%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET245-6 : 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 : 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 03:31:51 PM UTC 2025
% Result : Unsatisfiable 19.02s 2.78s
% Output : CNFRefutation 19.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_restriction_with_null_class1_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
restrict(null_class,x,y) != null_class,
inference(cnf,[status(esa)],[prove_restriction_with_null_class1_1]) ).
cnf(l0,plain,
restrict(null_class,x,y) != null_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(restrict(null_class,x,y),null_class)
| ~ subclass(null_class,restrict(null_class,x,y))
| restrict(null_class,x,y) = null_class ),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l78,plain,
( subclass(null_class,restrict(null_class,x,y))
| member(not_subclass_element(null_class,restrict(null_class,x,y)),null_class) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l79,plain,
( ~ subclass(null_class,intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))))
| ~ member(not_subclass_element(null_class,restrict(null_class,x,y)),null_class)
| member(not_subclass_element(null_class,restrict(null_class,x,y)),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(66,plain,
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
inference(cnf,[status(esa)],[regularity2]) ).
cnf(l31,plain,
( restrict(null_class,x,y) = null_class
| intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))) = null_class ),
inference(instantiation,[status(thm)],[66]) ).
cnf(5,plain,
( X0 != X1
| subclass(X1,X0) ),
inference(cnf,[status(esa)],[equal_implies_subclass2]) ).
cnf(l84,plain,
( intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))) != null_class
| subclass(null_class,intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l30,plain,
( subclass(intersection(cross_product(x,y),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))))
| member(not_subclass_element(intersection(cross_product(x,y),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))),intersection(cross_product(x,y),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l85,plain,
( restrict(null_class,x,y) = null_class
| intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))) = null_class ),
inference(instantiation,[status(thm)],[66]) ).
cnf(20,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection1]) ).
cnf(l107,plain,
( ~ member(not_subclass_element(null_class,restrict(null_class,x,y)),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))))
| member(not_subclass_element(null_class,restrict(null_class,x,y)),restrict(null_class,x,y)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l108,plain,
( ~ member(not_subclass_element(null_class,restrict(null_class,x,y)),restrict(null_class,x,y))
| subclass(null_class,restrict(null_class,x,y)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(21,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection2]) ).
cnf(l37,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))),intersection(cross_product(x,y),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))))
| member(not_subclass_element(intersection(cross_product(x,y),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l39,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))))
| subclass(intersection(cross_product(x,y),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(28,plain,
intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
inference(cnf,[status(esa)],[restriction2]) ).
cnf(l4,plain,
intersection(cross_product(x,y),intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y)))) = restrict(intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))),x,y),
inference(instantiation,[status(thm)],[28]) ).
cnf(l7,plain,
( restrict(null_class,x,y) = null_class
| intersection(restrict(null_class,x,y),regular(restrict(null_class,x,y))) = null_class ),
inference(instantiation,[status(thm)],[66]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l78,l79,l31,l84,l30,l85,l107,l108,l37,l39,l4,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET245-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 20:34:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.48 % launching worker at depth: 11
% 14.24/2.15 % launching worker at depth: 12
% 19.02/2.78 % SZS status Theorem for theBenchmark
% 19.02/2.78 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------