%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM560+2 : 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 : n026.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 12:28:30 PM UTC 2025
% Result : Theorem 0.09s 0.30s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 23 ( 2 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 19 ( 5 ~; 4 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(W0,szDzozmdt0(xF))
& sdtlpdtrp0(xF,W0) = xy ) ) )
=> ( ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
=> aElementOf0(W0,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(W0,szDzozmdt0(xF))
& sdtlpdtrp0(xF,W0) = xy ) ) )
=> ( ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
=> aElementOf0(W0,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(130,plain,
( ~ aElementOf0(X0,sdtlbdtrb0(xF,xy))
| aElementOf0(X0,szDzozmdt0(xF)) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElementOf0(sK14,sdtlbdtrb0(xF,xy))
| aElementOf0(sK14,szDzozmdt0(xF)) ),
inference(instantiation,[status(thm)],[130]) ).
cnf(133,plain,
aElementOf0(sK14,sdtlbdtrb0(xF,xy)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l1,plain,
aElementOf0(sK14,sdtlbdtrb0(xF,xy)),
inference(instantiation,[status(thm)],[133]) ).
cnf(134,plain,
~ aElementOf0(sK14,szDzozmdt0(xF)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l2,plain,
~ aElementOf0(sK14,szDzozmdt0(xF)),
inference(instantiation,[status(thm)],[134]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUM560+2 : TPTP v9.0.0. Released v4.0.0.
% 0.02/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 12:51:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.30 % SZS status Theorem for theBenchmark
% 0.09/0.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------