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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : CAT003-3 : 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 : n018.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 12:07:41 PM UTC 2026

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CAT003-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40  % Computer : n018.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Mon Sep 21 13:57:29 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 0.18/0.43  % Drodi V4.1.1
% 0.18/0.45  % Refutation found
% 0.18/0.45  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.45  % SZS output start CNFRefutation for theBenchmark
% 0.18/0.45  fof(f9,axiom,(
% 0.18/0.45    (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.18/0.45    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45  fof(f19,hypothesis,(
% 0.18/0.45    (![X,Y,Z]: (( compose(X,compose(a,b)) != Y| compose(Z,compose(a,b)) != Y| X = Z ) ))),
% 0.18/0.45    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45  fof(f21,hypothesis,(
% 0.18/0.45    compose(h,a) = compose(g,a) ),
% 0.18/0.45    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45  fof(f22,negated_conjecture,(
% 0.18/0.45    g != h ),
% 0.18/0.45    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.45  fof(f33,plain,(
% 0.18/0.45    ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.18/0.45    inference(cnf_transformation,[status(thm)],[f9])).
% 0.18/0.45  fof(f45,plain,(
% 0.18/0.45    ![X,Z]: ((![Y]: (~compose(X,compose(a,b))=Y|~compose(Z,compose(a,b))=Y))|X=Z)),
% 0.18/0.45    inference(miniscoping,[status(thm)],[f19])).
% 0.18/0.45  fof(f46,plain,(
% 0.18/0.45    ![X0,X1,X2]: (~compose(X0,compose(a,b))=X1|~compose(X2,compose(a,b))=X1|X0=X2)),
% 0.18/0.45    inference(cnf_transformation,[status(thm)],[f45])).
% 0.18/0.45  fof(f48,plain,(
% 0.18/0.45    compose(h,a)=compose(g,a)),
% 0.18/0.45    inference(cnf_transformation,[status(thm)],[f21])).
% 0.18/0.45  fof(f49,plain,(
% 0.18/0.45    ~g=h),
% 0.18/0.45    inference(cnf_transformation,[status(thm)],[f22])).
% 0.18/0.45  fof(f53,plain,(
% 0.18/0.45    ![X0,X1]: (~compose(X0,compose(a,b))=compose(X1,compose(a,b))|X1=X0)),
% 0.18/0.45    inference(destructive_equality_resolution,[status(thm)],[f46])).
% 0.18/0.45  fof(f67,plain,(
% 0.18/0.45    ![X0]: (compose(g,compose(a,X0))=compose(compose(h,a),X0))),
% 0.18/0.45    inference(paramodulation,[status(thm)],[f48,f33])).
% 0.18/0.45  fof(f74,plain,(
% 0.18/0.45    ![X0]: (compose(g,compose(a,X0))=compose(h,compose(a,X0)))),
% 0.18/0.45    inference(forward_demodulation,[status(thm)],[f33,f67])).
% 0.18/0.45  fof(f108,plain,(
% 0.18/0.45    h=g),
% 0.18/0.45    inference(resolution,[status(thm)],[f53,f74])).
% 0.18/0.45  fof(f117,plain,(
% 0.18/0.45    $false),
% 0.18/0.45    inference(forward_subsumption_resolution,[status(thm)],[f108,f49])).
% 0.18/0.45  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.48  % Elapsed time: 0.055948 seconds
% 0.18/0.48  % CPU time: 0.125498 seconds
% 0.18/0.48  % Total memory used: 16.286 MB
% 0.18/0.48  % Net memory used: 16.238 MB
%------------------------------------------------------------------------------