TSTP Solution File: NUM535+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM535+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 09:33:31 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 64 ( 16 unt; 0 def)
% Number of atoms : 992 ( 171 equ)
% Maximal formula atoms : 676 ( 15 avg)
% Number of connectives : 1432 ( 504 ~; 687 |; 213 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 179 ( 7 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 : 73 ( 8 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
<=> ( aElement0(X1)
& aElementOf0(X1,xS)
& X1 != xx ) ) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| X1 = xx ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) )
& ( ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
<=> ( aElement0(X1)
& aElementOf0(X1,xS)
& X1 != xx ) ) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| X1 = xx ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
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(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(m__617,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__617) ).
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(m__617_02,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__617_02) ).
fof(c_0_6,negated_conjecture,
~ ( ( ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
<=> ( aElement0(X1)
& aElementOf0(X1,xS)
& X1 != xx ) ) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| X1 = xx ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) )
& ( ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
<=> ( aElement0(X1)
& aElementOf0(X1,xS)
& X1 != xx ) ) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| X1 = xx ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,negated_conjecture,
! [X2,X2,X3,X3,X5,X5,X6,X6] :
( ( aSet0(sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aSet0(sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| X2 = xx
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(X3,sdtmndt0(xS,xx))
| X3 = xx
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| X3 != xx
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElementOf0(esk1_0,xS) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(esk1_0,xS) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(esk1_0,xS) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(esk1_0,xS) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| aElementOf0(esk1_0,xS) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk1_0,xS) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk1_0,xS) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk1_0,xS) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk1_0,xS) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk1_0,xS) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk1_0,xS) )
& ( ~ aElementOf0(esk2_0,xS)
| aElementOf0(esk1_0,xS) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(esk1_0,xS) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X5 != xx
| ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| X5 = xx
| aElementOf0(X5,sdtmndt0(xS,xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| X6 = xx
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X6 != xx
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk2_0,xS)
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(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])])])])])])]) ).
cnf(c_0_8,negated_conjecture,
( aElementOf0(esk1_0,xS)
| X1 = xx
| aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( aElementOf0(esk1_0,xS)
| aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,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_11,negated_conjecture,
( aElementOf0(esk1_0,xS)
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( xx = esk2_0
| aElementOf0(esk2_0,sdtmndt0(xS,xx))
| aElementOf0(esk1_0,xS) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( aElementOf0(esk1_0,xS)
| ~ aElementOf0(esk2_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(esk2_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(esk2_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,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(esk4_3(X5,X6,X7),X5)
| ~ aElement0(esk4_3(X5,X6,X7))
| ~ aElementOf0(esk4_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk4_3(X5,X6,X7) != X6
| ~ aElement0(esk4_3(X5,X6,X7))
| ~ aElementOf0(esk4_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk4_3(X5,X6,X7))
| aElementOf0(esk4_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk4_3(X5,X6,X7),X5)
| esk4_3(X5,X6,X7) = X6
| aElementOf0(esk4_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_17,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
( xx = esk2_0
| aElementOf0(esk1_0,xS) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_19,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__617]) ).
cnf(c_0_20,negated_conjecture,
( ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk2_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(esk2_0,xS) ),
inference(csr,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_22,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(esk5_3(X5,X6,X7),X7)
| ~ aElement0(esk5_3(X5,X6,X7))
| ~ aElementOf0(esk5_3(X5,X6,X7),X5)
| esk5_3(X5,X6,X7) = X6
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk5_3(X5,X6,X7))
| aElementOf0(esk5_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk5_3(X5,X6,X7),X5)
| aElementOf0(esk5_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk5_3(X5,X6,X7) != X6
| aElementOf0(esk5_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_23,plain,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| X1 != xx ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,negated_conjecture,
( xx = esk2_0
| aElement0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_26,negated_conjecture,
( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,hypothesis,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[m__617_02]) ).
cnf(c_0_28,negated_conjecture,
( aSet0(sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,negated_conjecture,
( aElementOf0(X1,sdtmndt0(xS,xx))
| X1 = xx
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1)
| ~ aElementOf0(esk2_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_30,negated_conjecture,
( ~ aElementOf0(esk1_0,sdtmndt0(xS,xx))
| ~ aElementOf0(esk2_0,xS) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_31,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( X1 = X2
| aElementOf0(X2,X3)
| ~ aElementOf0(X2,sdtpldt0(X3,X1))
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_33,negated_conjecture,
( xx = esk2_0
| aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx != esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_34,hypothesis,
aElement0(xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_27]),c_0_19])]) ).
cnf(c_0_35,negated_conjecture,
aSet0(sdtmndt0(xS,xx)),
inference(cn,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| X1 != xx
| ~ aElementOf0(esk2_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_37,negated_conjecture,
( xx = esk2_0
| xx = esk1_0
| ~ aElementOf0(esk2_0,xS) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_18]),c_0_30]) ).
cnf(c_0_38,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( xx = esk2_0
| aElementOf0(esk2_0,sdtmndt0(xS,xx))
| xx != esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_40,negated_conjecture,
( xx = esk2_0
| ~ aElementOf0(esk2_0,xS) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_25]),c_0_37]),c_0_20]) ).
