%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET083-7 : 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 03:31:28 PM UTC 2025
% Result : Unsatisfiable 2.38s 0.64s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_singleton_identified_by_element1_1)
% Comments :
%------------------------------------------------------------------------------
cnf(126,plain,
singleton(x) = singleton(y),
inference(cnf,[status(esa)],[prove_singleton_identified_by_element1_1]) ).
cnf(l0,plain,
singleton(x) = singleton(y),
inference(instantiation,[status(thm)],[126]) ).
cnf(124,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf,[status(esa)],[only_member_in_singleton]) ).
cnf(l18,plain,
( ~ member(x,singleton(y))
| x = y ),
inference(instantiation,[status(thm)],[124]) ).
cnf(121,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
inference(cnf,[status(esa)],[set_in_its_singleton]) ).
cnf(l3,plain,
( ~ member(x,universal_class)
| member(x,singleton(x)) ),
inference(instantiation,[status(thm)],[121]) ).
cnf(128,plain,
x != y,
inference(cnf,[status(esa)],[prove_singleton_identified_by_element1_3]) ).
cnf(l23,plain,
x != y,
inference(instantiation,[status(thm)],[128]) ).
cnf(127,plain,
member(x,universal_class),
inference(cnf,[status(esa)],[prove_singleton_identified_by_element1_2]) ).
cnf(l10,plain,
member(x,universal_class),
inference(instantiation,[status(thm)],[127]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l18,l3,l23,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET083-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 19:46:04 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.20/0.35 % launching worker at depth: 6
% 0.20/0.35 % launching worker at depth: 3
% 0.20/0.35 % launching worker at depth: 7
% 0.20/0.35 % launching worker at depth: 1
% 0.20/0.35 % launching worker at depth: 5
% 0.20/0.35 % launching worker at depth: 8
% 0.20/0.35 % launching worker at depth: 2
% 0.20/0.35 % launching worker at depth: 4
% 0.20/0.35 % launching worker at depth: 9
% 0.20/0.41 % launching worker at depth: 10
% 2.38/0.64 % SZS status Theorem for theBenchmark
% 2.38/0.64 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------