%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET192-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 03:31:46 PM UTC 2025
% Result : Unsatisfiable 49.83s 6.50s
% Output : CNFRefutation 49.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_subclass_property9_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
subclass(x,y),
inference(cnf,[status(esa)],[prove_subclass_property9_1]) ).
cnf(l0,plain,
subclass(x,y),
inference(instantiation,[status(thm)],[112]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l1,plain,
( ~ subclass(x,y)
| ~ member(not_subclass_element(complement(y),complement(x)),x)
| member(not_subclass_element(complement(y),complement(x)),y) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(15,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
inference(cnf,[status(esa)],[cartesian_product3]) ).
cnf(l3,plain,
( ~ member(not_subclass_element(complement(y),complement(x)),y)
| ~ member(not_subclass_element(complement(y),complement(x)),y)
| member(ordered_pair(not_subclass_element(complement(y),complement(x)),not_subclass_element(complement(y),complement(x))),cross_product(y,y)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l214,plain,
( ~ member(ordered_pair(not_subclass_element(complement(y),complement(x)),not_subclass_element(complement(y),complement(x))),cross_product(y,y))
| ~ member(not_subclass_element(complement(y),complement(x)),complement(y))
| member(ordered_pair(ordered_pair(not_subclass_element(complement(y),complement(x)),not_subclass_element(complement(y),complement(x))),not_subclass_element(complement(y),complement(x))),cross_product(cross_product(y,y),complement(y))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(14,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
inference(cnf,[status(esa)],[cartesian_product2]) ).
cnf(l225,plain,
( ~ member(ordered_pair(ordered_pair(not_subclass_element(complement(y),complement(x)),not_subclass_element(complement(y),complement(x))),not_subclass_element(complement(y),complement(x))),cross_product(cross_product(y,y),complement(y)))
| member(not_subclass_element(complement(y),complement(x)),complement(y)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(23,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement1]) ).
cnf(l226,plain,
( ~ member(not_subclass_element(complement(y),complement(x)),y)
| ~ member(not_subclass_element(complement(y),complement(x)),complement(y)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(24,plain,
( ~ member(X0,universal_class)
| member(X0,X1)
| member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement2]) ).
cnf(l100,plain,
( ~ member(not_subclass_element(complement(y),complement(x)),universal_class)
| member(not_subclass_element(complement(y),complement(x)),x)
| member(not_subclass_element(complement(y),complement(x)),complement(x)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l216,plain,
( subclass(complement(y),complement(x))
| member(not_subclass_element(complement(y),complement(x)),complement(y)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(113,plain,
~ subclass(complement(y),complement(x)),
inference(cnf,[status(esa)],[prove_subclass_property9_2]) ).
cnf(l222,plain,
~ subclass(complement(y),complement(x)),
inference(instantiation,[status(thm)],[113]) ).
cnf(l104,plain,
( ~ subclass(complement(y),universal_class)
| ~ member(not_subclass_element(complement(y),complement(x)),complement(y))
| member(not_subclass_element(complement(y),complement(x)),universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l107,plain,
( subclass(complement(y),complement(x))
| member(not_subclass_element(complement(y),complement(x)),complement(y)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l162,plain,
~ subclass(complement(y),complement(x)),
inference(instantiation,[status(thm)],[113]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l219,plain,
( ~ member(not_subclass_element(complement(y),complement(x)),complement(x))
| subclass(complement(y),complement(x)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l105,plain,
subclass(complement(y),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(l232,plain,
~ subclass(complement(y),complement(x)),
inference(instantiation,[status(thm)],[113]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l214,l225,l226,l100,l216,l222,l104,l107,l162,l219,l105,l232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET192-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n031.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Jul 21 20:22:33 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.27 % launching worker at depth: 10
% 0.11/0.33 % launching worker at depth: 11
% 8.38/1.37 % launching worker at depth: 12
% 49.83/6.50 % SZS status Theorem for theBenchmark
% 49.83/6.50 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------