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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET061-6 : 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 : n011.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 0.10s 0.44s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET061-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n011.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 04:48:25 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.38  % Drodi V4.1.1
% 0.10/0.44  % Refutation found
% 0.10/0.44  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.44  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.44  fof(f21,axiom,(
% 0.10/0.44    (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f24,axiom,(
% 0.10/0.44    (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f67,axiom,(
% 0.10/0.44    (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f92,negated_conjecture,(
% 0.10/0.44    member(z,null_class) ),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f120,plain,(
% 0.10/0.44    ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.10/0.44    inference(miniscoping,[status(thm)],[f21])).
% 0.10/0.44  fof(f121,plain,(
% 0.10/0.44    ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f120])).
% 0.10/0.44  fof(f125,plain,(
% 0.10/0.44    ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.44  fof(f168,plain,(
% 0.10/0.44    ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.44  fof(f198,plain,(
% 0.10/0.44    member(z,null_class)),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f92])).
% 0.10/0.44  fof(f263,plain,(
% 0.10/0.44    ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 0.10/0.44    inference(paramodulation,[status(thm)],[f168,f121])).
% 0.10/0.44  fof(f336,plain,(
% 0.10/0.44    ![X0]: (member(z,X0)|X0=null_class)),
% 0.10/0.44    inference(resolution,[status(thm)],[f263,f198])).
% 0.10/0.44  fof(f341,plain,(
% 0.10/0.44    ![X0]: (complement(X0)=null_class|~member(z,X0))),
% 0.10/0.44    inference(resolution,[status(thm)],[f336,f125])).
% 0.10/0.44  fof(f362,plain,(
% 0.10/0.44    complement(null_class)=null_class),
% 0.10/0.44    inference(resolution,[status(thm)],[f341,f198])).
% 0.10/0.44  fof(f379,plain,(
% 0.10/0.44    ![X0]: (~member(X0,null_class)|~member(X0,null_class))),
% 0.10/0.44    inference(paramodulation,[status(thm)],[f362,f125])).
% 0.10/0.44  fof(f382,plain,(
% 0.10/0.44    ![X0]: (~member(X0,null_class))),
% 0.10/0.44    inference(duplicate_literals_removal,[status(thm)],[f379])).
% 0.10/0.44  fof(f383,plain,(
% 0.10/0.44    $false),
% 0.10/0.44    inference(backward_subsumption_resolution,[status(thm)],[f198,f382])).
% 0.10/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.47  % Elapsed time: 0.083639 seconds
% 0.10/0.47  % CPU time: 0.258790 seconds
% 0.10/0.47  % Total memory used: 107.681 MB
% 0.10/0.47  % Net memory used: 107.490 MB
%------------------------------------------------------------------------------