%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET080-6 : 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 : n019.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 03:31:27 PM UTC 2025
% Result : Unsatisfiable 9.02s 1.46s
% Output : CNFRefutation 9.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_null_class_in_its_singleton_1)
% Comments :
%------------------------------------------------------------------------------
cnf(91,plain,
~ member(null_class,singleton(null_class)),
inference(cnf,[status(esa)],[prove_null_class_in_its_singleton_1]) ).
cnf(l0,plain,
~ member(null_class,singleton(null_class)),
inference(instantiation,[status(thm)],[91]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l1,plain,
( ~ subclass(unordered_pair(null_class,null_class),singleton(null_class))
| ~ member(null_class,unordered_pair(null_class,null_class))
| member(null_class,singleton(null_class)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X1,X0)) ),
inference(cnf,[status(esa)],[unordered_pair3]) ).
cnf(l56,plain,
( ~ member(null_class,universal_class)
| member(null_class,unordered_pair(null_class,null_class)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(5,plain,
( X0 != X1
| subclass(X1,X0) ),
inference(cnf,[status(esa)],[equal_implies_subclass2]) ).
cnf(l2,plain,
( singleton(null_class) != unordered_pair(null_class,null_class)
| subclass(unordered_pair(null_class,null_class),singleton(null_class)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l57,plain,
( ~ subclass(omega,universal_class)
| ~ member(null_class,omega)
| member(null_class,universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(11,plain,
unordered_pair(X0,X0) = singleton(X0),
inference(cnf,[status(esa)],[singleton_set]) ).
cnf(l4,plain,
unordered_pair(null_class,null_class) = singleton(null_class),
inference(instantiation,[status(thm)],[11]) ).
cnf(46,plain,
( ~ inductive(X0)
| member(null_class,X0) ),
inference(cnf,[status(esa)],[inductive1]) ).
cnf(l62,plain,
( ~ inductive(omega)
| member(null_class,omega) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(49,plain,
inductive(omega),
inference(cnf,[status(esa)],[omega_is_inductive1]) ).
cnf(l64,plain,
inductive(omega),
inference(instantiation,[status(thm)],[49]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l58,plain,
subclass(omega,universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l56,l2,l57,l4,l62,l64,l58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET080-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 19:45:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 1
% 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: 5
% 0.12/0.34 % launching worker at depth: 3
% 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
% 0.19/0.44 % launching worker at depth: 11
% 9.02/1.46 % SZS status Theorem for theBenchmark
% 9.02/1.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------