%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET082-7 : 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 : n024.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 2.17s 0.63s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_singleton_is_null_class_2)
% Comments :
%------------------------------------------------------------------------------
cnf(126,plain,
singleton(x) != null_class,
inference(cnf,[status(esa)],[prove_singleton_is_null_class_2]) ).
cnf(l0,plain,
singleton(x) != null_class,
inference(instantiation,[status(thm)],[126]) ).
cnf(11,plain,
unordered_pair(X0,X0) = singleton(X0),
inference(cnf,[status(esa)],[singleton_set]) ).
cnf(l3,plain,
unordered_pair(x,x) = singleton(x),
inference(instantiation,[status(thm)],[11]) ).
cnf(112,plain,
( member(X0,universal_class)
| member(X1,universal_class)
| unordered_pair(X0,X1) = null_class ),
inference(cnf,[status(esa)],[null_unordered_pair]) ).
cnf(l12,plain,
( member(x,universal_class)
| member(x,universal_class)
| unordered_pair(x,x) = null_class ),
inference(instantiation,[status(thm)],[112]) ).
cnf(125,plain,
~ member(x,universal_class),
inference(cnf,[status(esa)],[prove_singleton_is_null_class_1]) ).
cnf(l15,plain,
~ member(x,universal_class),
inference(instantiation,[status(thm)],[125]) ).
cnf(l13,plain,
~ member(x,universal_class),
inference(instantiation,[status(thm)],[125]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l12,l15,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET082-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 19:45:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 2.17/0.63 % SZS status Theorem for theBenchmark
% 2.17/0.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------