%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM537+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 : n004.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 04:57:44 PM UTC 2026
% Result : Theorem 1.35s 1.75s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 10 unt; 0 def)
% Number of atoms : 964 ( 167 equ)
% Maximal formula atoms : 676 ( 19 avg)
% Number of connectives : 1422 ( 507 ~; 673 |; 214 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 176 ( 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 : 75 ( 0 sgn 40 !; 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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',mDefDiff) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(m__679,hypothesis,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__679) ).
fof(m__679_02,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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,
! [X70,X71,X72,X73,X74,X75] :
( ( aSet0(X72)
| X72 != sdtmndt0(X70,X71)
| ~ aSet0(X70)
| ~ aElement0(X71) )
& ( aElement0(X73)
| ~ aElementOf0(X73,X72)
| X72 != sdtmndt0(X70,X71)
| ~ aSet0(X70)
| ~ aElement0(X71) )
& ( aElementOf0(X73,X70)
| ~ aElementOf0(X73,X72)
| X72 != sdtmndt0(X70,X71)
| ~ aSet0(X70)
| ~ aElement0(X71) )
& ( X73 != X71
| ~ aElementOf0(X73,X72)
| X72 != sdtmndt0(X70,X71)
| ~ aSet0(X70)
| ~ aElement0(X71) )
& ( ~ aElement0(X74)
| ~ aElementOf0(X74,X70)
| X74 = X71
| aElementOf0(X74,X72)
| X72 != sdtmndt0(X70,X71)
| ~ aSet0(X70)
| ~ aElement0(X71) )
& ( ~ aElementOf0(esk4_3(X70,X71,X75),X75)
| ~ aElement0(esk4_3(X70,X71,X75))
| ~ aElementOf0(esk4_3(X70,X71,X75),X70)
| esk4_3(X70,X71,X75) = X71
| ~ aSet0(X75)
| X75 = sdtmndt0(X70,X71)
| ~ aSet0(X70)
| ~ aElement0(X71) )
& ( aElement0(esk4_3(X70,X71,X75))
| aElementOf0(esk4_3(X70,X71,X75),X75)
| ~ aSet0(X75)
| X75 = sdtmndt0(X70,X71)
| ~ aSet0(X70)
| ~ aElement0(X71) )
& ( aElementOf0(esk4_3(X70,X71,X75),X70)
| aElementOf0(esk4_3(X70,X71,X75),X75)
| ~ aSet0(X75)
| X75 = sdtmndt0(X70,X71)
| ~ aSet0(X70)
| ~ aElement0(X71) )
& ( esk4_3(X70,X71,X75) != X71
| aElementOf0(esk4_3(X70,X71,X75),X75)
| ~ aSet0(X75)
| X75 = sdtmndt0(X70,X71)
| ~ aSet0(X70)
| ~ aElement0(X71) ) ),
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])])])])])]) ).
fof(c_0_8,negated_conjecture,
! [X79,X80,X82,X83] :
( ( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,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(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElement0(X79)
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElementOf0(X79,xS)
| X79 = xx
| ~ aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aElementOf0(X79,xS)
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| X79 != xx
| ~ aElement0(X79)
| aElementOf0(X79,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,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(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElement0(X80)
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElementOf0(X80,sdtpldt0(xS,xx))
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| X80 != xx
| ~ aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk6_0,xS)
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aElement0(X80)
| ~ aElementOf0(X80,sdtpldt0(xS,xx))
| X80 = xx
| aElementOf0(X80,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aElement0(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,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(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,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(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,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(X82)
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X82,xS)
| X82 = xx
| ~ aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X82,xS)
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X82 != xx
| ~ aElement0(X82)
| aElementOf0(X82,sdtpldt0(xS,xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X83)
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X83,sdtpldt0(xS,xx))
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( X83 != xx
| ~ aElementOf0(X83,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X83)
| ~ aElementOf0(X83,sdtpldt0(xS,xx))
| X83 = xx
| aElementOf0(X83,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
cnf(c_0_9,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X42,X43] :
( ~ aSet0(X42)
| ~ aElementOf0(X43,X42)
| aElement0(X43) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_12,negated_conjecture,
( X1 = xx
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk6_0,xS)
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X63,X64,X65,X66,X67,X68] :
( ( aSet0(X65)
| X65 != sdtpldt0(X63,X64)
| ~ aSet0(X63)
| ~ aElement0(X64) )
& ( aElement0(X66)
| ~ aElementOf0(X66,X65)
| X65 != sdtpldt0(X63,X64)
| ~ aSet0(X63)
| ~ aElement0(X64) )
& ( aElementOf0(X66,X63)
| X66 = X64
| ~ aElementOf0(X66,X65)
| X65 != sdtpldt0(X63,X64)
| ~ aSet0(X63)
| ~ aElement0(X64) )
