%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET065+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 : n024.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 03:31:22 PM UTC 2025
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 6 |; 3 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn 6 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(null_class_is_a_set,plain,
member(null_class,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_a_set) ).
fof(null_class_is_a_set_negated,plain,
~ member(null_class,universal_class),
inference(negate_conjecture,[status(cth)],[null_class_is_a_set]) ).
cnf(89,plain,
~ member(null_class,universal_class),
inference(cnf,[status(esa)],[null_class_is_a_set_negated]) ).
cnf(l0,plain,
~ member(null_class,universal_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(sK2,universal_class)
| ~ member(null_class,sK2)
| member(null_class,universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
fof(class_elements_are_sets,plain,
! [X] : subclass(X,universal_class),
file('Axioms/SET005+0.ax',class_elements_are_sets) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l2,plain,
subclass(sK2,universal_class),
inference(instantiation,[status(thm)],[3]) ).
fof(inductive_defn,plain,
! [X] :
( inductive(X)
<=> ( member(null_class,X)
& subclass(image(successor_relation,X),X) ) ),
file('Axioms/SET005+0.ax',inductive_defn) ).
cnf(55,plain,
( ~ inductive(X0)
| member(null_class,X0) ),
inference(cnf,[status(esa)],[inductive_defn]) ).
cnf(l6,plain,
( ~ inductive(sK2)
| member(null_class,sK2) ),
inference(instantiation,[status(thm)],[55]) ).
fof(infinity,plain,
? [X] :
( member(X,universal_class)
& inductive(X)
& ! [Y] :
( inductive(Y)
=> subclass(X,Y) ) ),
file('Axioms/SET005+0.ax',infinity) ).
cnf(59,plain,
inductive(sK2),
inference(cnf,[status(esa)],[infinity]) ).
cnf(l7,plain,
inductive(sK2),
inference(instantiation,[status(thm)],[59]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET065+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 19:38:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------