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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC032-1 : 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 : n003.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 02:41:23 PM UTC 2026

% Result   : Unsatisfiable 0.12s 5.41s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/5.36  % Computer : n003.cluster.edu
% 0.07/5.36  % Model    : x86_64 x86_64
% 0.07/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.36  % Memory   : 8046.5625MB
% 0.07/5.36  % OS       : Linux 6.8.0-71-generic
% 0.07/5.36  % CPULimit : 300
% 0.07/5.36  % WCLimit  : 300
% 0.07/5.36  % DateTime : Mon Sep 21 07:52:21 UTC 2026
% 0.07/5.36  % CPUTime  : 
% 0.07/5.38  % Drodi V4.1.1
% 0.12/5.41  % Refutation found
% 0.12/5.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.41  % SZS output start CNFRefutation for theBenchmark
% 0.12/5.41  fof(f118,axiom,(
% 0.12/5.41    (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.12/5.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.41  fof(f186,negated_conjecture,(
% 0.12/5.41    ssList(sk1) ),
% 0.12/5.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.41  fof(f190,negated_conjecture,(
% 0.12/5.41    sk2 = sk4 ),
% 0.12/5.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.41  fof(f191,negated_conjecture,(
% 0.12/5.41    sk1 = sk3 ),
% 0.12/5.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.41  fof(f192,negated_conjecture,(
% 0.12/5.41    ssList(sk5) ),
% 0.12/5.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.41  fof(f193,negated_conjecture,(
% 0.12/5.41    app(sk3,sk5) = sk4 ),
% 0.12/5.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.41  fof(f196,negated_conjecture,(
% 0.12/5.41    ( nil = sk4| nil != sk3 ) ),
% 0.12/5.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.41  fof(f197,negated_conjecture,(
% 0.12/5.41    ( nil = sk2| nil = sk1 ) ),
% 0.12/5.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.41  fof(f200,negated_conjecture,(
% 0.12/5.41    ( nil != sk1| nil != sk2 ) ),
% 0.12/5.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.41  fof(f327,plain,(
% 0.12/5.41    ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.12/5.41    inference(miniscoping,[status(thm)],[f118])).
% 0.12/5.41  fof(f328,plain,(
% 0.12/5.41    ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.12/5.41    inference(cnf_transformation,[status(thm)],[f327])).
% 0.12/5.41  fof(f431,plain,(
% 0.12/5.41    ssList(sk1)),
% 0.12/5.41    inference(cnf_transformation,[status(thm)],[f186])).
% 0.12/5.41  fof(f435,plain,(
% 0.12/5.41    sk2=sk4),
% 0.12/5.41    inference(cnf_transformation,[status(thm)],[f190])).
% 0.12/5.41  fof(f436,plain,(
% 0.12/5.41    sk1=sk3),
% 0.12/5.41    inference(cnf_transformation,[status(thm)],[f191])).
% 0.12/5.41  fof(f437,plain,(
% 0.12/5.41    ssList(sk5)),
% 0.12/5.41    inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/5.41  fof(f438,plain,(
% 0.12/5.41    app(sk3,sk5)=sk4),
% 0.12/5.41    inference(cnf_transformation,[status(thm)],[f193])).
% 0.12/5.41  fof(f442,plain,(
% 0.12/5.41    nil=sk4|~nil=sk3),
% 0.12/5.41    inference(cnf_transformation,[status(thm)],[f196])).
% 0.12/5.41  fof(f443,plain,(
% 0.12/5.41    nil=sk2|nil=sk1),
% 0.12/5.41    inference(cnf_transformation,[status(thm)],[f197])).
% 0.12/5.41  fof(f446,plain,(
% 0.12/5.41    ~nil=sk1|~nil=sk2),
% 0.12/5.41    inference(cnf_transformation,[status(thm)],[f200])).
% 0.12/5.41  fof(f520,plain,(
% 0.12/5.41    app(sk1,sk5)=sk4),
% 0.12/5.41    inference(forward_demodulation,[status(thm)],[f436,f438])).
% 0.12/5.41  fof(f521,plain,(
% 0.12/5.41    app(sk1,sk5)=sk2),
% 0.12/5.41    inference(forward_demodulation,[status(thm)],[f435,f520])).
% 0.12/5.41  fof(f524,plain,(
% 0.12/5.41    nil=sk2|~nil=sk3),
% 0.12/5.41    inference(forward_demodulation,[status(thm)],[f435,f442])).
% 0.12/5.41  fof(f525,plain,(
% 0.12/5.41    nil=sk2|~nil=sk1),
% 0.12/5.41    inference(forward_demodulation,[status(thm)],[f436,f524])).
% 0.12/5.41  fof(f548,plain,(
% 0.12/5.41    app(sk1,sk5)=nil),
% 0.12/5.41    inference(backward_demodulation,[status(thm)],[f551,f521])).
% 0.12/5.41  fof(f551,plain,(
% 0.12/5.41    nil=sk2),
% 0.12/5.41    inference(forward_subsumption_resolution,[status(thm)],[f443,f525])).
% 0.12/5.41  fof(f552,plain,(
% 0.12/5.41    ~nil=sk1|~nil=nil),
% 0.12/5.41    inference(forward_demodulation,[status(thm)],[f551,f446])).
% 0.12/5.41  fof(f553,plain,(
% 0.12/5.41    ~nil=sk1),
% 0.12/5.41    inference(trivial_equality_resolution,[status(thm)],[f552])).
% 0.12/5.41  fof(f569,plain,(
% 0.12/5.41    ![X0]: (~app(X0,sk5)=nil|~ssList(X0)|nil=X0)),
% 0.12/5.41    inference(resolution,[status(thm)],[f328,f437])).
% 0.12/5.41  fof(f869,plain,(
% 0.12/5.41    ~ssList(sk1)|nil=sk1),
% 0.12/5.41    inference(resolution,[status(thm)],[f569,f548])).
% 0.12/5.41  fof(f872,plain,(
% 0.12/5.41    nil=sk1),
% 0.12/5.41    inference(forward_subsumption_resolution,[status(thm)],[f869,f431])).
% 0.12/5.41  fof(f876,plain,(
% 0.12/5.41    $false),
% 0.12/5.41    inference(forward_subsumption_resolution,[status(thm)],[f872,f553])).
% 0.12/5.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.43  % Elapsed time: 0.061600 seconds
% 0.12/5.43  % CPU time: 0.210189 seconds
% 0.12/5.43  % Total memory used: 103.253 MB
% 0.12/5.43  % Net memory used: 103.021 MB
%------------------------------------------------------------------------------