%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM586+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 : Fri Jul 25 12:28:35 PM UTC 2025
% Result : Theorem 0.18s 0.57s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 108 ( 24 equ)
% Maximal formula atoms : 47 ( 5 avg)
% Number of connectives : 107 ( 19 ~; 20 |; 43 &)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W1] :
( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(W1)
& aElementOf0(W1,sdtlpdtrp0(xN,xi))
& W1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& sbrdtbr0(W0) = xk )
| aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W1) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [W1] :
( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(W1)
& aElementOf0(W1,sdtlpdtrp0(xN,xi))
& W1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& sbrdtbr0(W0) = xk )
| aElementOf0(W0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0) = xx ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(303,plain,
( sbrdtbr0(X0) != xk
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) != xx
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( sbrdtbr0(sK39) != xk
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK39) != xx
| ~ aSubsetOf0(sK39,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(instantiation,[status(thm)],[303]) ).
fof(m__4151,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,W0))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W1] :
( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W1)
& aElementOf0(W1,sdtlpdtrp0(xN,W0))
& W1 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) )
& ! [W1] :
( ( aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0)))
=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& sbrdtbr0(W1) = xk ) )
& ( ( ( ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) ) )
| aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& sbrdtbr0(W1) = xk )
=> aElementOf0(W1,szDzozmdt0(sdtlpdtrp0(xC,W0))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
& ! [W1] :
( ( aSet0(W1)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W2] :
( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W2)
& aElementOf0(W2,sdtlpdtrp0(xN,W0))
& W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
=> ( ( ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
| aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& sbrdtbr0(W1) = xk )
| aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) )
& ! [W2] :
( aElementOf0(W2,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W2)
& ( aElementOf0(W2,W1)
| W2 = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
cnf(266,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf,[status(esa)],[m__4151]) ).
cnf(l15,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(sK39,szDzozmdt0(sdtlpdtrp0(xC,xi)))
| aSubsetOf0(sK39,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(instantiation,[status(thm)],[266]) ).
fof(m__4200_02,plain,
( ? [W0] :
( aElementOf0(W0,szDzozmdt0(sdtlpdtrp0(xC,xi)))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),W0) = xx )
& aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200_02) ).
cnf(291,plain,
aElementOf0(sK39,szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(cnf,[status(esa)],[m__4200_02]) ).
cnf(l19,plain,
aElementOf0(sK39,szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(instantiation,[status(thm)],[291]) ).
fof(m__4200,plain,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200) ).
cnf(290,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf,[status(esa)],[m__4200]) ).
cnf(l17,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[290]) ).
cnf(292,plain,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK39) = xx,
inference(cnf,[status(esa)],[m__4200_02]) ).
cnf(l2,plain,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK39) = xx,
inference(instantiation,[status(thm)],[292]) ).
cnf(267,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| sbrdtbr0(X1) = xk ),
inference(cnf,[status(esa)],[m__4151]) ).
cnf(l1,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(sK39,szDzozmdt0(sdtlpdtrp0(xC,xi)))
| sbrdtbr0(sK39) = xk ),
inference(instantiation,[status(thm)],[267]) ).
cnf(l6,plain,
aElementOf0(sK39,szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(instantiation,[status(thm)],[291]) ).
cnf(l3,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[290]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l15,l19,l17,l2,l1,l6,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM586+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 : 300
% 0.12/0.33 % DateTime : Mon Jul 21 13:02:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.36 % launching worker at depth: 9
% 0.18/0.57 % SZS status Theorem for theBenchmark
% 0.18/0.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------