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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : BOO018-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n014.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 12:06:46 PM UTC 2026

% Result   : Unsatisfiable 0.16s 0.44s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : BOO018-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42  % Computer : n014.cluster.edu
% 0.16/0.42  % Model    : x86_64 x86_64
% 0.16/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42  % Memory   : 8046.5625MB
% 0.16/0.42  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Mon Sep 21 13:48:20 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.43  % Drodi V4.1.1
% 0.16/0.44  % Refutation found
% 0.16/0.44  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.44  % SZS output start CNFRefutation for theBenchmark
% 0.16/0.44  fof(f2,axiom,(
% 0.16/0.44    (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f6,axiom,(
% 0.16/0.44    (![X]: (multiply(X,multiplicative_identity) = X ))),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f8,axiom,(
% 0.16/0.44    (![X]: (multiply(X,inverse(X)) = additive_identity ))),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f9,negated_conjecture,(
% 0.16/0.44    inverse(multiplicative_identity) != additive_identity ),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f11,plain,(
% 0.16/0.44    ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.16/0.44    inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.44  fof(f15,plain,(
% 0.16/0.44    ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 0.16/0.44    inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.44  fof(f17,plain,(
% 0.16/0.44    ![X0]: (multiply(X0,inverse(X0))=additive_identity)),
% 0.16/0.44    inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/0.44  fof(f18,plain,(
% 0.16/0.44    ~inverse(multiplicative_identity)=additive_identity),
% 0.16/0.44    inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.44  fof(f39,plain,(
% 0.16/0.44    ![X0]: (X0=multiply(multiplicative_identity,X0))),
% 0.16/0.44    inference(paramodulation,[status(thm)],[f15,f11])).
% 0.16/0.44  fof(f47,plain,(
% 0.16/0.44    inverse(multiplicative_identity)=additive_identity),
% 0.16/0.44    inference(paramodulation,[status(thm)],[f17,f39])).
% 0.16/0.44  fof(f55,plain,(
% 0.16/0.44    $false),
% 0.16/0.44    inference(forward_subsumption_resolution,[status(thm)],[f47,f18])).
% 0.16/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 1.35/1.68  % Elapsed time: 1.034089 seconds
% 1.35/1.68  % CPU time: 0.021812 seconds
% 1.35/1.68  % Total memory used: 215.616 KB
% 1.35/1.68  % Net memory used: 215.344 KB
%------------------------------------------------------------------------------