
| ~ aElementOf0(X160,szNzAzT0) )
& ( X159 != X160
| aElementOf0(X159,slbdtrb0(szszuzczcdt0(X160)))
| ~ aElementOf0(X159,szNzAzT0)
| ~ aElementOf0(X160,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])])]) ).
cnf(c_0_74,plain,
( ~ aElementOf0(X1,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( aElementOf0(szszuzczcdt0(sbrdtbr0(X1)),szNzAzT0)
| aElementOf0(esk3_0,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_76,plain,
! [X132] :
( ~ aElementOf0(X132,szNzAzT0)
| sbrdtbr0(slbdtrb0(X132)) = X132 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])])]) ).
fof(c_0_77,plain,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[mDefDiff]) ).
cnf(c_0_78,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_79,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_80,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_81,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_82,plain,
! [X90,X91] :
( ~ aElementOf0(X90,szNzAzT0)
| ~ aElementOf0(X91,szNzAzT0)
| sdtlseqdt0(X90,X91)
| sdtlseqdt0(szszuzczcdt0(X91),X90) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])])]) ).
cnf(c_0_83,negated_conjecture,
( aElementOf0(szszuzczcdt0(sbrdtbr0(slbdtrb0(esk3_0))),szNzAzT0)
| ~ isFinite0(slbdtrb0(esk3_0))
| ~ aSet0(slbdtrb0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_65])]) ).
cnf(c_0_84,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_85,plain,
! [X158] :
( ~ aElementOf0(X158,szNzAzT0)
| isFinite0(slbdtrb0(X158)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegFin])])]) ).
fof(c_0_86,plain,
! [X92,X93,X94,X95,X96,X97] :
( ( aSet0(X94)
| X94 != sdtmndt0(X92,X93)
| ~ aSet0(X92)
| ~ aElement0(X93) )
& ( aElement0(X95)
| ~ aElementOf0(X95,X94)
| X94 != sdtmndt0(X92,X93)
| ~ aSet0(X92)
| ~ aElement0(X93) )
& ( aElementOf0(X95,X92)
| ~ aElementOf0(X95,X94)
| X94 != sdtmndt0(X92,X93)
| ~ aSet0(X92)
| ~ aElement0(X93) )
& ( X95 != X93
| ~ aElementOf0(X95,X94)
| X94 != sdtmndt0(X92,X93)
| ~ aSet0(X92)
| ~ aElement0(X93) )
& ( ~ aElement0(X96)
| ~ aElementOf0(X96,X92)
| X96 = X93
| aElementOf0(X96,X94)
| X94 != sdtmndt0(X92,X93)
| ~ aSet0(X92)
| ~ aElement0(X93) )
& ( ~ aElementOf0(esk13_3(X92,X93,X97),X97)
| ~ aElement0(esk13_3(X92,X93,X97))
| ~ aElementOf0(esk13_3(X92,X93,X97),X92)
| esk13_3(X92,X93,X97) = X93
| ~ aSet0(X97)
| X97 = sdtmndt0(X92,X93)
| ~ aSet0(X92)
| ~ aElement0(X93) )
& ( aElement0(esk13_3(X92,X93,X97))
| aElementOf0(esk13_3(X92,X93,X97),X97)
| ~ aSet0(X97)
| X97 = sdtmndt0(X92,X93)
| ~ aSet0(X92)
| ~ aElement0(X93) )
& ( aElementOf0(esk13_3(X92,X93,X97),X92)
| aElementOf0(esk13_3(X92,X93,X97),X97)
| ~ aSet0(X97)
| X97 = sdtmndt0(X92,X93)
| ~ aSet0(X92)
| ~ aElement0(X93) )
& ( esk13_3(X92,X93,X97) != X93
| aElementOf0(esk13_3(X92,X93,X97),X97)
| ~ aSet0(X97)
| X97 = sdtmndt0(X92,X93)
| ~ aSet0(X92)
| ~ aElement0(X93) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])])])])]) ).
cnf(c_0_87,plain,
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_68]),c_0_79]),c_0_59]) ).
cnf(c_0_88,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_89,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_90,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_91,negated_conjecture,
( aElementOf0(szszuzczcdt0(esk3_0),szNzAzT0)
| ~ isFinite0(slbdtrb0(esk3_0))
| ~ aSet0(slbdtrb0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_65])]) ).