& ( ~ aElementOf0(X67,X63)
| ~ aElement0(X67)
| aElementOf0(X67,X65)
| X65 != sdtpldt0(X63,X64)
| ~ aSet0(X63)
| ~ aElement0(X64) )
& ( X67 != X64
| ~ aElement0(X67)
| aElementOf0(X67,X65)
| X65 != sdtpldt0(X63,X64)
| ~ aSet0(X63)
| ~ aElement0(X64) )
& ( ~ aElementOf0(esk3_3(X63,X64,X68),X63)
| ~ aElement0(esk3_3(X63,X64,X68))
| ~ aElementOf0(esk3_3(X63,X64,X68),X68)
| ~ aSet0(X68)
| X68 = sdtpldt0(X63,X64)
| ~ aSet0(X63)
| ~ aElement0(X64) )
& ( esk3_3(X63,X64,X68) != X64
| ~ aElement0(esk3_3(X63,X64,X68))
| ~ aElementOf0(esk3_3(X63,X64,X68),X68)
| ~ aSet0(X68)
| X68 = sdtpldt0(X63,X64)
| ~ aSet0(X63)
| ~ aElement0(X64) )
& ( aElement0(esk3_3(X63,X64,X68))
| aElementOf0(esk3_3(X63,X64,X68),X68)
| ~ aSet0(X68)
| X68 = sdtpldt0(X63,X64)
| ~ aSet0(X63)
| ~ aElement0(X64) )
& ( aElementOf0(esk3_3(X63,X64,X68),X63)
| esk3_3(X63,X64,X68) = X64
| aElementOf0(esk3_3(X63,X64,X68),X68)
| ~ aSet0(X68)
| X68 = sdtpldt0(X63,X64)
| ~ aSet0(X63)
| ~ aElement0(X64) ) ),
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])])])])])]) ).
cnf(c_0_15,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_16,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_17,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__679]) ).
cnf(c_0_18,negated_conjecture,
aSet0(sdtpldt0(xS,xx)),
inference(cn,[status(thm)],[c_0_10]) ).
cnf(c_0_19,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_7]) ).
cnf(c_0_20,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
( ~ aElementOf0(esk6_0,xS)
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
( X1 = xx
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(esk6_0,xS) ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_23,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,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_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_26,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_19,c_0_20])]) ).
cnf(c_0_27,negated_conjecture,
( esk5_0 = xx
| ~ aElementOf0(esk5_0,sdtpldt0(xS,xx))
| ~ aElementOf0(esk6_0,xS) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_23,c_0_20])]) ).
cnf(c_0_29,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__679]) ).
cnf(c_0_30,negated_conjecture,
( aElementOf0(esk5_0,xS)
| ~ aElementOf0(esk6_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,negated_conjecture,
( aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk5_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( esk5_0 = xx
| aElementOf0(esk6_0,sdtpldt0(xS,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_25,c_0_26]),c_0_17]),c_0_18])]) ).
cnf(c_0_34,negated_conjecture,
( esk5_0 = xx
| ~ aElementOf0(esk6_0,xS) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_17]),c_0_29])]),c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( aElementOf0(esk6_0,sdtpldt0(xS,xx))
| aElementOf0(esk5_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_31]),c_0_17]),c_0_18])]) ).
cnf(c_0_36,negated_conjecture,
( esk5_0 = xx
| esk6_0 = xx
| ~ aElementOf0(esk5_0,sdtpldt0(xS,xx)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_17]),c_0_29])]),c_0_34]) ).
cnf(c_0_37,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_32,c_0_35]),c_0_17]),c_0_29])]),c_0_30]) ).
cnf(c_0_38,negated_conjecture,
( X1 != xx
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| X2 != xx
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,negated_conjecture,
( esk6_0 = xx
| esk5_0 = xx ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_28]),c_0_17]),c_0_29])]),c_0_37]) ).
cnf(c_0_40,negated_conjecture,
~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_38])]) ).
cnf(c_0_41,negated_conjecture,
( esk5_0 = xx
| ~ aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_39]),c_0_40]) ).
cnf(c_0_42,negated_conjecture,
( esk5_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_41,c_0_26]),c_0_17]),c_0_18])]) ).
cnf(c_0_43,negated_conjecture,
( esk5_0 = xx
| aElementOf0(esk5_0,xS) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_39]),c_0_40]) ).
fof(c_0_44,hypothesis,
~ aElementOf0(xx,xS),
inference(fof_simplification,[status(thm)],[m__679_02]) ).
cnf(c_0_45,negated_conjecture,
esk5_0 = xx,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_17]),c_0_29])]),c_0_43]) ).
cnf(c_0_46,hypothesis,
~ aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_47,negated_conjecture,
esk6_0 = xx,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_45]),c_0_46]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_45]),c_0_46]),c_0_47]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM537+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
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:44:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.35/1.75 % Version : CSE_E---1.7
% 1.35/1.75 % Problem : theBenchmark.p
% 1.35/1.75 % SZS status Theorem for theBenchmark.p
% 1.35/1.75 % SZS output start CNFRefutation
% See solution above
% 1.35/1.75 % Total time : 1.373s
%------------------------------------------------------------------------------