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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWC038-1 : 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 : n016.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 02:41:24 PM UTC 2026

% Result   : Unsatisfiable 0.15s 5.48s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWC038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.42  % Computer : n016.cluster.edu
% 0.15/5.42  % Model    : x86_64 x86_64
% 0.15/5.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.42  % Memory   : 8046.5625MB
% 0.15/5.42  % OS       : Linux 6.8.0-71-generic
% 0.15/5.42  % CPULimit : 300
% 0.15/5.42  % WCLimit  : 300
% 0.15/5.42  % DateTime : Mon Sep 21 07:55:43 UTC 2026
% 0.15/5.43  % CPUTime  : 
% 0.15/5.45  % Drodi V4.1.1
% 0.15/5.48  % Refutation found
% 0.15/5.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.48  % SZS output start CNFRefutation for theBenchmark
% 0.15/5.48  fof(f84,axiom,(
% 0.15/5.48    (![U]: (( ~ frontsegP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.15/5.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.48  fof(f188,negated_conjecture,(
% 0.15/5.48    ssList(sk3) ),
% 0.15/5.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.48  fof(f190,negated_conjecture,(
% 0.15/5.48    nil = sk2 ),
% 0.15/5.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.48  fof(f191,negated_conjecture,(
% 0.15/5.48    sk2 = sk4 ),
% 0.15/5.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.48  fof(f192,negated_conjecture,(
% 0.15/5.48    sk1 = sk3 ),
% 0.15/5.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.48  fof(f193,negated_conjecture,(
% 0.15/5.48    nil != sk1 ),
% 0.15/5.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.48  fof(f197,negated_conjecture,(
% 0.15/5.48    ( nil = sk3| frontsegP(sk4,sk3) ) ),
% 0.15/5.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.48  fof(f282,plain,(
% 0.15/5.48    ![X0]: (~frontsegP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.15/5.48    inference(cnf_transformation,[status(thm)],[f84])).
% 0.15/5.48  fof(f430,plain,(
% 0.15/5.48    ssList(sk3)),
% 0.15/5.48    inference(cnf_transformation,[status(thm)],[f188])).
% 0.15/5.48  fof(f432,plain,(
% 0.15/5.48    nil=sk2),
% 0.15/5.48    inference(cnf_transformation,[status(thm)],[f190])).
% 0.15/5.48  fof(f433,plain,(
% 0.15/5.48    sk2=sk4),
% 0.15/5.48    inference(cnf_transformation,[status(thm)],[f191])).
% 0.15/5.48  fof(f434,plain,(
% 0.15/5.48    sk1=sk3),
% 0.15/5.48    inference(cnf_transformation,[status(thm)],[f192])).
% 0.15/5.48  fof(f435,plain,(
% 0.15/5.48    ~nil=sk1),
% 0.15/5.48    inference(cnf_transformation,[status(thm)],[f193])).
% 0.15/5.48  fof(f439,plain,(
% 0.15/5.48    nil=sk3|frontsegP(sk4,sk3)),
% 0.15/5.48    inference(cnf_transformation,[status(thm)],[f197])).
% 0.15/5.48  fof(f454,definition,(
% 0.15/5.48    sQ4_spl <=> (frontsegP(sk4,sk3))),
% 0.15/5.48    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/5.48  fof(f455,plain,(
% 0.15/5.48    frontsegP(sk4,sk3)|~sQ4_spl),
% 0.15/5.48    inference(component_clause,[status(thm)],[f454])).
% 0.15/5.48  fof(f458,definition,(
% 0.15/5.48    sQ5_spl <=> (nil=sk3)),
% 0.15/5.48    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/5.48  fof(f459,plain,(
% 0.15/5.48    nil=sk3|~sQ5_spl),
% 0.15/5.48    inference(component_clause,[status(thm)],[f458])).
% 0.15/5.48  fof(f462,plain,(
% 0.15/5.48    sQ5_spl|sQ4_spl),
% 0.15/5.48    inference(split_clause,[status(thm)],[f439,f458,f454])).
