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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 02:05:07 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43  % Computer : n005.cluster.edu
% 0.19/0.43  % Model    : x86_64 x86_64
% 0.19/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43  % Memory   : 8046.5625MB
% 0.19/0.43  % OS       : Linux 6.8.0-71-generic
% 0.19/0.43  % CPULimit : 300
% 0.19/0.43  % WCLimit  : 300
% 0.19/0.43  % DateTime : Mon Sep 21 04:10:32 UTC 2026
% 0.19/0.44  % CPUTime  : 
% 0.19/0.44  % Drodi V4.1.1
% 0.19/0.45  % Refutation found
% 0.19/0.45  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45  % SZS output start CNFRefutation for theBenchmark
% 0.19/0.45  fof(f21,axiom,(
% 0.19/0.45    (![X,Y]: (multiply(multiply(associator(X,X,Y),X),associator(X,X,Y)) = additive_identity ))),
% 0.19/0.45    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f22,negated_conjecture,(
% 0.19/0.45    multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity ),
% 0.19/0.45    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45  fof(f43,plain,(
% 0.19/0.45    ![X0,X1]: (multiply(multiply(associator(X0,X0,X1),X0),associator(X0,X0,X1))=additive_identity)),
% 0.19/0.45    inference(cnf_transformation,[status(thm)],[f21])).
% 0.19/0.45  fof(f44,plain,(
% 0.19/0.45    ~multiply(multiply(associator(a,a,b),a),associator(a,a,b))=additive_identity),
% 0.19/0.45    inference(cnf_transformation,[status(thm)],[f22])).
% 0.19/0.45  fof(f50,plain,(
% 0.19/0.45    ~additive_identity=additive_identity),
% 0.19/0.45    inference(forward_demodulation,[status(thm)],[f43,f44])).
% 0.19/0.45  fof(f51,plain,(
% 0.19/0.45    $false),
% 0.19/0.45    inference(trivial_equality_resolution,[status(thm)],[f50])).
% 0.19/0.45  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.47  % Elapsed time: 0.025709 seconds
% 0.19/0.47  % CPU time: 0.035733 seconds
% 0.19/0.47  % Total memory used: 1.116 MB
% 0.19/0.47  % Net memory used: 1.061 MB
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