%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET064-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 03:31:22 PM UTC 2025
% Result : Unsatisfiable 28.91s 3.97s
% Output : CNFRefutation 28.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_null_class_is_unique_1)
% Comments :
%------------------------------------------------------------------------------
cnf(91,plain,
z != null_class,
inference(cnf,[status(esa)],[prove_null_class_is_unique_1]) ).
cnf(l0,plain,
z != null_class,
inference(instantiation,[status(thm)],[91]) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[subclass_implies_equal]) ).
cnf(l1,plain,
( ~ subclass(z,null_class)
| ~ subclass(null_class,z)
| z = null_class ),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l2,plain,
( subclass(z,null_class)
| member(not_subclass_element(z,null_class),z) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l95,plain,
( subclass(complement(universal_class),z)
| member(not_subclass_element(complement(universal_class),z),complement(universal_class)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(65,plain,
( member(regular(X0),X0)
| X0 = null_class ),
inference(cnf,[status(esa)],[regularity1]) ).
cnf(l59,plain,
( member(regular(complement(universal_class)),complement(universal_class))
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[65]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l71,plain,
( ~ subclass(complement(universal_class),universal_class)
| ~ member(regular(complement(universal_class)),complement(universal_class))
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(92,plain,
~ member(not_subclass_element(z,null_class),z),
inference(cnf,[status(esa)],[prove_null_class_is_unique_2]) ).
cnf(l33,plain,
~ member(not_subclass_element(z,null_class),z),
inference(instantiation,[status(thm)],[92]) ).
cnf(23,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement1]) ).
cnf(l80,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| ~ member(regular(complement(universal_class)),complement(universal_class)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l97,plain,
( ~ subclass(complement(universal_class),universal_class)
| ~ member(not_subclass_element(complement(universal_class),z),complement(universal_class))
| member(not_subclass_element(complement(universal_class),z),universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l122,plain,
( ~ member(not_subclass_element(complement(universal_class),z),universal_class)
| ~ member(not_subclass_element(complement(universal_class),z),complement(universal_class)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l99,plain,
subclass(complement(universal_class),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(l72,plain,
subclass(complement(universal_class),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l95,l59,l71,l33,l80,l97,l122,l99,l72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET064-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 19:38:34 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.20/0.35 % launching worker at depth: 10
% 0.20/0.49 % launching worker at depth: 11
% 9.70/1.59 % launching worker at depth: 12
% 28.91/3.97 % SZS status Theorem for theBenchmark
% 28.91/3.97 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------