%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV080+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 04:46:03 PM UTC 2025
% Result : Theorem 0.14s 0.30s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 2 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0021,plain,
( ( leq(n0,pv56)
& leq(pv56,minus(n5,n1)) )
=> ( leq(n0,pv56)
& leq(pv56,minus(n5,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0021) ).
fof(cl5_nebula_array_0021_negated,plain,
~ ( ( leq(n0,pv56)
& leq(pv56,minus(n5,n1)) )
=> ( leq(n0,pv56)
& leq(pv56,minus(n5,n1)) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0021]) ).
cnf(115,plain,
leq(n0,pv56),
inference(cnf,[status(esa)],[cl5_nebula_array_0021_negated]) ).
cnf(l0,plain,
leq(n0,pv56),
inference(instantiation,[status(thm)],[115]) ).
cnf(117,plain,
( ~ leq(n0,pv56)
| ~ leq(pv56,minus(n5,n1)) ),
inference(cnf,[status(esa)],[cl5_nebula_array_0021_negated]) ).
cnf(l1,plain,
( ~ leq(n0,pv56)
| ~ leq(pv56,minus(n5,n1)) ),
inference(instantiation,[status(thm)],[117]) ).
cnf(116,plain,
leq(pv56,minus(n5,n1)),
inference(cnf,[status(esa)],[cl5_nebula_array_0021_negated]) ).
cnf(l2,plain,
leq(pv56,minus(n5,n1)),
inference(instantiation,[status(thm)],[116]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWV080+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n018.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % 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 : Tue Jul 22 08:10:34 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.14/0.29 % launching worker at depth: 1
% 0.14/0.29 % launching worker at depth: 4
% 0.14/0.29 % launching worker at depth: 3
% 0.14/0.29 % launching worker at depth: 2
% 0.14/0.29 % launching worker at depth: 5
% 0.14/0.29 % launching worker at depth: 6
% 0.14/0.29 % launching worker at depth: 8
% 0.14/0.29 % launching worker at depth: 7
% 0.14/0.30 % SZS status Theorem for theBenchmark
% 0.14/0.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------