cnf(c_0_92,plain,
( isFinite0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_93,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_94,plain,
! [X107,X108] :
( ~ aSet0(X107)
| ~ isFinite0(X107)
| ~ aElementOf0(X108,X107)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X107,X108))) = sbrdtbr0(X107) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardDiff])])])]) ).
fof(c_0_95,plain,
! [X99,X100] :
( ~ aSet0(X99)
| ~ aElementOf0(X100,X99)
| sdtpldt0(sdtmndt0(X99,X100),X100) = X99 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])])]) ).
cnf(c_0_96,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_97,plain,
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_98,plain,
( sdtlseqdt0(X1,X2)
| aElementOf0(X2,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_99,negated_conjecture,
( aElementOf0(szszuzczcdt0(esk3_0),szNzAzT0)
| ~ aSet0(slbdtrb0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_65])]) ).
cnf(c_0_100,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_93]) ).
cnf(c_0_101,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_102,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_103,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_104,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_96]) ).
cnf(c_0_105,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
aElementOf0(szszuzczcdt0(esk3_0),szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_65])]) ).
cnf(c_0_107,plain,
( sbrdtbr0(X1) != sz00
| ~ isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(X1,X2)),szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,plain,
( isFinite0(X1)
| ~ isFinite0(sdtmndt0(X1,X2))
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_103]),c_0_104]),c_0_64]) ).
cnf(c_0_109,negated_conjecture,
( sdtlseqdt0(X1,szszuzczcdt0(esk3_0))
| sdtlseqdt0(szszuzczcdt0(esk3_0),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,plain,
( sbrdtbr0(X1) != sz00
| ~ isFinite0(sdtmndt0(X1,X2))
| ~ aElementOf0(X2,X1)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_51]),c_0_108]) ).
cnf(c_0_111,negated_conjecture,
sdtlseqdt0(szszuzczcdt0(esk3_0),szszuzczcdt0(esk3_0)),
inference(spm,[status(thm)],[c_0_109,c_0_106]) ).
fof(c_0_112,plain,
! [X23,X24,X25,X26] :
( ( aSet0(X24)
| ~ aSubsetOf0(X24,X23)
| ~ aSet0(X23) )
& ( ~ aElementOf0(X25,X24)
| aElementOf0(X25,X23)
| ~ aSubsetOf0(X24,X23)
| ~ aSet0(X23) )
& ( aElementOf0(esk4_2(X23,X26),X26)
| ~ aSet0(X26)
| aSubsetOf0(X26,X23)
| ~ aSet0(X23) )
& ( ~ aElementOf0(esk4_2(X23,X26),X23)
| ~ aSet0(X26)
| aSubsetOf0(X26,X23)
| ~ aSet0(X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])])]) ).
fof(c_0_113,plain,
! [X161,X162] :
( ( ~ sdtlseqdt0(X161,X162)
| aSubsetOf0(slbdtrb0(X161),slbdtrb0(X162))
| ~ aElementOf0(X161,szNzAzT0)
| ~ aElementOf0(X162,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X161),slbdtrb0(X162))
| sdtlseqdt0(X161,X162)
| ~ aElementOf0(X161,szNzAzT0)
| ~ aElementOf0(X162,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])])]) ).
cnf(c_0_114,plain,
( sbrdtbr0(X1) != sz00
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_42]),c_0_104]),c_0_64]) ).
cnf(c_0_115,negated_conjecture,
aElementOf0(esk3_0,slbdtrb0(szszuzczcdt0(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_111]),c_0_106]),c_0_65])]) ).
fof(c_0_116,plain,
! [X79] :
( ( aElementOf0(esk12_1(X79),szNzAzT0)
| X79 = sz00
| ~ aElementOf0(X79,szNzAzT0) )
& ( X79 = szszuzczcdt0(esk12_1(X79))
| X79 = sz00
| ~ aElementOf0(X79,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])])]) ).
cnf(c_0_117,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_118,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( sbrdtbr0(slbdtrb0(szszuzczcdt0(esk3_0))) != sz00
| ~ isFinite0(slbdtrb0(szszuzczcdt0(esk3_0)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(esk3_0))) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,plain,
( X1 = szszuzczcdt0(esk12_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_121,plain,
( aElementOf0(esk12_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_122,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X1,slbdtrb0(X3))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_100]) ).
cnf(c_0_123,negated_conjecture,
( szszuzczcdt0(esk3_0) != sz00
| ~ isFinite0(slbdtrb0(szszuzczcdt0(esk3_0)))
| ~ aSet0(slbdtrb0(szszuzczcdt0(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_84]),c_0_106])]) ).
