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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GRP143-1 : 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 : n002.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 12:36:06 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  : GRP143-1 : 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 : n002.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 : Sun Sep 20 20:05:01 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(f4,axiom,(
% 0.16/0.44    (![X,Y]: (greatest_lower_bound(X,Y) = greatest_lower_bound(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,Y,Z]: (greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z) ))),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f9,axiom,(
% 0.16/0.44    (![X]: (greatest_lower_bound(X,X) = X ))),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f16,negated_conjecture,(
% 0.16/0.44    greatest_lower_bound(greatest_lower_bound(a,b),a) != greatest_lower_bound(a,b) ),
% 0.16/0.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.44  fof(f20,plain,(
% 0.16/0.44    ![X0,X1]: (greatest_lower_bound(X0,X1)=greatest_lower_bound(X1,X0))),
% 0.16/0.44    inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.44  fof(f22,plain,(
% 0.16/0.44    ![X0,X1,X2]: (greatest_lower_bound(X0,greatest_lower_bound(X1,X2))=greatest_lower_bound(greatest_lower_bound(X0,X1),X2))),
% 0.16/0.44    inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.44  fof(f25,plain,(
% 0.16/0.44    ![X0]: (greatest_lower_bound(X0,X0)=X0)),
% 0.16/0.44    inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.44  fof(f32,plain,(
% 0.16/0.44    ~greatest_lower_bound(greatest_lower_bound(a,b),a)=greatest_lower_bound(a,b)),
% 0.16/0.44    inference(cnf_transformation,[status(thm)],[f16])).
% 0.16/0.44  fof(f36,plain,(
% 0.16/0.44    ~greatest_lower_bound(a,greatest_lower_bound(b,a))=greatest_lower_bound(a,b)),
% 0.16/0.44    inference(forward_demodulation,[status(thm)],[f22,f32])).
% 0.16/0.44  fof(f52,plain,(
% 0.16/0.44    ![X0,X1]: (greatest_lower_bound(X0,greatest_lower_bound(X0,X1))=greatest_lower_bound(X0,X1))),
% 0.16/0.44    inference(paramodulation,[status(thm)],[f25,f22])).
% 0.16/0.44  fof(f57,plain,(
% 0.16/0.44    ![X0,X1]: (greatest_lower_bound(X0,greatest_lower_bound(X1,X0))=greatest_lower_bound(X0,X1))),
% 0.16/0.44    inference(paramodulation,[status(thm)],[f20,f52])).
% 0.16/0.44  fof(f65,plain,(
% 0.16/0.44    ~greatest_lower_bound(a,b)=greatest_lower_bound(a,b)),
% 0.16/0.44    inference(backward_demodulation,[status(thm)],[f57,f36])).
% 0.16/0.44  fof(f71,plain,(
% 0.16/0.44    $false),
% 0.16/0.44    inference(trivial_equality_resolution,[status(thm)],[f65])).
% 0.16/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.47  % Elapsed time: 0.033745 seconds
% 0.16/0.47  % CPU time: 0.051427 seconds
% 0.16/0.47  % Total memory used: 1.151 MB
% 0.16/0.47  % Net memory used: 1.143 MB
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