%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM535+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 5 04:57:43 PM UTC 2026
% Result : Theorem 1.38s 1.76s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 11 unt; 0 def)
% Number of atoms : 965 ( 164 equ)
% Maximal formula atoms : 676 ( 19 avg)
% Number of connectives : 1420 ( 504 ~; 675 |; 213 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 175 ( 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 : 76 ( 0 sgn 40 !; 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/benchmark/theBenchmark.p',m__) ).
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(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__617_02,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__617_02) ).
fof(m__617,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',mDefDiff) ).
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,plain,
! [X61,X62,X63,X64,X65,X66] :
( ( aSet0(X63)
| X63 != sdtpldt0(X61,X62)
| ~ aSet0(X61)
| ~ aElement0(X62) )
& ( aElement0(X64)
| ~ aElementOf0(X64,X63)
| X63 != sdtpldt0(X61,X62)
| ~ aSet0(X61)
| ~ aElement0(X62) )
& ( aElementOf0(X64,X61)
| X64 = X62
| ~ aElementOf0(X64,X63)
| X63 != sdtpldt0(X61,X62)
| ~ aSet0(X61)
| ~ aElement0(X62) )
& ( ~ aElementOf0(X65,X61)
| ~ aElement0(X65)
| aElementOf0(X65,X63)
| X63 != sdtpldt0(X61,X62)
| ~ aSet0(X61)
| ~ aElement0(X62) )
& ( X65 != X62
| ~ aElement0(X65)
| aElementOf0(X65,X63)
| X63 != sdtpldt0(X61,X62)
| ~ aSet0(X61)
| ~ aElement0(X62) )
& ( ~ aElementOf0(esk3_3(X61,X62,X66),X61)
| ~ aElement0(esk3_3(X61,X62,X66))
| ~ aElementOf0(esk3_3(X61,X62,X66),X66)
| ~ aSet0(X66)
| X66 = sdtpldt0(X61,X62)
| ~ aSet0(X61)
| ~ aElement0(X62) )
& ( esk3_3(X61,X62,X66) != X62
| ~ aElement0(esk3_3(X61,X62,X66))
| ~ aElementOf0(esk3_3(X61,X62,X66),X66)
| ~ aSet0(X66)
| X66 = sdtpldt0(X61,X62)
| ~ aSet0(X61)
| ~ aElement0(X62) )
& ( aElement0(esk3_3(X61,X62,X66))
| aElementOf0(esk3_3(X61,X62,X66),X66)
| ~ aSet0(X66)
| X66 = sdtpldt0(X61,X62)
| ~ aSet0(X61)
| ~ aElement0(X62) )
& ( aElementOf0(esk3_3(X61,X62,X66),X61)
| esk3_3(X61,X62,X66) = X62
| aElementOf0(esk3_3(X61,X62,X66),X66)
| ~ aSet0(X66)
| X66 = sdtpldt0(X61,X62)
| ~ aSet0(X61)
| ~ aElement0(X62) ) ),
inference(distribute,[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_8,negated_conjecture,
! [X75,X76,X78,X79] :
( ( aSet0(sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aSet0(sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElement0(X75)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(X75,xS)
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| X75 != xx
| ~ aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aElement0(X75)
| ~ aElementOf0(X75,xS)
| X75 = xx
| aElementOf0(X75,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_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(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElement0(X76)
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(X76,sdtmndt0(xS,xx))
| X76 = xx
| ~ aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aElementOf0(X76,sdtmndt0(xS,xx))
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| X76 != xx
| ~ aElement0(X76)
| aElementOf0(X76,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(esk5_0,xS) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| aElementOf0(esk5_0,xS) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X78)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X78,xS)
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X78 != xx
| ~ aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X78)
| ~ aElementOf0(X78,xS)
| X78 = xx
| aElementOf0(X78,sdtmndt0(xS,xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X79,sdtmndt0(xS,xx))
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X79,sdtmndt0(xS,xx))
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_9,plain,
! [X40,X41] :
( ~ aSet0(X40)
| ~ aElementOf0(X41,X40)
| aElement0(X41) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_10,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( aSet0(sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[m__617_02]) ).
cnf(c_0_14,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__617]) ).