cnf(c_0_124,plain,
( X1 = szszuzczcdt0(X2)
| ~ sdtlseqdt0(X1,szszuzczcdt0(X2))
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_57,c_0_68]) ).
cnf(c_0_125,plain,
( X1 = sz00
| sdtlseqdt0(esk12_1(X1),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_120]),c_0_121]) ).
cnf(c_0_126,plain,
( X1 = sz00
| esk12_1(X1) != X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_120]),c_0_121]) ).
cnf(c_0_127,negated_conjecture,
( aElementOf0(esk3_0,slbdtrb0(X1))
| ~ sdtlseqdt0(szszuzczcdt0(esk3_0),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_115]),c_0_106])]) ).
cnf(c_0_128,negated_conjecture,
( szszuzczcdt0(esk3_0) != sz00
| ~ aSet0(slbdtrb0(szszuzczcdt0(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_92]),c_0_106])]) ).
cnf(c_0_129,plain,
( X1 = sz00
| sdtlseqdt0(X2,esk12_1(X1))
| ~ sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_120]),c_0_121]) ).
cnf(c_0_130,plain,
( szszuzczcdt0(X1) = sz00
| ~ aElementOf0(X1,slbdtrb0(esk12_1(szszuzczcdt0(X1))))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_121]),c_0_126]) ).
cnf(c_0_131,negated_conjecture,
( sdtlseqdt0(X1,esk3_0)
| aElementOf0(esk3_0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_90]),c_0_65])]) ).
cnf(c_0_132,negated_conjecture,
szszuzczcdt0(esk3_0) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_100]),c_0_106])]) ).
cnf(c_0_133,plain,
( esk12_1(X1) = X2
| X1 = sz00
| ~ sdtlseqdt0(esk12_1(X1),X2)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_129]),c_0_121]) ).
cnf(c_0_134,negated_conjecture,
( sdtlseqdt0(esk12_1(szszuzczcdt0(esk3_0)),esk3_0)
| ~ aElementOf0(esk12_1(szszuzczcdt0(esk3_0)),szNzAzT0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_106])]),c_0_132]) ).
fof(c_0_135,plain,
! [X77] :
( ~ aElementOf0(X77,szNzAzT0)
| iLess0(X77,szszuzczcdt0(X77)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])])]) ).
cnf(c_0_136,negated_conjecture,
( esk12_1(szszuzczcdt0(esk3_0)) = esk3_0
| ~ aElementOf0(esk12_1(szszuzczcdt0(esk3_0)),szNzAzT0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_111]),c_0_65]),c_0_106])]),c_0_132]) ).
fof(c_0_137,plain,
! [X31,X32,X33] :
( ~ aSet0(X31)
| ~ aSet0(X32)
| ~ aSet0(X33)
| ~ aSubsetOf0(X31,X32)
| ~ aSubsetOf0(X32,X33)
| aSubsetOf0(X31,X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])])]) ).
cnf(c_0_138,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_139,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_140,plain,
( X1 = sz00
| aElementOf0(X2,slbdtrb0(X1))
| ~ aElementOf0(X2,slbdtrb0(esk12_1(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_120]),c_0_121]) ).
cnf(c_0_141,negated_conjecture,
esk12_1(szszuzczcdt0(esk3_0)) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_121]),c_0_106])]),c_0_132]) ).
cnf(c_0_142,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_143,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_144,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_145,negated_conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ iLess0(X1,esk3_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_146,plain,
( X1 = sz00
| iLess0(esk12_1(X1),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_120]),c_0_121]) ).
cnf(c_0_147,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_139]) ).
cnf(c_0_148,plain,
( aElementOf0(esk4_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_149,negated_conjecture,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(esk3_0)))
| ~ aElementOf0(X1,slbdtrb0(esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_106])]),c_0_132]) ).
cnf(c_0_150,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_142]) ).
fof(c_0_151,plain,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[mDefMin]) ).
cnf(c_0_152,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_143,c_0_144]),c_0_144]) ).
cnf(c_0_153,negated_conjecture,
( esk3_0 = sz00
| aSubsetOf0(sdtlpdtrp0(xN,esk12_1(esk3_0)),szNzAzT0)
| ~ aElementOf0(esk12_1(esk3_0),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_65])]) ).
cnf(c_0_154,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk4_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_155,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X3)
| aElementOf0(esk4_2(X3,sdtmndt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_104]) ).
