%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET244-6 : 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 : n019.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 03:31:51 PM UTC 2025
% Result : Unsatisfiable 38.59s 5.18s
% Output : CNFRefutation 38.59s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_restriction_with_universal_class_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
restrict(universal_class,x,y) != cross_product(x,y),
inference(cnf,[status(esa)],[prove_restriction_with_universal_class_1]) ).
cnf(l0,plain,
restrict(universal_class,x,y) != cross_product(x,y),
inference(instantiation,[status(thm)],[112]) ).
cnf(27,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
inference(cnf,[status(esa)],[restriction1]) ).
cnf(l38,plain,
intersection(universal_class,cross_product(x,y)) = restrict(universal_class,x,y),
inference(instantiation,[status(thm)],[27]) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[subclass_implies_equal]) ).
cnf(l3,plain,
( ~ subclass(cross_product(x,y),intersection(universal_class,cross_product(x,y)))
| ~ subclass(intersection(universal_class,cross_product(x,y)),cross_product(x,y))
| cross_product(x,y) = intersection(universal_class,cross_product(x,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(l5,plain,
( ~ member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),cross_product(x,y))
| subclass(intersection(universal_class,cross_product(x,y)),cross_product(x,y)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l4,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),intersection(universal_class,cross_product(x,y)))
| subclass(cross_product(x,y),intersection(universal_class,cross_product(x,y))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(21,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection2]) ).
cnf(l7,plain,
( ~ member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),intersection(universal_class,cross_product(x,y)))
| member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),cross_product(x,y)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l11,plain,
( subclass(intersection(universal_class,cross_product(x,y)),cross_product(x,y))
| member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),intersection(universal_class,cross_product(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(l6,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),universal_class)
| ~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),cross_product(x,y))
| member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),intersection(universal_class,cross_product(x,y))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l12,plain,
( subclass(cross_product(x,y),intersection(universal_class,cross_product(x,y)))
| member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),cross_product(x,y)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l9,plain,
( ~ subclass(cross_product(x,y),universal_class)
| ~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),cross_product(x,y))
| member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l17,plain,
subclass(cross_product(x,y),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(l26,plain,
( subclass(cross_product(x,y),intersection(universal_class,cross_product(x,y)))
| member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),cross_product(x,y)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l38,l3,l5,l4,l7,l11,l6,l12,l9,l17,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : SET244-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.09/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n019.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Jul 21 20:33:49 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % launching worker at depth: 2
% 0.09/0.31 % launching worker at depth: 6
% 0.09/0.31 % launching worker at depth: 3
% 0.09/0.31 % launching worker at depth: 4
% 0.09/0.31 % launching worker at depth: 5
% 0.09/0.31 % launching worker at depth: 8
% 0.09/0.31 % launching worker at depth: 1
% 0.09/0.31 % launching worker at depth: 7
% 0.09/0.31 % launching worker at depth: 9
% 0.15/0.33 % launching worker at depth: 10
% 0.15/0.35 % launching worker at depth: 11
% 3.14/0.71 % launching worker at depth: 12
% 38.59/5.18 % SZS status Theorem for theBenchmark
% 38.59/5.18 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------