%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET386-6 : 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 : n024.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 03:32:02 PM UTC 2025
% Result : Unsatisfiable 85.09s 11.09s
% Output : CNFRefutation 85.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_relation_property4_2)
% Comments :
%------------------------------------------------------------------------------
cnf(113,plain,
~ subclass(x,cross_product(universal_class,universal_class)),
inference(cnf,[status(esa)],[prove_relation_property4_2]) ).
cnf(l0,plain,
~ subclass(x,cross_product(universal_class,universal_class)),
inference(instantiation,[status(thm)],[113]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l16,plain,
( subclass(intersection(cross_product(universal_class,universal_class),restrict(x,universal_class,universal_class)),cross_product(universal_class,universal_class))
| member(not_subclass_element(intersection(cross_product(universal_class,universal_class),restrict(x,universal_class,universal_class)),cross_product(universal_class,universal_class)),intersection(cross_product(universal_class,universal_class),restrict(x,universal_class,universal_class))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(20,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection1]) ).
cnf(l30,plain,
( ~ member(not_subclass_element(intersection(cross_product(universal_class,universal_class),restrict(x,universal_class,universal_class)),cross_product(universal_class,universal_class)),intersection(cross_product(universal_class,universal_class),restrict(x,universal_class,universal_class)))
| member(not_subclass_element(intersection(cross_product(universal_class,universal_class),restrict(x,universal_class,universal_class)),cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(112,plain,
restrict(x,universal_class,universal_class) = x,
inference(cnf,[status(esa)],[prove_relation_property4_1]) ).
cnf(l66,plain,
restrict(x,universal_class,universal_class) = x,
inference(instantiation,[status(thm)],[112]) ).
cnf(28,plain,
intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
inference(cnf,[status(esa)],[restriction2]) ).
cnf(l64,plain,
intersection(cross_product(universal_class,universal_class),x) = restrict(x,universal_class,universal_class),
inference(instantiation,[status(thm)],[28]) ).
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(cross_product(universal_class,universal_class),restrict(x,universal_class,universal_class)),cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class))
| subclass(intersection(cross_product(universal_class,universal_class),restrict(x,universal_class,universal_class)),cross_product(universal_class,universal_class)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l67,plain,
restrict(x,universal_class,universal_class) = x,
inference(instantiation,[status(thm)],[112]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l16,l30,l66,l64,l32,l67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET386-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 21:12:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.38 % launching worker at depth: 10
% 3.10/0.76 % launching worker at depth: 11
% 85.09/11.09 % SZS status Theorem for theBenchmark
% 85.09/11.09 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------