TSTP Solution File: HWV027-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : HWV027-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:13:00 EDT 2023

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  14 unt;   0 def)
%            Number of atoms       :   54 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  17   ~;  22   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f50,axiom,
    ! [T_13] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

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

fof(f137,negated_conjecture,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f141,plain,
    ! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f199,plain,
    ! [X0] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    inference(cnf_transformation,[status(esa)],[f50]) ).

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

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

fof(f300,plain,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    inference(cnf_transformation,[status(esa)],[f136]) ).

fof(f301,plain,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),
    inference(cnf_transformation,[status(esa)],[f137]) ).

fof(f313,plain,
    ( spl0_1
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    introduced(split_symbol_definition) ).

fof(f314,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f313]) ).

fof(f316,plain,
    ( spl0_2
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    introduced(split_symbol_definition) ).

fof(f317,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f316]) ).

fof(f319,plain,
    ( spl0_3
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    introduced(split_symbol_definition) ).

fof(f320,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f319]) ).

fof(f329,plain,
    ! [X0] :
      ( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    inference(forward_demodulation,[status(thm)],[f141,f199]) ).

fof(f330,plain,
    ! [X0] :
      ( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    inference(forward_demodulation,[status(thm)],[f141,f329]) ).

fof(f331,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    inference(resolution,[status(thm)],[f330,f301]) ).

fof(f332,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f331,f313,f316,f319]) ).

fof(f340,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f320,f299]) ).

fof(f341,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f340]) ).

fof(f342,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f314,f300]) ).

fof(f343,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f342]) ).

fof(f344,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f317,f298]) ).

fof(f345,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f344]) ).

fof(f346,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f332,f341,f343,f345]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem  : HWV027-2 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.16  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.37  % Computer : n016.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Tue May 30 12:18:15 EDT 2023
% 0.13/0.37  % CPUTime  : 
% 0.13/0.38  % Drodi V3.5.1
% 0.13/0.39  % Refutation found
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.61  % Elapsed time: 0.020160 seconds
% 0.24/0.61  % CPU time: 0.043519 seconds
% 0.24/0.61  % Memory used: 15.751 MB
%------------------------------------------------------------------------------