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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : HWV026-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n026.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 0.09s 0.40s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   25 (  12 unt;   3 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  17   ~;  16   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,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(f135,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(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(f206,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)],[f56]) ).

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

fof(f299,plain,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    inference(cnf_transformation,[status(thm)],[f135]) ).

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(f371,definition,
    ( sQ5_spl
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f373,plain,
    ( sQ5_spl
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)) ),
    inference(component_clause,[status(thm)],[f371]) ).

fof(f395,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(t_206)) ),
    inference(resolution,[status(thm)],[f206,f300]) ).

fof(f404,definition,
    ( sQ11_spl
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f405,plain,
    ( ~ sQ11_spl
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    inference(component_clause,[status(thm)],[f404]) ).

fof(f407,definition,
    ( sQ12_spl
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f408,plain,
    ( ~ sQ12_spl
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    inference(component_clause,[status(thm)],[f407]) ).

fof(f410,plain,
    ( sQ12_spl
    | sQ11_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f395,f371,f404,f407]) ).

fof(f424,plain,
    ( ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f408,f299]) ).

fof(f425,plain,
    ~ sQ12_spl,
    inference(contradiction_clause,[status(thm)],[f424]) ).

fof(f426,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f373,f301]) ).

fof(f427,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f426]) ).

fof(f428,plain,
    ( ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f405,f298]) ).

fof(f429,plain,
    ~ sQ11_spl,
    inference(contradiction_clause,[status(thm)],[f428]) ).

fof(f430,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f410,f425,f427,f429]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV026-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n026.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
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 20 20:51:21 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.39  % Drodi V4.1.1
% 0.09/0.40  % Refutation found
% 0.09/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44  % Elapsed time: 0.055193 seconds
% 0.09/0.44  % CPU time: 0.145187 seconds
% 0.09/0.44  % Total memory used: 68.731 MB
% 0.09/0.44  % Net memory used: 68.682 MB
%------------------------------------------------------------------------------