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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : HWV026-3 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n010.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 12:46:01 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (   9 unt;   2 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  17   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [T_5] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,axiom,
    ! [T_13] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(T_13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f134,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f136,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f137,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f149,plain,
    ! [X0] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f205,plain,
    ! [X0] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X0)) ),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f298,plain,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    inference(cnf_transformation,[status(thm)],[f134]) ).

fof(f300,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f301,plain,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)),
    inference(cnf_transformation,[status(thm)],[f137]) ).

fof(f313,definition,
    ( sQ2_spl
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f314,plain,
    ( ~ sQ2_spl
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    inference(component_clause,[status(thm)],[f313]) ).

fof(f400,plain,
    ! [X0] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f205,f149]) ).

fof(f401,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)) ),
    inference(resolution,[status(thm)],[f400,f300]) ).

fof(f406,definition,
    ( sQ17_spl
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f407,plain,
    ( ~ sQ17_spl
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)) ),
    inference(component_clause,[status(thm)],[f406]) ).

fof(f409,plain,
    ( sQ2_spl
    | sQ17_spl ),
    inference(split_clause,[status(thm)],[f401,f406,f313]) ).

fof(f419,plain,
    ( ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f407,f301]) ).

fof(f420,plain,
    ~ sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f419]) ).

fof(f425,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f314,f298]) ).

fof(f426,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f425]) ).

fof(f427,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f409,f420,f426]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : HWV026-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n010.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sun Sep 20 20:49:09 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.14/0.37  % Drodi V4.1.1
% 0.14/0.40  % Refutation found
% 0.14/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43  % Elapsed time: 0.050683 seconds
% 0.14/0.43  % CPU time: 0.144020 seconds
% 0.14/0.43  % Total memory used: 109.734 MB
% 0.14/0.43  % Net memory used: 109.660 MB
%------------------------------------------------------------------------------