TSTP Solution File: NUM579+3 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM579+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 01:14:48 EDT 2024
% Result : Theorem 27.82s 4.09s
% Output : CNFRefutation 27.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 77 ( 24 unt; 0 def)
% Number of atoms : 645 ( 80 equ)
% Maximal formula atoms : 181 ( 8 avg)
% Number of connectives : 882 ( 314 ~; 343 |; 164 &)
% ( 14 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 122 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
| aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS) )
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK )
| aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
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(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
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(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(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(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
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(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(m__3435,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
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(c_0_14,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
| aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS) )
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK )
| aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_15,hypothesis,
! [X212,X213] :
( ( aSet0(sdtlpdtrp0(xN,X212))
| ~ aElementOf0(X212,szNzAzT0) )
& ( ~ aElementOf0(X213,sdtlpdtrp0(xN,X212))
| aElementOf0(X213,szNzAzT0)
| ~ aElementOf0(X212,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X212),szNzAzT0)
| ~ aElementOf0(X212,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X212))
| ~ aElementOf0(X212,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__3671])])])])]) ).
fof(c_0_16,negated_conjecture,
! [X223,X224,X225,X226,X227] :
( aElementOf0(esk33_0,szNzAzT0)
& aSet0(esk34_0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0))
& ( ~ aElementOf0(X223,sdtlpdtrp0(xN,esk33_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),X223) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
& ( aElement0(X224)
| ~ aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( aElementOf0(X224,sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( X224 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( ~ aElement0(X224)
| ~ aElementOf0(X224,sdtlpdtrp0(xN,esk33_0))
| X224 = szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( ~ aElementOf0(X225,esk34_0)
| aElementOf0(X225,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& aSubsetOf0(esk34_0,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
& sbrdtbr0(esk34_0) = xk
& aElementOf0(esk34_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))),xk))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0))
& ( ~ aElementOf0(X226,sdtlpdtrp0(xN,esk33_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),X226) )
& aSet0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
& ( aElement0(X227)
| ~ aElementOf0(X227,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( aElementOf0(X227,esk34_0)
| X227 = szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X227,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( ~ aElementOf0(X227,esk34_0)
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( X227 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElement0(X227)
| aElementOf0(X227,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK )
& ( ~ aElementOf0(esk35_0,xS)
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK )
& ( ~ aSubsetOf0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))),xS)
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK )
& ~ aElementOf0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))),slbdtsldtrb0(xS,xK)) ),
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_14])])])])])]) ).
fof(c_0_17,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_18,plain,
! [X84] :
( ( ~ aElementOf0(sbrdtbr0(X84),szNzAzT0)
| isFinite0(X84)
| ~ aSet0(X84) )
& ( ~ isFinite0(X84)
| aElementOf0(sbrdtbr0(X84),szNzAzT0)
| ~ aSet0(X84) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])])]) ).
