%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET236-6 : 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 : n031.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 03:31:50 PM UTC 2025
% Result : Unsatisfiable 234.71s 29.85s
% Output : CNFRefutation 234.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cross_product_property11_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
subclass(x,cross_product(universal_class,universal_class)),
inference(cnf,[status(esa)],[prove_cross_product_property11_1]) ).
cnf(l0,plain,
subclass(x,cross_product(universal_class,universal_class)),
inference(instantiation,[status(thm)],[112]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l1,plain,
( ~ subclass(x,cross_product(universal_class,universal_class))
| ~ member(not_subclass_element(x,y),x)
| member(not_subclass_element(x,y),cross_product(universal_class,universal_class)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(22,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection3]) ).
cnf(l3,plain,
( ~ member(not_subclass_element(x,y),y)
| ~ member(not_subclass_element(x,y),cross_product(universal_class,universal_class))
| member(not_subclass_element(x,y),intersection(y,cross_product(universal_class,universal_class))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l41,plain,
( subclass(x,y)
| member(not_subclass_element(x,y),x) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(114,plain,
~ subclass(x,y),
inference(cnf,[status(esa)],[prove_cross_product_property11_3]) ).
cnf(l115,plain,
~ subclass(x,y),
inference(instantiation,[status(thm)],[114]) ).
cnf(16,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(cnf,[status(esa)],[cartesian_product4]) ).
cnf(l54,plain,
( ~ member(not_subclass_element(x,y),cross_product(universal_class,universal_class))
| ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))) = not_subclass_element(x,y) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(20,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection1]) ).
cnf(l45,plain,
( ~ member(not_subclass_element(x,y),intersection(y,cross_product(universal_class,universal_class)))
| member(not_subclass_element(x,y),y) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(113,plain,
member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
inference(cnf,[status(esa)],[prove_cross_product_property11_2]) ).
cnf(l64,plain,
member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
inference(instantiation,[status(thm)],[113]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l51,plain,
( ~ member(not_subclass_element(x,y),y)
| subclass(x,y) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l60,plain,
~ subclass(x,y),
inference(instantiation,[status(thm)],[114]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l41,l115,l54,l45,l64,l51,l60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET236-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.08/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.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 20:32:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 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: 7
% 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: 6
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.50 % launching worker at depth: 11
% 90.76/11.77 % launching worker at depth: 12
% 234.71/29.85 % SZS status Theorem for theBenchmark
% 234.71/29.85 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------