%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM539+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n022.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 12:28:26 PM UTC 2025
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 24 unt; 0 def)
% Number of atoms : 85 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 83 ( 36 ~; 29 |; 10 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
szmzizndt0(xS) = szmzizndt0(xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
szmzizndt0(xS) != szmzizndt0(xT),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(86,plain,
szmzizndt0(xS) != szmzizndt0(xT),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
szmzizndt0(xS) != szmzizndt0(xT),
inference(instantiation,[status(thm)],[86]) ).
fof(mLessASymm,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
cnf(58,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[mLessASymm]) ).
cnf(l1,plain,
( ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| szmzizndt0(xS) = szmzizndt0(xT) ),
inference(instantiation,[status(thm)],[58]) ).
fof(mDefMin,plain,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& W0 != slcrc0 )
=> ! [W1] :
( W1 = szmzizndt0(W0)
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W1,W2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
cnf(73,plain,
( X0 != szmzizndt0(X1)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X1 = slcrc0
| sdtlseqdt0(X0,X2) ),
inference(cnf,[status(esa)],[mDefMin]) ).
cnf(l11,plain,
( szmzizndt0(xS) != szmzizndt0(xS)
| ~ aElementOf0(szmzizndt0(xT),xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| xS = slcrc0
| sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)) ),
inference(instantiation,[status(thm)],[73]) ).
fof(m__1779,plain,
( aSubsetOf0(xS,szNzAzT0)
& aSubsetOf0(xT,szNzAzT0)
& xS != slcrc0
& xT != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1779) ).
cnf(80,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf,[status(esa)],[m__1779]) ).
cnf(l36,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[80]) ).
fof(m__1802,plain,
( aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1802) ).
cnf(85,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(cnf,[status(esa)],[m__1802]) ).
cnf(l16,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(instantiation,[status(thm)],[85]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
cnf(8,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X0)
| aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l2,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),xT)
| ~ aSubsetOf0(xT,szNzAzT0)
| aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l21,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
fof(mNATSet,plain,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
cnf(43,plain,
aSet0(szNzAzT0),
inference(cnf,[status(esa)],[mNATSet]) ).
cnf(l20,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
cnf(84,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(cnf,[status(esa)],[m__1802]) ).
cnf(l13,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(instantiation,[status(thm)],[84]) ).
cnf(l24,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[80]) ).
cnf(l25,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(instantiation,[status(thm)],[85]) ).
cnf(81,plain,
aSubsetOf0(xT,szNzAzT0),
inference(cnf,[status(esa)],[m__1779]) ).
cnf(l34,plain,
aSubsetOf0(xT,szNzAzT0),
inference(instantiation,[status(thm)],[81]) ).
cnf(l23,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
cnf(l5,plain,
( szmzizndt0(xT) != szmzizndt0(xT)
| ~ aElementOf0(szmzizndt0(xS),xT)
| ~ aSubsetOf0(xT,szNzAzT0)
| xT = slcrc0
| sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)) ),
inference(instantiation,[status(thm)],[73]) ).
cnf(l12,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(instantiation,[status(thm)],[84]) ).
cnf(l15,plain,
aSubsetOf0(xT,szNzAzT0),
inference(instantiation,[status(thm)],[81]) ).
cnf(83,plain,
xT != slcrc0,
inference(cnf,[status(esa)],[m__1779]) ).
cnf(l28,plain,
xT != slcrc0,
inference(instantiation,[status(thm)],[83]) ).
cnf(82,plain,
xS != slcrc0,
inference(cnf,[status(esa)],[m__1779]) ).
cnf(l37,plain,
xS != slcrc0,
inference(instantiation,[status(thm)],[82]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l11,l36,l16,l2,l21,l20,l13,l24,l25,l34,l23,l5,l12,l15,l28,l37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM539+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 12:45:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 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: 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
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.41 % SZS status Theorem for theBenchmark
% 0.19/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------