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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC116-1 : 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 : n014.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 02:41:38 PM UTC 2026

% Result   : Unsatisfiable 0.15s 0.49s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWC116-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43  % Computer : n014.cluster.edu
% 0.15/0.43  % Model    : x86_64 x86_64
% 0.15/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43  % Memory   : 8046.5625MB
% 0.15/0.43  % OS       : Linux 6.8.0-71-generic
% 0.15/0.43  % CPULimit : 300
% 0.15/0.43  % WCLimit  : 300
% 0.15/0.43  % DateTime : Mon Sep 21 07:56:49 UTC 2026
% 0.15/0.43  % CPUTime  : 
% 0.15/0.46  % Drodi V4.1.1
% 0.15/0.49  % Refutation found
% 0.15/0.49  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.49  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.49  fof(f8,axiom,(
% 0.15/0.49    ssList(nil) ),
% 0.15/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49  fof(f100,axiom,(
% 0.15/0.49    (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.15/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49  fof(f187,negated_conjecture,(
% 0.15/0.49    ssList(sk2) ),
% 0.15/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49  fof(f190,negated_conjecture,(
% 0.15/0.49    sk2 = sk4 ),
% 0.15/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49  fof(f191,negated_conjecture,(
% 0.15/0.49    sk1 = sk3 ),
% 0.15/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49  fof(f192,negated_conjecture,(
% 0.15/0.49    ( nil = sk3| nil != sk4 ) ),
% 0.15/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49  fof(f193,negated_conjecture,(
% 0.15/0.49    ( nil != sk2| nil != sk1 ) ),
% 0.15/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49  fof(f194,negated_conjecture,(
% 0.15/0.49    ( ~ neq(sk1,nil)| ~ segmentP(sk2,sk1) ) ),
% 0.15/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49  fof(f195,negated_conjecture,(
% 0.15/0.49    ( ~ neq(sk4,nil)| neq(sk3,nil) ) ),
% 0.15/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49  fof(f196,negated_conjecture,(
% 0.15/0.49    ( ~ neq(sk4,nil)| segmentP(sk4,sk3) ) ),
% 0.15/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.49  fof(f204,plain,(
% 0.15/0.49    ssList(nil)),
% 0.15/0.49    inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.49  fof(f299,plain,(
% 0.15/0.49    ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.15/0.49    inference(cnf_transformation,[status(thm)],[f100])).
% 0.15/0.49  fof(f428,plain,(
% 0.15/0.49    ssList(sk2)),
% 0.15/0.49    inference(cnf_transformation,[status(thm)],[f187])).
% 0.15/0.49  fof(f431,plain,(
% 0.15/0.49    sk2=sk4),
% 0.15/0.49    inference(cnf_transformation,[status(thm)],[f190])).
% 0.15/0.49  fof(f432,plain,(
% 0.15/0.49    sk1=sk3),
% 0.15/0.49    inference(cnf_transformation,[status(thm)],[f191])).
% 0.15/0.49  fof(f433,plain,(
% 0.15/0.49    nil=sk3|~nil=sk4),
% 0.15/0.49    inference(cnf_transformation,[status(thm)],[f192])).
% 0.15/0.49  fof(f434,plain,(
% 0.15/0.49    ~nil=sk2|~nil=sk1),
% 0.15/0.49    inference(cnf_transformation,[status(thm)],[f193])).
% 0.15/0.49  fof(f435,plain,(
% 0.15/0.49    ~neq(sk1,nil)|~segmentP(sk2,sk1)),
% 0.15/0.49    inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/0.49  fof(f436,plain,(
% 0.15/0.49    ~neq(sk4,nil)|neq(sk3,nil)),
% 0.15/0.49    inference(cnf_transformation,[status(thm)],[f195])).
% 0.15/0.49  fof(f437,plain,(
% 0.15/0.49    ~neq(sk4,nil)|segmentP(sk4,sk3)),
% 0.15/0.49    inference(cnf_transformation,[status(thm)],[f196])).
% 0.15/0.49  fof(f471,plain,(
% 0.15/0.49    nil=sk1|~nil=sk4),
% 0.15/0.49    inference(forward_demodulation,[status(thm)],[f432,f433])).
