%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV065+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 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 04:46:01 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 35 ( 11 ~; 8 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0006,plain,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0006) ).
fof(cl5_nebula_array_0006_negated,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0006]) ).
cnf(115,plain,
leq(n0,pv10),
inference(cnf,[status(esa)],[cl5_nebula_array_0006_negated]) ).
cnf(l0,plain,
leq(n0,pv10),
inference(instantiation,[status(thm)],[115]) ).
cnf(119,plain,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,n0)
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
inference(cnf,[status(esa)],[cl5_nebula_array_0006_negated]) ).
cnf(l1,plain,
( ~ leq(pv53,minus(n5,n1))
| ~ leq(n0,pv53)
| ~ leq(n0,n0)
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
inference(instantiation,[status(thm)],[119]) ).
cnf(118,plain,
leq(pv53,minus(n5,n1)),
inference(cnf,[status(esa)],[cl5_nebula_array_0006_negated]) ).
cnf(l2,plain,
leq(pv53,minus(n5,n1)),
inference(instantiation,[status(thm)],[118]) ).
fof(reflexivity_leq,plain,
! [X] : leq(X,X),
file('Axioms/SWV003+0.ax',reflexivity_leq) ).
cnf(3,plain,
leq(X0,X0),
inference(cnf,[status(esa)],[reflexivity_leq]) ).
cnf(l4,plain,
leq(n0,n0),
inference(instantiation,[status(thm)],[3]) ).
cnf(117,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf,[status(esa)],[cl5_nebula_array_0006_negated]) ).
cnf(l5,plain,
leq(pv10,minus(n135300,n1)),
inference(instantiation,[status(thm)],[117]) ).
cnf(116,plain,
leq(n0,pv53),
inference(cnf,[status(esa)],[cl5_nebula_array_0006_negated]) ).
cnf(l3,plain,
leq(n0,pv53),
inference(instantiation,[status(thm)],[116]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l5,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV065+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.04/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 08:08:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------