% 0.15/5.48  fof(f492,plain,(
% 0.15/5.48    nil=sk4),
% 0.15/5.48    inference(backward_demodulation,[status(thm)],[f433,f432])).
% 0.15/5.48  fof(f495,plain,(
% 0.15/5.48    ~nil=sk3),
% 0.15/5.48    inference(forward_demodulation,[status(thm)],[f434,f435])).
% 0.15/5.48  fof(f496,plain,(
% 0.15/5.48    $false|~sQ5_spl),
% 0.15/5.48    inference(forward_subsumption_resolution,[status(thm)],[f459,f495])).
% 0.15/5.48  fof(f497,plain,(
% 0.15/5.48    ~sQ5_spl),
% 0.15/5.48    inference(contradiction_clause,[status(thm)],[f496])).
% 0.15/5.48  fof(f498,plain,(
% 0.15/5.48    ~sk4=sk3),
% 0.15/5.48    inference(backward_demodulation,[status(thm)],[f492,f495])).
% 0.15/5.48  fof(f525,plain,(
% 0.15/5.48    ![X0]: (~frontsegP(sk4,X0)|~ssList(X0)|nil=X0)),
% 0.15/5.48    inference(forward_demodulation,[status(thm)],[f492,f282])).
% 0.15/5.48  fof(f526,plain,(
% 0.15/5.48    ![X0]: (~frontsegP(sk4,X0)|~ssList(X0)|sk4=X0)),
% 0.15/5.48    inference(forward_demodulation,[status(thm)],[f492,f525])).
% 0.15/5.48  fof(f528,plain,(
% 0.15/5.48    ~ssList(sk3)|sk4=sk3|~sQ4_spl),
% 0.15/5.48    inference(resolution,[status(thm)],[f526,f455])).
% 0.15/5.48  fof(f536,definition,(
% 0.15/5.48    sQ8_spl <=> (ssList(sk3))),
% 0.15/5.48    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/5.48  fof(f538,plain,(
% 0.15/5.48    ~ssList(sk3)|sQ8_spl),
% 0.15/5.48    inference(component_clause,[status(thm)],[f536])).
% 0.15/5.48  fof(f539,definition,(
% 0.15/5.48    sQ9_spl <=> (sk4=sk3)),
% 0.15/5.48    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/5.48  fof(f540,plain,(
% 0.15/5.48    sk4=sk3|~sQ9_spl),
% 0.15/5.48    inference(component_clause,[status(thm)],[f539])).
% 0.15/5.48  fof(f542,plain,(
% 0.15/5.48    ~sQ8_spl|sQ9_spl|~sQ4_spl),
% 0.15/5.48    inference(split_clause,[status(thm)],[f528,f536,f539,f454])).
% 0.15/5.48  fof(f543,plain,(
% 0.15/5.48    $false|sQ8_spl),
% 0.15/5.48    inference(forward_subsumption_resolution,[status(thm)],[f538,f430])).
% 0.15/5.48  fof(f544,plain,(
% 0.15/5.48    sQ8_spl),
% 0.15/5.48    inference(contradiction_clause,[status(thm)],[f543])).
% 0.15/5.48  fof(f547,plain,(
% 0.15/5.48    $false|~sQ9_spl),
% 0.15/5.48    inference(forward_subsumption_resolution,[status(thm)],[f540,f498])).
% 0.15/5.48  fof(f548,plain,(
% 0.15/5.48    ~sQ9_spl),
% 0.15/5.48    inference(contradiction_clause,[status(thm)],[f547])).
% 0.15/5.48  fof(f549,plain,(
% 0.15/5.48    $false),
% 0.15/5.48    inference(sat_refutation,[status(thm)],[f462,f497,f542,f544,f548])).
% 0.15/5.48  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/5.52  % Elapsed time: 0.069102 seconds
% 0.19/5.52  % CPU time: 0.175086 seconds
% 0.19/5.52  % Total memory used: 54.415 MB
% 0.19/5.52  % Net memory used: 54.349 MB
%------------------------------------------------------------------------------