TSTP Solution File: HWV019-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : HWV019-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 12:12:57 EDT 2023

% Result   : Unsatisfiable 0.15s 0.69s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   68 (   2 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   73 (  34   ~;  36   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (;  11   !;   0   ?)

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

fof(f29,axiom,
    ! [X_t_37] :
      ( ~ p_Reset(X_t_37)
      | ~ p_Wr_error(plus(X_t_37,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    ! [X_t_42] :
      ( p_Reset(X_t_42)
      | ~ p_Wr(X_t_42)
      | p_Rd(X_t_42)
      | ~ gt(fifo_length,int_level(X_t_42))
      | ~ p_Wr_error(plus(X_t_42,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,axiom,
    ! [X_t_42] :
      ( p_Reset(X_t_42)
      | ~ p_Wr(X_t_42)
      | ~ p_Rd(X_t_42)
      | ~ p_Wr_error(plus(X_t_42,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    p_Wr_error(plus(t_139,n1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    p_Wr(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f94,negated_conjecture,
    ( gt(fifo_length,level(t_139))
    | p_Rd(t_139) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f126,plain,
    ! [X0] :
      ( ~ p_Reset(X0)
      | ~ p_Wr_error(plus(X0,n1)) ),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f133,plain,
    ! [X0] :
      ( p_Reset(X0)
      | ~ p_Wr(X0)
      | p_Rd(X0)
      | ~ gt(fifo_length,int_level(X0))
      | ~ p_Wr_error(plus(X0,n1)) ),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f150,plain,
    ! [X0] :
      ( p_Reset(X0)
      | ~ p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ p_Wr_error(plus(X0,n1)) ),
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f190,plain,
    p_Wr_error(plus(t_139,n1)),
    inference(cnf_transformation,[status(esa)],[f91]) ).

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

fof(f193,plain,
    ( gt(fifo_length,level(t_139))
    | p_Rd(t_139) ),
    inference(cnf_transformation,[status(esa)],[f94]) ).

fof(f194,plain,
    ( spl0_0
  <=> gt(fifo_length,level(t_139)) ),
    introduced(split_symbol_definition) ).

fof(f197,plain,
    ( spl0_1
  <=> p_Rd(t_139) ),
    introduced(split_symbol_definition) ).

fof(f200,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f193,f194,f197]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ p_Wr(X0)
      | ~ p_Rd(X0)
      | ~ p_Wr_error(plus(X0,n1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f150,f126]) ).

fof(f214,plain,
    ( spl0_2
  <=> p_Wr(t_139) ),
    introduced(split_symbol_definition) ).

fof(f216,plain,
    ( ~ p_Wr(t_139)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f214]) ).

fof(f217,plain,
    ( ~ p_Wr(t_139)
    | ~ p_Rd(t_139) ),
    inference(resolution,[status(thm)],[f213,f190]) ).

fof(f218,plain,
    ( ~ spl0_2
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f217,f214,f197]) ).

fof(f219,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f216,f191]) ).

fof(f220,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f219]) ).

fof(f231,plain,
    ! [X0] :
      ( p_Reset(X0)
      | ~ p_Wr(X0)
      | p_Rd(X0)
      | ~ gt(fifo_length,level(X0))
      | ~ p_Wr_error(plus(X0,n1)) ),
    inference(forward_demodulation,[status(thm)],[f118,f133]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ p_Wr(X0)
      | p_Rd(X0)
      | ~ gt(fifo_length,level(X0))
      | ~ p_Wr_error(plus(X0,n1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f231,f126]) ).

fof(f233,plain,
    ( ~ p_Wr(t_139)
    | p_Rd(t_139)
    | ~ gt(fifo_length,level(t_139)) ),
    inference(resolution,[status(thm)],[f232,f190]) ).

fof(f234,plain,
    ( ~ spl0_2
    | spl0_1
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f233,f214,f197,f194]) ).

fof(f235,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f200,f218,f220,f234]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.42  % Problem  : HWV019-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.43  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.65  % Computer : n029.cluster.edu
% 0.15/0.65  % Model    : x86_64 x86_64
% 0.15/0.65  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.65  % Memory   : 8042.1875MB
% 0.15/0.65  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.65  % CPULimit : 300
% 0.15/0.65  % WCLimit  : 300
% 0.15/0.65  % DateTime : Tue May 30 12:06:37 EDT 2023
% 0.15/0.66  % CPUTime  : 
% 0.15/0.67  % Drodi V3.5.1
% 0.15/0.69  % Refutation found
% 0.15/0.69  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.69  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.69  % Elapsed time: 0.026716 seconds
% 0.15/0.69  % CPU time: 0.036414 seconds
% 0.15/0.69  % Memory used: 13.232 MB
%------------------------------------------------------------------------------