%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET098-7 : 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 03:31:32 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_corollary_1_to_number_of_elements_in_class_1)
% Comments :
%------------------------------------------------------------------------------
cnf(141,plain,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
inference(cnf,[status(esa)],[prove_corollary_1_to_number_of_elements_in_class_1]) ).
cnf(l0,plain,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
inference(instantiation,[status(thm)],[141]) ).
cnf(21,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection2]) ).
cnf(l1,plain,
( ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x))
| member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(140,plain,
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X0,null_class))),X0),null_class),intersection(complement(singleton(not_subclass_element(X0,null_class))),X0))
| X0 = null_class
| singleton(not_subclass_element(X0,null_class)) = X0 ),
inference(cnf,[status(esa)],[number_of_elements_in_class]) ).
cnf(l2,plain,
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x))
| x = null_class
| singleton(not_subclass_element(x,null_class)) = x ),
inference(instantiation,[status(thm)],[140]) ).
cnf(143,plain,
x != null_class,
inference(cnf,[status(esa)],[prove_corollary_1_to_number_of_elements_in_class_3]) ).
cnf(l5,plain,
x != null_class,
inference(instantiation,[status(thm)],[143]) ).
cnf(142,plain,
singleton(not_subclass_element(x,null_class)) != x,
inference(cnf,[status(esa)],[prove_corollary_1_to_number_of_elements_in_class_2]) ).
cnf(l4,plain,
singleton(not_subclass_element(x,null_class)) != x,
inference(instantiation,[status(thm)],[142]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET098-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.10/0.12 % 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 19:53:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 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: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.12/0.39 % SZS status Theorem for theBenchmark
% 0.12/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------