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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : FLD056-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 12:22:27 PM UTC 2026

% Result   : Unsatisfiable 0.16s 0.48s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : FLD056-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43  % Computer : n011.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Mon Sep 21 15:42:26 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.44  % Drodi V4.1.1
% 0.16/0.48  % Refutation found
% 0.16/0.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.48  % SZS output start CNFRefutation for theBenchmark
% 0.16/0.48  fof(f23,axiom,(
% 0.16/0.48    (![X,Y]: (( less_or_equal(X,Y)| less_or_equal(Y,X)| ~ defined(X)| ~ defined(Y) ) ))),
% 0.16/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48  fof(f27,hypothesis,(
% 0.16/0.48    defined(a) ),
% 0.16/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48  fof(f28,negated_conjecture,(
% 0.16/0.48    ~ less_or_equal(a,a) ),
% 0.16/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48  fof(f62,plain,(
% 0.16/0.48    ![Y]: ((![X]: ((less_or_equal(X,Y)|less_or_equal(Y,X))|~defined(X)))|~defined(Y))),
% 0.16/0.48    inference(miniscoping,[status(thm)],[f23])).
% 0.16/0.48  fof(f63,plain,(
% 0.16/0.48    ![X0,X1]: (less_or_equal(X0,X1)|less_or_equal(X1,X0)|~defined(X0)|~defined(X1))),
% 0.16/0.48    inference(cnf_transformation,[status(thm)],[f62])).
% 0.16/0.48  fof(f68,plain,(
% 0.16/0.48    defined(a)),
% 0.16/0.48    inference(cnf_transformation,[status(thm)],[f27])).
% 0.16/0.48  fof(f69,plain,(
% 0.16/0.48    ~less_or_equal(a,a)),
% 0.16/0.48    inference(cnf_transformation,[status(thm)],[f28])).
% 0.16/0.48  fof(f70,plain,(
% 0.16/0.48    ![X0]: (less_or_equal(X0,a)|less_or_equal(a,X0)|~defined(X0))),
% 0.16/0.48    inference(resolution,[status(thm)],[f63,f68])).
% 0.16/0.48  fof(f71,plain,(
% 0.16/0.48    less_or_equal(a,a)|less_or_equal(a,a)),
% 0.16/0.48    inference(resolution,[status(thm)],[f70,f68])).
% 0.16/0.48  fof(f72,definition,(
% 0.16/0.48    sQ0_spl <=> (less_or_equal(a,a))),
% 0.16/0.48    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.48  fof(f73,plain,(
% 0.16/0.48    less_or_equal(a,a)|~sQ0_spl),
% 0.16/0.48    inference(component_clause,[status(thm)],[f72])).
% 0.16/0.48  fof(f75,plain,(
% 0.16/0.48    sQ0_spl),
% 0.16/0.48    inference(split_clause,[status(thm)],[f71,f72])).
% 0.16/0.48  fof(f76,plain,(
% 0.16/0.48    $false|~sQ0_spl),
% 0.16/0.48    inference(forward_subsumption_resolution,[status(thm)],[f73,f69])).
% 0.16/0.48  fof(f77,plain,(
% 0.16/0.48    ~sQ0_spl),
% 0.16/0.48    inference(contradiction_clause,[status(thm)],[f76])).
% 0.16/0.48  fof(f78,plain,(
% 0.16/0.48    $false),
% 0.16/0.48    inference(sat_refutation,[status(thm)],[f75,f77])).
% 0.16/0.48  % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.50  % Elapsed time: 0.066132 seconds
% 0.22/0.50  % CPU time: 0.147191 seconds
% 0.22/0.50  % Total memory used: 17.292 MB
% 0.22/0.50  % Net memory used: 17.013 MB
%------------------------------------------------------------------------------