%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET184-6 : 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 : n025.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 03:31:45 PM UTC 2025
% Result : Unsatisfiable 110.00s 14.14s
% Output : CNFRefutation 110.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_subclass_property2_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
intersection(x,y) = x,
inference(cnf,[status(esa)],[prove_subclass_property2_1]) ).
cnf(l0,plain,
intersection(x,y) = x,
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(l30,plain,
( subclass(intersection(x,y),y)
| member(not_subclass_element(intersection(x,y),y),intersection(x,y)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(113,plain,
~ subclass(x,y),
inference(cnf,[status(esa)],[prove_subclass_property2_2]) ).
cnf(l33,plain,
~ subclass(x,y),
inference(instantiation,[status(thm)],[113]) ).
cnf(21,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection2]) ).
cnf(l34,plain,
( ~ member(not_subclass_element(intersection(x,y),y),intersection(x,y))
| member(not_subclass_element(intersection(x,y),y),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(l50,plain,
( ~ member(not_subclass_element(intersection(x,y),y),y)
| subclass(intersection(x,y),y) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l30,l33,l34,l50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET184-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n025.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 21 20:21:04 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.30 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 3.99/0.81 % launching worker at depth: 11
% 110.00/14.14 % SZS status Theorem for theBenchmark
% 110.00/14.14 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------