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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC255-1 : 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 : n004.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 02:41:59 PM UTC 2026

% Result   : Unsatisfiable 0.13s 0.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC255-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35  % Computer : n004.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Mon Sep 21 08:09:21 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V4.1.1
% 0.13/0.40  % Refutation found
% 0.13/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40  fof(f190,negated_conjecture,(
% 0.13/0.40    sk2 = sk4 ),
% 0.13/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40  fof(f191,negated_conjecture,(
% 0.13/0.40    sk1 = sk3 ),
% 0.13/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40  fof(f192,negated_conjecture,(
% 0.13/0.40    ( neq(sk2,nil)| neq(sk2,nil) ) ),
% 0.13/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40  fof(f196,negated_conjecture,(
% 0.13/0.40    ( singletonP(sk3)| ~ neq(sk4,nil) ) ),
% 0.13/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40  fof(f197,negated_conjecture,(
% 0.13/0.40    ( ~ singletonP(sk1)| ~ neq(sk4,nil) ) ),
% 0.13/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40  fof(f432,plain,(
% 0.13/0.40    sk2=sk4),
% 0.13/0.40    inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.40  fof(f433,plain,(
% 0.13/0.40    sk1=sk3),
% 0.13/0.40    inference(cnf_transformation,[status(thm)],[f191])).
% 0.13/0.40  fof(f434,plain,(
% 0.13/0.40    neq(sk2,nil)|neq(sk2,nil)),
% 0.13/0.40    inference(cnf_transformation,[status(thm)],[f192])).
% 0.13/0.40  fof(f438,plain,(
% 0.13/0.40    singletonP(sk3)|~neq(sk4,nil)),
% 0.13/0.40    inference(cnf_transformation,[status(thm)],[f196])).
% 0.13/0.40  fof(f439,plain,(
% 0.13/0.40    ~singletonP(sk1)|~neq(sk4,nil)),
% 0.13/0.40    inference(cnf_transformation,[status(thm)],[f197])).
% 0.13/0.40  fof(f447,definition,(
% 0.13/0.40    sQ2_spl <=> (neq(sk2,nil))),
% 0.13/0.40    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40  fof(f448,plain,(
% 0.13/0.40    neq(sk2,nil)|~sQ2_spl),
% 0.13/0.40    inference(component_clause,[status(thm)],[f447])).
% 0.13/0.40  fof(f450,plain,(
% 0.13/0.40    sQ2_spl),
% 0.13/0.40    inference(split_clause,[status(thm)],[f434,f447])).
% 0.13/0.40  fof(f451,definition,(
% 0.13/0.40    sQ3_spl <=> (neq(sk4,nil))),
% 0.13/0.40    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40  fof(f453,plain,(
% 0.13/0.40    ~neq(sk4,nil)|sQ3_spl),
% 0.13/0.40    inference(component_clause,[status(thm)],[f451])).
% 0.13/0.40  fof(f455,definition,(
% 0.13/0.40    sQ4_spl <=> (singletonP(sk3))),
% 0.13/0.40    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40  fof(f456,plain,(
% 0.13/0.40    singletonP(sk3)|~sQ4_spl),
% 0.13/0.40    inference(component_clause,[status(thm)],[f455])).
% 0.13/0.40  fof(f459,definition,(
% 0.13/0.40    sQ5_spl <=> (singletonP(sk1))),
% 0.13/0.40    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40  fof(f461,plain,(
% 0.13/0.40    ~singletonP(sk1)|sQ5_spl),
% 0.13/0.40    inference(component_clause,[status(thm)],[f459])).
% 0.13/0.40  fof(f463,plain,(
% 0.13/0.40    sQ4_spl|~sQ3_spl),
% 0.13/0.40    inference(split_clause,[status(thm)],[f438,f455,f451])).
% 0.13/0.40  fof(f464,plain,(
% 0.13/0.40    ~sQ5_spl|~sQ3_spl),
% 0.13/0.40    inference(split_clause,[status(thm)],[f439,f459,f451])).
% 0.13/0.40  fof(f496,plain,(
% 0.13/0.40    ~singletonP(sk3)|sQ5_spl),
% 0.13/0.40    inference(forward_demodulation,[status(thm)],[f433,f461])).
% 0.13/0.40  fof(f497,plain,(
% 0.13/0.40    $false|sQ5_spl|~sQ4_spl),
% 0.13/0.40    inference(forward_subsumption_resolution,[status(thm)],[f456,f496])).
% 0.13/0.40  fof(f498,plain,(
% 0.13/0.40    sQ5_spl|~sQ4_spl),
% 0.13/0.40    inference(contradiction_clause,[status(thm)],[f497])).
% 0.13/0.40  fof(f500,plain,(
% 0.13/0.40    neq(sk4,nil)|~sQ2_spl),
% 0.13/0.40    inference(forward_demodulation,[status(thm)],[f432,f448])).
% 0.13/0.40  fof(f501,plain,(
% 0.13/0.40    $false|~sQ2_spl|sQ3_spl),
% 0.13/0.40    inference(forward_subsumption_resolution,[status(thm)],[f453,f500])).
% 0.13/0.40  fof(f502,plain,(
% 0.13/0.40    ~sQ2_spl|sQ3_spl),
% 0.13/0.40    inference(contradiction_clause,[status(thm)],[f501])).
% 0.13/0.40  fof(f503,plain,(
% 0.13/0.40    $false),
% 0.13/0.40    inference(sat_refutation,[status(thm)],[f450,f463,f464,f498,f502])).
% 0.13/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43  % Elapsed time: 0.073543 seconds
% 0.13/0.43  % CPU time: 0.170765 seconds
% 0.13/0.43  % Total memory used: 108.620 MB
% 0.13/0.43  % Net memory used: 108.457 MB
%------------------------------------------------------------------------------