%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET090-7 : 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 : n018.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 03:31:30 PM UTC 2025
% Result : Unsatisfiable 0.06s 0.26s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_member_of_singleton_is_unique_1)
% Comments :
%------------------------------------------------------------------------------
cnf(133,plain,
member(u,universal_class),
inference(cnf,[status(esa)],[prove_member_of_singleton_is_unique_1]) ).
cnf(l0,plain,
member(u,universal_class),
inference(instantiation,[status(thm)],[133]) ).
cnf(127,plain,
( ~ member(X0,universal_class)
| singleton(X1) != singleton(X0)
| X1 = X0 ),
inference(cnf,[status(esa)],[singleton_identified_by_element2]) ).
cnf(l1,plain,
( ~ member(u,universal_class)
| singleton(member_of(singleton(u))) != singleton(u)
| member_of(singleton(u)) = u ),
inference(instantiation,[status(thm)],[127]) ).
cnf(130,plain,
( ~ member(X0,universal_class)
| singleton(member_of(singleton(X0))) = singleton(X0) ),
inference(cnf,[status(esa)],[member_exists2]) ).
cnf(l2,plain,
( ~ member(u,universal_class)
| singleton(member_of(singleton(u))) = singleton(u) ),
inference(instantiation,[status(thm)],[130]) ).
cnf(134,plain,
member_of(singleton(u)) != u,
inference(cnf,[status(esa)],[prove_member_of_singleton_is_unique_2]) ).
cnf(l3,plain,
member_of(singleton(u)) != u,
inference(instantiation,[status(thm)],[134]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SET090-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.02/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25 % Computer : n018.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Jul 21 19:48:49 EDT 2025
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.26 % SZS status Theorem for theBenchmark
% 0.06/0.26 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------