%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET061-7 : 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 : 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 03:31:20 PM UTC 2025
% Result : Unsatisfiable 11.83s 1.82s
% Output : CNFRefutation 11.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_existence_of_null_class_1)
% Comments :
%------------------------------------------------------------------------------
cnf(102,plain,
member(z,null_class),
inference(cnf,[status(esa)],[prove_existence_of_null_class_1]) ).
cnf(l0,plain,
member(z,null_class),
inference(instantiation,[status(thm)],[102]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l1,plain,
( ~ subclass(null_class,complement(null_class))
| ~ member(z,null_class)
| member(z,complement(null_class)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(23,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement1]) ).
cnf(l2,plain,
( ~ member(z,null_class)
| ~ member(z,complement(null_class)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l33,plain,
( subclass(intersection(complement(X1_27),X1_27),complement(null_class))
| member(not_subclass_element(intersection(complement(X1_27),X1_27),complement(null_class)),intersection(complement(X1_27),X1_27)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(65,plain,
( member(regular(X0),X0)
| X0 = null_class ),
inference(cnf,[status(esa)],[regularity1]) ).
cnf(l25,plain,
( member(regular(intersection(complement(X1_27),X1_27)),intersection(complement(X1_27),X1_27))
| intersection(complement(X1_27),X1_27) = null_class ),
inference(instantiation,[status(thm)],[65]) ).
cnf(101,plain,
~ member(X0,intersection(complement(X1),X1)),
inference(cnf,[status(esa)],[special_classes_lemma]) ).
cnf(l39,plain,
~ member(not_subclass_element(intersection(complement(X1_27),X1_27),complement(null_class)),intersection(complement(X1_27),X1_27)),
inference(instantiation,[status(thm)],[101]) ).
cnf(l27,plain,
~ member(regular(intersection(complement(X1_27),X1_27)),intersection(complement(X1_27),X1_27)),
inference(instantiation,[status(thm)],[101]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l33,l25,l39,l27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET061-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.08/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 19:37:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 1.65/0.55 % launching worker at depth: 11
% 11.83/1.82 % SZS status Theorem for theBenchmark
% 11.83/1.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------