%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET151-6 : 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 : n025.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 03:31:40 PM UTC 2025
% Result : Unsatisfiable 202.81s 25.78s
% Output : CNFRefutation 202.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_complement_of_null_class_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
complement(null_class) != universal_class,
inference(cnf,[status(esa)],[prove_complement_of_null_class_1]) ).
cnf(l0,plain,
complement(null_class) != universal_class,
inference(instantiation,[status(thm)],[112]) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[subclass_implies_equal]) ).
cnf(l3,plain,
( ~ subclass(universal_class,complement(complement(universal_class)))
| ~ subclass(complement(complement(universal_class)),universal_class)
| universal_class = complement(complement(universal_class)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l5,plain,
subclass(complement(complement(universal_class)),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l4,plain,
( subclass(universal_class,complement(complement(universal_class)))
| member(not_subclass_element(universal_class,complement(complement(universal_class))),universal_class) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(24,plain,
( ~ member(X0,universal_class)
| member(X0,X1)
| member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement2]) ).
cnf(l8,plain,
( ~ member(not_subclass_element(universal_class,complement(complement(universal_class))),universal_class)
| member(not_subclass_element(universal_class,complement(complement(universal_class))),complement(universal_class))
| member(not_subclass_element(universal_class,complement(complement(universal_class))),complement(complement(universal_class))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(23,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement1]) ).
cnf(l17,plain,
( ~ member(not_subclass_element(universal_class,complement(complement(universal_class))),universal_class)
| ~ member(not_subclass_element(universal_class,complement(complement(universal_class))),complement(universal_class)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l25,plain,
( ~ member(not_subclass_element(universal_class,complement(complement(universal_class))),complement(complement(universal_class)))
| subclass(universal_class,complement(complement(universal_class))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(65,plain,
( member(regular(X0),X0)
| X0 = null_class ),
inference(cnf,[status(esa)],[regularity1]) ).
cnf(l148,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(l150,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(l152,plain,
subclass(complement(universal_class),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(l242,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| ~ member(regular(complement(universal_class)),complement(universal_class)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l5,l4,l8,l17,l25,l148,l150,l152,l242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : SET151-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.01/0.08 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n025.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Jul 21 20:12:19 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % launching worker at depth: 2
% 0.07/0.26 % launching worker at depth: 5
% 0.07/0.26 % launching worker at depth: 4
% 0.07/0.26 % launching worker at depth: 1
% 0.07/0.26 % launching worker at depth: 3
% 0.07/0.26 % launching worker at depth: 6
% 0.07/0.26 % launching worker at depth: 7
% 0.07/0.26 % launching worker at depth: 8
% 0.07/0.26 % launching worker at depth: 9
% 0.07/0.27 % launching worker at depth: 10
% 0.07/0.28 % launching worker at depth: 11
% 0.11/0.46 % launching worker at depth: 12
% 30.26/4.14 % launching worker at depth: 13
% 202.81/25.78 % SZS status Theorem for theBenchmark
% 202.81/25.78 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------