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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET062-6 : 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 : n006.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 02:11:23 PM UTC 2026

% Result   : Unsatisfiable 0.12s 0.75s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET062-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.56  % Computer : n006.cluster.edu
% 0.08/0.56  % Model    : x86_64 x86_64
% 0.08/0.56  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56  % Memory   : 8046.5625MB
% 0.08/0.56  % OS       : Linux 6.8.0-71-generic
% 0.08/0.56  % CPULimit : 300
% 0.08/0.56  % WCLimit  : 300
% 0.08/0.56  % DateTime : Mon Sep 21 04:49:00 UTC 2026
% 0.08/0.56  % CPUTime  : 
% 0.08/0.58  % Drodi V4.1.1
% 0.12/0.75  % Refutation found
% 0.12/0.75  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.75  % SZS output start CNFRefutation for theBenchmark
% 0.12/0.75  fof(f2,axiom,(
% 0.12/0.75    (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.12/0.75    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.75  fof(f3,axiom,(
% 0.12/0.75    (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.12/0.75    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.75  fof(f21,axiom,(
% 0.12/0.75    (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.12/0.75    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.75  fof(f22,axiom,(
% 0.12/0.75    (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.12/0.75    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.75  fof(f67,axiom,(
% 0.12/0.75    (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.12/0.75    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.75  fof(f92,negated_conjecture,(
% 0.12/0.75    ~ subclass(null_class,x) ),
% 0.12/0.75    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.75  fof(f95,plain,(
% 0.12/0.75    ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.12/0.75    inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.75  fof(f96,plain,(
% 0.12/0.75    ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.12/0.75    inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.75  fof(f120,plain,(
% 0.12/0.75    ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.12/0.75    inference(miniscoping,[status(thm)],[f21])).
% 0.12/0.75  fof(f121,plain,(
% 0.12/0.75    ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.12/0.75    inference(cnf_transformation,[status(thm)],[f120])).
% 0.12/0.75  fof(f122,plain,(
% 0.12/0.75    ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.12/0.75    inference(miniscoping,[status(thm)],[f22])).
% 0.12/0.75  fof(f123,plain,(
% 0.12/0.75    ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.12/0.75    inference(cnf_transformation,[status(thm)],[f122])).
% 0.12/0.75  fof(f168,plain,(
% 0.12/0.75    ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.12/0.75    inference(cnf_transformation,[status(thm)],[f67])).
% 0.12/0.75  fof(f198,plain,(
% 0.12/0.75    ~subclass(null_class,x)),
% 0.12/0.75    inference(cnf_transformation,[status(thm)],[f92])).
% 0.12/0.75  fof(f223,plain,(
% 0.12/0.75    ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X1))),
% 0.12/0.75    inference(resolution,[status(thm)],[f95,f123])).
% 0.12/0.75  fof(f394,plain,(
% 0.12/0.75    ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 0.12/0.75    inference(paramodulation,[status(thm)],[f168,f121])).
% 0.12/0.75  fof(f395,plain,(
% 0.12/0.75    ![X0,X1]: (member(not_subclass_element(null_class,X0),X1)|X1=null_class|subclass(null_class,X0))),
% 0.12/0.75    inference(resolution,[status(thm)],[f394,f95])).
% 0.12/0.75  fof(f398,plain,(
% 0.12/0.75    ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 0.12/0.75    inference(resolution,[status(thm)],[f223,f96])).
% 0.12/0.75  fof(f413,plain,(
% 0.12/0.75    ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 0.12/0.75    inference(duplicate_literals_removal,[status(thm)],[f398])).
% 0.12/0.75  fof(f527,plain,(
% 0.12/0.75    ![X0,X1,X2]: (intersection(X0,X1)=null_class|subclass(null_class,X2)|member(not_subclass_element(null_class,X2),X1))),
% 0.12/0.75    inference(resolution,[status(thm)],[f395,f123])).
% 0.12/0.75  fof(f537,plain,(
% 0.12/0.75    ![X0,X1]: (intersection(X0,X1)=null_class|subclass(null_class,X1)|subclass(null_class,X1))),
% 0.12/0.75    inference(resolution,[status(thm)],[f527,f96])).
% 0.12/0.75  fof(f551,plain,(
% 0.12/0.75    ![X0,X1]: (intersection(X0,X1)=null_class|subclass(null_class,X1))),
% 0.12/0.75    inference(duplicate_literals_removal,[status(thm)],[f537])).
% 0.12/0.75  fof(f552,plain,(
% 0.12/0.75    ![X0]: (intersection(X0,x)=null_class)),
% 0.12/0.75    inference(resolution,[status(thm)],[f551,f198])).
% 0.12/0.75  fof(f825,plain,(
% 0.12/0.75    subclass(null_class,x)),
% 0.12/0.75    inference(paramodulation,[status(thm)],[f552,f413])).
% 0.12/0.75  fof(f827,plain,(
% 0.12/0.75    $false),
% 0.12/0.75    inference(forward_subsumption_resolution,[status(thm)],[f825,f198])).
% 0.12/0.75  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.77  % Elapsed time: 0.196274 seconds
% 0.12/0.77  % CPU time: 1.360214 seconds
% 0.12/0.77  % Total memory used: 127.454 MB
% 0.12/0.77  % Net memory used: 123.917 MB
%------------------------------------------------------------------------------