%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET061+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 : n023.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 03:31:20 PM UTC 2025
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 7 ( 1 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(existence_of_null_class,plain,
? [X] :
! [Z] : ~ member(Z,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(existence_of_null_class_negated,plain,
~ ? [X] :
! [Z] : ~ member(Z,X),
inference(negate_conjecture,[status(cth)],[existence_of_null_class]) ).
cnf(89,plain,
member(sK10(X0),X0),
inference(cnf,[status(esa)],[existence_of_null_class_negated]) ).
cnf(l0,plain,
member(sK10(null_class),null_class),
inference(instantiation,[status(thm)],[89]) ).
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(l1,plain,
~ member(sK10(null_class),null_class),
inference(instantiation,[status(thm)],[31]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET061+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 19:37:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 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: 2
% 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 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------