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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET199-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.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 02:11:46 PM UTC 2026

% Result   : Unsatisfiable 2.64s 0.78s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET199-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33  % Computer : n002.cluster.edu
% 0.07/0.33  % Model    : x86_64 x86_64
% 0.07/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33  % Memory   : 8046.5625MB
% 0.07/0.33  % OS       : Linux 6.8.0-71-generic
% 0.07/0.33  % CPULimit : 300
% 0.07/0.33  % WCLimit  : 300
% 0.07/0.33  % DateTime : Mon Sep 21 05:02:46 UTC 2026
% 0.07/0.34  % CPUTime  : 
% 0.07/0.35  % Drodi V4.1.1
% 2.64/0.78  % Refutation found
% 2.64/0.78  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.64/0.78  % SZS output start CNFRefutation for theBenchmark
% 2.64/0.78  fof(f1,axiom,(
% 2.64/0.78    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 2.64/0.78    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.64/0.78  fof(f2,axiom,(
% 2.64/0.78    (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 2.64/0.78    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.64/0.78  fof(f3,axiom,(
% 2.64/0.78    (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 2.64/0.78    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.64/0.78  fof(f23,axiom,(
% 2.64/0.78    (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 2.64/0.78    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.64/0.78  fof(f113,negated_conjecture,(
% 2.64/0.78    subclass(z,x) ),
% 2.64/0.78    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.64/0.78  fof(f114,negated_conjecture,(
% 2.64/0.78    subclass(z,y) ),
% 2.64/0.78    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.64/0.78  fof(f115,negated_conjecture,(
% 2.64/0.78    ~ subclass(z,intersection(x,y)) ),
% 2.64/0.78    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.64/0.78  fof(f116,plain,(
% 2.64/0.78    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 2.64/0.78    inference(miniscoping,[status(thm)],[f1])).
% 2.64/0.78  fof(f117,plain,(
% 2.64/0.78    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 2.64/0.78    inference(cnf_transformation,[status(thm)],[f116])).
% 2.64/0.78  fof(f118,plain,(
% 2.64/0.78    ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 2.64/0.78    inference(cnf_transformation,[status(thm)],[f2])).
% 2.64/0.78  fof(f119,plain,(
% 2.64/0.78    ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 2.64/0.78    inference(cnf_transformation,[status(thm)],[f3])).
% 2.64/0.78  fof(f147,plain,(
% 2.64/0.78    ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 2.64/0.78    inference(cnf_transformation,[status(thm)],[f23])).
% 2.64/0.78  fof(f247,plain,(
% 2.64/0.78    subclass(z,x)),
% 2.64/0.78    inference(cnf_transformation,[status(thm)],[f113])).
% 2.64/0.78  fof(f248,plain,(
% 2.64/0.78    subclass(z,y)),
% 2.64/0.78    inference(cnf_transformation,[status(thm)],[f114])).
% 2.64/0.78  fof(f249,plain,(
% 2.64/0.78    ~subclass(z,intersection(x,y))),
% 2.64/0.78    inference(cnf_transformation,[status(thm)],[f115])).
% 2.64/0.78  fof(f252,plain,(
% 2.64/0.78    ![X0]: (~member(X0,z)|member(X0,y))),
% 2.64/0.78    inference(resolution,[status(thm)],[f117,f248])).
% 2.64/0.78  fof(f253,plain,(
% 2.64/0.78    ![X0]: (~member(X0,z)|member(X0,x))),
% 2.64/0.78    inference(resolution,[status(thm)],[f117,f247])).
% 2.64/0.78  fof(f264,plain,(
% 2.64/0.78    ![X0]: (subclass(z,X0)|member(not_subclass_element(z,X0),x))),
% 2.64/0.78    inference(resolution,[status(thm)],[f118,f253])).
% 2.64/0.78  fof(f265,plain,(
% 2.64/0.78    ![X0]: (subclass(z,X0)|member(not_subclass_element(z,X0),y))),
% 2.64/0.78    inference(resolution,[status(thm)],[f118,f252])).
% 2.64/0.78  fof(f317,plain,(
% 2.64/0.78    ![X0,X1]: (subclass(z,X0)|~member(not_subclass_element(z,X0),X1)|member(not_subclass_element(z,X0),intersection(x,X1)))),
% 2.64/0.78    inference(resolution,[status(thm)],[f264,f147])).
% 2.64/0.78  fof(f2393,plain,(
% 2.64/0.78    ![X0]: (subclass(z,X0)|member(not_subclass_element(z,X0),intersection(x,y))|subclass(z,X0))),
% 2.64/0.78    inference(resolution,[status(thm)],[f317,f265])).
% 2.64/0.78  fof(f2401,plain,(
% 2.64/0.78    ![X0]: (subclass(z,X0)|member(not_subclass_element(z,X0),intersection(x,y)))),
% 2.64/0.78    inference(duplicate_literals_removal,[status(thm)],[f2393])).
% 2.64/0.78  fof(f2822,plain,(
% 2.64/0.78    subclass(z,intersection(x,y))|subclass(z,intersection(x,y))),
% 2.64/0.78    inference(resolution,[status(thm)],[f2401,f119])).
% 2.64/0.78  fof(f2830,plain,(
% 2.64/0.78    subclass(z,intersection(x,y))),
% 2.64/0.78    inference(duplicate_literals_removal,[status(thm)],[f2822])).
% 2.64/0.78  fof(f2831,plain,(
% 2.64/0.78    $false),
% 2.64/0.78    inference(forward_subsumption_resolution,[status(thm)],[f2830,f249])).
% 2.64/0.78  % SZS output end CNFRefutation for theBenchmark.p
% 2.64/0.79  % Elapsed time: 0.439743 seconds
% 2.64/0.79  % CPU time: 3.118059 seconds
% 2.64/0.79  % Total memory used: 152.648 MB
% 2.64/0.79  % Net memory used: 145.843 MB
%------------------------------------------------------------------------------