TSTP Solution File: NUM596+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM596+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 09:34:13 EDT 2022
% Result : Theorem 0.24s 4.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 143 ( 31 unt; 0 def)
% Number of atoms : 564 ( 91 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 727 ( 306 ~; 320 |; 58 &)
% ( 10 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 8 con; 0-3 aty)
% Number of variables : 207 ( 11 sgn 97 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4730) ).
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(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefEmp) ).
fof(m__4758,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4758) ).
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(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3291) ).
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(mNoScLessZr,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mNoScLessZr) ).
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(mFConsSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtpldt0(X2,X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mFConsSet) ).
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(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mEOfElem) ).
fof(mDirichlet,axiom,
! [X1] :
( aFunction0(X1)
=> ( ( isCountable0(szDzozmdt0(X1))
& isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) )
=> ( aElement0(szDzizrdt0(X1))
& isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1))) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDirichlet) ).
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(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCardNum) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCardSeg) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mNATSet) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mZeroLess) ).
fof(mDefPtt,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtlbdtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,szDzozmdt0(X1))
& sdtlpdtrp0(X1,X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefPtt) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mFDiffSet) ).
fof(mImgRng,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mImgRng) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mEmpFin) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCountNFin_01) ).
fof(m__,conjecture,
aElementOf0(szDzizrdt0(xd),xT),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
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(c_0_29,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(esk9_2(X4,X5),X5)
| ~ aElementOf0(esk9_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X4,X5)),X4)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(esk9_2(X4,X5),szNzAzT0)
| aElementOf0(esk9_2(X4,X5),X5)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X4,X5)),X4)
| aElementOf0(esk9_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_30,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_31,plain,
! [X4,X5,X6,X5] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk2_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk2_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])])])])])])]) ).
fof(c_0_32,hypothesis,
! [X3,X4] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X4)
| ~ aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))
| sdtlpdtrp0(xd,X3) = sdtlpdtrp0(sdtlpdtrp0(xC,X3),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)],[m__4730])])])])]) ).
fof(c_0_33,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])])]) ).
fof(c_0_34,plain,
! [X3,X4,X3] :
( ( aSet0(X3)
| X3 != slcrc0 )
& ( ~ aElementOf0(X4,X3)
| X3 != slcrc0 )
& ( ~ aSet0(X3)
| aElementOf0(esk1_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])])])])])])]) ).
cnf(c_0_35,plain,
( aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(split_conjunct,[status(thm)],[m__4758]) ).
cnf(c_0_39,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSubsetOf0(slbdtrb0(X2),slbdtrb0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]) ).
cnf(c_0_42,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_43,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk2_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_36,c_0_37]),c_0_37]) ).
cnf(c_0_48,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
cnf(c_0_50,plain,
( sdtlseqdt0(X1,sz00)
| ~ aSubsetOf0(slbdtrb0(X1),slcrc0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_51,plain,
( aSubsetOf0(X1,X2)
| X1 != slcrc0
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_52,plain,
aSet0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_41]),c_0_42])]) ).
fof(c_0_53,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(esk4_3(X5,X6,X7),X7)
| ~ aElement0(esk4_3(X5,X6,X7))
| ~ aElementOf0(esk4_3(X5,X6,X7),X5)
| esk4_3(X5,X6,X7) = X6
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk4_3(X5,X6,X7))
| aElementOf0(esk4_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk4_3(X5,X6,X7),X5)
| aElementOf0(esk4_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk4_3(X5,X6,X7) != X6
| aElementOf0(esk4_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_54,hypothesis,
( aSubsetOf0(X1,xT)
| ~ aSubsetOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
cnf(c_0_55,hypothesis,
aSet0(sdtlcdtrc0(xd,szNzAzT0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_48]),c_0_49])]) ).
cnf(c_0_56,plain,
( aSubsetOf0(slbdtrb0(X2),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_57,plain,
( sdtlseqdt0(X1,sz00)
| slbdtrb0(X1) != slcrc0
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
fof(c_0_58,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mNoScLessZr])])]) ).
fof(c_0_59,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])])])])]) ).
fof(c_0_60,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(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)],[mFConsSet])])])])]) ).
fof(c_0_61,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_62,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_63,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_64,hypothesis,
( aSubsetOf0(X1,xT)
| X1 != slcrc0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_51]),c_0_55])]) ).
cnf(c_0_65,plain,
( aSubsetOf0(slbdtrb0(X1),slcrc0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_41]),c_0_42])]) ).
cnf(c_0_66,plain,
sdtlseqdt0(sz00,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_42])]) ).
