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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GEO117-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 12:25:48 PM UTC 2026

% Result   : Unsatisfiable 0.09s 0.44s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO117-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n001.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 11:45:41 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.09/0.44  % Refutation found
% 0.09/0.44  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.44  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.44  fof(f49,axiom,(
% 0.09/0.44    (![A,B,C,D]: (( ~ between_c(A,B,C,D)| B != D ) ))),
% 0.09/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44  fof(f59,axiom,(
% 0.09/0.44    (![A,B,C,D]: (( ~ ordered_by(A,B,C)| ~ ordered_by(A,C,D)| between_o(A,B,C,D) ) ))),
% 0.09/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44  fof(f78,axiom,(
% 0.09/0.44    (![A,B,C,D]: (( ~ between_o(A,B,C,D)| between_c(ax2_sk4(A,D,C,B),B,C,D) ) ))),
% 0.09/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44  fof(f97,negated_conjecture,(
% 0.09/0.44    ordered_by(sk25,sk26,sk26) ),
% 0.09/0.44    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.44  fof(f162,plain,(
% 0.09/0.44    ![B,D]: ((![A,C]: ~between_c(A,B,C,D))|~B=D)),
% 0.09/0.44    inference(miniscoping,[status(thm)],[f49])).
% 0.09/0.44  fof(f163,plain,(
% 0.09/0.44    ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~X1=X3)),
% 0.09/0.44    inference(cnf_transformation,[status(thm)],[f162])).
% 0.09/0.44  fof(f178,plain,(
% 0.09/0.44    ![X0,X1,X2,X3]: (~ordered_by(X0,X1,X2)|~ordered_by(X0,X2,X3)|between_o(X0,X1,X2,X3))),
% 0.09/0.44    inference(cnf_transformation,[status(thm)],[f59])).
% 0.09/0.44  fof(f200,plain,(
% 0.09/0.44    ![X0,X1,X2,X3]: (~between_o(X0,X1,X2,X3)|between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3))),
% 0.09/0.44    inference(cnf_transformation,[status(thm)],[f78])).
% 0.09/0.44  fof(f226,plain,(
% 0.09/0.44    ordered_by(sk25,sk26,sk26)),
% 0.09/0.44    inference(cnf_transformation,[status(thm)],[f97])).
% 0.09/0.44  fof(f231,plain,(
% 0.09/0.44    ![X0,X1,X2]: (~between_c(X0,X1,X2,X1))),
% 0.09/0.44    inference(destructive_equality_resolution,[status(thm)],[f163])).
% 0.09/0.44  fof(f348,plain,(
% 0.09/0.44    ![X0]: (~ordered_by(sk25,sk26,X0)|between_o(sk25,sk26,sk26,X0))),
% 0.09/0.44    inference(resolution,[status(thm)],[f178,f226])).
% 0.09/0.44  fof(f349,plain,(
% 0.09/0.44    between_o(sk25,sk26,sk26,sk26)),
% 0.09/0.44    inference(resolution,[status(thm)],[f348,f226])).
% 0.09/0.44  fof(f352,plain,(
% 0.09/0.44    between_c(ax2_sk4(sk25,sk26,sk26,sk26),sk26,sk26,sk26)),
% 0.09/0.44    inference(resolution,[status(thm)],[f200,f349])).
% 0.09/0.44  fof(f353,plain,(
% 0.09/0.44    $false),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f352,f231])).
% 0.09/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46  % Elapsed time: 0.092113 seconds
% 0.09/0.46  % CPU time: 0.466313 seconds
% 0.09/0.46  % Total memory used: 88.324 MB
% 0.09/0.46  % Net memory used: 87.767 MB
%------------------------------------------------------------------------------