%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET506-6 : 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 : n025.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 03:32:10 PM UTC 2025
% Result : Unsatisfiable 253.65s 32.17s
% Output : CNFRefutation 253.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_universal_class_not_null_class_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
universal_class = null_class,
inference(cnf,[status(esa)],[prove_universal_class_not_null_class_1]) ).
cnf(l0,plain,
universal_class = null_class,
inference(instantiation,[status(thm)],[112]) ).
cnf(65,plain,
( member(regular(X0),X0)
| X0 = null_class ),
inference(cnf,[status(esa)],[regularity1]) ).
cnf(l42,plain,
( member(regular(complement(universal_class)),complement(universal_class))
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[65]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l43,plain,
( ~ subclass(complement(universal_class),universal_class)
| ~ member(regular(complement(universal_class)),complement(universal_class))
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l17,plain,
( ~ subclass(universal_class,complement(universal_class))
| ~ member(omega,universal_class)
| member(omega,complement(universal_class)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( X0 != X1
| subclass(X1,X0) ),
inference(cnf,[status(esa)],[equal_implies_subclass2]) ).
cnf(l61,plain,
( complement(universal_class) != universal_class
| subclass(universal_class,complement(universal_class)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(51,plain,
member(omega,universal_class),
inference(cnf,[status(esa)],[omega_in_universal]) ).
cnf(l21,plain,
member(omega,universal_class),
inference(instantiation,[status(thm)],[51]) ).
cnf(23,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement1]) ).
cnf(l55,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| ~ member(regular(complement(universal_class)),complement(universal_class)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l52,plain,
subclass(complement(universal_class),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(l79,plain,
( ~ member(omega,universal_class)
| ~ member(omega,complement(universal_class)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l42,l43,l17,l61,l21,l55,l52,l79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET506-6 : 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 : n025.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 21:44:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 5
% 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: 4
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.39 % launching worker at depth: 10
% 2.89/0.69 % launching worker at depth: 11
% 61.50/8.09 % launching worker at depth: 12
% 253.65/32.17 % SZS status Theorem for theBenchmark
% 253.65/32.17 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------