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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC331-1 : 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 : n018.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 02:42:11 PM UTC 2026

% Result   : Unsatisfiable 3.89s 0.95s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC331-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n018.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 08:18:14 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.37  % Drodi V4.1.1
% 3.89/0.95  % Refutation found
% 3.89/0.95  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.89/0.95  % SZS output start CNFRefutation for theBenchmark
% 3.89/0.95  fof(f8,axiom,(
% 3.89/0.95    ssList(nil) ),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f57,axiom,(
% 3.89/0.95    (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f74,axiom,(
% 3.89/0.95    (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f172,axiom,(
% 3.89/0.95    (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f186,negated_conjecture,(
% 3.89/0.95    ssList(sk1) ),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f190,negated_conjecture,(
% 3.89/0.95    sk2 = sk4 ),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f191,negated_conjecture,(
% 3.89/0.95    sk1 = sk3 ),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f192,negated_conjecture,(
% 3.89/0.95    ssList(sk5) ),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f193,negated_conjecture,(
% 3.89/0.95    app(sk3,sk5) = sk4 ),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f194,negated_conjecture,(
% 3.89/0.95    equalelemsP(sk3) ),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f197,negated_conjecture,(
% 3.89/0.95    ( ~ segmentP(sk2,sk1)| ~ equalelemsP(sk1) ) ),
% 3.89/0.95    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.89/0.95  fof(f205,plain,(
% 3.89/0.95    ssList(nil)),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f8])).
% 3.89/0.95  fof(f254,plain,(
% 3.89/0.95    ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f57])).
% 3.89/0.95  fof(f272,plain,(
% 3.89/0.95    ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f74])).
% 3.89/0.95  fof(f402,plain,(
% 3.89/0.95    ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f172])).
% 3.89/0.95  fof(f428,plain,(
% 3.89/0.95    ssList(sk1)),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f186])).
% 3.89/0.95  fof(f432,plain,(
% 3.89/0.95    sk2=sk4),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f190])).
% 3.89/0.95  fof(f433,plain,(
% 3.89/0.95    sk1=sk3),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f191])).
% 3.89/0.95  fof(f434,plain,(
% 3.89/0.95    ssList(sk5)),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f192])).
% 3.89/0.95  fof(f435,plain,(
% 3.89/0.95    app(sk3,sk5)=sk4),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f193])).
% 3.89/0.95  fof(f436,plain,(
% 3.89/0.95    equalelemsP(sk3)),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f194])).
% 3.89/0.95  fof(f440,plain,(
% 3.89/0.95    ~segmentP(sk2,sk1)|~equalelemsP(sk1)),
% 3.89/0.95    inference(cnf_transformation,[status(thm)],[f197])).
% 3.89/0.95  fof(f474,plain,(
% 3.89/0.95    app(sk1,sk5)=sk4),
% 3.89/0.95    inference(forward_demodulation,[status(thm)],[f433,f435])).
% 3.89/0.95  fof(f475,plain,(
% 3.89/0.95    app(sk1,sk5)=sk2),
% 3.89/0.95    inference(forward_demodulation,[status(thm)],[f432,f474])).
% 3.89/0.95  fof(f476,plain,(
% 3.89/0.95    equalelemsP(sk1)),
% 3.89/0.95    inference(forward_demodulation,[status(thm)],[f433,f436])).
% 3.89/0.95  fof(f480,plain,(
% 3.89/0.95    ~segmentP(sk2,sk1)),
% 3.89/0.95    inference(forward_subsumption_resolution,[status(thm)],[f440,f476])).
% 3.89/0.95  fof(f482,plain,(
% 3.89/0.95    app(nil,sk1)=sk1),
% 3.89/0.95    inference(resolution,[status(thm)],[f272,f428])).
% 3.89/0.95  fof(f891,plain,(
% 3.89/0.95    ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2)|~ssList(X2))),
% 3.89/0.95    inference(resolution,[status(thm)],[f402,f254])).
% 3.89/0.95  fof(f894,plain,(
% 3.89/0.95    ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 3.89/0.95    inference(duplicate_literals_removal,[status(thm)],[f891])).
% 3.89/0.95  fof(f918,plain,(
% 3.89/0.95    ![X0,X1]: (~ssList(X0)|~ssList(X1)|segmentP(app(app(nil,X1),X0),X1))),
% 3.89/0.95    inference(resolution,[status(thm)],[f894,f205])).
% 3.89/0.95  fof(f1151,plain,(
% 3.89/0.95    ![X0]: (~ssList(X0)|segmentP(app(app(nil,sk1),X0),sk1))),
% 3.89/0.95    inference(resolution,[status(thm)],[f918,f428])).
% 3.89/0.95  fof(f1158,plain,(
% 3.89/0.95    ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1))),
% 3.89/0.95    inference(forward_demodulation,[status(thm)],[f482,f1151])).
% 3.89/0.95  fof(f1194,plain,(
% 3.89/0.95    ~ssList(sk5)|segmentP(sk2,sk1)),
% 3.89/0.95    inference(paramodulation,[status(thm)],[f475,f1158])).
% 3.89/0.95  fof(f1200,plain,(
% 3.89/0.95    segmentP(sk2,sk1)),
% 3.89/0.95    inference(forward_subsumption_resolution,[status(thm)],[f1194,f434])).
% 3.89/0.97  fof(f1201,plain,(
% 3.89/0.97    $false),
% 3.89/0.97    inference(backward_subsumption_resolution,[status(thm)],[f480,f1200])).
% 3.89/0.97  % SZS output end CNFRefutation for theBenchmark.p
% 3.89/0.98  % Elapsed time: 0.612071 seconds
% 3.89/0.98  % CPU time: 4.490013 seconds
% 3.89/0.98  % Total memory used: 194.012 MB
% 3.89/0.98  % Net memory used: 189.040 MB
%------------------------------------------------------------------------------