%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET050-6 : 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 : n028.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 03:31:17 PM UTC 2025
% Result : Unsatisfiable 5.05s 1.03s
% Output : CNFRefutation 5.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_corollary_1_to_unordered_pair_1)
% Comments :
%------------------------------------------------------------------------------
cnf(91,plain,
member(ordered_pair(x,y),cross_product(u,v)),
inference(cnf,[status(esa)],[prove_corollary_1_to_unordered_pair_1]) ).
cnf(l0,plain,
member(ordered_pair(x,y),cross_product(u,v)),
inference(instantiation,[status(thm)],[91]) ).
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(l1,plain,
( ~ member(ordered_pair(x,y),cross_product(u,v))
| ~ member(ordered_pair(x,y),cross_product(u,v))
| member(ordered_pair(ordered_pair(x,y),ordered_pair(x,y)),cross_product(cross_product(u,v),cross_product(u,v))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(22,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection3]) ).
cnf(l2,plain,
( ~ member(ordered_pair(ordered_pair(x,y),ordered_pair(x,y)),cross_product(cross_product(u,v),cross_product(u,v)))
| ~ member(ordered_pair(ordered_pair(x,y),ordered_pair(x,y)),cross_product(cross_product(u,v),cross_product(u,v)))
| member(ordered_pair(ordered_pair(x,y),ordered_pair(x,y)),intersection(cross_product(cross_product(u,v),cross_product(u,v)),cross_product(cross_product(u,v),cross_product(u,v)))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l3,plain,
( ~ member(ordered_pair(ordered_pair(x,y),ordered_pair(x,y)),intersection(cross_product(cross_product(u,v),cross_product(u,v)),cross_product(cross_product(u,v),cross_product(u,v))))
| ~ member(x,universal_class)
| member(ordered_pair(ordered_pair(ordered_pair(x,y),ordered_pair(x,y)),x),cross_product(intersection(cross_product(cross_product(u,v),cross_product(u,v)),cross_product(cross_product(u,v),cross_product(u,v))),universal_class)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l4,plain,
( ~ member(x,unordered_pair(x,y))
| ~ member(ordered_pair(ordered_pair(ordered_pair(x,y),ordered_pair(x,y)),x),cross_product(intersection(cross_product(cross_product(u,v),cross_product(u,v)),cross_product(cross_product(u,v),cross_product(u,v))),universal_class))
| member(ordered_pair(x,ordered_pair(ordered_pair(ordered_pair(x,y),ordered_pair(x,y)),x)),cross_product(unordered_pair(x,y),cross_product(intersection(cross_product(cross_product(u,v),cross_product(u,v)),cross_product(cross_product(u,v),cross_product(u,v))),universal_class))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(13,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
inference(cnf,[status(esa)],[cartesian_product1]) ).
cnf(l9,plain,
( ~ member(ordered_pair(x,ordered_pair(ordered_pair(ordered_pair(x,y),ordered_pair(x,y)),x)),cross_product(unordered_pair(x,y),cross_product(intersection(cross_product(cross_product(u,v),cross_product(u,v)),cross_product(cross_product(u,v),cross_product(u,v))),universal_class)))
| member(x,unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(92,plain,
~ member(x,unordered_pair(x,y)),
inference(cnf,[status(esa)],[prove_corollary_1_to_unordered_pair_2]) ).
cnf(l11,plain,
~ member(x,unordered_pair(x,y)),
inference(instantiation,[status(thm)],[92]) ).
cnf(8,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf,[status(esa)],[unordered_pair2]) ).
cnf(l14,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(14,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
inference(cnf,[status(esa)],[cartesian_product2]) ).
cnf(l16,plain,
( ~ member(ordered_pair(ordered_pair(ordered_pair(x,y),ordered_pair(x,y)),x),cross_product(intersection(cross_product(cross_product(u,v),cross_product(u,v)),cross_product(cross_product(u,v),cross_product(u,v))),universal_class))
| member(x,universal_class) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l26,plain,
( ~ subclass(intersection(u,u),universal_class)
| ~ member(x,intersection(u,u))
| member(x,universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l27,plain,
subclass(intersection(u,u),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(l31,plain,
( ~ member(x,u)
| ~ member(x,u)
| member(x,intersection(u,u)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l32,plain,
( ~ member(ordered_pair(x,y),cross_product(u,v))
| member(x,u) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l33,plain,
( ~ member(ordered_pair(x,y),cross_product(u,v))
| member(x,u) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l9,l11,l14,l16,l26,l27,l31,l32,l33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET050-6 : 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 : n028.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 19:35:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.20/0.37 % launching worker at depth: 10
% 1.77/0.56 % launching worker at depth: 11
% 5.05/1.03 % SZS status Theorem for theBenchmark
% 5.05/1.03 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------