fof(c_0_19,plain,
! [X10,X11] :
( ~ aSet0(X10)
| ~ aElementOf0(X11,X10)
| aElement0(X11) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
cnf(c_0_20,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
aElementOf0(esk33_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X33,X34,X35,X36,X37,X38] :
( ( aSet0(X35)
| X35 != sdtpldt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( aElement0(X36)
| ~ aElementOf0(X36,X35)
| X35 != sdtpldt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( aElementOf0(X36,X33)
| X36 = X34
| ~ aElementOf0(X36,X35)
| X35 != sdtpldt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( ~ aElementOf0(X37,X33)
| ~ aElement0(X37)
| aElementOf0(X37,X35)
| X35 != sdtpldt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( X37 != X34
| ~ aElement0(X37)
| aElementOf0(X37,X35)
| X35 != sdtpldt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( ~ aElementOf0(esk3_3(X33,X34,X38),X33)
| ~ aElement0(esk3_3(X33,X34,X38))
| ~ aElementOf0(esk3_3(X33,X34,X38),X38)
| ~ aSet0(X38)
| X38 = sdtpldt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( esk3_3(X33,X34,X38) != X34
| ~ aElement0(esk3_3(X33,X34,X38))
| ~ aElementOf0(esk3_3(X33,X34,X38),X38)
| ~ aSet0(X38)
| X38 = sdtpldt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( aElement0(esk3_3(X33,X34,X38))
| aElementOf0(esk3_3(X33,X34,X38),X38)
| ~ aSet0(X38)
| X38 = sdtpldt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) )
& ( aElementOf0(esk3_3(X33,X34,X38),X33)
| esk3_3(X33,X34,X38) = X34
| aElementOf0(esk3_3(X33,X34,X38),X38)
| ~ aSet0(X38)
| X38 = sdtpldt0(X33,X34)
| ~ aSet0(X33)
| ~ aElement0(X34) ) ),
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_23,plain,
! [X86,X87] :
( ~ aSet0(X86)
| ~ isFinite0(X86)
| ~ aElement0(X87)
| aElementOf0(X87,X86)
| sbrdtbr0(sdtpldt0(X86,X87)) = szszuzczcdt0(sbrdtbr0(X86)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
cnf(c_0_24,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
sbrdtbr0(esk34_0) = xk,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_27,negated_conjecture,
aSet0(esk34_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
aSet0(sdtlpdtrp0(xN,esk33_0)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_31,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,hypothesis,
szszuzczcdt0(xk) = xK,
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_35,negated_conjecture,
isFinite0(esk34_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_36,negated_conjecture,
aElement0(szmzizndt0(sdtlpdtrp0(xN,esk33_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
fof(c_0_37,plain,
! [X67] :
( ~ aElementOf0(X67,szNzAzT0)
| sdtlseqdt0(sz00,X67) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])])]) ).
fof(c_0_38,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
inference(fof_simplification,[status(thm)],[m__3623]) ).
cnf(c_0_39,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0) ),
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_32,c_0_33]),c_0_25]),c_0_34]),c_0_35]),c_0_36]),c_0_27])]) ).
cnf(c_0_41,negated_conjecture,
( X1 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_42,hypothesis,
! [X214,X215,X216] :
( ( ~ aElementOf0(X216,sdtlpdtrp0(xN,X214))
| aElementOf0(X216,sdtlpdtrp0(xN,X215))
| ~ sdtlseqdt0(X215,X214)
| ~ aElementOf0(X214,szNzAzT0)
| ~ aElementOf0(X215,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X214),sdtlpdtrp0(xN,X215))
| ~ sdtlseqdt0(X215,X214)
| ~ aElementOf0(X214,szNzAzT0)
| ~ aElementOf0(X215,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__3754])])])])]) ).
cnf(c_0_43,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_44,hypothesis,
! [X206,X208,X209,X210,X211] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X206)),sdtlpdtrp0(xN,X206))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X208,sdtlpdtrp0(xN,X206))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X206)),X208)
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElementOf0(X209,sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( X209 != szmzizndt0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElement0(X210)
| ~ aElementOf0(X210,sdtlpdtrp0(xN,X206))
| X210 = szmzizndt0(sdtlpdtrp0(xN,X206))
| aElementOf0(X210,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| aElementOf0(X211,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X206)),sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| aElementOf0(esk31_1(X206),sdtlpdtrp0(xN,X206))
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X206)),sdtlpdtrp0(xN,X206))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X208,sdtlpdtrp0(xN,X206))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X206)),X208)
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElementOf0(X209,sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( X209 != szmzizndt0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElement0(X210)
| ~ aElementOf0(X210,sdtlpdtrp0(xN,X206))
| X210 = szmzizndt0(sdtlpdtrp0(xN,X206))
| aElementOf0(X210,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| aElementOf0(X211,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X206)),sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| ~ aElementOf0(esk31_1(X206),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X206))
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X206)),sdtlpdtrp0(xN,X206))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X208,sdtlpdtrp0(xN,X206))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X206)),X208)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aElementOf0(X209,sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( X209 != szmzizndt0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElement0(X210)
| ~ aElementOf0(X210,sdtlpdtrp0(xN,X206))
| X210 = szmzizndt0(sdtlpdtrp0(xN,X206))
| aElementOf0(X210,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| aElementOf0(X211,sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X206)),sdtmndt0(sdtlpdtrp0(xN,X206),szmzizndt0(sdtlpdtrp0(xN,X206))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X206)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X206),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X206))
| ~ aElementOf0(X206,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)],[c_0_38])])])])])])]) ).
