%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM537+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:20:18 PM UTC 2026
% Result : Theorem 5.39s 1.30s
% Output : Proof 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 4
% Syntax : Number of formulae : 81 ( 10 unt; 0 def)
% Number of atoms : 352 ( 92 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 390 ( 119 ~; 176 |; 73 &)
% ( 8 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f2_nnf,plain,
! [W0] :
( ! [W1] :
( aElement0(W1)
| ~ aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [W0,W1] :
( aElement0(W1)
| ~ aElementOf0(W1,W0)
| ~ aSet0(W0) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f17,hypothesis,
( aSet0(xS)
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679) ).
fof(f17_nnf,plain,
( aSet0(xS)
& aElement0(xx) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( aSet0(xS)
& aElement0(xx) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c48,plain,
aSet0(xS),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p304,plain,
( aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(resolution,[status(thm)],[c2,c48]) ).
fof(f19,conjecture,
( ( ( ! [W0] :
( aElementOf0(W0,sdtpldt0(xS,xx))
<=> ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(W0,xS) ) ) ) )
& ( ( ! [W0] :
( aElementOf0(W0,sdtpldt0(xS,xx))
<=> ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f19_neg,negated_conjecture,
~ ( ( ( ! [W0] :
( aElementOf0(W0,sdtpldt0(xS,xx))
<=> ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(W0,xS) ) ) ) )
& ( ( ! [W0] :
( aElementOf0(W0,sdtpldt0(xS,xx))
<=> ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f19_nnf,plain,
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ? [W0] :
( ~ aElementOf0(W0,xS)
& aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ! [W0] :
( ( W0 = xx
| ~ aElementOf0(W0,sdtpldt0(xS,xx))
| ~ aElement0(W0)
| aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) )
| ~ aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [W0] :
( ( ( W0 != xx
& ~ aElementOf0(W0,xS) )
| ~ aElement0(W0)
| aElementOf0(W0,sdtpldt0(xS,xx)) )
& ( ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) )
| ~ aElementOf0(W0,sdtpldt0(xS,xx)) ) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [W0] :
( ~ aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(W0,xS) )
& ! [W0] :
( ( W0 = xx
| ~ aElementOf0(W0,sdtpldt0(xS,xx))
| ~ aElement0(W0)
| aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) )
| ~ aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [W0] :
( ( ( W0 != xx
& ~ aElementOf0(W0,xS) )
| ~ aElement0(W0)
| aElementOf0(W0,sdtpldt0(xS,xx)) )
& ( ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) )
| ~ aElementOf0(W0,sdtpldt0(xS,xx)) ) )
& aSet0(sdtpldt0(xS,xx)) ) ),
inference(nnf_transformation,[status(thm)],[f19_neg]) ).
fof(f19_sk,plain,
! [W0] :
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ~ aElementOf0(sk5,xS)
& aElementOf0(sk5,sdtmndt0(sdtpldt0(xS,xx),xx))
& ( W0 = xx
| ~ aElementOf0(W0,sdtpldt0(xS,xx))
| ~ aElement0(W0)
| aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) )
| ~ aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ( ( W0 != xx
& ~ aElementOf0(W0,xS) )
| ~ aElement0(W0)
| aElementOf0(W0,sdtpldt0(xS,xx)) )
& ( ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) )
| ~ aElementOf0(W0,sdtpldt0(xS,xx)) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(sk4,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(sk4,xS)
& ( W0 = xx
| ~ aElementOf0(W0,sdtpldt0(xS,xx))
| ~ aElement0(W0)
| aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) )
| ~ aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ( ( W0 != xx
& ~ aElementOf0(W0,xS) )
| ~ aElement0(W0)
| aElementOf0(W0,sdtpldt0(xS,xx)) )
& ( ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) )
| ~ aElementOf0(W0,sdtpldt0(xS,xx)) )
& aSet0(sdtpldt0(xS,xx)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5])],[f19_nnf]) ).
cnf(c187,plain,
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sk4,xS) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(c190,plain,
( aElementOf0(sk5,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sk4,xS) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p234,plain,
( aElementOf0(sk4,xS)
| aElementOf0(sk5,sdtpldt0(xS,xx))
| aElementOf0(sk4,xS) ),
inference(resolution,[status(thm)],[c187,c190]) ).
