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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET102-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n009.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 02:11:33 PM UTC 2026

% Result   : Unsatisfiable 0.13s 0.41s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET102-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n009.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 04:52:57 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V4.1.1
% 0.13/0.41  % Refutation found
% 0.13/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41  fof(f10,axiom,(
% 0.13/0.41    (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.13/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41  fof(f11,axiom,(
% 0.13/0.41    (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 0.13/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41  fof(f13,axiom,(
% 0.13/0.41    (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 0.13/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41  fof(f146,negated_conjecture,(
% 0.13/0.41    ~ member(unordered_pair(x,singleton(y)),ordered_pair(x,y)) ),
% 0.13/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41  fof(f159,plain,(
% 0.13/0.41    ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.13/0.41    inference(miniscoping,[status(thm)],[f10])).
% 0.13/0.41  fof(f160,plain,(
% 0.13/0.41    ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.13/0.41    inference(cnf_transformation,[status(thm)],[f159])).
% 0.13/0.41  fof(f161,plain,(
% 0.13/0.41    ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 0.13/0.41    inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.41  fof(f163,plain,(
% 0.13/0.41    ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 0.13/0.41    inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.41  fof(f320,plain,(
% 0.13/0.41    ~member(unordered_pair(x,singleton(y)),ordered_pair(x,y))),
% 0.13/0.41    inference(cnf_transformation,[status(thm)],[f146])).
% 0.13/0.41  fof(f353,plain,(
% 0.13/0.41    ![X0,X1]: (~member(unordered_pair(X0,singleton(X1)),universal_class)|member(unordered_pair(X0,singleton(X1)),ordered_pair(X0,X1)))),
% 0.13/0.41    inference(paramodulation,[status(thm)],[f163,f160])).
% 0.13/0.41  fof(f360,plain,(
% 0.13/0.41    ![X0,X1]: (member(unordered_pair(X0,singleton(X1)),ordered_pair(X0,X1)))),
% 0.13/0.41    inference(forward_subsumption_resolution,[status(thm)],[f353,f161])).
% 0.13/0.41  fof(f361,plain,(
% 0.13/0.41    $false),
% 0.13/0.41    inference(backward_subsumption_resolution,[status(thm)],[f320,f360])).
% 0.13/0.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43  % Elapsed time: 0.070162 seconds
% 0.13/0.43  % CPU time: 0.276400 seconds
% 0.13/0.43  % Total memory used: 62.546 MB
% 0.13/0.43  % Net memory used: 62.290 MB
%------------------------------------------------------------------------------