cnf(c_0_41,negated_conjecture,
( aElementOf0(X1,sdtmndt0(xS,xx))
| X1 = xx
| aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_42,negated_conjecture,
( xx = esk2_0
| xx != esk1_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_34]),c_0_19])]),c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( xx = esk2_0
| aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk1_0,sdtmndt0(xS,xx)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_25]),c_0_18]),c_0_42]) ).
cnf(c_0_44,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_45,negated_conjecture,
( aElement0(X1)
| aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_46,negated_conjecture,
( xx = esk2_0
| aElementOf0(esk1_0,sdtmndt0(xS,xx))
| aElementOf0(esk2_0,sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_43]),c_0_34]),c_0_35])]) ).
cnf(c_0_47,negated_conjecture,
( aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(csr,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( xx = esk2_0
| aElementOf0(esk1_0,sdtmndt0(xS,xx)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_46]),c_0_34]),c_0_19])]),c_0_40]) ).
cnf(c_0_49,negated_conjecture,
( xx = esk2_0
| aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_26]) ).
cnf(c_0_50,negated_conjecture,
( xx = esk2_0
| aElementOf0(esk2_0,sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_49]),c_0_34]),c_0_35])]) ).
cnf(c_0_51,negated_conjecture,
xx = esk2_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_50]),c_0_34]),c_0_19])]),c_0_40]) ).
cnf(c_0_52,hypothesis,
aElementOf0(esk2_0,xS),
inference(rw,[status(thm)],[c_0_27,c_0_51]) ).
cnf(c_0_53,negated_conjecture,
aElementOf0(esk1_0,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_52])]) ).
cnf(c_0_54,negated_conjecture,
( ~ aElementOf0(esk1_0,sdtmndt0(xS,esk2_0))
| ~ aElementOf0(esk2_0,xS) ),
inference(rw,[status(thm)],[c_0_30,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_24,c_0_34]) ).
cnf(c_0_56,negated_conjecture,
( X1 = esk2_0
| aElementOf0(X1,sdtmndt0(xS,esk2_0))
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_51]),c_0_51]),c_0_52])]) ).
cnf(c_0_57,negated_conjecture,
aElement0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_53]),c_0_19])]) ).
cnf(c_0_58,negated_conjecture,
~ aElementOf0(esk1_0,sdtmndt0(xS,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_52])]) ).
cnf(c_0_59,negated_conjecture,
aElementOf0(esk2_0,sdtpldt0(sdtmndt0(xS,esk2_0),esk2_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)],[c_0_55,c_0_51]),c_0_51]),c_0_51]),c_0_51]),c_0_51])]) ).
cnf(c_0_60,negated_conjecture,
esk2_0 = esk1_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_53])]),c_0_58]) ).
cnf(c_0_61,negated_conjecture,
~ aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,esk2_0),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_51]),c_0_51]),c_0_52])]) ).
cnf(c_0_62,negated_conjecture,
aElementOf0(esk1_0,sdtpldt0(sdtmndt0(xS,esk1_0),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_60]),c_0_60]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_60]),c_0_60]),c_0_62])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM535+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 19:48:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.161 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 64
% 0.22/1.40 # Proof object clause steps : 53
% 0.22/1.40 # Proof object formula steps : 11
% 0.22/1.40 # Proof object conjectures : 47
% 0.22/1.40 # Proof object clause conjectures : 44
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 20
% 0.22/1.40 # Proof object initial formulas used : 6
% 0.22/1.40 # Proof object generating inferences : 21
% 0.22/1.40 # Proof object simplifying inferences : 69
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 19
% 0.22/1.40 # Removed by relevancy pruning/SinE : 7
% 0.22/1.40 # Initial clauses : 199
% 0.22/1.40 # Removed in clause preprocessing : 2
% 0.22/1.40 # Initial clauses in saturation : 197
% 0.22/1.40 # Processed clauses : 441
% 0.22/1.40 # ...of these trivial : 64
% 0.22/1.40 # ...subsumed : 142
% 0.22/1.40 # ...remaining for further processing : 234
% 0.22/1.40 # Other redundant clauses eliminated : 2
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 10
% 0.22/1.40 # Backward-rewritten : 161
% 0.22/1.40 # Generated clauses : 958
% 0.22/1.40 # ...of the previous two non-trivial : 899
% 0.22/1.40 # Contextual simplify-reflections : 201
% 0.22/1.40 # Paramodulations : 946
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 12
% 0.22/1.40 # Current number of processed clauses : 61
% 0.22/1.40 # Positive orientable unit clauses : 10
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 2
% 0.22/1.40 # Non-unit-clauses : 49
% 0.22/1.40 # Current number of unprocessed clauses: 157
% 0.22/1.40 # ...number of literals in the above : 971
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 171
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 11281
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 2855
% 0.22/1.40 # Non-unit clause-clause subsumptions : 351
% 0.22/1.40 # Unit Clause-clause subsumption calls : 110
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 5
% 0.22/1.40 # BW rewrite match successes : 5
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 31758
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.723 s
% 0.22/1.40 # System time : 0.003 s
% 0.22/1.40 # Total time : 0.726 s
% 0.22/1.40 # Maximum resident set size: 5320 pages
%------------------------------------------------------------------------------