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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS091+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n009.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 01:00:14 PM UTC 2026

% Result   : Unsatisfiable 0.09s 0.38s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS091+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n009.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 20 22:53:13 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.09/0.38  % Refutation found
% 0.09/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38  fof(f3,axiom,(
% 0.09/0.38    (! [X] :( cUnsatisfiable(X)<=> ( cd(X)& cc(X) ) ) )),
% 0.09/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38  fof(f4,axiom,(
% 0.09/0.38    (! [X] :( cc(X)=> ~ cd(X) ) )),
% 0.09/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38  fof(f9,axiom,(
% 0.09/0.38    cUnsatisfiable(i2003_11_14_17_20_00819) ),
% 0.09/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38  fof(f17,plain,(
% 0.09/0.38    ![X]: ((~cUnsatisfiable(X)|(cd(X)&cc(X)))&(cUnsatisfiable(X)|(~cd(X)|~cc(X))))),
% 0.09/0.38    inference(NNF_transformation,[status(thm)],[f3])).
% 0.09/0.38  fof(f18,plain,(
% 0.09/0.38    (![X]: (~cUnsatisfiable(X)|(cd(X)&cc(X))))&(![X]: (cUnsatisfiable(X)|(~cd(X)|~cc(X))))),
% 0.09/0.38    inference(miniscoping,[status(thm)],[f17])).
% 0.09/0.38  fof(f19,plain,(
% 0.09/0.38    ![X0]: (~cUnsatisfiable(X0)|cd(X0))),
% 0.09/0.38    inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.38  fof(f20,plain,(
% 0.09/0.38    ![X0]: (~cUnsatisfiable(X0)|cc(X0))),
% 0.09/0.38    inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.38  fof(f22,plain,(
% 0.09/0.38    ![X]: (~cc(X)|~cd(X))),
% 0.09/0.38    inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.38  fof(f23,plain,(
% 0.09/0.38    ![X0]: (~cc(X0)|~cd(X0))),
% 0.09/0.38    inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.38  fof(f32,plain,(
% 0.09/0.38    cUnsatisfiable(i2003_11_14_17_20_00819)),
% 0.09/0.38    inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.38  fof(f35,plain,(
% 0.09/0.38    ![X0]: (~cd(X0)|~cUnsatisfiable(X0))),
% 0.09/0.38    inference(resolution,[status(thm)],[f23,f20])).
% 0.09/0.38  fof(f36,plain,(
% 0.09/0.38    ![X0]: (~cUnsatisfiable(X0))),
% 0.09/0.38    inference(forward_subsumption_resolution,[status(thm)],[f35,f19])).
% 0.09/0.38  fof(f38,plain,(
% 0.09/0.38    $false),
% 0.09/0.38    inference(backward_subsumption_resolution,[status(thm)],[f32,f36])).
% 0.09/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.40  % Elapsed time: 0.022534 seconds
% 0.09/0.40  % CPU time: 0.069238 seconds
% 0.09/0.40  % Total memory used: 1.034 MB
% 0.09/0.40  % Net memory used: 1.026 MB
%------------------------------------------------------------------------------