%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LAT388+4 : 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 : n023.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 10:34:44 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 39 ( 1 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 34 ( 3 ~; 5 |; 17 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( ( aElementOf0(W0,xS)
& ( ( aElementOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) ) )
| aUpperBoundOfIn0(W0,xT,xS) )
& ! [W1] :
( ( aElementOf0(W1,xS)
& ! [W2] :
( aElementOf0(W2,xT)
=> sdtlseqdt0(W2,W1) )
& aUpperBoundOfIn0(W1,xT,xS) )
=> sdtlseqdt0(W0,W1) ) )
| aSupremumOfIn0(W0,xT,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( ( aElementOf0(W0,xS)
& ( ( aElementOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) ) )
| aUpperBoundOfIn0(W0,xT,xS) )
& ! [W1] :
( ( aElementOf0(W1,xS)
& ! [W2] :
( aElementOf0(W2,xT)
=> sdtlseqdt0(W2,W1) )
& aUpperBoundOfIn0(W1,xT,xS) )
=> sdtlseqdt0(W0,W1) ) )
| aSupremumOfIn0(W0,xT,xS) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(119,plain,
~ aSupremumOfIn0(X0,xT,xS),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aSupremumOfIn0(xp,xT,xS),
inference(instantiation,[status(thm)],[119]) ).
fof(m__1330,plain,
( aElementOf0(xp,szDzozmdt0(xf))
& sdtlpdtrp0(xf,xp) = xp
& aFixedPointOf0(xp,xf)
& ! [W0] :
( aElementOf0(W0,xT)
=> sdtlseqdt0(W0,xp) )
& aUpperBoundOfIn0(xp,xT,xS)
& ! [W0] :
( ( ( aElementOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) ) )
| aUpperBoundOfIn0(W0,xT,xS) )
=> sdtlseqdt0(xp,W0) )
& aSupremumOfIn0(xp,xT,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1330) ).
cnf(115,plain,
aSupremumOfIn0(xp,xT,xS),
inference(cnf,[status(esa)],[m__1330]) ).
cnf(l2,plain,
aSupremumOfIn0(xp,xT,xS),
inference(instantiation,[status(thm)],[115]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT388+4 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Jul 21 01:48:04 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 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: 4
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------