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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET065-6 : 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 : n020.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 02:11:24 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.42s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET065-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n020.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 04:49:34 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.38  % Drodi V4.1.1
% 0.10/0.42  % Refutation found
% 0.10/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42  fof(f1,axiom,(
% 0.10/0.42    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.10/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42  fof(f4,axiom,(
% 0.10/0.42    (![X]: (subclass(X,universal_class) ))),
% 0.10/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42  fof(f47,axiom,(
% 0.10/0.42    (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 0.10/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42  fof(f50,axiom,(
% 0.10/0.42    inductive(omega) ),
% 0.10/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42  fof(f92,negated_conjecture,(
% 0.10/0.42    ~ member(null_class,universal_class) ),
% 0.10/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42  fof(f93,plain,(
% 0.10/0.42    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.10/0.42    inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.42  fof(f94,plain,(
% 0.10/0.42    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.10/0.42    inference(cnf_transformation,[status(thm)],[f93])).
% 0.10/0.42  fof(f97,plain,(
% 0.10/0.42    ![X0]: (subclass(X0,universal_class))),
% 0.10/0.42    inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.42  fof(f148,plain,(
% 0.10/0.42    ![X0]: (~inductive(X0)|member(null_class,X0))),
% 0.10/0.42    inference(cnf_transformation,[status(thm)],[f47])).
% 0.10/0.42  fof(f151,plain,(
% 0.10/0.42    inductive(omega)),
% 0.10/0.42    inference(cnf_transformation,[status(thm)],[f50])).
% 0.10/0.42  fof(f198,plain,(
% 0.10/0.42    ~member(null_class,universal_class)),
% 0.10/0.42    inference(cnf_transformation,[status(thm)],[f92])).
% 0.10/0.42  fof(f203,plain,(
% 0.10/0.42    ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.10/0.42    inference(resolution,[status(thm)],[f97,f94])).
% 0.10/0.42  fof(f205,plain,(
% 0.10/0.42    member(null_class,omega)),
% 0.10/0.42    inference(resolution,[status(thm)],[f148,f151])).
% 0.10/0.42  fof(f211,plain,(
% 0.10/0.42    member(null_class,universal_class)),
% 0.10/0.42    inference(resolution,[status(thm)],[f203,f205])).
% 0.10/0.42  fof(f215,plain,(
% 0.10/0.42    $false),
% 0.10/0.42    inference(forward_subsumption_resolution,[status(thm)],[f211,f198])).
% 0.10/0.42  % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42  % Elapsed time: 0.047880 seconds
% 0.10/0.42  % CPU time: 0.124405 seconds
% 0.10/0.42  % Total memory used: 65.287 MB
% 0.10/0.42  % Net memory used: 65.247 MB
%------------------------------------------------------------------------------