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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GRP151-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 12:36:07 PM UTC 2026

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

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : GRP151-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  % Computer : n020.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Sun Sep 20 20:03:17 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.46  % Drodi V4.1.1
% 0.18/0.48  % Refutation found
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.48  % SZS output start CNFRefutation for theBenchmark
% 0.18/0.48  fof(f5,axiom,(
% 0.18/0.48    (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 0.18/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f11,axiom,(
% 0.18/0.48    (![X,Y]: (greatest_lower_bound(X,least_upper_bound(X,Y)) = X ))),
% 0.18/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f16,negated_conjecture,(
% 0.18/0.48    greatest_lower_bound(a,least_upper_bound(a,b)) != a ),
% 0.18/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f21,plain,(
% 0.18/0.48    ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.48  fof(f27,plain,(
% 0.18/0.48    ![X0,X1]: (greatest_lower_bound(X0,least_upper_bound(X0,X1))=X0)),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f11])).
% 0.18/0.48  fof(f32,plain,(
% 0.18/0.48    ~greatest_lower_bound(a,least_upper_bound(a,b))=a),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f16])).
% 0.18/0.48  fof(f33,definition,(
% 0.18/0.48    sF1_fnc=least_upper_bound(a,b)),
% 0.18/0.48    introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.18/0.48  fof(f34,definition,(
% 0.18/0.48    sF0_fnc=greatest_lower_bound(a,sF1_fnc)),
% 0.18/0.48    introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.18/0.48  fof(f35,plain,(
% 0.18/0.48    ~sF0_fnc=a),
% 0.18/0.48    inference(definition_folding,[],[f32,f34,f33])).
% 0.18/0.48  fof(f36,plain,(
% 0.18/0.48    sF1_fnc=least_upper_bound(b,a)),
% 0.18/0.48    inference(forward_demodulation,[status(thm)],[f21,f33])).
% 0.18/0.48  fof(f72,plain,(
% 0.18/0.48    ![X0,X1]: (greatest_lower_bound(X0,least_upper_bound(X1,X0))=X0)),
% 0.18/0.48    inference(paramodulation,[status(thm)],[f21,f27])).
% 0.18/0.48  fof(f78,plain,(
% 0.18/0.48    greatest_lower_bound(a,sF1_fnc)=a),
% 0.18/0.48    inference(paramodulation,[status(thm)],[f36,f72])).
% 0.18/0.48  fof(f88,plain,(
% 0.18/0.48    sF0_fnc=a),
% 0.18/0.48    inference(backward_demodulation,[status(thm)],[f78,f34])).
% 0.18/0.48  fof(f92,plain,(
% 0.18/0.48    $false),
% 0.18/0.48    inference(forward_subsumption_resolution,[status(thm)],[f88,f35])).
% 0.18/0.48  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.51  % Elapsed time: 0.054819 seconds
% 0.18/0.51  % CPU time: 0.034723 seconds
% 0.18/0.51  % Total memory used: 259.376 KB
% 0.18/0.51  % Net memory used: 258.288 KB
%------------------------------------------------------------------------------