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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET074-6 : 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 : 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 02:11:27 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.49s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET074-6 : 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 : n006.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 04:50:13 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.38  % Drodi V4.1.1
% 0.10/0.49  % Refutation found
% 0.10/0.49  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.49  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.49  fof(f10,axiom,(
% 0.10/0.49    (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.10/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.49  fof(f21,axiom,(
% 0.10/0.49    (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.10/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.49  fof(f24,axiom,(
% 0.10/0.49    (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.10/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.49  fof(f67,axiom,(
% 0.10/0.49    (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.10/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.49  fof(f92,negated_conjecture,(
% 0.10/0.49    member(y,universal_class) ),
% 0.10/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.49  fof(f93,negated_conjecture,(
% 0.10/0.49    unordered_pair(x,y) = null_class ),
% 0.10/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.49  fof(f106,plain,(
% 0.10/0.49    ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.10/0.49    inference(miniscoping,[status(thm)],[f10])).
% 0.10/0.49  fof(f107,plain,(
% 0.10/0.49    ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.10/0.49    inference(cnf_transformation,[status(thm)],[f106])).
% 0.10/0.49  fof(f121,plain,(
% 0.10/0.49    ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.10/0.49    inference(miniscoping,[status(thm)],[f21])).
% 0.10/0.49  fof(f122,plain,(
% 0.10/0.49    ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.10/0.49    inference(cnf_transformation,[status(thm)],[f121])).
% 0.10/0.49  fof(f126,plain,(
% 0.10/0.49    ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.10/0.49    inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.49  fof(f169,plain,(
% 0.10/0.49    ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.10/0.49    inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.49  fof(f199,plain,(
% 0.10/0.49    member(y,universal_class)),
% 0.10/0.49    inference(cnf_transformation,[status(thm)],[f92])).
% 0.10/0.49  fof(f200,plain,(
% 0.10/0.49    unordered_pair(x,y)=null_class),
% 0.10/0.49    inference(cnf_transformation,[status(thm)],[f93])).
% 0.10/0.49  fof(f221,plain,(
% 0.10/0.49    ![X0]: (member(y,unordered_pair(X0,y)))),
% 0.10/0.49    inference(resolution,[status(thm)],[f107,f199])).
% 0.10/0.49  fof(f243,plain,(
% 0.10/0.49    member(y,null_class)),
% 0.10/0.49    inference(paramodulation,[status(thm)],[f200,f221])).
% 0.10/0.49  fof(f528,plain,(
% 0.10/0.49    ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 0.10/0.49    inference(paramodulation,[status(thm)],[f169,f122])).
% 0.10/0.49  fof(f1390,plain,(
% 0.10/0.49    ![X0]: (member(y,X0)|X0=null_class)),
% 0.10/0.49    inference(resolution,[status(thm)],[f528,f243])).
% 0.10/0.49  fof(f1398,plain,(
% 0.10/0.49    ![X0]: (complement(X0)=null_class|~member(y,X0))),
% 0.10/0.49    inference(resolution,[status(thm)],[f1390,f126])).
% 0.10/0.49  fof(f1468,plain,(
% 0.10/0.49    complement(null_class)=null_class),
% 0.10/0.49    inference(resolution,[status(thm)],[f1398,f243])).
% 0.10/0.49  fof(f1483,plain,(
% 0.10/0.49    ![X0]: (~member(X0,null_class)|~member(X0,null_class))),
% 0.10/0.49    inference(paramodulation,[status(thm)],[f1468,f126])).
% 0.10/0.49  fof(f1486,plain,(
% 0.10/0.49    ![X0]: (~member(X0,null_class))),
% 0.10/0.49    inference(duplicate_literals_removal,[status(thm)],[f1483])).
% 0.10/0.49  fof(f1583,plain,(
% 0.10/0.49    $false),
% 0.10/0.49    inference(backward_subsumption_resolution,[status(thm)],[f243,f1486])).
% 0.10/0.49  % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.51  % Elapsed time: 0.124249 seconds
% 0.10/0.51  % CPU time: 0.717789 seconds
% 0.10/0.51  % Total memory used: 118.126 MB
% 0.10/0.51  % Net memory used: 116.890 MB
%------------------------------------------------------------------------------