cnf(p235,plain,
( aElementOf0(sk5,sdtpldt0(xS,xx))
| aElementOf0(sk4,xS) ),
inference(factoring,[status(thm)],[p234]) ).
cnf(c182,plain,
( X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| aElementOf0(sk4,xS) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p236,plain,
( sk5 = xx
| aElementOf0(sk5,xS)
| aElementOf0(sk4,xS)
| aElementOf0(sk4,xS) ),
inference(resolution,[status(thm)],[p235,c182]) ).
cnf(p242,plain,
( sk5 = xx
| aElementOf0(sk5,xS)
| aElementOf0(sk4,xS) ),
inference(factoring,[status(thm)],[p236]) ).
cnf(c191,plain,
( ~ aElementOf0(sk5,xS)
| aElementOf0(sk4,xS) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p243,plain,
( aElementOf0(sk4,xS)
| sk5 = xx
| aElementOf0(sk4,xS) ),
inference(resolution,[status(thm)],[p242,c191]) ).
cnf(p244,plain,
( sk5 = xx
| aElementOf0(sk4,xS) ),
inference(factoring,[status(thm)],[p243]) ).
cnf(p306,plain,
( sk5 = xx
| aElement0(sk4) ),
inference(resolution,[status(thm)],[p304,p244]) ).
cnf(c188,plain,
( X0 != xx
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sk4,xS) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p225,plain,
( aElementOf0(sk4,xS)
| sk5 != xx
| aElementOf0(sk4,xS) ),
inference(resolution,[status(thm)],[c188,c190]) ).
cnf(p226,plain,
( sk5 != xx
| aElementOf0(sk4,xS) ),
inference(factoring,[status(thm)],[p225]) ).
cnf(p310,plain,
( aElementOf0(sk4,xS)
| aElement0(sk4) ),
inference(resolution,[status(thm)],[p306,p226]) ).
cnf(p311,plain,
( aElement0(sk4)
| aElement0(sk4) ),
inference(resolution,[status(thm)],[p310,p304]) ).
cnf(p312,plain,
aElement0(sk4),
inference(factoring,[status(thm)],[p311]) ).
cnf(c176,plain,
( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p281,plain,
( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(factoring,[status(thm)],[c176]) ).
cnf(p286,plain,
( X0 = xx
| ~ aElement0(X0)
| X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(factoring,[status(thm)],[p281]) ).
cnf(p289,plain,
( ~ aElement0(X0)
| X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(factoring,[status(thm)],[p286]) ).
cnf(p290,plain,
( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(factoring,[status(thm)],[p289]) ).
cnf(p315,plain,
( sk4 = xx
| ~ aElementOf0(sk4,sdtpldt0(xS,xx))
| aElementOf0(sk4,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[p312,p290]) ).
cnf(c92,plain,
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p258,plain,
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(factoring,[status(thm)],[c92]) ).
cnf(p262,plain,
( ~ aElement0(X0)
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(factoring,[status(thm)],[p258]) ).
cnf(p263,plain,
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(factoring,[status(thm)],[p262]) ).
cnf(p313,plain,
( ~ aElementOf0(sk4,xS)
| aElementOf0(sk4,sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[p312,p263]) ).
cnf(p317,plain,
( sk5 = xx
| aElementOf0(sk4,sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[p313,p244]) ).
cnf(p319,plain,
( sk5 = xx
| sk4 = xx
| aElementOf0(sk4,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[p315,p317]) ).
cnf(c203,plain,
( aElementOf0(sk5,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sk4,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p334,plain,
( aElementOf0(sk5,sdtmndt0(sdtpldt0(xS,xx),xx))
| sk5 = xx
| sk4 = xx ),
inference(resolution,[status(thm)],[p319,c203]) ).
cnf(c148,plain,
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p277,plain,
( aElementOf0(X0,sdtpldt0(xS,xx))
| aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(factoring,[status(thm)],[c148]) ).
cnf(p279,plain,
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(factoring,[status(thm)],[p277]) ).
cnf(p336,plain,
( aElementOf0(sk5,sdtpldt0(xS,xx))
| sk5 = xx
| sk4 = xx ),
inference(resolution,[status(thm)],[p334,p279]) ).
