%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET257-6 : 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 : n021.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 03:31:52 PM UTC 2025
% Result : Unsatisfiable 16.56s 2.46s
% Output : CNFRefutation 16.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_restriction_property5_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
restrict(cross_product(x,y),x,y) != cross_product(x,y),
inference(cnf,[status(esa)],[prove_restriction_property5_1]) ).
cnf(l0,plain,
restrict(cross_product(x,y),x,y) != cross_product(x,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(restrict(cross_product(x,y),x,y),cross_product(x,y))
| ~ subclass(cross_product(x,y),restrict(cross_product(x,y),x,y))
| restrict(cross_product(x,y),x,y) = cross_product(x,y) ),
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(l2,plain,
( subclass(restrict(cross_product(x,y),x,y),cross_product(x,y))
| member(not_subclass_element(restrict(cross_product(x,y),x,y),cross_product(x,y)),restrict(cross_product(x,y),x,y)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(28,plain,
intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
inference(cnf,[status(esa)],[restriction2]) ).
cnf(l93,plain,
intersection(cross_product(x,y),cross_product(x,y)) = restrict(cross_product(x,y),x,y),
inference(instantiation,[status(thm)],[28]) ).
cnf(l45,plain,
intersection(cross_product(x,y),cross_product(x,y)) = restrict(cross_product(x,y),x,y),
inference(instantiation,[status(thm)],[28]) ).
cnf(21,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection2]) ).
cnf(l128,plain,
( ~ member(not_subclass_element(restrict(cross_product(x,y),x,y),cross_product(x,y)),intersection(cross_product(x,y),cross_product(x,y)))
| member(not_subclass_element(restrict(cross_product(x,y),x,y),cross_product(x,y)),cross_product(x,y)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l129,plain,
( ~ member(not_subclass_element(restrict(cross_product(x,y),x,y),cross_product(x,y)),cross_product(x,y))
| subclass(restrict(cross_product(x,y),x,y),cross_product(x,y)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l78,plain,
( subclass(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y)))
| member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),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(l79,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y))
| ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y))
| member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),intersection(cross_product(x,y),cross_product(x,y))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l82,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),intersection(cross_product(x,y),cross_product(x,y)))
| subclass(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l93,l45,l128,l129,l78,l79,l82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET257-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n021.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 20:36:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 2.93/0.70 % launching worker at depth: 12
% 16.56/2.46 % SZS status Theorem for theBenchmark
% 16.56/2.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------