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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC207-1 : 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 : 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 02:41:52 PM UTC 2026

% Result   : Unsatisfiable 0.09s 0.61s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC207-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56  % Computer : n017.cluster.edu
% 0.09/0.56  % Model    : x86_64 x86_64
% 0.09/0.56  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56  % Memory   : 8046.5625MB
% 0.09/0.56  % OS       : Linux 6.8.0-71-generic
% 0.09/0.56  % CPULimit : 300
% 0.09/0.56  % WCLimit  : 300
% 0.09/0.56  % DateTime : Mon Sep 21 08:00:12 UTC 2026
% 0.09/0.56  % CPUTime  : 
% 0.09/0.58  % Drodi V4.1.1
% 0.09/0.61  % Refutation found
% 0.09/0.61  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.61  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.61  fof(f8,axiom,(
% 0.09/0.61    ssList(nil) ),
% 0.09/0.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.61  fof(f99,axiom,(
% 0.09/0.61    (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.09/0.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.61  fof(f100,axiom,(
% 0.09/0.61    (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.09/0.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.61  fof(f186,negated_conjecture,(
% 0.09/0.61    ssList(sk1) ),
% 0.09/0.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.61  fof(f190,negated_conjecture,(
% 0.09/0.61    sk2 = sk4 ),
% 0.09/0.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.61  fof(f191,negated_conjecture,(
% 0.09/0.61    sk1 = sk3 ),
% 0.09/0.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.61  fof(f192,negated_conjecture,(
% 0.09/0.61    neq(sk2,nil) ),
% 0.09/0.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.61  fof(f193,negated_conjecture,(
% 0.09/0.61    ~ neq(sk1,nil) ),
% 0.09/0.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.61  fof(f194,negated_conjecture,(
% 0.09/0.61    ( ssItem(sk5)| nil = sk4 ) ),
% 0.09/0.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.61  fof(f196,negated_conjecture,(
% 0.09/0.61    ( cons(sk5,nil) = sk3| nil = sk4 ) ),
% 0.09/0.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.61  fof(f209,plain,(
% 0.09/0.61    ssList(nil)),
% 0.09/0.61    inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.61  fof(f302,plain,(
% 0.09/0.61    ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.09/0.61    inference(miniscoping,[status(thm)],[f99])).
% 0.09/0.61  fof(f303,plain,(
% 0.09/0.61    ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.09/0.61    inference(cnf_transformation,[status(thm)],[f302])).
% 0.09/0.61  fof(f304,plain,(
% 0.09/0.61    ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.09/0.61    inference(cnf_transformation,[status(thm)],[f100])).
% 0.09/0.61  fof(f432,plain,(
% 0.09/0.61    ssList(sk1)),
% 0.09/0.61    inference(cnf_transformation,[status(thm)],[f186])).
% 0.09/0.61  fof(f436,plain,(
% 0.09/0.61    sk2=sk4),
% 0.09/0.61    inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/0.61  fof(f437,plain,(
% 0.09/0.61    sk1=sk3),
% 0.09/0.61    inference(cnf_transformation,[status(thm)],[f191])).
% 0.09/0.61  fof(f438,plain,(
% 0.09/0.61    neq(sk2,nil)),
% 0.09/0.61    inference(cnf_transformation,[status(thm)],[f192])).
% 0.09/0.61  fof(f439,plain,(
% 0.09/0.61    ~neq(sk1,nil)),
% 0.09/0.61    inference(cnf_transformation,[status(thm)],[f193])).
% 0.09/0.61  fof(f440,plain,(
% 0.09/0.61    ssItem(sk5)|nil=sk4),
% 0.09/0.61    inference(cnf_transformation,[status(thm)],[f194])).
% 0.09/0.61  fof(f442,plain,(
% 0.09/0.61    cons(sk5,nil)=sk3|nil=sk4),
% 0.09/0.61    inference(cnf_transformation,[status(thm)],[f196])).
% 0.09/0.61  fof(f489,plain,(
% 0.09/0.61    ~ssList(nil)|~ssList(sk1)|sk1=nil),
% 0.09/0.61    inference(resolution,[status(thm)],[f304,f439])).
% 0.09/0.61  fof(f490,plain,(
% 0.09/0.61    ~ssList(sk1)|sk1=nil),
% 0.09/0.61    inference(forward_subsumption_resolution,[status(thm)],[f489,f209])).
% 0.09/0.61  fof(f506,plain,(
% 0.09/0.61    ssItem(sk5)|nil=sk2),
% 0.09/0.61    inference(forward_demodulation,[status(thm)],[f436,f440])).
% 0.09/0.61  fof(f507,plain,(
% 0.09/0.61    ![X0]: (nil=sk2|~cons(sk5,X0)=X0|~ssList(X0))),
% 0.09/0.61    inference(resolution,[status(thm)],[f506,f303])).
% 0.09/0.61  fof(f516,plain,(
% 0.09/0.61    cons(sk5,nil)=sk1|nil=sk4),
% 0.09/0.61    inference(forward_demodulation,[status(thm)],[f437,f442])).
% 0.09/0.61  fof(f517,plain,(
% 0.09/0.61    cons(sk5,nil)=sk1|nil=sk2),
% 0.09/0.61    inference(forward_demodulation,[status(thm)],[f436,f516])).
% 0.09/0.61  fof(f537,plain,(
% 0.09/0.61    cons(sk5,nil)=nil|nil=sk2),
% 0.09/0.61    inference(backward_demodulation,[status(thm)],[f542,f517])).
% 0.09/0.61  fof(f539,plain,(
% 0.09/0.61    ~neq(nil,nil)),
% 0.09/0.61    inference(backward_demodulation,[status(thm)],[f542,f439])).
% 0.09/0.61  fof(f542,plain,(
% 0.09/0.61    sk1=nil),
% 0.09/0.61    inference(forward_subsumption_resolution,[status(thm)],[f490,f432])).
% 0.09/0.61  fof(f766,plain,(
% 0.09/0.61    nil=sk2|~cons(sk5,nil)=nil),
% 0.09/0.61    inference(resolution,[status(thm)],[f507,f209])).
% 0.09/0.61  fof(f768,plain,(
% 0.09/0.61    nil=sk2),
% 0.09/0.61    inference(forward_subsumption_resolution,[status(thm)],[f766,f537])).
% 0.09/0.61  fof(f776,plain,(
% 0.09/0.61    neq(nil,nil)),
% 0.09/0.61    inference(backward_demodulation,[status(thm)],[f768,f438])).
% 0.09/0.61  fof(f779,plain,(
% 0.09/0.61    $false),
% 0.09/0.61    inference(forward_subsumption_resolution,[status(thm)],[f776,f539])).
% 0.09/0.61  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.64  % Elapsed time: 0.065151 seconds
% 0.14/0.64  % CPU time: 0.197702 seconds
% 0.14/0.64  % Total memory used: 109.658 MB
% 0.14/0.64  % Net memory used: 109.491 MB
%------------------------------------------------------------------------------