%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET163-6 : 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 : n031.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 03:31:42 PM UTC 2025
% Result : Unsatisfiable 39.09s 5.25s
% Output : CNFRefutation 39.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_union_with_universal_class_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
union(universal_class,x) != universal_class,
inference(cnf,[status(esa)],[prove_union_with_universal_class_1]) ).
cnf(l0,plain,
union(universal_class,x) != 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(l1,plain,
( ~ subclass(union(universal_class,x),universal_class)
| ~ subclass(universal_class,union(universal_class,x))
| union(universal_class,x) = universal_class ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l2,plain,
( ~ member(not_subclass_element(union(universal_class,x),universal_class),universal_class)
| subclass(union(universal_class,x),universal_class) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l80,plain,
( subclass(universal_class,union(universal_class,x))
| member(not_subclass_element(universal_class,union(universal_class,x)),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(l90,plain,
( ~ member(not_subclass_element(universal_class,union(universal_class,x)),universal_class)
| member(not_subclass_element(universal_class,union(universal_class,x)),intersection(complement(universal_class),complement(x)))
| member(not_subclass_element(universal_class,union(universal_class,x)),complement(intersection(complement(universal_class),complement(x)))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l3,plain,
( ~ subclass(intersection(union(universal_class,x),union(universal_class,x)),universal_class)
| ~ member(not_subclass_element(union(universal_class,x),universal_class),intersection(union(universal_class,x),union(universal_class,x)))
| member(not_subclass_element(union(universal_class,x),universal_class),universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(22,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection3]) ).
cnf(l5,plain,
( ~ member(not_subclass_element(union(universal_class,x),universal_class),union(universal_class,x))
| ~ member(not_subclass_element(union(universal_class,x),universal_class),union(universal_class,x))
| member(not_subclass_element(union(universal_class,x),universal_class),intersection(union(universal_class,x),union(universal_class,x))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l4,plain,
subclass(intersection(union(universal_class,x),union(universal_class,x)),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(25,plain,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf,[status(esa)],[union]) ).
cnf(l97,plain,
complement(intersection(complement(universal_class),complement(x))) = union(universal_class,x),
inference(instantiation,[status(thm)],[25]) ).
cnf(l7,plain,
( subclass(union(universal_class,x),universal_class)
| member(not_subclass_element(union(universal_class,x),universal_class),union(universal_class,x)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l98,plain,
( ~ member(not_subclass_element(universal_class,union(universal_class,x)),union(universal_class,x))
| subclass(universal_class,union(universal_class,x)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l10,plain,
( subclass(union(universal_class,x),universal_class)
| member(not_subclass_element(union(universal_class,x),universal_class),union(universal_class,x)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(20,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection1]) ).
cnf(l91,plain,
( ~ member(not_subclass_element(universal_class,union(universal_class,x)),intersection(complement(universal_class),complement(x)))
| member(not_subclass_element(universal_class,union(universal_class,x)),complement(universal_class)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(23,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement1]) ).
cnf(l96,plain,
( ~ member(not_subclass_element(universal_class,union(universal_class,x)),universal_class)
| ~ member(not_subclass_element(universal_class,union(universal_class,x)),complement(universal_class)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l80,l90,l3,l5,l4,l97,l7,l98,l10,l91,l96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET163-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.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 20:14:49 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: 6
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 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
% 0.13/0.34 % launching worker at depth: 10
% 0.19/0.38 % launching worker at depth: 11
% 2.37/0.63 % launching worker at depth: 12
% 39.09/5.25 % SZS status Theorem for theBenchmark
% 39.09/5.25 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------