%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET155-6 : 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 : n027.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 03:31:41 PM UTC 2025
% Result : Unsatisfiable 80.14s 10.39s
% Output : CNFRefutation 80.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_demorgans_law1_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
complement(union(x,y)) != intersection(complement(x),complement(y)),
inference(cnf,[status(esa)],[prove_demorgans_law1_1]) ).
cnf(l0,plain,
complement(union(x,y)) != intersection(complement(x),complement(y)),
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(complement(union(x,y)),intersection(complement(x),complement(y)))
| ~ subclass(intersection(complement(x),complement(y)),complement(union(x,y)))
| complement(union(x,y)) = intersection(complement(x),complement(y)) ),
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(l32,plain,
( ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),complement(union(x,y)))
| subclass(intersection(complement(x),complement(y)),complement(union(x,y))) ),
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(l2,plain,
( subclass(complement(union(x,y)),intersection(complement(x),complement(y)))
| member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),complement(union(x,y))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(22,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection3]) ).
cnf(l37,plain,
( ~ member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),complement(union(x,y)))
| ~ member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(x),complement(y)))
| member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(union(x,y)),intersection(complement(x),complement(y)))) ),
inference(instantiation,[status(thm)],[22]) ).
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(l56,plain,
( ~ member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(union(x,y)),intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(x),complement(y)))
| member(ordered_pair(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y)))),cross_product(intersection(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(x),complement(y)))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l33,plain,
( ~ subclass(complement(complement(intersection(complement(x),complement(y)))),complement(union(x,y)))
| ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),complement(complement(intersection(complement(x),complement(y)))))
| member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),complement(union(x,y))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(14,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
inference(cnf,[status(esa)],[cartesian_product2]) ).
cnf(l59,plain,
( ~ member(ordered_pair(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y)))),cross_product(intersection(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(x),complement(y))))
| member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(x),complement(y))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(24,plain,
( ~ member(X0,universal_class)
| member(X0,X1)
| member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement2]) ).
cnf(l53,plain,
( ~ member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),universal_class)
| member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(x),complement(y)))
| member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(y)))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l55,plain,
( ~ subclass(complement(union(x,y)),universal_class)
| ~ member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),complement(union(x,y)))
| member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l77,plain,
subclass(complement(union(x,y)),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(l58,plain,
complement(intersection(complement(x),complement(y))) = union(x,y),
inference(instantiation,[status(thm)],[25]) ).
cnf(l261,plain,
( subclass(complement(complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(x),complement(y)))))
| member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(x),complement(y))))),complement(complement(intersection(complement(x),complement(y))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l262,plain,
( ~ member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(x),complement(y))))),complement(complement(intersection(complement(x),complement(y)))))
| subclass(complement(complement(intersection(complement(x),complement(y)))),complement(complement(intersection(complement(x),complement(y))))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(21,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection2]) ).
cnf(l69,plain,
( ~ member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(union(x,y)),intersection(complement(x),complement(y))))
| member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(x),complement(y))) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l197,plain,
complement(intersection(complement(x),complement(y))) = union(x,y),
inference(instantiation,[status(thm)],[25]) ).
cnf(23,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement1]) ).
cnf(l220,plain,
( ~ member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),union(x,y))
| ~ member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),complement(union(x,y))) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l60,plain,
( ~ member(not_subclass_element(complement(union(x,y)),intersection(complement(x),complement(y))),intersection(complement(x),complement(y)))
| subclass(complement(union(x,y)),intersection(complement(x),complement(y))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l35,plain,
( ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),universal_class)
| member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),complement(intersection(complement(x),complement(y))))
| member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),complement(complement(intersection(complement(x),complement(y))))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l43,plain,
( ~ subclass(intersection(complement(x),complement(y)),universal_class)
| ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),intersection(complement(x),complement(y)))
| member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l48,plain,
subclass(intersection(complement(x),complement(y)),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(l78,plain,
( ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),intersection(complement(x),complement(y)))
| ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),complement(intersection(complement(x),complement(y)))) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l82,plain,
( subclass(intersection(complement(x),complement(y)),complement(union(x,y)))
| member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),intersection(complement(x),complement(y))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l44,plain,
( subclass(intersection(complement(x),complement(y)),complement(union(x,y)))
| member(not_subclass_element(intersection(complement(x),complement(y)),complement(union(x,y))),intersection(complement(x),complement(y))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l32,l2,l37,l56,l33,l59,l53,l55,l77,l58,l261,l262,l69,l197,l220,l60,l35,l43,l48,l78,l82,l44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET155-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n027.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 20:12:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.34 % launching worker at depth: 10
% 0.19/0.37 % launching worker at depth: 11
% 2.35/0.63 % launching worker at depth: 12
% 71.75/9.39 % launching worker at depth: 13
% 80.14/10.39 % SZS status Theorem for theBenchmark
% 80.14/10.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------