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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GEO126-1 : 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 : n006.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 12:25:50 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.53s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45  % Computer : n006.cluster.edu
% 0.17/0.45  % Model    : x86_64 x86_64
% 0.17/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45  % Memory   : 8046.5625MB
% 0.17/0.45  % OS       : Linux 6.8.0-71-generic
% 0.17/0.45  % CPULimit : 300
% 0.17/0.45  % WCLimit  : 300
% 0.17/0.45  % DateTime : Sun Sep 20 11:58:57 UTC 2026
% 0.17/0.45  % CPUTime  : 
% 0.17/0.47  % Drodi V4.1.1
% 0.17/0.53  % Refutation found
% 0.17/0.53  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.53  % SZS output start CNFRefutation for theBenchmark
% 0.17/0.53  fof(f13,axiom,(
% 0.17/0.53    (![A,B]: (( ~ end_point(A,B)| incident_c(A,B) ) ))),
% 0.17/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.53  fof(f33,axiom,(
% 0.17/0.53    (![A]: (( ~ open(A)| end_point(ax0_sk7(A),A) ) ))),
% 0.17/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.53  fof(f41,axiom,(
% 0.17/0.53    (![A,B]: (( ~ end_point(A,B)| end_point(ax0_sk11(A,B),B) ) ))),
% 0.17/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.53  fof(f42,axiom,(
% 0.17/0.53    (![A,B]: (( ~ end_point(A,B)| A != ax0_sk11(A,B) ) ))),
% 0.17/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.53  fof(f62,axiom,(
% 0.17/0.53    (![A,B,C]: (( ~ start_point(A,B)| A = C| ~ incident_o(C,B)| ordered_by(B,A,C) ) ))),
% 0.17/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.53  fof(f73,axiom,(
% 0.17/0.53    (![A]: (open(ax2_sk3(A)) ))),
% 0.17/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.53  fof(f75,axiom,(
% 0.17/0.53    (![A,B]: (( ~ incident_c(A,ax2_sk3(B))| incident_o(A,B) ) ))),
% 0.17/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.53  fof(f83,axiom,(
% 0.17/0.53    (![A]: (start_point(ax2_sk6(A),A) ))),
% 0.17/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.53  fof(f97,negated_conjecture,(
% 0.17/0.53    (![A,B]: (( ~ ordered_by(sk25,A,B)| A = B ) ))),
% 0.17/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.53  fof(f114,plain,(
% 0.17/0.53    ![X0,X1]: (~end_point(X0,X1)|incident_c(X0,X1))),
% 0.17/0.53    inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/0.53  fof(f140,plain,(
% 0.17/0.53    ![X0]: (~open(X0)|end_point(ax0_sk7(X0),X0))),
% 0.17/0.53    inference(cnf_transformation,[status(thm)],[f33])).
% 0.17/0.53  fof(f152,plain,(
% 0.17/0.53    ![X0,X1]: (~end_point(X0,X1)|end_point(ax0_sk11(X0,X1),X1))),
% 0.17/0.53    inference(cnf_transformation,[status(thm)],[f41])).
% 0.17/0.53  fof(f153,plain,(
% 0.17/0.53    ![X0,X1]: (~end_point(X0,X1)|~X0=ax0_sk11(X0,X1))),
% 0.17/0.53    inference(cnf_transformation,[status(thm)],[f42])).
% 0.17/0.53  fof(f181,plain,(
% 0.17/0.53    ![X0,X1,X2]: (~start_point(X0,X1)|X0=X2|~incident_o(X2,X1)|ordered_by(X1,X0,X2))),
% 0.17/0.53    inference(cnf_transformation,[status(thm)],[f62])).
% 0.17/0.53  fof(f194,plain,(
% 0.17/0.53    ![X0]: (open(ax2_sk3(X0)))),
% 0.17/0.53    inference(cnf_transformation,[status(thm)],[f73])).
% 0.17/0.53  fof(f196,plain,(
% 0.17/0.53    ![X0,X1]: (~incident_c(X0,ax2_sk3(X1))|incident_o(X0,X1))),
% 0.17/0.53    inference(cnf_transformation,[status(thm)],[f75])).
% 0.17/0.53  fof(f209,plain,(
% 0.17/0.53    ![X0]: (start_point(ax2_sk6(X0),X0))),
% 0.17/0.53    inference(cnf_transformation,[status(thm)],[f83])).
% 0.17/0.53  fof(f226,plain,(
% 0.17/0.53    ![X0,X1]: (~ordered_by(sk25,X0,X1)|X0=X1)),
% 0.17/0.53    inference(cnf_transformation,[status(thm)],[f97])).
