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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET063+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n020.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 02:11:24 PM UTC 2026

% Result   : Theorem 0.09s 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET063+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n020.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 04:49:50 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.09/0.39  % Refutation found
% 0.09/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39  fof(f1,axiom,(
% 0.09/0.39    (! [B] : subset(empty_set,B) )),
% 0.09/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39  fof(f4,axiom,(
% 0.09/0.39    (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.09/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39  fof(f7,conjecture,(
% 0.09/0.39    (! [B] :( subset(B,empty_set)=> B = empty_set ) )),
% 0.09/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39  fof(f8,negated_conjecture,(
% 0.09/0.39    ~((! [B] :( subset(B,empty_set)=> B = empty_set ) ))),
% 0.09/0.39    inference(negated_conjecture,[status(cth)],[f7])).
% 0.09/0.39  fof(f9,plain,(
% 0.09/0.39    ![X0]: (subset(empty_set,X0))),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.39  fof(f18,plain,(
% 0.09/0.39    ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.09/0.39    inference(NNF_transformation,[status(thm)],[f4])).
% 0.09/0.39  fof(f19,plain,(
% 0.09/0.39    (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.09/0.39    inference(miniscoping,[status(thm)],[f18])).
% 0.09/0.39  fof(f22,plain,(
% 0.09/0.39    ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.39  fof(f29,plain,(
% 0.09/0.39    (?[B]: (subset(B,empty_set)&~B=empty_set))),
% 0.09/0.39    inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.39  fof(f30,plain,(
% 0.09/0.39    (subset(sK2_skl,empty_set)&~sK2_skl=empty_set)),
% 0.09/0.39    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(B,sK2_skl)],[f29])).
% 0.09/0.39  fof(f31,plain,(
% 0.09/0.39    subset(sK2_skl,empty_set)),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.39  fof(f32,plain,(
% 0.09/0.39    ~sK2_skl=empty_set),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.39  fof(f35,plain,(
% 0.09/0.39    ![X0]: (X0=empty_set|~subset(X0,empty_set))),
% 0.09/0.39    inference(resolution,[status(thm)],[f22,f9])).
% 0.09/0.39  fof(f40,plain,(
% 0.09/0.39    sK2_skl=empty_set),
% 0.09/0.39    inference(resolution,[status(thm)],[f35,f31])).
% 0.09/0.39  fof(f42,plain,(
% 0.09/0.39    $false),
% 0.09/0.39    inference(forward_subsumption_resolution,[status(thm)],[f40,f32])).
% 0.09/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43  % Elapsed time: 0.063039 seconds
% 0.13/0.43  % CPU time: 0.196922 seconds
% 0.13/0.43  % Total memory used: 74.855 MB
% 0.13/0.43  % Net memory used: 74.376 MB
%------------------------------------------------------------------------------