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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC103-1 : 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 : n019.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 02:41:35 PM UTC 2026

% Result   : Unsatisfiable 0.09s 0.41s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC103-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n019.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 07:56:07 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.09/0.41  % Refutation found
% 0.09/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41  fof(f190,negated_conjecture,(
% 0.09/0.41    sk2 = sk4 ),
% 0.09/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f191,negated_conjecture,(
% 0.09/0.41    sk1 = sk3 ),
% 0.09/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f192,negated_conjecture,(
% 0.09/0.41    neq(sk2,nil) ),
% 0.09/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f194,negated_conjecture,(
% 0.09/0.41    ( ~ neq(sk1,nil)| ~ frontsegP(sk2,sk1) ) ),
% 0.09/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f195,negated_conjecture,(
% 0.09/0.41    ( ~ neq(sk4,nil)| neq(sk3,nil) ) ),
% 0.09/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f196,negated_conjecture,(
% 0.09/0.41    ( ~ neq(sk4,nil)| frontsegP(sk4,sk3) ) ),
% 0.09/0.41    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f431,plain,(
% 0.09/0.41    sk2=sk4),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f190])).
% 0.09/0.41  fof(f432,plain,(
% 0.09/0.41    sk1=sk3),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f191])).
% 0.09/0.41  fof(f433,plain,(
% 0.09/0.41    neq(sk2,nil)),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f192])).
% 0.09/0.41  fof(f435,plain,(
% 0.09/0.41    ~neq(sk1,nil)|~frontsegP(sk2,sk1)),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f194])).
% 0.09/0.41  fof(f436,plain,(
% 0.09/0.41    ~neq(sk4,nil)|neq(sk3,nil)),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f195])).
% 0.09/0.41  fof(f437,plain,(
% 0.09/0.41    ~neq(sk4,nil)|frontsegP(sk4,sk3)),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f196])).
% 0.09/0.41  fof(f452,definition,(
% 0.09/0.41    sQ4_spl <=> (neq(sk1,nil))),
% 0.09/0.41    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.41  fof(f454,plain,(
% 0.09/0.41    ~neq(sk1,nil)|sQ4_spl),
% 0.09/0.41    inference(component_clause,[status(thm)],[f452])).
% 0.09/0.41  fof(f455,definition,(
% 0.09/0.41    sQ5_spl <=> (frontsegP(sk2,sk1))),
% 0.09/0.41    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.41  fof(f457,plain,(
% 0.09/0.41    ~frontsegP(sk2,sk1)|sQ5_spl),
% 0.09/0.41    inference(component_clause,[status(thm)],[f455])).
% 0.09/0.41  fof(f458,plain,(
% 0.09/0.41    ~sQ4_spl|~sQ5_spl),
% 0.09/0.41    inference(split_clause,[status(thm)],[f435,f452,f455])).
% 0.09/0.41  fof(f459,definition,(
% 0.09/0.41    sQ6_spl <=> (neq(sk4,nil))),
% 0.09/0.41    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.41  fof(f461,plain,(
% 0.09/0.41    ~neq(sk4,nil)|sQ6_spl),
% 0.09/0.41    inference(component_clause,[status(thm)],[f459])).
% 0.09/0.41  fof(f462,definition,(
% 0.09/0.41    sQ7_spl <=> (neq(sk3,nil))),
% 0.09/0.41    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.41  fof(f463,plain,(
% 0.09/0.41    neq(sk3,nil)|~sQ7_spl),
% 0.09/0.41    inference(component_clause,[status(thm)],[f462])).
% 0.09/0.41  fof(f465,plain,(
% 0.09/0.41    ~sQ6_spl|sQ7_spl),
% 0.09/0.41    inference(split_clause,[status(thm)],[f436,f459,f462])).
% 0.09/0.41  fof(f466,definition,(
% 0.09/0.41    sQ8_spl <=> (frontsegP(sk4,sk3))),
% 0.09/0.41    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.41  fof(f467,plain,(
% 0.09/0.41    frontsegP(sk4,sk3)|~sQ8_spl),
% 0.09/0.41    inference(component_clause,[status(thm)],[f466])).
% 0.09/0.41  fof(f469,plain,(
% 0.09/0.41    ~sQ6_spl|sQ8_spl),
% 0.09/0.41    inference(split_clause,[status(thm)],[f437,f459,f466])).
% 0.09/0.41  fof(f502,plain,(
% 0.09/0.41    neq(sk4,nil)),
% 0.09/0.41    inference(forward_demodulation,[status(thm)],[f431,f433])).
% 0.09/0.41  fof(f507,plain,(
% 0.09/0.41    ~neq(sk3,nil)|sQ4_spl),
% 0.09/0.41    inference(forward_demodulation,[status(thm)],[f432,f454])).
% 0.09/0.41  fof(f508,plain,(
% 0.09/0.41    $false|sQ4_spl|~sQ7_spl),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f463,f507])).
% 0.09/0.41  fof(f509,plain,(
% 0.09/0.41    sQ4_spl|~sQ7_spl),
% 0.09/0.41    inference(contradiction_clause,[status(thm)],[f508])).
% 0.09/0.41  fof(f510,plain,(
% 0.09/0.41    ~frontsegP(sk4,sk1)|sQ5_spl),
% 0.09/0.41    inference(forward_demodulation,[status(thm)],[f431,f457])).
% 0.09/0.41  fof(f511,plain,(
% 0.09/0.41    ~frontsegP(sk4,sk3)|sQ5_spl),
% 0.09/0.41    inference(forward_demodulation,[status(thm)],[f432,f510])).
% 0.09/0.41  fof(f527,plain,(
% 0.09/0.41    $false|sQ6_spl),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f461,f502])).
% 0.09/0.41  fof(f528,plain,(
% 0.09/0.41    sQ6_spl),
% 0.09/0.41    inference(contradiction_clause,[status(thm)],[f527])).
% 0.09/0.41  fof(f529,plain,(
% 0.09/0.41    $false|sQ5_spl|~sQ8_spl),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f467,f511])).
% 0.09/0.41  fof(f530,plain,(
% 0.09/0.41    sQ5_spl|~sQ8_spl),
% 0.09/0.41    inference(contradiction_clause,[status(thm)],[f529])).
% 0.09/0.41  fof(f531,plain,(
% 0.09/0.41    $false),
% 0.09/0.41    inference(sat_refutation,[status(thm)],[f458,f465,f469,f509,f528,f530])).
% 0.09/0.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44  % Elapsed time: 0.072009 seconds
% 0.09/0.44  % CPU time: 0.172037 seconds
% 0.09/0.44  % Total memory used: 108.675 MB
% 0.09/0.44  % Net memory used: 108.526 MB
%------------------------------------------------------------------------------