cnf(c_0_156,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_149]),c_0_106])]) ).
cnf(c_0_157,plain,
( X1 = sz00
| aElementOf0(esk12_1(X1),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_120]),c_0_121]) ).
fof(c_0_158,plain,
! [X109,X110,X111,X112] :
( ( aElementOf0(X110,X109)
| X110 != szmzizndt0(X109)
| ~ aSubsetOf0(X109,szNzAzT0)
| X109 = slcrc0 )
& ( ~ aElementOf0(X111,X109)
| sdtlseqdt0(X110,X111)
| X110 != szmzizndt0(X109)
| ~ aSubsetOf0(X109,szNzAzT0)
| X109 = slcrc0 )
& ( aElementOf0(esk14_2(X109,X112),X109)
| ~ aElementOf0(X112,X109)
| X112 = szmzizndt0(X109)
| ~ aSubsetOf0(X109,szNzAzT0)
| X109 = slcrc0 )
& ( ~ sdtlseqdt0(X112,esk14_2(X109,X112))
| ~ aElementOf0(X112,X109)
| X112 = szmzizndt0(X109)
| ~ aSubsetOf0(X109,szNzAzT0)
| X109 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_151])])])])])])]) ).
cnf(c_0_159,negated_conjecture,
( esk3_0 = sz00
| aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,esk12_1(esk3_0)))
| ~ aElementOf0(esk12_1(esk3_0),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_66])]) ).
cnf(c_0_160,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_104]) ).
cnf(c_0_161,negated_conjecture,
( esk3_0 = sz00
| aSet0(sdtlpdtrp0(xN,esk12_1(esk3_0)))
| ~ aElementOf0(esk12_1(esk3_0),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_153]),c_0_66])]) ).
cnf(c_0_162,negated_conjecture,
( esk3_0 = sz00
| aElementOf0(esk12_1(esk3_0),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_65])]) ).
fof(c_0_163,hypothesis,
! [X13] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X13)),sdtmndt0(sdtlpdtrp0(xN,X13),szmzizndt0(sdtlpdtrp0(xN,X13))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X13),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X13))
| ~ aElementOf0(X13,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X13)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X13),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X13))
| ~ aElementOf0(X13,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])])]) ).
cnf(c_0_164,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_165,negated_conjecture,
( esk3_0 = sz00
| aSubsetOf0(sdtmndt0(sdtlpdtrp0(xN,esk12_1(esk3_0)),X1),szNzAzT0)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_162]) ).
cnf(c_0_166,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_167,negated_conjecture,
( esk3_0 = sz00
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk12_1(esk3_0)))
| ~ aElementOf0(esk12_1(esk3_0),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_153]),c_0_66])]) ).
cnf(c_0_168,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_164]) ).
cnf(c_0_169,negated_conjecture,
( esk3_0 = sz00
| aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk12_1(esk3_0)),X2))
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_165]),c_0_66])]) ).
cnf(c_0_170,hypothesis,
( X1 = sz00
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,esk12_1(X1)),szmzizndt0(sdtlpdtrp0(xN,esk12_1(X1)))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk12_1(X1)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,esk12_1(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_120]),c_0_121]) ).
cnf(c_0_171,negated_conjecture,
( sdtlpdtrp0(xN,esk12_1(esk3_0)) = slcrc0
| esk3_0 = sz00
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk12_1(esk3_0))),szNzAzT0)
| ~ aElementOf0(esk12_1(esk3_0),szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_153]) ).
cnf(c_0_172,hypothesis,
( esk3_0 = sz00
| aSubsetOf0(sdtlpdtrp0(xN,esk3_0),szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk12_1(esk3_0)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,esk12_1(esk3_0)))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,esk12_1(esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_65])]) ).
cnf(c_0_173,negated_conjecture,
( sdtlpdtrp0(xN,esk12_1(esk3_0)) = slcrc0
| esk3_0 = sz00
| aElement0(szmzizndt0(sdtlpdtrp0(xN,esk12_1(esk3_0))))
| ~ aElementOf0(esk12_1(esk3_0),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_171]),c_0_66])]) ).
cnf(c_0_174,negated_conjecture,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ iLess0(X1,esk3_0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_175,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
inference(fof_simplification,[status(thm)],[mCountNFin_01]) ).
fof(c_0_176,plain,
! [X116,X117,X118] :
( ( aSet0(X116)
| X116 != slcrc0 )
& ( ~ aElementOf0(X117,X116)
| X116 != slcrc0 )
& ( ~ aSet0(X118)
| aElementOf0(esk15_1(X118),X118)
| X118 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefEmp])])])])])])]) ).