cnf(c_0_45,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| ~ aElementOf0(X1,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_46,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = esk35_0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
| aElementOf0(esk35_0,esk34_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_36]),c_0_27])]) ).
cnf(c_0_47,negated_conjecture,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_48,negated_conjecture,
aSet0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_49,plain,
! [X20,X21,X22,X23] :
( ( aSet0(X21)
| ~ aSubsetOf0(X21,X20)
| ~ aSet0(X20) )
& ( ~ aElementOf0(X22,X21)
| aElementOf0(X22,X20)
| ~ aSubsetOf0(X21,X20)
| ~ aSet0(X20) )
& ( aElementOf0(esk2_2(X20,X23),X23)
| ~ aSet0(X23)
| aSubsetOf0(X23,X20)
| ~ aSet0(X20) )
& ( ~ aElementOf0(esk2_2(X20,X23),X20)
| ~ aSet0(X23)
| aSubsetOf0(X23,X20)
| ~ aSet0(X20) ) ),
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])])])])])])]) ).
cnf(c_0_50,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,negated_conjecture,
sdtlseqdt0(sz00,esk33_0),
inference(spm,[status(thm)],[c_0_43,c_0_21]) ).
cnf(c_0_52,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
fof(c_0_54,hypothesis,
! [X178] :
( aSet0(xS)
& ( ~ aElementOf0(X178,xS)
| aElementOf0(X178,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3435])])])]) ).
cnf(c_0_55,negated_conjecture,
( ~ aElementOf0(esk35_0,xS)
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_56,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = esk35_0
| aElementOf0(esk35_0,esk34_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_57,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
| aElement0(esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_48])]) ).
fof(c_0_58,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_59,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,esk33_0),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]),c_0_21])]) ).
cnf(c_0_61,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
( aElementOf0(esk35_0,esk34_0)
| sbrdtbr0(sdtpldt0(esk34_0,esk35_0)) != xK
| ~ aElementOf0(esk35_0,xS) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
aElement0(esk35_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_57]),c_0_47]) ).
fof(c_0_64,plain,
! [X40,X41,X42,X43,X44,X45] :
( ( aSet0(X42)
| X42 != sdtmndt0(X40,X41)
| ~ aSet0(X40)
| ~ aElement0(X41) )
& ( aElement0(X43)
| ~ aElementOf0(X43,X42)
| X42 != sdtmndt0(X40,X41)
| ~ aSet0(X40)
| ~ aElement0(X41) )
& ( aElementOf0(X43,X40)
| ~ aElementOf0(X43,X42)
| X42 != sdtmndt0(X40,X41)
| ~ aSet0(X40)
| ~ aElement0(X41) )
& ( X43 != X41
| ~ aElementOf0(X43,X42)
| X42 != sdtmndt0(X40,X41)
| ~ aSet0(X40)
| ~ aElement0(X41) )
& ( ~ aElement0(X44)
| ~ aElementOf0(X44,X40)
| X44 = X41
| aElementOf0(X44,X42)
| X42 != sdtmndt0(X40,X41)
| ~ aSet0(X40)
| ~ aElement0(X41) )
& ( ~ aElementOf0(esk4_3(X40,X41,X45),X45)
| ~ aElement0(esk4_3(X40,X41,X45))
| ~ aElementOf0(esk4_3(X40,X41,X45),X40)
| esk4_3(X40,X41,X45) = X41
| ~ aSet0(X45)
| X45 = sdtmndt0(X40,X41)
| ~ aSet0(X40)
| ~ aElement0(X41) )
& ( aElement0(esk4_3(X40,X41,X45))
| aElementOf0(esk4_3(X40,X41,X45),X45)
| ~ aSet0(X45)
| X45 = sdtmndt0(X40,X41)
| ~ aSet0(X40)
| ~ aElement0(X41) )
& ( aElementOf0(esk4_3(X40,X41,X45),X40)
| aElementOf0(esk4_3(X40,X41,X45),X45)
| ~ aSet0(X45)
| X45 = sdtmndt0(X40,X41)
| ~ aSet0(X40)
| ~ aElement0(X41) )
& ( esk4_3(X40,X41,X45) != X41
| aElementOf0(esk4_3(X40,X41,X45),X45)
| ~ aSet0(X45)
| X45 = sdtmndt0(X40,X41)
| ~ aSet0(X40)
| ~ aElement0(X41) ) ),
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_58])])])])])])]) ).