cnf(c78,plain,
( X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p271,plain,
( X0 = xx
| aElementOf0(X0,xS)
| X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(factoring,[status(thm)],[c78]) ).
cnf(p274,plain,
( X0 = xx
| X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(factoring,[status(thm)],[p271]) ).
cnf(p276,plain,
( X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(factoring,[status(thm)],[p274]) ).
cnf(p337,plain,
( sk5 = xx
| aElementOf0(sk5,xS)
| sk5 = xx
| sk4 = xx ),
inference(resolution,[status(thm)],[p336,p276]) ).
cnf(p338,plain,
( aElementOf0(sk5,xS)
| sk5 = xx
| sk4 = xx ),
inference(factoring,[status(thm)],[p337]) ).
cnf(c204,plain,
( ~ aElementOf0(sk5,xS)
| ~ aElementOf0(sk4,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p333,plain,
( ~ aElementOf0(sk5,xS)
| sk5 = xx
| sk4 = xx ),
inference(resolution,[status(thm)],[p319,c204]) ).
cnf(p339,plain,
( sk5 = xx
| sk4 = xx
| sk5 = xx
| sk4 = xx ),
inference(resolution,[status(thm)],[p338,p333]) ).
cnf(p340,plain,
( sk5 = xx
| sk5 = xx
| sk4 = xx ),
inference(factoring,[status(thm)],[p339]) ).
cnf(p342,plain,
( sk5 = xx
| sk4 = xx ),
inference(factoring,[status(thm)],[p340]) ).
cnf(p344,plain,
( aElementOf0(sk4,xS)
| sk4 = xx ),
inference(resolution,[status(thm)],[p342,p226]) ).
cnf(p346,plain,
( aElementOf0(sk4,sdtpldt0(xS,xx))
| sk4 = xx ),
inference(resolution,[status(thm)],[p344,p313]) ).
cnf(p347,plain,
( sk4 = xx
| aElementOf0(sk4,sdtmndt0(sdtpldt0(xS,xx),xx))
| sk4 = xx ),
inference(resolution,[status(thm)],[p346,p315]) ).
cnf(p348,plain,
( aElementOf0(sk4,sdtmndt0(sdtpldt0(xS,xx),xx))
| sk4 = xx ),
inference(factoring,[status(thm)],[p347]) ).
cnf(p350,plain,
( aElementOf0(sk5,sdtmndt0(sdtpldt0(xS,xx),xx))
| sk4 = xx ),
inference(resolution,[status(thm)],[p348,c203]) ).
cnf(c162,plain,
( X0 != xx
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| X0 != xx
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p254,plain,
( X0 != xx
| X0 != xx
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(factoring,[status(thm)],[c162]) ).
cnf(p256,plain,
( X0 != xx
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(factoring,[status(thm)],[p254]) ).
cnf(p352,plain,
( sk5 != xx
| sk4 = xx ),
inference(resolution,[status(thm)],[p350,p256]) ).
cnf(p354,plain,
( sk4 = xx
| sk4 = xx ),
inference(resolution,[status(thm)],[p352,p342]) ).
cnf(p355,plain,
sk4 = xx,
inference(factoring,[status(thm)],[p354]) ).
cnf(p361,plain,
( sk5 = xx
| aElementOf0(xx,xS) ),
inference(demodulation,[status(thm)],[p355,p244]) ).
fof(f18,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679_02) ).
fof(f18_nnf,plain,
~ aElementOf0(xx,xS),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
~ aElementOf0(xx,xS),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c49,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p362,plain,
sk5 = xx,
inference(resolution,[status(thm)],[p361,c49]) ).
cnf(p359,plain,
( sk5 != xx
| aElementOf0(xx,xS) ),
inference(demodulation,[status(thm)],[p355,p226]) ).
cnf(p365,plain,
( xx != xx
| aElementOf0(xx,xS) ),
inference(demodulation,[status(thm)],[p362,p359]) ).
cnf(p366,plain,
aElementOf0(xx,xS),
inference(equality_resolution,[status(thm)],[p365]) ).
cnf(p367,plain,
$false,
inference(resolution,[status(thm)],[p366,c49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM537+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 04:25:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.39/1.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.39/1.30 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------