% 0.17/0.53  fof(f240,plain,(
% 0.17/0.53    ![X0]: (end_point(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)))),
% 0.17/0.53    inference(resolution,[status(thm)],[f140,f194])).
% 0.17/0.53  fof(f257,plain,(
% 0.17/0.53    ![X0,X1]: (incident_o(X0,X1)|~end_point(X0,ax2_sk3(X1)))),
% 0.17/0.53    inference(resolution,[status(thm)],[f196,f114])).
% 0.17/0.53  fof(f265,plain,(
% 0.17/0.53    ![X0]: (~ax0_sk7(ax2_sk3(X0))=ax0_sk11(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)))),
% 0.17/0.53    inference(resolution,[status(thm)],[f240,f153])).
% 0.17/0.53  fof(f269,plain,(
% 0.17/0.53    ![X0]: (incident_o(ax0_sk7(ax2_sk3(X0)),X0))),
% 0.17/0.53    inference(resolution,[status(thm)],[f257,f240])).
% 0.17/0.53  fof(f303,plain,(
% 0.17/0.53    ![X0]: (end_point(ax0_sk11(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),ax2_sk3(X0)))),
% 0.17/0.53    inference(resolution,[status(thm)],[f152,f240])).
% 0.17/0.53  fof(f386,plain,(
% 0.17/0.53    ![X0,X1]: (ax2_sk6(X0)=X1|~incident_o(X1,X0)|ordered_by(X0,ax2_sk6(X0),X1))),
% 0.17/0.53    inference(resolution,[status(thm)],[f181,f209])).
% 0.17/0.53  fof(f452,plain,(
% 0.17/0.53    ![X0]: (incident_o(ax0_sk11(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),X0))),
% 0.17/0.53    inference(resolution,[status(thm)],[f303,f257])).
% 0.17/0.53  fof(f537,plain,(
% 0.17/0.53    ![X0]: (ax2_sk6(sk25)=X0|~incident_o(X0,sk25)|ax2_sk6(sk25)=X0)),
% 0.17/0.53    inference(resolution,[status(thm)],[f386,f226])).
% 0.17/0.53  fof(f541,plain,(
% 0.17/0.53    ![X0]: (ax2_sk6(sk25)=X0|~incident_o(X0,sk25))),
% 0.17/0.53    inference(duplicate_literals_removal,[status(thm)],[f537])).
% 0.17/0.53  fof(f581,plain,(
% 0.17/0.53    ax2_sk6(sk25)=ax0_sk11(ax0_sk7(ax2_sk3(sk25)),ax2_sk3(sk25))),
% 0.17/0.53    inference(resolution,[status(thm)],[f541,f452])).
% 0.17/0.53  fof(f588,plain,(
% 0.17/0.53    ax2_sk6(sk25)=ax0_sk7(ax2_sk3(sk25))),
% 0.17/0.53    inference(resolution,[status(thm)],[f541,f269])).
% 0.17/0.53  fof(f593,plain,(
% 0.17/0.53    ax2_sk6(sk25)=ax0_sk11(ax2_sk6(sk25),ax2_sk3(sk25))),
% 0.17/0.53    inference(backward_demodulation,[status(thm)],[f588,f581])).
% 0.17/0.53  fof(f596,plain,(
% 0.17/0.53    ~ax0_sk7(ax2_sk3(sk25))=ax0_sk11(ax2_sk6(sk25),ax2_sk3(sk25))),
% 0.17/0.53    inference(paramodulation,[status(thm)],[f588,f265])).
% 0.17/0.53  fof(f603,plain,(
% 0.17/0.53    ~ax2_sk6(sk25)=ax0_sk11(ax2_sk6(sk25),ax2_sk3(sk25))),
% 0.17/0.53    inference(forward_demodulation,[status(thm)],[f588,f596])).
% 0.17/0.53  fof(f604,plain,(
% 0.17/0.53    ~ax2_sk6(sk25)=ax2_sk6(sk25)),
% 0.17/0.53    inference(forward_demodulation,[status(thm)],[f593,f603])).
% 0.17/0.53  fof(f605,plain,(
% 0.17/0.53    $false),
% 0.17/0.53    inference(trivial_equality_resolution,[status(thm)],[f604])).
% 0.17/0.53  % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.60  % Elapsed time: 0.141325 seconds
% 0.24/0.60  % CPU time: 0.337664 seconds
% 0.24/0.60  % Total memory used: 41.410 MB
% 0.24/0.60  % Net memory used: 41.146 MB
%------------------------------------------------------------------------------