cnf(c_0_65,negated_conjecture,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk33_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
cnf(c_0_66,negated_conjecture,
( aElementOf0(esk35_0,sdtlpdtrp0(xN,esk33_0))
| aElementOf0(esk35_0,esk34_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
( aElementOf0(esk35_0,esk34_0)
| ~ aElementOf0(esk35_0,xS) ),
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_62,c_0_33]),c_0_25]),c_0_34]),c_0_35]),c_0_63]),c_0_27])]) ).
cnf(c_0_68,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,negated_conjecture,
aElementOf0(esk35_0,esk34_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_70,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_68]) ).
cnf(c_0_71,negated_conjecture,
aElementOf0(esk35_0,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(spm,[status(thm)],[c_0_45,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
aElementOf0(esk35_0,sdtlpdtrp0(xN,esk33_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_36]),c_0_30])]) ).
cnf(c_0_73,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
| ~ aElementOf0(esk35_0,xS) ),
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_55,c_0_33]),c_0_25]),c_0_34]),c_0_35]),c_0_36]),c_0_27])]) ).
cnf(c_0_74,negated_conjecture,
aElementOf0(esk35_0,xS),
inference(spm,[status(thm)],[c_0_65,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_76,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_75]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM579+3 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 06:07:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.82/4.09 # Version: 3.1.0
% 27.82/4.09 # Preprocessing class: FSLSSMSMSSSNFFN.
% 27.82/4.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.82/4.09 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 27.82/4.09 # Starting new_bool_3 with 300s (1) cores
% 27.82/4.09 # Starting new_bool_1 with 300s (1) cores
% 27.82/4.09 # Starting sh5l with 300s (1) cores
% 27.82/4.09 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 12799 completed with status 0
% 27.82/4.09 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 27.82/4.09 # Preprocessing class: FSLSSMSMSSSNFFN.
% 27.82/4.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.82/4.09 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 27.82/4.09 # No SInE strategy applied
% 27.82/4.09 # Search class: FGHSF-SMLM32-MFFFFFNN
% 27.82/4.09 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 27.82/4.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 27.82/4.09 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 27.82/4.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 27.82/4.09 # Starting new_bool_3 with 136s (1) cores
% 27.82/4.09 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 27.82/4.09 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 12807 completed with status 0
% 27.82/4.09 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 27.82/4.09 # Preprocessing class: FSLSSMSMSSSNFFN.
% 27.82/4.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.82/4.09 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 27.82/4.09 # No SInE strategy applied
% 27.82/4.09 # Search class: FGHSF-SMLM32-MFFFFFNN
% 27.82/4.09 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 27.82/4.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 27.82/4.09 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 27.82/4.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 27.82/4.09 # Preprocessing time : 0.084 s
% 27.82/4.09 # Presaturation interreduction done
% 27.82/4.09
% 27.82/4.09 # Proof found!
