%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM183-1 : 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 12:27:42 PM UTC 2025
% Result : Unsatisfiable 49.61s 6.65s
% Output : CNFRefutation 49.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ordinals_are_kind_1_or_limit_1)
% Comments :
%------------------------------------------------------------------------------
cnf(158,plain,
member(x,ordinal_numbers),
inference(cnf,[status(esa)],[prove_ordinals_are_kind_1_or_limit_1]) ).
cnf(l0,plain,
member(x,ordinal_numbers),
inference(instantiation,[status(thm)],[158]) ).
cnf(22,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection3]) ).
cnf(l1,plain,
( ~ member(x,complement(kind_1_ordinals))
| ~ member(x,ordinal_numbers)
| member(x,intersection(complement(kind_1_ordinals),ordinal_numbers)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l17,plain,
( ~ subclass(intersection(complement(kind_1_ordinals),ordinal_numbers),limit_ordinals)
| ~ member(x,intersection(complement(kind_1_ordinals),ordinal_numbers))
| member(x,limit_ordinals) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
( X0 != X1
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[equal_implies_subclass1]) ).
cnf(l20,plain,
( intersection(complement(kind_1_ordinals),ordinal_numbers) != limit_ordinals
| subclass(intersection(complement(kind_1_ordinals),ordinal_numbers),limit_ordinals) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(138,plain,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
inference(cnf,[status(esa)],[limit_ordinals]) ).
cnf(l25,plain,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
inference(instantiation,[status(thm)],[138]) ).
cnf(160,plain,
~ member(x,limit_ordinals),
inference(cnf,[status(esa)],[prove_ordinals_are_kind_1_or_limit_3]) ).
cnf(l31,plain,
~ member(x,limit_ordinals),
inference(instantiation,[status(thm)],[160]) ).
cnf(24,plain,
( ~ member(X0,universal_class)
| member(X0,X1)
| member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement2]) ).
cnf(l37,plain,
( ~ member(x,universal_class)
| member(x,kind_1_ordinals)
| member(x,complement(kind_1_ordinals)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l38,plain,
( ~ subclass(ordinal_numbers,universal_class)
| ~ member(x,ordinal_numbers)
| member(x,universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l40,plain,
subclass(ordinal_numbers,universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(159,plain,
~ member(x,kind_1_ordinals),
inference(cnf,[status(esa)],[prove_ordinals_are_kind_1_or_limit_2]) ).
cnf(l39,plain,
~ member(x,kind_1_ordinals),
inference(instantiation,[status(thm)],[159]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l17,l20,l25,l31,l37,l38,l40,l39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM183-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.12 % 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 10:56:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 2.12/0.67 % launching worker at depth: 11
% 49.61/6.65 % SZS status Theorem for theBenchmark
% 49.61/6.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------