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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : HWV018-3 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n009.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 12:45:58 PM UTC 2026

% Result   : Unsatisfiable 0.12s 0.39s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (  15 unt;   0 def)
%            Number of atoms       :   42 (   3 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   38 (  19   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [T_2] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(T_2) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(T_2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [T_13] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f74,axiom,
    ! [X_106] : p_LES_EQU_(X_106,X_106),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f134,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f135,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f136,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f137,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f138,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f144,plain,
    ! [X0] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0)) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f166,plain,
    ! [X0] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f227,plain,
    ! [X0] : p_LES_EQU_(X0,X0),
    inference(cnf_transformation,[status(thm)],[f74]) ).

fof(f299,plain,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    inference(cnf_transformation,[status(thm)],[f134]) ).

fof(f300,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
    inference(cnf_transformation,[status(thm)],[f135]) ).

fof(f301,plain,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    inference(cnf_transformation,[status(thm)],[f136]) ).

fof(f302,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    inference(cnf_transformation,[status(thm)],[f137]) ).

fof(f303,plain,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f309,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
    inference(resolution,[status(thm)],[f144,f300]) ).

fof(f313,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
    inference(resolution,[status(thm)],[f166,f303]) ).

fof(f316,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
    inference(forward_demodulation,[status(thm)],[f309,f313]) ).

fof(f317,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
    inference(forward_subsumption_resolution,[status(thm)],[f316,f299]) ).

fof(f343,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f317,f227]) ).

fof(f344,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    inference(resolution,[status(thm)],[f343,f302]) ).

fof(f345,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f344,f301]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV018-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n009.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 20 20:48:28 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.12/0.39  % Refutation found
% 0.12/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41  % Elapsed time: 0.049992 seconds
% 0.12/0.41  % CPU time: 0.120523 seconds
% 0.12/0.41  % Total memory used: 44.842 MB
% 0.12/0.41  % Net memory used: 44.801 MB
%------------------------------------------------------------------------------