fof(c_0_67,plain,
! [X2] :
( ( aElement0(szDzizrdt0(X2))
| ~ isCountable0(szDzozmdt0(X2))
| ~ isFinite0(sdtlcdtrc0(X2,szDzozmdt0(X2)))
| ~ aFunction0(X2) )
& ( isCountable0(sdtlbdtrb0(X2,szDzizrdt0(X2)))
| ~ isCountable0(szDzozmdt0(X2))
| ~ isFinite0(sdtlcdtrc0(X2,szDzozmdt0(X2)))
| ~ aFunction0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDirichlet])])]) ).
fof(c_0_68,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_69,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),sz00)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_70,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X2))) = sbrdtbr0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_71,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_72,plain,
( isFinite0(sdtpldt0(X1,X2))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_73,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_74,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_75,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_76,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sbrdtbr0(slbdtrb0(X2)) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
cnf(c_0_77,hypothesis,
( aSubsetOf0(X1,xT)
| X2 != slcrc0
| ~ aSubsetOf0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_64]),c_0_49])]) ).
cnf(c_0_78,plain,
aSubsetOf0(slcrc0,slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_41]),c_0_66]),c_0_42])]) ).
cnf(c_0_79,plain,
( aElement0(szDzizrdt0(X1))
| ~ aFunction0(X1)
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ isCountable0(szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_80,hypothesis,
aFunction0(xd),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_81,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_82,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_83,hypothesis,
isFinite0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
cnf(c_0_84,plain,
( ~ sdtlseqdt0(sbrdtbr0(X1),sz00)
| ~ isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(sdtmndt0(X1,X2)),szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_85,plain,
( aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_86,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_72,c_0_73]),c_0_74]),c_0_75]) ).
cnf(c_0_87,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_88,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_89,hypothesis,
aSubsetOf0(slcrc0,xT),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_90,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(sz00,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
cnf(c_0_91,hypothesis,
( aElement0(szDzizrdt0(xd))
| ~ isFinite0(sdtlcdtrc0(xd,szNzAzT0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_39]),c_0_80]),c_0_81])]) ).
cnf(c_0_92,hypothesis,
isFinite0(sdtlcdtrc0(xd,szNzAzT0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_48]),c_0_83]),c_0_49])]) ).
cnf(c_0_93,plain,
( aSubsetOf0(X1,X2)
| X3 != slcrc0
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_51]) ).
fof(c_0_94,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,szDzozmdt0(X5))
| ~ aElementOf0(X8,X7)
| X7 != sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( sdtlpdtrp0(X5,X8) = X6
| ~ aElementOf0(X8,X7)
| X7 != sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,szDzozmdt0(X5))
| sdtlpdtrp0(X5,X8) != X6
| aElementOf0(X8,X7)
| X7 != sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk13_3(X5,X6,X7),X7)
| ~ aElementOf0(esk13_3(X5,X6,X7),szDzozmdt0(X5))
| sdtlpdtrp0(X5,esk13_3(X5,X6,X7)) != X6
| ~ aSet0(X7)
| X7 = sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk13_3(X5,X6,X7),szDzozmdt0(X5))
| aElementOf0(esk13_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( sdtlpdtrp0(X5,esk13_3(X5,X6,X7)) = X6
| aElementOf0(esk13_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtlbdtrb0(X5,X6)
| ~ aFunction0(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)],[mDefPtt])])])])])])]) ).
cnf(c_0_95,plain,
( ~ sdtlseqdt0(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_84,c_0_85]),c_0_86]) ).
cnf(c_0_96,plain,
sbrdtbr0(slcrc0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_41]),c_0_42])]) ).
fof(c_0_97,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aSet0(X4)
| ~ isFinite0(X4)
| isFinite0(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)],[mFDiffSet])])])])]) ).
cnf(c_0_98,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_49])]) ).
cnf(c_0_99,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aElementOf0(X1,slbdtrb0(X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_56]),c_0_46]) ).
cnf(c_0_100,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_101,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk4_3(X2,X1,X3),X3)
| aElementOf0(esk4_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_102,hypothesis,
aElement0(szDzizrdt0(xd)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_103,plain,
( aSubsetOf0(slcrc0,X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_78]) ).
fof(c_0_104,plain,
! [X3,X4] :
( ~ aFunction0(X3)
| ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(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)],[mImgRng])])])])]) ).
