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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET093+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.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 02:11:31 PM UTC 2026

% Result   : Theorem 0.18s 0.48s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SET093+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  % Computer : n015.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Mon Sep 21 04:54:51 UTC 2026
% 0.18/0.44  % CPUTime  : 
% 0.18/0.46  % Drodi V4.1.1
% 0.18/0.48  % Refutation found
% 0.18/0.48  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.48  % SZS output start CNFRefutation for theBenchmark
% 0.18/0.48  fof(f5,axiom,(
% 0.18/0.48    (! [X,Y] : member(unordered_pair(X,Y),universal_class) )),
% 0.18/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f6,axiom,(
% 0.18/0.48    (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.18/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f48,conjecture,(
% 0.18/0.48    (! [X] :( singleton(member_of(X)) = X=> member(X,universal_class) ) )),
% 0.18/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f49,negated_conjecture,(
% 0.18/0.48    ~((! [X] :( singleton(member_of(X)) = X=> member(X,universal_class) ) ))),
% 0.18/0.48    inference(negated_conjecture,[status(cth)],[f48])).
% 0.18/0.48  fof(f69,plain,(
% 0.18/0.48    ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.48  fof(f70,plain,(
% 0.18/0.48    ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.48  fof(f201,plain,(
% 0.18/0.48    (?[X]: (singleton(member_of(X))=X&~member(X,universal_class)))),
% 0.18/0.48    inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.18/0.48  fof(f202,plain,(
% 0.18/0.48    (singleton(member_of(sK7_skl))=sK7_skl&~member(sK7_skl,universal_class))),
% 0.18/0.48    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X,sK7_skl)],[f201])).
% 0.18/0.48  fof(f203,plain,(
% 0.18/0.48    singleton(member_of(sK7_skl))=sK7_skl),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f202])).
% 0.18/0.48  fof(f204,plain,(
% 0.18/0.48    ~member(sK7_skl,universal_class)),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f202])).
% 0.18/0.48  fof(f305,plain,(
% 0.18/0.48    ![X0]: (member(singleton(X0),universal_class))),
% 0.18/0.48    inference(paramodulation,[status(thm)],[f70,f69])).
% 0.18/0.48  fof(f311,plain,(
% 0.18/0.48    member(sK7_skl,universal_class)),
% 0.18/0.48    inference(paramodulation,[status(thm)],[f203,f305])).
% 0.18/0.48  fof(f313,plain,(
% 0.18/0.48    $false),
% 0.18/0.48    inference(forward_subsumption_resolution,[status(thm)],[f311,f204])).
% 0.18/0.48  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.51  % Elapsed time: 0.061841 seconds
% 0.18/0.51  % CPU time: 0.170869 seconds
% 0.18/0.51  % Total memory used: 52.920 MB
% 0.18/0.51  % Net memory used: 52.860 MB
%------------------------------------------------------------------------------