TSTP Solution File: HWV019-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : HWV019-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 : Tue Apr 30 20:21:58 EDT 2024

% Result   : Unsatisfiable 0.19s 0.39s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   49 (  15 unt;   0 def)
%            Number of atoms       :  107 (   7 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  102 (  44   ~;  53   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   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(f12,axiom,
    ! [T_5] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1)))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [T_13] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,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(f40,axiom,
    ! [T_13] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_13,n1)))
      | ~ 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(f69,axiom,
    ! [X_96,Y_97] :
      ( X_96 = Y_97
      | ~ p_LES_EQU_(X_96,Y_97)
      | ~ p_LES_EQU_(Y_97,X_96) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f70,axiom,
    ! [Z_100,X_98,Y_99] :
      ( ~ p_LES_EQU_(Z_100,X_98)
      | p_LES_EQU_(Y_99,X_98)
      | p_LES_EQU_(Z_100,Y_99) ),
    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_DOTwr__error_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f137,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
    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(f149,plain,
    ! [X0] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,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)],[f21]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
      | ~ 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)],[f40]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ p_LES_EQU_(X0,X1)
      | ~ p_LES_EQU_(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f69]) ).

fof(f221,plain,
    ! [Z_100,Y_99] :
      ( ! [X_98] :
          ( ~ p_LES_EQU_(Z_100,X_98)
          | p_LES_EQU_(Y_99,X_98) )
      | p_LES_EQU_(Z_100,Y_99) ),
    inference(miniscoping,[status(esa)],[f70]) ).

fof(f222,plain,
    ! [X0,X1,X2] :
      ( ~ p_LES_EQU_(X0,X1)
      | p_LES_EQU_(X2,X1)
      | p_LES_EQU_(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f221]) ).

fof(f226,plain,
    ! [X0] : p_LES_EQU_(X0,X0),
    inference(cnf_transformation,[status(esa)],[f74]) ).

fof(f298,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
    inference(cnf_transformation,[status(esa)],[f134]) ).

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

fof(f301,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
    inference(cnf_transformation,[status(esa)],[f137]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( p_LES_EQU_(X0,X1)
      | p_LES_EQU_(X1,X0) ),
    inference(resolution,[status(thm)],[f222,f226]) ).

fof(f308,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    inference(resolution,[status(thm)],[f307,f301]) ).

fof(f314,plain,
    ! [X0] :
      ( p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),X0) ),
    inference(resolution,[status(thm)],[f308,f222]) ).

fof(f315,plain,
    ( spl0_0
  <=> fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    introduced(split_symbol_definition) ).

fof(f316,plain,
    ( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f315]) ).

fof(f318,plain,
    ( spl0_1
  <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
    introduced(split_symbol_definition) ).

fof(f321,plain,
    ( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
    | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
    inference(resolution,[status(thm)],[f308,f220]) ).

fof(f322,plain,
    ( spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f321,f315,f318]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( p_LES_EQU_(X0,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
      | p_LES_EQU_(X1,X0)
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),X1) ),
    inference(resolution,[status(thm)],[f314,f222]) ).

fof(f344,plain,
    ( spl0_3
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    introduced(split_symbol_definition) ).

fof(f415,plain,
    ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
    | ~ spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f316,f301]) ).

fof(f416,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f415,f226]) ).

fof(f417,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f416]) ).

fof(f590,plain,
    ! [X0] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,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,f162]) ).

fof(f591,plain,
    ! [X0] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f590,f149]) ).

fof(f592,plain,
    ( spl0_30
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    introduced(split_symbol_definition) ).

fof(f594,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | spl0_30 ),
    inference(component_clause,[status(thm)],[f592]) ).

fof(f595,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    inference(resolution,[status(thm)],[f591,f298]) ).

fof(f596,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f595,f318,f344,f592]) ).

fof(f621,plain,
    ( $false
    | spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f594,f300]) ).

fof(f622,plain,
    spl0_30,
    inference(contradiction_clause,[status(thm)],[f621]) ).

fof(f775,plain,
    ( spl0_49
  <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
    introduced(split_symbol_definition) ).

fof(f979,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
    inference(resolution,[status(thm)],[f335,f301]) ).

fof(f980,plain,
    spl0_49,
    inference(split_clause,[status(thm)],[f979,f775]) ).

fof(f1150,plain,
    ! [X0] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f187,f149]) ).

fof(f1152,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    inference(resolution,[status(thm)],[f1150,f298]) ).

fof(f1153,plain,
    ( ~ spl0_3
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f1152,f344,f592]) ).

fof(f1158,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f322,f417,f596,f622,f980,f1153]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : HWV019-2 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 01:35:33 EDT 2024
% 0.19/0.35  % CPUTime  : 
% 0.19/0.36  % Drodi V3.6.0
% 0.19/0.39  % Refutation found
% 0.19/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.40  % Elapsed time: 0.050708 seconds
% 0.19/0.40  % CPU time: 0.231947 seconds
% 0.19/0.40  % Total memory used: 53.421 MB
% 0.19/0.40  % Net memory used: 53.203 MB
%------------------------------------------------------------------------------