% 27.82/4.09 # SZS status Theorem
% 27.82/4.09 # SZS output start CNFRefutation
% See solution above
% 27.82/4.09 # Parsed axioms : 85
% 27.82/4.09 # Removed by relevancy pruning/SinE : 0
% 27.82/4.09 # Initial clauses : 4210
% 27.82/4.09 # Removed in clause preprocessing : 7
% 27.82/4.09 # Initial clauses in saturation : 4203
% 27.82/4.09 # Processed clauses : 7340
% 27.82/4.09 # ...of these trivial : 52
% 27.82/4.09 # ...subsumed : 814
% 27.82/4.09 # ...remaining for further processing : 6474
% 27.82/4.09 # Other redundant clauses eliminated : 1942
% 27.82/4.09 # Clauses deleted for lack of memory : 0
% 27.82/4.09 # Backward-subsumed : 36
% 27.82/4.09 # Backward-rewritten : 61
% 27.82/4.09 # Generated clauses : 7503
% 27.82/4.09 # ...of the previous two non-redundant : 6888
% 27.82/4.09 # ...aggressively subsumed : 0
% 27.82/4.09 # Contextual simplify-reflections : 70
% 27.82/4.09 # Paramodulations : 5746
% 27.82/4.09 # Factorizations : 6
% 27.82/4.09 # NegExts : 0
% 27.82/4.09 # Equation resolutions : 1945
% 27.82/4.09 # Disequality decompositions : 0
% 27.82/4.09 # Total rewrite steps : 4300
% 27.82/4.09 # ...of those cached : 4054
% 27.82/4.09 # Propositional unsat checks : 2
% 27.82/4.09 # Propositional check models : 2
% 27.82/4.09 # Propositional check unsatisfiable : 0
% 27.82/4.09 # Propositional clauses : 0
% 27.82/4.09 # Propositional clauses after purity: 0
% 27.82/4.09 # Propositional unsat core size : 0
% 27.82/4.09 # Propositional preprocessing time : 0.000
% 27.82/4.09 # Propositional encoding time : 0.026
% 27.82/4.09 # Propositional solver time : 0.001
% 27.82/4.09 # Success case prop preproc time : 0.000
% 27.82/4.09 # Success case prop encoding time : 0.000
% 27.82/4.09 # Success case prop solver time : 0.000
% 27.82/4.09 # Current number of processed clauses : 1021
% 27.82/4.09 # Positive orientable unit clauses : 395
% 27.82/4.09 # Positive unorientable unit clauses: 0
% 27.82/4.09 # Negative unit clauses : 47
% 27.82/4.09 # Non-unit-clauses : 579
% 27.82/4.09 # Current number of unprocessed clauses: 7302
% 27.82/4.09 # ...number of literals in the above : 54819
% 27.82/4.09 # Current number of archived formulas : 0
% 27.82/4.09 # Current number of archived clauses : 3706
% 27.82/4.09 # Clause-clause subsumption calls (NU) : 6842771
% 27.82/4.09 # Rec. Clause-clause subsumption calls : 82739
% 27.82/4.09 # Non-unit clause-clause subsumptions : 817
% 27.82/4.09 # Unit Clause-clause subsumption calls : 24350
% 27.82/4.09 # Rewrite failures with RHS unbound : 0
% 27.82/4.09 # BW rewrite match attempts : 586
% 27.82/4.09 # BW rewrite match successes : 34
% 27.82/4.09 # Condensation attempts : 0
% 27.82/4.09 # Condensation successes : 0
% 27.82/4.09 # Termbank termtop insertions : 885764
% 27.82/4.09 # Search garbage collected termcells : 27369
% 27.82/4.09
% 27.82/4.09 # -------------------------------------------------
% 27.82/4.09 # User time : 3.531 s
% 27.82/4.09 # System time : 0.041 s
% 27.82/4.09 # Total time : 3.572 s
% 27.82/4.09 # Maximum resident set size: 13400 pages
% 27.82/4.09
% 27.82/4.09 # -------------------------------------------------
% 27.82/4.09 # User time : 16.891 s
% 27.82/4.09 # System time : 0.131 s
% 27.82/4.09 # Total time : 17.022 s
% 27.82/4.09 # Maximum resident set size: 1820 pages
% 27.82/4.09 % E---3.1 exiting
% 27.82/4.09 % E exiting
%------------------------------------------------------------------------------