cnf(c_0_105,plain,
( X3 = sdtlbdtrb0(X2,X1)
| aElementOf0(esk13_3(X2,X1,X3),X3)
| sdtlpdtrp0(X2,esk13_3(X2,X1,X3)) = X1
| ~ aElement0(X1)
| ~ aFunction0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_106,plain,
( ~ isFinite0(sdtmndt0(slcrc0,X1))
| ~ aElementOf0(X1,slcrc0)
| ~ aSet0(sdtmndt0(slcrc0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_66]),c_0_52])]) ).
cnf(c_0_107,plain,
( isFinite0(sdtmndt0(X1,X2))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_108,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]) ).
cnf(c_0_109,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,slcrc0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_98]),c_0_49])]) ).
cnf(c_0_110,plain,
( X3 = sdtlbdtrb0(X2,X1)
| aElementOf0(esk13_3(X2,X1,X3),X3)
| aElementOf0(esk13_3(X2,X1,X3),szDzozmdt0(X2))
| ~ aElement0(X1)
| ~ aFunction0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
fof(c_0_111,plain,
! [X2] :
( ~ aSet0(X2)
| ~ isCountable0(X2)
| X2 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
cnf(c_0_112,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X1,slcrc0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_41]),c_0_42])]),c_0_100]) ).
cnf(c_0_113,hypothesis,
( X1 = sdtmndt0(X2,szDzizrdt0(xd))
| aElementOf0(esk4_3(X2,szDzizrdt0(xd),X1),X1)
| aElementOf0(esk4_3(X2,szDzizrdt0(xd),X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_114,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,slcrc0)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_103]) ).
cnf(c_0_115,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aElementOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_116,hypothesis,
( sdtlpdtrp0(xd,esk13_3(xd,X1,X2)) = X1
| X2 = sdtlbdtrb0(xd,X1)
| aElementOf0(esk13_3(xd,X1,X2),X2)
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_80]) ).
cnf(c_0_117,plain,
( ~ aElementOf0(X1,slcrc0)
| ~ aSet0(sdtmndt0(slcrc0,X1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_52])]),c_0_109]) ).
fof(c_0_118,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_119,hypothesis,
( X1 = sdtlbdtrb0(xd,X2)
| aElementOf0(esk13_3(xd,X2,X1),szNzAzT0)
| aElementOf0(esk13_3(xd,X2,X1),X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_80]),c_0_39]) ).
cnf(c_0_120,plain,
( X1 != slcrc0
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
fof(c_0_121,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_122,plain,
( slbdtrb0(X1) != slcrc0
| ~ aElementOf0(X2,slcrc0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_43,c_0_112]) ).
cnf(c_0_123,hypothesis,
( sdtmndt0(X1,szDzizrdt0(xd)) = slcrc0
| aElementOf0(esk4_3(X1,szDzizrdt0(xd),slcrc0),X1)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_52]),c_0_114]) ).
cnf(c_0_124,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_48]),c_0_49])]) ).
cnf(c_0_125,hypothesis,
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_39]),c_0_80])]) ).
cnf(c_0_126,hypothesis,
( sdtlpdtrp0(xd,esk13_3(xd,szDzizrdt0(xd),X1)) = szDzizrdt0(xd)
| X1 = sdtlbdtrb0(xd,szDzizrdt0(xd))
| aElementOf0(esk13_3(xd,szDzizrdt0(xd),X1),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_102]) ).
cnf(c_0_127,plain,
~ aElementOf0(X1,slcrc0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_74]),c_0_52])]),c_0_109]) ).
fof(c_0_128,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
cnf(c_0_129,hypothesis,
( X1 = sdtlbdtrb0(xd,szDzizrdt0(xd))
| aElementOf0(esk13_3(xd,szDzizrdt0(xd),X1),szNzAzT0)
| aElementOf0(esk13_3(xd,szDzizrdt0(xd),X1),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_102]) ).
cnf(c_0_130,plain,
( X1 != slcrc0
| ~ isCountable0(X1) ),
inference(csr,[status(thm)],[c_0_120,c_0_45]) ).
cnf(c_0_131,plain,
( isCountable0(sdtmndt0(X1,X2))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_132,hypothesis,
( sdtmndt0(slcrc0,szDzizrdt0(xd)) = slcrc0
| slbdtrb0(X1) != slcrc0
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_52])]) ).
cnf(c_0_133,hypothesis,
( aElementOf0(sdtlpdtrp0(xd,X1),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_134,hypothesis,
( sdtlpdtrp0(xd,esk13_3(xd,szDzizrdt0(xd),slcrc0)) = szDzizrdt0(xd)
| sdtlbdtrb0(xd,szDzizrdt0(xd)) = slcrc0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_52]),c_0_127]) ).
