%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET078-6 : 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 : n026.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 03:31:26 PM UTC 2025
% Result : Unsatisfiable 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_corollary_1_to_singletons_are_sets_1)
% Comments :
%------------------------------------------------------------------------------
cnf(91,plain,
~ member(singleton(y),unordered_pair(x,singleton(y))),
inference(cnf,[status(esa)],[prove_corollary_1_to_singletons_are_sets_1]) ).
cnf(l0,plain,
~ member(singleton(y),unordered_pair(x,singleton(y))),
inference(instantiation,[status(thm)],[91]) ).
cnf(11,plain,
unordered_pair(X0,X0) = singleton(X0),
inference(cnf,[status(esa)],[singleton_set]) ).
cnf(l2,plain,
unordered_pair(y,y) = singleton(y),
inference(instantiation,[status(thm)],[11]) ).
cnf(l10,plain,
unordered_pair(y,y) = singleton(y),
inference(instantiation,[status(thm)],[11]) ).
cnf(9,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X1,X0)) ),
inference(cnf,[status(esa)],[unordered_pair3]) ).
cnf(l6,plain,
( ~ member(unordered_pair(y,y),universal_class)
| member(unordered_pair(y,y),unordered_pair(x,unordered_pair(y,y))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(10,plain,
member(unordered_pair(X0,X1),universal_class),
inference(cnf,[status(esa)],[unordered_pairs_in_universal]) ).
cnf(l9,plain,
member(unordered_pair(y,y),universal_class),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l10,l6,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET078-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Jul 21 19:44:34 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % launching worker at depth: 5
% 0.11/0.32 % launching worker at depth: 2
% 0.11/0.32 % launching worker at depth: 6
% 0.11/0.32 % launching worker at depth: 4
% 0.11/0.32 % launching worker at depth: 1
% 0.11/0.32 % launching worker at depth: 3
% 0.11/0.32 % launching worker at depth: 7
% 0.11/0.32 % launching worker at depth: 8
% 0.11/0.33 % launching worker at depth: 9
% 0.11/0.33 % launching worker at depth: 10
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------