%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM557+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 : n019.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 12:28:29 PM UTC 2025
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 23 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 18 ( 5 ~; 6 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( ( ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xS) )
| aSubsetOf0(xP,xS) )
& sbrdtbr0(xP) = xk )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( ( ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xS) )
| aSubsetOf0(xP,xS) )
& sbrdtbr0(xP) = xk )
| aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(178,plain,
( sbrdtbr0(xP) != xk
| ~ aSubsetOf0(xP,xS) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( sbrdtbr0(xP) != xk
| ~ aSubsetOf0(xP,xS) ),
inference(instantiation,[status(thm)],[178]) ).
fof(m__2431,plain,
( ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xS) )
& aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2431) ).
cnf(174,plain,
aSubsetOf0(xP,xS),
inference(cnf,[status(esa)],[m__2431]) ).
cnf(l2,plain,
aSubsetOf0(xP,xS),
inference(instantiation,[status(thm)],[174]) ).
cnf(175,plain,
sbrdtbr0(xP) = xk,
inference(cnf,[status(esa)],[m__2431]) ).
cnf(l1,plain,
sbrdtbr0(xP) = xk,
inference(instantiation,[status(thm)],[175]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM557+3 : TPTP v9.0.0. Released v4.0.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Jul 21 12:50:34 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % launching worker at depth: 1
% 0.11/0.34 % launching worker at depth: 4
% 0.11/0.34 % launching worker at depth: 3
% 0.11/0.34 % launching worker at depth: 8
% 0.11/0.34 % launching worker at depth: 5
% 0.11/0.34 % launching worker at depth: 6
% 0.11/0.34 % launching worker at depth: 7
% 0.11/0.34 % launching worker at depth: 2
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------