cnf(c_0_135,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_136,hypothesis,
( sdtlbdtrb0(xd,szDzizrdt0(xd)) = slcrc0
| aElementOf0(esk13_3(xd,szDzizrdt0(xd),slcrc0),szNzAzT0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_52]),c_0_127]) ).
cnf(c_0_137,plain,
( sdtmndt0(X1,X2) != slcrc0
| ~ isCountable0(X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_138,hypothesis,
sdtmndt0(slcrc0,szDzizrdt0(xd)) = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_41]),c_0_42])]) ).
cnf(c_0_139,plain,
( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
| ~ aFunction0(X1)
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ isCountable0(szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_140,hypothesis,
sdtlbdtrb0(xd,szDzizrdt0(xd)) = slcrc0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_136]) ).
cnf(c_0_141,hypothesis,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_102]),c_0_52])]) ).
cnf(c_0_142,hypothesis,
$false,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_80]),c_0_39]),c_0_81]),c_0_39]),c_0_92])]),c_0_141]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM596+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 02:30:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.24/4.42 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/4.42 # Preprocessing time : 0.026 s
% 0.24/4.42
% 0.24/4.42 # Proof found!
% 0.24/4.42 # SZS status Theorem
% 0.24/4.42 # SZS output start CNFRefutation
% See solution above
% 0.24/4.42 # Proof object total steps : 143
% 0.24/4.42 # Proof object clause steps : 90
% 0.24/4.42 # Proof object formula steps : 53
% 0.24/4.42 # Proof object conjectures : 4
% 0.24/4.42 # Proof object clause conjectures : 1
% 0.24/4.42 # Proof object formula conjectures : 3
% 0.24/4.42 # Proof object initial clauses used : 38
% 0.24/4.42 # Proof object initial formulas used : 29
% 0.24/4.42 # Proof object generating inferences : 48
% 0.24/4.42 # Proof object simplifying inferences : 81
% 0.24/4.42 # Training examples: 0 positive, 0 negative
% 0.24/4.42 # Parsed axioms : 94
% 0.24/4.42 # Removed by relevancy pruning/SinE : 0
% 0.24/4.42 # Initial clauses : 191
% 0.24/4.42 # Removed in clause preprocessing : 7
% 0.24/4.42 # Initial clauses in saturation : 184
% 0.24/4.42 # Processed clauses : 12667
% 0.24/4.42 # ...of these trivial : 181
% 0.24/4.42 # ...subsumed : 7778
% 0.24/4.42 # ...remaining for further processing : 4708
% 0.24/4.42 # Other redundant clauses eliminated : 27
% 0.24/4.42 # Clauses deleted for lack of memory : 0
% 0.24/4.42 # Backward-subsumed : 372
% 0.24/4.42 # Backward-rewritten : 171
% 0.24/4.42 # Generated clauses : 138050
% 0.24/4.42 # ...of the previous two non-trivial : 133435
% 0.24/4.42 # Contextual simplify-reflections : 7303
% 0.24/4.42 # Paramodulations : 137692
% 0.24/4.42 # Factorizations : 1
% 0.24/4.42 # Equation resolutions : 355
% 0.24/4.42 # Current number of processed clauses : 4160
% 0.24/4.42 # Positive orientable unit clauses : 105
% 0.24/4.42 # Positive unorientable unit clauses: 0
% 0.24/4.42 # Negative unit clauses : 73
% 0.24/4.42 # Non-unit-clauses : 3982
% 0.24/4.42 # Current number of unprocessed clauses: 110438
% 0.24/4.42 # ...number of literals in the above : 774186
% 0.24/4.42 # Current number of archived formulas : 0
% 0.24/4.42 # Current number of archived clauses : 545
% 0.24/4.42 # Clause-clause subsumption calls (NU) : 3216715
% 0.24/4.42 # Rec. Clause-clause subsumption calls : 431302
% 0.24/4.42 # Non-unit clause-clause subsumptions : 11596
% 0.24/4.42 # Unit Clause-clause subsumption calls : 27880
% 0.24/4.42 # Rewrite failures with RHS unbound : 0
% 0.24/4.42 # BW rewrite match attempts : 29
% 0.24/4.42 # BW rewrite match successes : 25
% 0.24/4.42 # Condensation attempts : 0
% 0.24/4.42 # Condensation successes : 0
% 0.24/4.42 # Termbank termtop insertions : 3485603
% 0.24/4.42
% 0.24/4.42 # -------------------------------------------------
% 0.24/4.42 # User time : 3.645 s
% 0.24/4.42 # System time : 0.073 s
% 0.24/4.42 # Total time : 3.718 s
% 0.24/4.42 # Maximum resident set size: 128400 pages
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------