cnf(c_0_177,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_178,negated_conjecture,
( sdtlpdtrp0(xN,esk12_1(esk3_0)) = slcrc0
| esk3_0 = sz00
| aSubsetOf0(sdtlpdtrp0(xN,esk3_0),szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk12_1(esk3_0)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,esk12_1(esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_162]) ).
cnf(c_0_179,negated_conjecture,
( esk3_0 = sz00
| isCountable0(sdtlpdtrp0(xN,esk12_1(esk3_0)))
| ~ aElementOf0(esk12_1(esk3_0),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_146]),c_0_65])]) ).
fof(c_0_180,plain,
! [X22] :
( ~ aSet0(X22)
| ~ isCountable0(X22)
| X22 != slcrc0 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_175])])]) ).
cnf(c_0_181,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_182,hypothesis,
( X1 = sz00
| isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk12_1(X1)),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,esk12_1(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_120]),c_0_121]) ).
cnf(c_0_183,negated_conjecture,
( sdtlpdtrp0(xN,esk12_1(esk3_0)) = slcrc0
| esk3_0 = sz00
| aSubsetOf0(sdtlpdtrp0(xN,esk3_0),szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk12_1(esk3_0)),szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_162]) ).
cnf(c_0_184,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_185,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_181]) ).
cnf(c_0_186,negated_conjecture,
( ~ aSubsetOf0(sdtlpdtrp0(xN,esk3_0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_187,negated_conjecture,
( esk3_0 = sz00
| isCountable0(sdtlpdtrp0(xN,esk3_0))
| ~ aElementOf0(esk12_1(esk3_0),szNzAzT0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_179]),c_0_65])]),c_0_153]) ).
cnf(c_0_188,negated_conjecture,
( sdtlpdtrp0(xN,esk12_1(esk3_0)) = slcrc0
| esk3_0 = sz00
| aSubsetOf0(sdtlpdtrp0(xN,esk3_0),szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_153]),c_0_162]) ).
cnf(c_0_189,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_184]),c_0_185])]) ).
cnf(c_0_190,negated_conjecture,
( esk3_0 = sz00
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk3_0),szNzAzT0)
| ~ aElementOf0(esk12_1(esk3_0),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_191,negated_conjecture,
( esk3_0 = sz00
| aSubsetOf0(sdtlpdtrp0(xN,esk3_0),szNzAzT0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_188]),c_0_189]),c_0_162]) ).
cnf(c_0_192,negated_conjecture,
esk3_0 = sz00,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_162]) ).
cnf(c_0_193,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_194,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3435]) ).
cnf(c_0_195,hypothesis,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[m__3435]) ).
cnf(c_0_196,negated_conjecture,
$false,
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_186,c_0_192]),c_0_193]),c_0_194]),c_0_193]),c_0_195])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM569+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 06:04:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 175.33/22.61 # Version: 3.1.0
% 175.33/22.61 # Preprocessing class: FSLSSMSMSSSNFFN.
% 175.33/22.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 175.33/22.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 175.33/22.61 # Starting new_bool_3 with 300s (1) cores
% 175.33/22.61 # Starting new_bool_1 with 300s (1) cores
% 175.33/22.61 # Starting sh5l with 300s (1) cores
% 175.33/22.61 # new_bool_3 with pid 3443 completed with status 0
% 175.33/22.61 # Result found by new_bool_3
% 175.33/22.61 # Preprocessing class: FSLSSMSMSSSNFFN.
% 175.33/22.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 175.33/22.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 175.33/22.61 # Starting new_bool_3 with 300s (1) cores
% 175.33/22.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 175.33/22.61 # Search class: FGHSF-FSLM32-MFFFFFNN
% 175.33/22.61 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 175.33/22.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 163s (1) cores
% 175.33/22.61 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3446 completed with status 0
% 175.33/22.61 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 175.33/22.61 # Preprocessing class: FSLSSMSMSSSNFFN.
% 175.33/22.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 175.33/22.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 175.33/22.61 # Starting new_bool_3 with 300s (1) cores
% 175.33/22.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 175.33/22.61 # Search class: FGHSF-FSLM32-MFFFFFNN
% 175.33/22.61 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 175.33/22.61 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 163s (1) cores
% 175.33/22.61 # Preprocessing time : 0.003 s
% 175.33/22.61 # Presaturation interreduction done
% 175.33/22.61
% 175.33/22.61 # Proof found!
