%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LAT381+3 : 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 : n028.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 : Thu Jul 24 10:34:43 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 22 unt; 0 def)
% Number of atoms : 96 ( 7 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 87 ( 27 ~; 26 |; 19 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
xu = xv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
xu != xv,
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(48,plain,
xu != xv,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
xu != xv,
inference(instantiation,[status(thm)],[48]) ).
fof(mASymm,plain,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mASymm) ).
cnf(8,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[mASymm]) ).
cnf(l1,plain,
( ~ aElement0(xu)
| ~ aElement0(xv)
| ~ sdtlseqdt0(xu,xv)
| ~ sdtlseqdt0(xv,xu)
| xu = xv ),
inference(instantiation,[status(thm)],[8]) ).
fof(mEOfElem,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
cnf(0,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
cnf(l3,plain,
( ~ aSet0(xT)
| ~ aElementOf0(xv,xT)
| aElement0(xv) ),
inference(instantiation,[status(thm)],[0]) ).
fof(m__725,plain,
aSet0(xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__725) ).
cnf(28,plain,
aSet0(xT),
inference(cnf,[status(esa)],[m__725]) ).
cnf(l5,plain,
aSet0(xT),
inference(instantiation,[status(thm)],[28]) ).
cnf(l2,plain,
( ~ aSet0(xT)
| ~ aElementOf0(xu,xT)
| aElement0(xu) ),
inference(instantiation,[status(thm)],[0]) ).
fof(m__744,plain,
( aElementOf0(xu,xT)
& aElementOf0(xu,xT)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,xu) )
& aUpperBoundOfIn0(xu,xS,xT)
& ! [W0] :
( ( ( aElementOf0(W0,xT)
& ! [W1] :
( aElementOf0(W1,xS)
=> sdtlseqdt0(W1,W0) ) )
| aUpperBoundOfIn0(W0,xS,xT) )
=> sdtlseqdt0(xu,W0) )
& aSupremumOfIn0(xu,xS,xT)
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,xv) )
& aUpperBoundOfIn0(xv,xS,xT)
& ! [W0] :
( ( ( aElementOf0(W0,xT)
& ! [W1] :
( aElementOf0(W1,xS)
=> sdtlseqdt0(W1,W0) ) )
| aUpperBoundOfIn0(W0,xS,xT) )
=> sdtlseqdt0(xv,W0) )
& aSupremumOfIn0(xv,xS,xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__744) ).
cnf(46,plain,
( ~ aUpperBoundOfIn0(X0,xS,xT)
| sdtlseqdt0(xv,X0) ),
inference(cnf,[status(esa)],[m__744]) ).
cnf(l13,plain,
( ~ aUpperBoundOfIn0(xu,xS,xT)
| sdtlseqdt0(xv,xu) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(l4,plain,
aSet0(xT),
inference(instantiation,[status(thm)],[28]) ).
cnf(41,plain,
aElementOf0(xv,xT),
inference(cnf,[status(esa)],[m__744]) ).
cnf(l6,plain,
aElementOf0(xv,xT),
inference(instantiation,[status(thm)],[41]) ).
cnf(35,plain,
aUpperBoundOfIn0(xu,xS,xT),
inference(cnf,[status(esa)],[m__744]) ).
cnf(l16,plain,
aUpperBoundOfIn0(xu,xS,xT),
inference(instantiation,[status(thm)],[35]) ).
fof(mDefSup,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aSupremumOfIn0(W2,W1,W0)
<=> ( aElementOf0(W2,W0)
& aUpperBoundOfIn0(W2,W1,W0)
& ! [W3] :
( aUpperBoundOfIn0(W3,W1,W0)
=> sdtlseqdt0(W2,W3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSup) ).
cnf(25,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSupremumOfIn0(X2,X1,X0)
| ~ aUpperBoundOfIn0(X3,X1,X0)
| sdtlseqdt0(X2,X3) ),
inference(cnf,[status(esa)],[mDefSup]) ).
cnf(l11,plain,
( ~ aSet0(xT)
| ~ aSubsetOf0(xS,xT)
| ~ aSupremumOfIn0(xu,xS,xT)
| ~ aUpperBoundOfIn0(xv,xS,xT)
| sdtlseqdt0(xu,xv) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(39,plain,
aSupremumOfIn0(xu,xS,xT),
inference(cnf,[status(esa)],[m__744]) ).
cnf(l20,plain,
aSupremumOfIn0(xu,xS,xT),
inference(instantiation,[status(thm)],[39]) ).
cnf(l12,plain,
aSet0(xT),
inference(instantiation,[status(thm)],[28]) ).
cnf(43,plain,
aUpperBoundOfIn0(xv,xS,xT),
inference(cnf,[status(esa)],[m__744]) ).
cnf(l19,plain,
aUpperBoundOfIn0(xv,xS,xT),
inference(instantiation,[status(thm)],[43]) ).
fof(m__725_01,plain,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,xT) )
& aSubsetOf0(xS,xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__725_01) ).
cnf(31,plain,
aSubsetOf0(xS,xT),
inference(cnf,[status(esa)],[m__725_01]) ).
cnf(l18,plain,
aSubsetOf0(xS,xT),
inference(instantiation,[status(thm)],[31]) ).
cnf(32,plain,
aElementOf0(xu,xT),
inference(cnf,[status(esa)],[m__744]) ).
cnf(l9,plain,
aElementOf0(xu,xT),
inference(instantiation,[status(thm)],[32]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l2,l13,l4,l6,l16,l11,l20,l12,l19,l18,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT381+3 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 01:45:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------