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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET071-6 : 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 02:11:26 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  : SET071-6 : 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 : n002.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 04:52:31 UTC 2026
% 0.10/0.36  % 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(f1,axiom,(
% 0.10/0.44    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f4,axiom,(
% 0.10/0.44    (![X]: (subclass(X,universal_class) ))),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f8,axiom,(
% 0.10/0.44    (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f66,axiom,(
% 0.10/0.44    (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f92,negated_conjecture,(
% 0.10/0.44    unordered_pair(x,y) != null_class ),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f93,negated_conjecture,(
% 0.10/0.44    ~ member(x,universal_class) ),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f94,negated_conjecture,(
% 0.10/0.44    ~ member(y,universal_class) ),
% 0.10/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44  fof(f95,plain,(
% 0.10/0.44    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.10/0.44    inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.44  fof(f96,plain,(
% 0.10/0.44    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f95])).
% 0.10/0.44  fof(f99,plain,(
% 0.10/0.44    ![X0]: (subclass(X0,universal_class))),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.44  fof(f103,plain,(
% 0.10/0.44    ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.10/0.44    inference(miniscoping,[status(thm)],[f8])).
% 0.10/0.44  fof(f104,plain,(
% 0.10/0.44    ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f103])).
% 0.10/0.44  fof(f169,plain,(
% 0.10/0.44    ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f66])).
% 0.10/0.44  fof(f200,plain,(
% 0.10/0.44    ~unordered_pair(x,y)=null_class),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f92])).
% 0.10/0.44  fof(f201,plain,(
% 0.10/0.44    ~member(x,universal_class)),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f93])).
% 0.10/0.44  fof(f202,plain,(
% 0.10/0.44    ~member(y,universal_class)),
% 0.10/0.44    inference(cnf_transformation,[status(thm)],[f94])).
% 0.10/0.44  fof(f218,plain,(
% 0.10/0.44    ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.10/0.44    inference(resolution,[status(thm)],[f96,f99])).
% 0.10/0.44  fof(f298,plain,(
% 0.10/0.44    ![X0,X1]: (unordered_pair(X0,X1)=null_class|regular(unordered_pair(X0,X1))=X0|regular(unordered_pair(X0,X1))=X1)),
% 0.10/0.44    inference(resolution,[status(thm)],[f169,f104])).
% 0.10/0.44  fof(f346,plain,(
% 0.10/0.44    ![X0]: (~member(y,X0))),
% 0.10/0.44    inference(resolution,[status(thm)],[f218,f202])).
% 0.10/0.44  fof(f347,plain,(
% 0.10/0.44    ![X0]: (~member(x,X0))),
% 0.10/0.44    inference(resolution,[status(thm)],[f218,f201])).
% 0.10/0.44  fof(f428,plain,(
% 0.10/0.44    ![X0,X1]: (unordered_pair(X0,X1)=null_class|member(X0,unordered_pair(X0,X1))|unordered_pair(X0,X1)=null_class|regular(unordered_pair(X0,X1))=X1)),
% 0.10/0.44    inference(paramodulation,[status(thm)],[f298,f169])).
% 0.10/0.44  fof(f436,plain,(
% 0.10/0.44    ![X0,X1]: (unordered_pair(X0,X1)=null_class|member(X0,unordered_pair(X0,X1))|regular(unordered_pair(X0,X1))=X1)),
% 0.10/0.44    inference(duplicate_literals_removal,[status(thm)],[f428])).
% 0.10/0.44  fof(f1034,plain,(
% 0.10/0.44    ![X0]: (unordered_pair(x,X0)=null_class|regular(unordered_pair(x,X0))=X0)),
% 0.10/0.44    inference(resolution,[status(thm)],[f436,f347])).
% 0.10/0.44  fof(f1093,plain,(
% 0.10/0.44    ![X0]: (unordered_pair(x,X0)=null_class|member(X0,unordered_pair(x,X0))|unordered_pair(x,X0)=null_class)),
% 0.10/0.44    inference(paramodulation,[status(thm)],[f1034,f169])).
% 0.10/0.44  fof(f1098,plain,(
% 0.10/0.44    ![X0]: (unordered_pair(x,X0)=null_class|member(X0,unordered_pair(x,X0)))),
% 0.10/0.44    inference(duplicate_literals_removal,[status(thm)],[f1093])).
% 0.10/0.44  fof(f1293,plain,(
% 0.10/0.44    unordered_pair(x,y)=null_class),
% 0.10/0.44    inference(resolution,[status(thm)],[f1098,f346])).
% 0.10/0.44  fof(f1297,plain,(
% 0.10/0.44    $false),
% 0.10/0.44    inference(forward_subsumption_resolution,[status(thm)],[f1293,f200])).
% 0.10/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.47  % Elapsed time: 0.092353 seconds
% 0.10/0.47  % CPU time: 0.428969 seconds
% 0.10/0.47  % Total memory used: 111.185 MB
% 0.10/0.47  % Net memory used: 110.626 MB
%------------------------------------------------------------------------------