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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET024-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.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 02:11:15 PM UTC 2026

% Result   : Unsatisfiable 0.11s 0.42s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET024-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n008.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 04:44:38 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.39  % Drodi V4.1.1
% 0.11/0.42  % Refutation found
% 0.11/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.42  % SZS output start CNFRefutation for theBenchmark
% 0.11/0.42  fof(f6,axiom,(
% 0.11/0.42    (![U,X,Y]: (( member(U,non_ordered_pair(X,Y))| ~ little_set(U)| U != X ) ))),
% 0.11/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42  fof(f9,axiom,(
% 0.11/0.42    (![X]: (singleton_set(X) = non_ordered_pair(X,X) ))),
% 0.11/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42  fof(f142,hypothesis,(
% 0.11/0.42    little_set(a) ),
% 0.11/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42  fof(f143,negated_conjecture,(
% 0.11/0.42    ~ member(a,singleton_set(a)) ),
% 0.11/0.42    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42  fof(f151,plain,(
% 0.11/0.42    ![U,X]: (((![Y]: member(U,non_ordered_pair(X,Y)))|~little_set(U))|~U=X)),
% 0.11/0.42    inference(miniscoping,[status(thm)],[f6])).
% 0.11/0.42  fof(f152,plain,(
% 0.11/0.42    ![X0,X1,X2]: (member(X0,non_ordered_pair(X1,X2))|~little_set(X0)|~X0=X1)),
% 0.11/0.42    inference(cnf_transformation,[status(thm)],[f151])).
% 0.11/0.42  fof(f156,plain,(
% 0.11/0.42    ![X0]: (singleton_set(X0)=non_ordered_pair(X0,X0))),
% 0.11/0.42    inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.42  fof(f321,plain,(
% 0.11/0.42    little_set(a)),
% 0.11/0.42    inference(cnf_transformation,[status(thm)],[f142])).
% 0.11/0.42  fof(f322,plain,(
% 0.11/0.42    ~member(a,singleton_set(a))),
% 0.11/0.42    inference(cnf_transformation,[status(thm)],[f143])).
% 0.11/0.42  fof(f323,plain,(
% 0.11/0.42    ![X0,X1]: (member(X0,non_ordered_pair(X0,X1))|~little_set(X0))),
% 0.11/0.42    inference(destructive_equality_resolution,[status(thm)],[f152])).
% 0.11/0.42  fof(f390,plain,(
% 0.11/0.42    ![X0]: (member(a,non_ordered_pair(a,X0)))),
% 0.11/0.42    inference(resolution,[status(thm)],[f323,f321])).
% 0.11/0.42  fof(f405,plain,(
% 0.11/0.42    member(a,singleton_set(a))),
% 0.11/0.42    inference(paramodulation,[status(thm)],[f156,f390])).
% 0.11/0.42  fof(f406,plain,(
% 0.11/0.42    $false),
% 0.11/0.42    inference(forward_subsumption_resolution,[status(thm)],[f405,f322])).
% 0.11/0.42  % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.46  % Elapsed time: 0.076882 seconds
% 0.11/0.46  % CPU time: 0.203327 seconds
% 0.11/0.46  % Total memory used: 107.189 MB
% 0.11/0.46  % Net memory used: 107.073 MB
%------------------------------------------------------------------------------