%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET149-6 : 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 03:31:40 PM UTC 2025
% Result : Unsatisfiable 0.14s 0.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_corollary_to_idempotency_of_intersection_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
intersection(x,intersection(x,y)) != intersection(x,y),
inference(cnf,[status(esa)],[prove_corollary_to_idempotency_of_intersection_1]) ).
cnf(l0,plain,
intersection(x,intersection(x,y)) != intersection(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(intersection(x,intersection(x,y)),intersection(x,y))
| ~ subclass(intersection(x,y),intersection(x,intersection(x,y)))
| intersection(x,intersection(x,y)) = intersection(x,y) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l2,plain,
( ~ member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,y))
| subclass(intersection(x,intersection(x,y)),intersection(x,y)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(21,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection2]) ).
cnf(l3,plain,
( ~ member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,intersection(x,y)))
| member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,y)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l4,plain,
( subclass(intersection(x,intersection(x,y)),intersection(x,y))
| member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,intersection(x,y))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l19,plain,
( subclass(intersection(x,y),intersection(x,intersection(x,y)))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(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(l20,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),x)
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,y))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,intersection(x,y))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(20,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection1]) ).
cnf(l23,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,y))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),x) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l27,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,intersection(x,y)))
| subclass(intersection(x,y),intersection(x,intersection(x,y))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l19,l20,l23,l27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SET149-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.04/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n029.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 20:12:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 7
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 9
% 0.09/0.30 % launching worker at depth: 10
% 0.14/0.33 % launching worker at depth: 11
% 0.14/0.45 % SZS status Theorem for theBenchmark
% 0.14/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------