fof(c_0_15,plain,
! [X68,X69,X70,X71,X72,X73] :
( ( aSet0(X70)
| X70 != sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( aElement0(X71)
| ~ aElementOf0(X71,X70)
| X70 != sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( aElementOf0(X71,X68)
| ~ aElementOf0(X71,X70)
| X70 != sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( X71 != X69
| ~ aElementOf0(X71,X70)
| X70 != sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( ~ aElement0(X72)
| ~ aElementOf0(X72,X68)
| X72 = X69
| aElementOf0(X72,X70)
| X70 != sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( ~ aElementOf0(esk4_3(X68,X69,X73),X73)
| ~ aElement0(esk4_3(X68,X69,X73))
| ~ aElementOf0(esk4_3(X68,X69,X73),X68)
| esk4_3(X68,X69,X73) = X69
| ~ aSet0(X73)
| X73 = sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( aElement0(esk4_3(X68,X69,X73))
| aElementOf0(esk4_3(X68,X69,X73),X73)
| ~ aSet0(X73)
| X73 = sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( aElementOf0(esk4_3(X68,X69,X73),X68)
| aElementOf0(esk4_3(X68,X69,X73),X73)
| ~ aSet0(X73)
| X73 = sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) )
& ( esk4_3(X68,X69,X73) != X69
| aElementOf0(esk4_3(X68,X69,X73),X73)
| ~ aSet0(X73)
| X73 = sdtmndt0(X68,X69)
| ~ aSet0(X68)
| ~ aElement0(X69) ) ),
inference(distribute,[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)],[mDefDiff])])])])])]) ).
cnf(c_0_16,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
aSet0(sdtmndt0(xS,xx)),
inference(cn,[status(thm)],[c_0_11]) ).
cnf(c_0_19,hypothesis,
aElement0(xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_20,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( esk6_0 = xx
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19])]) ).
cnf(c_0_25,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_20,c_0_12])]) ).
cnf(c_0_26,negated_conjecture,
( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(esk6_0,xS) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( aElementOf0(X1,sdtmndt0(xS,xx))
| X1 = xx
| aElementOf0(esk5_0,xS)
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,plain,
( X1 = X3
| aElementOf0(X1,X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X2)
| X4 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_31,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( esk6_0 = xx
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19]),c_0_18])]) ).
cnf(c_0_33,negated_conjecture,
( ~ aElementOf0(esk5_0,sdtmndt0(xS,xx))
| ~ aElementOf0(esk6_0,xS) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( esk6_0 = xx
| aElementOf0(esk6_0,sdtmndt0(xS,xx))
| aElementOf0(esk5_0,xS) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( aElementOf0(esk5_0,xS)
| ~ aElementOf0(esk6_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElementOf0(X1,X3)
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_30,c_0_12])]) ).
cnf(c_0_37,negated_conjecture,
( esk6_0 = xx
| ~ aElementOf0(esk5_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_31,c_0_32]),c_0_19]),c_0_14])]),c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( esk6_0 = xx
| aElementOf0(esk5_0,xS) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_34]),c_0_19]),c_0_14])]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx))
| X1 != xx
| ~ aElement0(X1)
| X2 != xx
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,negated_conjecture,
( esk5_0 = xx
| ~ aElementOf0(esk6_0,xS) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_14])]),c_0_19])]),c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( esk5_0 = xx
| esk6_0 = xx ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_19]),c_0_14])]),c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(xx) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])]) ).
cnf(c_0_43,negated_conjecture,
esk5_0 = xx,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_13])]) ).
cnf(c_0_44,negated_conjecture,
aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_19])]) ).
cnf(c_0_45,negated_conjecture,
( esk6_0 = xx
| aElementOf0(esk6_0,sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_43]),c_0_44])]) ).
cnf(c_0_46,negated_conjecture,
~ aElementOf0(esk6_0,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_43]),c_0_44])]) ).
cnf(c_0_47,negated_conjecture,
esk6_0 = xx,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_45]),c_0_19]),c_0_14])]),c_0_46]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM535+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.34 % Computer : n010.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 00:42:51 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.38/1.76 % Version : CSE_E---1.7
% 1.38/1.76 % Problem : theBenchmark.p
% 1.38/1.76 % SZS status Theorem for theBenchmark.p
% 1.38/1.76 % SZS output start CNFRefutation
% See solution above
% 1.38/1.76 % Total time : 1.375s
%------------------------------------------------------------------------------