% 0.15/0.49  fof(f472,plain,(
% 0.15/0.49    nil=sk1|~nil=sk2),
% 0.15/0.49    inference(forward_demodulation,[status(thm)],[f431,f471])).
% 0.15/0.49  fof(f488,plain,(
% 0.15/0.49    ~nil=sk2),
% 0.15/0.49    inference(forward_subsumption_resolution,[status(thm)],[f434,f472])).
% 0.15/0.49  fof(f489,plain,(
% 0.15/0.49    ~neq(sk2,nil)|neq(sk3,nil)),
% 0.15/0.49    inference(forward_demodulation,[status(thm)],[f431,f436])).
% 0.15/0.49  fof(f490,plain,(
% 0.15/0.49    ~neq(sk2,nil)|neq(sk1,nil)),
% 0.15/0.49    inference(forward_demodulation,[status(thm)],[f432,f489])).
% 0.15/0.49  fof(f491,plain,(
% 0.15/0.49    neq(sk1,nil)|~ssList(nil)|~ssList(sk2)|sk2=nil),
% 0.15/0.49    inference(resolution,[status(thm)],[f490,f299])).
% 0.15/0.49  fof(f492,plain,(
% 0.15/0.49    neq(sk1,nil)|~ssList(sk2)|sk2=nil),
% 0.15/0.49    inference(forward_subsumption_resolution,[status(thm)],[f491,f204])).
% 0.15/0.49  fof(f507,plain,(
% 0.15/0.49    ~neq(sk2,nil)|segmentP(sk4,sk3)),
% 0.15/0.49    inference(forward_demodulation,[status(thm)],[f431,f437])).
% 0.15/0.49  fof(f508,plain,(
% 0.15/0.49    ~neq(sk2,nil)|segmentP(sk2,sk3)),
% 0.15/0.49    inference(forward_demodulation,[status(thm)],[f431,f507])).
% 0.15/0.49  fof(f509,plain,(
% 0.15/0.49    ~neq(sk2,nil)|segmentP(sk2,sk1)),
% 0.15/0.49    inference(forward_demodulation,[status(thm)],[f432,f508])).
% 0.15/0.49  fof(f510,plain,(
% 0.15/0.49    segmentP(sk2,sk1)|~ssList(nil)|~ssList(sk2)|sk2=nil),
% 0.15/0.49    inference(resolution,[status(thm)],[f509,f299])).
% 0.15/0.49  fof(f511,plain,(
% 0.15/0.49    segmentP(sk2,sk1)|~ssList(sk2)|sk2=nil),
% 0.15/0.49    inference(forward_subsumption_resolution,[status(thm)],[f510,f204])).
% 0.15/0.49  fof(f524,plain,(
% 0.15/0.49    neq(sk1,nil)|sk2=nil),
% 0.15/0.49    inference(forward_subsumption_resolution,[status(thm)],[f492,f428])).
% 0.15/0.49  fof(f525,plain,(
% 0.15/0.49    segmentP(sk2,sk1)|sk2=nil),
% 0.15/0.49    inference(forward_subsumption_resolution,[status(thm)],[f511,f428])).
% 0.15/0.49  fof(f526,plain,(
% 0.15/0.49    sk2=nil|~neq(sk1,nil)),
% 0.15/0.49    inference(resolution,[status(thm)],[f525,f435])).
% 0.15/0.49  fof(f529,plain,(
% 0.15/0.49    ~neq(sk1,nil)),
% 0.15/0.49    inference(forward_subsumption_resolution,[status(thm)],[f526,f488])).
% 0.15/0.50  fof(f533,plain,(
% 0.15/0.50    sk2=nil),
% 0.15/0.50    inference(backward_subsumption_resolution,[status(thm)],[f524,f529])).
% 0.15/0.50  fof(f535,plain,(
% 0.15/0.50    $false),
% 0.15/0.50    inference(forward_subsumption_resolution,[status(thm)],[f533,f488])).
% 0.15/0.50  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.52  % Elapsed time: 0.079923 seconds
% 0.15/0.52  % CPU time: 0.258376 seconds
% 0.15/0.52  % Total memory used: 82.438 MB
% 0.15/0.52  % Net memory used: 82.314 MB
%------------------------------------------------------------------------------