TSTP Solution File: HWV027-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : HWV027-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% 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 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,axiom,
    ! [X_t_32] : level(X_t_32) = int_level(X_t_32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f82,axiom,
    ! [X_t_42] :
      ( p_Reset(X_t_42)
      | p_Wr(X_t_42)
      | p_Rd(X_t_42)
      | int_level(plus(X_t_42,n1)) = int_level(X_t_42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    ~ p_Wr(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    ~ p_Rd(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f93,negated_conjecture,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f94,negated_conjecture,
    level(t_139) != level(plus(t_139,n1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f118,plain,
    ! [X0] : level(X0) = int_level(X0),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f181,plain,
    ! [X0] :
      ( p_Reset(X0)
      | p_Wr(X0)
      | p_Rd(X0)
      | int_level(plus(X0,n1)) = int_level(X0) ),
    inference(cnf_transformation,[status(esa)],[f82]) ).

fof(f190,plain,
    ~ p_Wr(t_139),
    inference(cnf_transformation,[status(esa)],[f91]) ).

fof(f191,plain,
    ~ p_Rd(t_139),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f192,plain,
    ~ p_Reset(t_139),
    inference(cnf_transformation,[status(esa)],[f93]) ).

fof(f193,plain,
    level(t_139) != level(plus(t_139,n1)),
    inference(cnf_transformation,[status(esa)],[f94]) ).

fof(f197,plain,
    ! [X0] :
      ( p_Reset(X0)
      | p_Wr(X0)
      | p_Rd(X0)
      | level(plus(X0,n1)) = int_level(X0) ),
    inference(forward_demodulation,[status(thm)],[f118,f181]) ).

fof(f198,plain,
    ! [X0] :
      ( p_Reset(X0)
      | p_Wr(X0)
      | p_Rd(X0)
      | level(plus(X0,n1)) = level(X0) ),
    inference(forward_demodulation,[status(thm)],[f118,f197]) ).

fof(f199,plain,
    ( spl0_0
  <=> p_Reset(t_139) ),
    introduced(split_symbol_definition) ).

fof(f200,plain,
    ( p_Reset(t_139)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f199]) ).

fof(f202,plain,
    ( spl0_1
  <=> p_Wr(t_139) ),
    introduced(split_symbol_definition) ).

fof(f203,plain,
    ( p_Wr(t_139)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f202]) ).

fof(f205,plain,
    ( spl0_2
  <=> p_Rd(t_139) ),
    introduced(split_symbol_definition) ).

fof(f206,plain,
    ( p_Rd(t_139)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f205]) ).

fof(f208,plain,
    ( p_Reset(t_139)
    | p_Wr(t_139)
    | p_Rd(t_139) ),
    inference(resolution,[status(thm)],[f198,f193]) ).

fof(f209,plain,
    ( spl0_0
    | spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f208,f199,f202,f205]) ).

fof(f217,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f206,f191]) ).

fof(f218,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f217]) ).

fof(f219,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f200,f192]) ).

fof(f220,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f219]) ).

fof(f221,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f203,f190]) ).

fof(f222,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f221]) ).

fof(f223,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f209,f218,f220,f222]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : HWV027-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.25  % Computer : n008.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Tue May 30 11:55:24 EDT 2023
% 0.07/0.25  % CPUTime  : 
% 0.07/0.26  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.27  % Elapsed time: 0.014745 seconds
% 0.07/0.27  % CPU time: 0.021196 seconds
% 0.07/0.27  % Memory used: 15.064 MB
%------------------------------------------------------------------------------