%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET063+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 03:31:21 PM UTC 2025
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 29 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 6 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 13 ( 1 sgn 7 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_of_null_class_is_subclass,plain,
! [X] :
( subclass(X,null_class)
=> X = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).
fof(corollary_of_null_class_is_subclass_negated,plain,
~ ! [X] :
( subclass(X,null_class)
=> X = null_class ),
inference(negate_conjecture,[status(cth)],[corollary_of_null_class_is_subclass]) ).
cnf(89,plain,
subclass(sK10,null_class),
inference(cnf,[status(esa)],[corollary_of_null_class_is_subclass_negated]) ).
cnf(l0,plain,
subclass(sK10,null_class),
inference(instantiation,[status(thm)],[89]) ).
fof(subclass_defn,plain,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( member(U,X)
=> member(U,Y) ) ),
file('Axioms/SET005+0.ax',subclass_defn) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
cnf(l1,plain,
( ~ subclass(sK10,null_class)
| ~ member(sK8(sK10),sK10)
| member(sK8(sK10),null_class) ),
inference(instantiation,[status(thm)],[0]) ).
fof(null_class_defn,plain,
! [X] : ~ member(X,null_class),
file('Axioms/SET005+0.ax',null_class_defn) ).
cnf(31,plain,
~ member(X0,null_class),
inference(cnf,[status(esa)],[null_class_defn]) ).
cnf(l4,plain,
~ member(sK8(sK10),null_class),
inference(instantiation,[status(thm)],[31]) ).
fof(regularity,plain,
! [X] :
( X != null_class
=> ? [U] :
( member(U,universal_class)
& member(U,X)
& disjoint(U,X) ) ),
file('Axioms/SET005+0.ax',regularity) ).
cnf(84,plain,
( member(sK8(X0),X0)
| X0 = null_class ),
inference(cnf,[status(esa)],[regularity]) ).
cnf(l2,plain,
( member(sK8(sK10),sK10)
| sK10 = null_class ),
inference(instantiation,[status(thm)],[84]) ).
cnf(90,plain,
sK10 != null_class,
inference(cnf,[status(esa)],[corollary_of_null_class_is_subclass_negated]) ).
cnf(l8,plain,
sK10 != null_class,
inference(instantiation,[status(thm)],[90]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET063+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 19:38:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------