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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET091+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 : n010.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 0.08s 5.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET091+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.37  % Computer : n010.cluster.edu
% 0.08/5.37  % Model    : x86_64 x86_64
% 0.08/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37  % Memory   : 8046.5625MB
% 0.08/5.37  % OS       : Linux 6.8.0-71-generic
% 0.08/5.37  % CPULimit : 300
% 0.08/5.37  % WCLimit  : 300
% 0.08/5.37  % DateTime : Mon Sep 21 04:52:19 UTC 2026
% 0.08/5.37  % CPUTime  : 
% 0.08/5.38  % Drodi V4.1.1
% 0.08/5.40  % Refutation found
% 0.08/5.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/5.40  % SZS output start CNFRefutation for theBenchmark
% 0.08/5.40  fof(f46,axiom,(
% 0.08/5.40    (! [X] :( member(member_of(X),universal_class)| member_of(X) = X ) )),
% 0.08/5.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.40  fof(f47,axiom,(
% 0.08/5.40    (! [X] :( singleton(member_of(X)) = X| member_of(X) = X ) )),
% 0.08/5.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.40  fof(f48,conjecture,(
% 0.08/5.40    (! [X,U] :( ( ~ (? [Y] :( member(Y,universal_class)& X = singleton(Y) ))& X = U )=> member_of(X) = U ) )),
% 0.08/5.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.40  fof(f49,negated_conjecture,(
% 0.08/5.40    ~((! [X,U] :( ( ~ (? [Y] :( member(Y,universal_class)& X = singleton(Y) ))& X = U )=> member_of(X) = U ) ))),
% 0.08/5.40    inference(negated_conjecture,[status(cth)],[f48])).
% 0.08/5.40  fof(f199,plain,(
% 0.08/5.40    ![X0]: (member(member_of(X0),universal_class)|member_of(X0)=X0)),
% 0.08/5.40    inference(cnf_transformation,[status(thm)],[f46])).
% 0.08/5.40  fof(f200,plain,(
% 0.08/5.40    ![X0]: (singleton(member_of(X0))=X0|member_of(X0)=X0)),
% 0.08/5.40    inference(cnf_transformation,[status(thm)],[f47])).
% 0.08/5.40  fof(f201,plain,(
% 0.08/5.40    (?[X,U]: (((![Y]: (~member(Y,universal_class)|~X=singleton(Y)))&X=U)&~member_of(X)=U))),
% 0.08/5.40    inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.08/5.40  fof(f202,plain,(
% 0.08/5.40    (((![Y]: (~member(Y,universal_class)|~sK7_skl=singleton(Y)))&sK7_skl=sK8_skl)&~member_of(sK7_skl)=sK8_skl)),
% 0.08/5.40    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(U,sK8_skl)],[f201])).
% 0.08/5.40  fof(f203,plain,(
% 0.08/5.40    ![X0]: (~member(X0,universal_class)|~sK7_skl=singleton(X0))),
% 0.08/5.40    inference(cnf_transformation,[status(thm)],[f202])).
% 0.08/5.40  fof(f204,plain,(
% 0.08/5.40    sK7_skl=sK8_skl),
% 0.08/5.40    inference(cnf_transformation,[status(thm)],[f202])).
% 0.08/5.40  fof(f205,plain,(
% 0.08/5.40    ~member_of(sK7_skl)=sK8_skl),
% 0.08/5.40    inference(cnf_transformation,[status(thm)],[f202])).
% 0.08/5.40  fof(f212,plain,(
% 0.08/5.40    ~member_of(sK7_skl)=sK7_skl),
% 0.08/5.40    inference(forward_demodulation,[status(thm)],[f204,f205])).
% 0.08/5.40  fof(f213,plain,(
% 0.08/5.40    member_of(sK7_skl)=sK7_skl|~member(member_of(sK7_skl),universal_class)),
% 0.08/5.40    inference(resolution,[status(thm)],[f200,f203])).
% 0.08/5.40  fof(f215,plain,(
% 0.08/5.40    ~member(member_of(sK7_skl),universal_class)),
% 0.08/5.40    inference(forward_subsumption_resolution,[status(thm)],[f213,f212])).
% 0.08/5.40  fof(f218,plain,(
% 0.08/5.40    member_of(sK7_skl)=sK7_skl),
% 0.08/5.40    inference(resolution,[status(thm)],[f199,f215])).
% 0.08/5.40  fof(f221,plain,(
% 0.08/5.40    $false),
% 0.08/5.40    inference(forward_subsumption_resolution,[status(thm)],[f218,f212])).
% 0.08/5.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.42  % Elapsed time: 0.044106 seconds
% 0.14/5.42  % CPU time: 0.117391 seconds
% 0.14/5.42  % Total memory used: 55.599 MB
% 0.14/5.42  % Net memory used: 55.555 MB
%------------------------------------------------------------------------------