%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET098-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:11:32 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET098-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:52:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.45 fof(f2,axiom,(
% 0.15/0.45 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f22,axiom,(
% 0.15/0.45 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f103,axiom,(
% 0.15/0.45 (![Z]: (~ member(Z,null_class) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f105,axiom,(
% 0.15/0.45 (![X]: (( ~ subclass(X,null_class)| X = null_class ) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f141,axiom,(
% 0.15/0.45 (![X]: (( 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))| singleton(not_subclass_element(X,null_class)) = X| X = null_class ) ))),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f142,negated_conjecture,(
% 0.15/0.45 ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x) ),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f143,negated_conjecture,(
% 0.15/0.45 singleton(not_subclass_element(x,null_class)) != x ),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f144,negated_conjecture,(
% 0.15/0.45 x != null_class ),
% 0.15/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f147,plain,(
% 0.15/0.45 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.45 fof(f174,plain,(
% 0.15/0.45 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.15/0.45 inference(miniscoping,[status(thm)],[f22])).
% 0.15/0.45 fof(f175,plain,(
% 0.15/0.45 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f174])).
% 0.15/0.45 fof(f266,plain,(
% 0.15/0.45 ![X0]: (~member(X0,null_class))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f103])).
% 0.15/0.45 fof(f268,plain,(
% 0.15/0.45 ![X0]: (~subclass(X0,null_class)|X0=null_class)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f105])).
% 0.15/0.45 fof(f313,plain,(
% 0.15/0.45 ![X0]: (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))|singleton(not_subclass_element(X0,null_class))=X0|X0=null_class)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f141])).
% 0.15/0.45 fof(f314,plain,(
% 0.15/0.45 ~member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f142])).
% 0.15/0.45 fof(f315,plain,(
% 0.15/0.45 ~singleton(not_subclass_element(x,null_class))=x),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f143])).
% 0.15/0.45 fof(f316,plain,(
% 0.15/0.45 ~x=null_class),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f144])).
% 0.15/0.45 fof(f324,plain,(
% 0.15/0.45 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 0.15/0.45 inference(resolution,[status(thm)],[f175,f147])).
% 0.15/0.45 fof(f517,plain,(
% 0.15/0.45 subclass(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class)),
% 0.15/0.45 inference(resolution,[status(thm)],[f324,f314])).
% 0.15/0.45 fof(f598,plain,(
% 0.15/0.45 intersection(complement(singleton(not_subclass_element(x,null_class))),x)=null_class),
% 0.15/0.45 inference(resolution,[status(thm)],[f517,f268])).
% 0.15/0.45 fof(f603,plain,(
% 0.15/0.45 member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),null_class)|singleton(not_subclass_element(x,null_class))=x|x=null_class),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f598,f313])).
% 0.15/0.45 fof(f612,plain,(
% 0.15/0.45 member(not_subclass_element(null_class,null_class),null_class)|singleton(not_subclass_element(x,null_class))=x|x=null_class),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f598,f603])).
% 0.15/0.45 fof(f613,plain,(
% 0.15/0.45 singleton(not_subclass_element(x,null_class))=x|x=null_class),
% 0.15/0.45 inference(forward_subsumption_resolution,[status(thm)],[f612,f266])).
% 0.15/0.45 fof(f690,plain,(
% 0.15/0.45 ~null_class=null_class),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f691,f316])).
% 0.15/0.46 fof(f691,plain,(
% 0.15/0.46 x=null_class),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f613,f315])).
% 0.15/0.46 fof(f693,plain,(
% 0.15/0.46 $false),
% 0.15/0.46 inference(trivial_equality_resolution,[status(thm)],[f690])).
% 0.15/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.49 % Elapsed time: 0.104749 seconds
% 0.15/0.49 % CPU time: 0.368033 seconds
% 0.15/0.49 % Total memory used: 108.953 MB
% 0.15/0.49 % Net memory used: 108.696 MB
%------------------------------------------------------------------------------