%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET232-6 : 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 : n029.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 1.77s 0.58s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cross_product_property7_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
~ subclass(cross_product(x,y),z),
inference(cnf,[status(esa)],[prove_cross_product_property7_1]) ).
cnf(l0,plain,
~ subclass(cross_product(x,y),z),
inference(instantiation,[status(thm)],[112]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l1,plain,
( subclass(cross_product(x,y),z)
| member(not_subclass_element(cross_product(x,y),z),cross_product(x,y)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(16,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(cnf,[status(esa)],[cartesian_product4]) ).
cnf(l10,plain,
( ~ member(not_subclass_element(cross_product(x,y),z),cross_product(x,y))
| ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) = not_subclass_element(cross_product(x,y),z) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(13,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
inference(cnf,[status(esa)],[cartesian_product1]) ).
cnf(l18,plain,
( ~ member(ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))),cross_product(x,y))
| member(first(not_subclass_element(cross_product(x,y),z)),x) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(113,plain,
~ member(first(not_subclass_element(cross_product(x,y),z)),x),
inference(cnf,[status(esa)],[prove_cross_product_property7_2]) ).
cnf(l20,plain,
~ member(first(not_subclass_element(cross_product(x,y),z)),x),
inference(instantiation,[status(thm)],[113]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l18,l20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET232-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.04/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 20:31:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 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: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.18/0.42 % launching worker at depth: 11
% 1.77/0.58 % SZS status Theorem for theBenchmark
% 1.77/0.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------