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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC043-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.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 02:41:25 PM UTC 2026

% Result   : Unsatisfiable 0.11s 0.56s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC043-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.51  % Computer : n017.cluster.edu
% 0.11/0.51  % Model    : x86_64 x86_64
% 0.11/0.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.51  % Memory   : 8046.5625MB
% 0.11/0.51  % OS       : Linux 6.8.0-71-generic
% 0.11/0.51  % CPULimit : 300
% 0.11/0.51  % WCLimit  : 300
% 0.11/0.51  % DateTime : Mon Sep 21 07:46:57 UTC 2026
% 0.11/0.51  % CPUTime  : 
% 0.11/0.53  % Drodi V4.1.1
% 0.11/0.56  % Refutation found
% 0.11/0.56  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.56  % SZS output start CNFRefutation for theBenchmark
% 0.11/0.56  fof(f118,axiom,(
% 0.11/0.56    (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.11/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.56  fof(f186,negated_conjecture,(
% 0.11/0.56    ssList(sk1) ),
% 0.11/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.56  fof(f190,negated_conjecture,(
% 0.11/0.56    nil = sk2 ),
% 0.11/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.56  fof(f191,negated_conjecture,(
% 0.11/0.56    sk2 = sk4 ),
% 0.11/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.56  fof(f192,negated_conjecture,(
% 0.11/0.56    sk1 = sk3 ),
% 0.11/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.56  fof(f193,negated_conjecture,(
% 0.11/0.56    nil != sk1 ),
% 0.11/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.56  fof(f194,negated_conjecture,(
% 0.11/0.56    ssList(sk5) ),
% 0.11/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.56  fof(f195,negated_conjecture,(
% 0.11/0.56    app(sk3,sk5) = sk4 ),
% 0.11/0.56    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.56  fof(f325,plain,(
% 0.11/0.56    ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.11/0.56    inference(miniscoping,[status(thm)],[f118])).
% 0.11/0.56  fof(f326,plain,(
% 0.11/0.56    ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.11/0.56    inference(cnf_transformation,[status(thm)],[f325])).
% 0.11/0.56  fof(f429,plain,(
% 0.11/0.56    ssList(sk1)),
% 0.11/0.56    inference(cnf_transformation,[status(thm)],[f186])).
% 0.11/0.56  fof(f433,plain,(
% 0.11/0.56    nil=sk2),
% 0.11/0.56    inference(cnf_transformation,[status(thm)],[f190])).
% 0.11/0.56  fof(f434,plain,(
% 0.11/0.56    sk2=sk4),
% 0.11/0.56    inference(cnf_transformation,[status(thm)],[f191])).
% 0.11/0.56  fof(f435,plain,(
% 0.11/0.56    sk1=sk3),
% 0.11/0.56    inference(cnf_transformation,[status(thm)],[f192])).
% 0.11/0.56  fof(f436,plain,(
% 0.11/0.56    ~nil=sk1),
% 0.11/0.56    inference(cnf_transformation,[status(thm)],[f193])).
% 0.11/0.56  fof(f437,plain,(
% 0.11/0.56    ssList(sk5)),
% 0.11/0.56    inference(cnf_transformation,[status(thm)],[f194])).
% 0.11/0.56  fof(f438,plain,(
% 0.11/0.56    app(sk3,sk5)=sk4),
% 0.11/0.56    inference(cnf_transformation,[status(thm)],[f195])).
% 0.11/0.56  fof(f486,plain,(
% 0.11/0.56    nil=sk4),
% 0.11/0.56    inference(forward_demodulation,[status(thm)],[f433,f434])).
% 0.11/0.56  fof(f514,plain,(
% 0.11/0.56    app(sk1,sk5)=sk4),
% 0.11/0.56    inference(forward_demodulation,[status(thm)],[f435,f438])).
% 0.11/0.56  fof(f515,plain,(
% 0.11/0.56    app(sk1,sk5)=nil),
% 0.11/0.56    inference(forward_demodulation,[status(thm)],[f486,f514])).
% 0.11/0.56  fof(f554,plain,(
% 0.11/0.56    ![X0]: (~app(X0,sk5)=nil|~ssList(X0)|nil=X0)),
% 0.11/0.56    inference(resolution,[status(thm)],[f326,f437])).
% 0.11/0.56  fof(f668,plain,(
% 0.11/0.56    ~ssList(sk1)|nil=sk1),
% 0.11/0.56    inference(resolution,[status(thm)],[f554,f515])).
% 0.11/0.56  fof(f671,plain,(
% 0.11/0.56    nil=sk1),
% 0.11/0.56    inference(forward_subsumption_resolution,[status(thm)],[f668,f429])).
% 0.11/0.56  fof(f674,plain,(
% 0.11/0.56    $false),
% 0.11/0.56    inference(forward_subsumption_resolution,[status(thm)],[f671,f436])).
% 0.11/0.56  % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.58  % Elapsed time: 0.059374 seconds
% 0.17/0.58  % CPU time: 0.158462 seconds
% 0.17/0.58  % Total memory used: 68.598 MB
% 0.17/0.58  % Net memory used: 68.485 MB
%------------------------------------------------------------------------------