TSTP Solution File: NUM537+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM537+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:33:32 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 9 unt; 0 def)
% Number of atoms : 979 ( 172 equ)
% Maximal formula atoms : 676 ( 18 avg)
% Number of connectives : 1442 ( 515 ~; 685 |; 214 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 180 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 89 ( 8 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| X1 = xx ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& X1 != xx ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) )
& ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| X1 = xx ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& X1 != xx ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
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.mepo_128.in',mDefDiff) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefCons) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).
fof(m__679,hypothesis,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__679) ).
fof(m__679_02,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__679_02) ).
fof(c_0_6,negated_conjecture,
~ ( ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| X1 = xx ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& X1 != xx ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) )
& ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| X1 = xx ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& X1 != xx ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,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])])])])])])]) ).
fof(c_0_8,negated_conjecture,
! [X2,X2,X3,X3,X5,X5,X6,X6] :
( ( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aSet0(sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElementOf0(X2,xS)
| X2 = xx
| ~ aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| X2 != xx
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| X3 != xx
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| X3 = xx
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(esk5_0,xS) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElementOf0(esk5_0,xS) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| X5 = xx
| ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| X6 = xx
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
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)],[c_0_6])])])])])])]) ).
fof(c_0_9,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| X8 = X6
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,X5)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X8 != X6
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk3_3(X5,X6,X7),X5)
| ~ aElement0(esk3_3(X5,X6,X7))
| ~ aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk3_3(X5,X6,X7) != X6
| ~ aElement0(esk3_3(X5,X6,X7))
| ~ aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk3_3(X5,X6,X7))
| aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk3_3(X5,X6,X7),X5)
| esk3_3(X5,X6,X7) = X6
| aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefCons])])])])])])]) ).
cnf(c_0_10,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,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_13,plain,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__679]) ).
cnf(c_0_17,negated_conjecture,
aSet0(sdtpldt0(xS,xx)),
inference(cn,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( aElementOf0(X4,X3)
| X4 = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( X1 = X2
| aElementOf0(X2,X3)
| ~ aElementOf0(X2,sdtpldt0(X3,X1))
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_22,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__679]) ).
cnf(c_0_23,negated_conjecture,
( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk6_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,plain,
( X1 = X2
| aElementOf0(X2,X3)
| X3 != sdtmndt0(X4,X1)
| ~ aElementOf0(X2,X4)
| ~ aElement0(X1)
| ~ aSet0(X4) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( aElementOf0(esk5_0,xS)
| aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( aElementOf0(esk5_0,xS)
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,negated_conjecture,
( aElementOf0(esk5_0,xS)
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| X1 != xx ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
( esk6_0 = xx
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_16]),c_0_22])]),c_0_23]) ).
cnf(c_0_30,plain,
( X1 = X2
| aElementOf0(X2,sdtmndt0(X3,X1))
| ~ aElementOf0(X2,X3)
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_32,negated_conjecture,
( aElementOf0(esk5_0,xS)
| X1 = xx
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( aElementOf0(esk5_0,xS)
| ~ aElementOf0(esk6_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_35,negated_conjecture,
( aElementOf0(esk5_0,xS)
| esk6_0 != xx ),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_36,negated_conjecture,
( esk5_0 = xx
| esk6_0 = xx
| ~ aElementOf0(esk5_0,sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_16]),c_0_17])]) ).
cnf(c_0_37,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
aElementOf0(esk5_0,xS),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( esk6_0 = xx
| esk5_0 = xx ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_16]),c_0_22])]) ).
cnf(c_0_40,negated_conjecture,
( esk5_0 = xx
| aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_15,c_0_39]) ).
cnf(c_0_41,negated_conjecture,
( ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| X1 != xx ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_42,negated_conjecture,
( esk5_0 = xx
| aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_30]),c_0_16]),c_0_17])]) ).
cnf(c_0_43,negated_conjecture,
( esk5_0 = xx
| X1 != xx
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_16]),c_0_17])]) ).
cnf(c_0_44,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| X1 != xx ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_45,negated_conjecture,
( esk5_0 = xx
| aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_37]),c_0_38]),c_0_16]),c_0_22])]) ).
cnf(c_0_46,negated_conjecture,
( esk5_0 = xx
| X1 != xx
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_37]),c_0_38]),c_0_16]),c_0_22])]) ).
cnf(c_0_47,negated_conjecture,
( esk5_0 = xx
| aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_48,hypothesis,
~ aElementOf0(xx,xS),
inference(fof_simplification,[status(thm)],[m__679_02]) ).
cnf(c_0_49,negated_conjecture,
esk5_0 = xx,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_39]) ).
cnf(c_0_50,hypothesis,
~ aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_49]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM537+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jul 6 00:20:30 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.21/1.40 # Preprocessing time : 0.021 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 52
% 0.21/1.40 # Proof object clause steps : 40
% 0.21/1.40 # Proof object formula steps : 12
% 0.21/1.40 # Proof object conjectures : 29
% 0.21/1.40 # Proof object clause conjectures : 26
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 18
% 0.21/1.40 # Proof object initial formulas used : 6
% 0.21/1.40 # Proof object generating inferences : 18
% 0.21/1.40 # Proof object simplifying inferences : 36
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 20
% 0.21/1.40 # Removed by relevancy pruning/SinE : 0
% 0.21/1.40 # Initial clauses : 210
% 0.21/1.40 # Removed in clause preprocessing : 4
% 0.21/1.40 # Initial clauses in saturation : 206
% 0.21/1.40 # Processed clauses : 496
% 0.21/1.40 # ...of these trivial : 46
% 0.21/1.40 # ...subsumed : 146
% 0.21/1.40 # ...remaining for further processing : 304
% 0.21/1.40 # Other redundant clauses eliminated : 14
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 60
% 0.21/1.40 # Backward-rewritten : 55
% 0.21/1.40 # Generated clauses : 1067
% 0.21/1.40 # ...of the previous two non-trivial : 899
% 0.21/1.40 # Contextual simplify-reflections : 76
% 0.21/1.40 # Paramodulations : 970
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 25
% 0.21/1.40 # Current number of processed clauses : 123
% 0.21/1.40 # Positive orientable unit clauses : 7
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 10
% 0.21/1.40 # Non-unit-clauses : 106
% 0.21/1.40 # Current number of unprocessed clauses: 297
% 0.21/1.40 # ...number of literals in the above : 1757
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 115
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 12418
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 3554
% 0.21/1.40 # Non-unit clause-clause subsumptions : 453
% 0.21/1.40 # Unit Clause-clause subsumption calls : 785
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 5
% 0.21/1.40 # BW rewrite match successes : 5
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 29570
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.061 s
% 0.21/1.40 # System time : 0.007 s
% 0.21/1.40 # Total time : 0.068 s
% 0.21/1.40 # Maximum resident set size: 3956 pages
%------------------------------------------------------------------------------