% 175.33/22.61 # SZS status Theorem
% 175.33/22.61 # SZS output start CNFRefutation
% See solution above
% 175.33/22.61 # Parsed axioms : 82
% 175.33/22.61 # Removed by relevancy pruning/SinE : 5
% 175.33/22.61 # Initial clauses : 150
% 175.33/22.61 # Removed in clause preprocessing : 7
% 175.33/22.61 # Initial clauses in saturation : 143
% 175.33/22.61 # Processed clauses : 60948
% 175.33/22.61 # ...of these trivial : 2008
% 175.33/22.61 # ...subsumed : 48468
% 175.33/22.61 # ...remaining for further processing : 10472
% 175.33/22.61 # Other redundant clauses eliminated : 202
% 175.33/22.61 # Clauses deleted for lack of memory : 0
% 175.33/22.61 # Backward-subsumed : 1310
% 175.33/22.61 # Backward-rewritten : 3405
% 175.33/22.61 # Generated clauses : 507469
% 175.33/22.61 # ...of the previous two non-redundant : 473018
% 175.33/22.61 # ...aggressively subsumed : 0
% 175.33/22.61 # Contextual simplify-reflections : 2520
% 175.33/22.61 # Paramodulations : 507263
% 175.33/22.61 # Factorizations : 1
% 175.33/22.61 # NegExts : 0
% 175.33/22.61 # Equation resolutions : 205
% 175.33/22.61 # Disequality decompositions : 0
% 175.33/22.61 # Total rewrite steps : 369095
% 175.33/22.61 # ...of those cached : 368990
% 175.33/22.61 # Propositional unsat checks : 2
% 175.33/22.61 # Propositional check models : 0
% 175.33/22.61 # Propositional check unsatisfiable : 0
% 175.33/22.61 # Propositional clauses : 0
% 175.33/22.61 # Propositional clauses after purity: 0
% 175.33/22.61 # Propositional unsat core size : 0
% 175.33/22.61 # Propositional preprocessing time : 0.000
% 175.33/22.61 # Propositional encoding time : 1.410
% 175.33/22.61 # Propositional solver time : 0.962
% 175.33/22.61 # Success case prop preproc time : 0.000
% 175.33/22.61 # Success case prop encoding time : 0.000
% 175.33/22.61 # Success case prop solver time : 0.000
% 175.33/22.61 # Current number of processed clauses : 5582
% 175.33/22.61 # Positive orientable unit clauses : 96
% 175.33/22.61 # Positive unorientable unit clauses: 0
% 175.33/22.61 # Negative unit clauses : 60
% 175.33/22.61 # Non-unit-clauses : 5426
% 175.33/22.61 # Current number of unprocessed clauses: 407061
% 175.33/22.61 # ...number of literals in the above : 3330973
% 175.33/22.61 # Current number of archived formulas : 0
% 175.33/22.61 # Current number of archived clauses : 4861
% 175.33/22.61 # Clause-clause subsumption calls (NU) : 20381055
% 175.33/22.61 # Rec. Clause-clause subsumption calls : 2497469
% 175.33/22.61 # Non-unit clause-clause subsumptions : 42526
% 175.33/22.61 # Unit Clause-clause subsumption calls : 80284
% 175.33/22.61 # Rewrite failures with RHS unbound : 0
% 175.33/22.61 # BW rewrite match attempts : 58
% 175.33/22.61 # BW rewrite match successes : 32
% 175.33/22.61 # Condensation attempts : 0
% 175.33/22.61 # Condensation successes : 0
% 175.33/22.61 # Termbank termtop insertions : 23330767
% 175.33/22.61 # Search garbage collected termcells : 3080
% 175.33/22.61
% 175.33/22.61 # -------------------------------------------------
% 175.33/22.61 # User time : 21.103 s
% 175.33/22.61 # System time : 0.449 s
% 175.33/22.61 # Total time : 21.551 s
% 175.33/22.61 # Maximum resident set size: 2336 pages
% 175.33/22.61
% 175.33/22.61 # -------------------------------------------------
% 175.33/22.61 # User time : 21.106 s
% 175.33/22.61 # System time : 0.451 s
% 175.33/22.61 # Total time : 21.557 s
% 175.33/22.61 # Maximum resident set size: 1796 pages
% 175.33/22.61 % E---3.1 exiting
%------------------------------------------------------------------------------