%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : FLD056-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:16:31 EDT 2024

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   27 (  12   ~;  14   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ! [X,Y] :
      ( less_or_equal(X,Y)
      | less_or_equal(Y,X)
      | ~ defined(X)
      | ~ defined(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,hypothesis,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ~ less_or_equal(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55,plain,
    ! [Y] :
      ( ! [X] :
          ( less_or_equal(X,Y)
          | less_or_equal(Y,X)
          | ~ defined(X) )
      | ~ defined(Y) ),
    inference(miniscoping,[status(esa)],[f18]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
      | less_or_equal(X1,X0)
      | ~ defined(X0)
      | ~ defined(X1) ),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f72,plain,
    defined(a),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f73,plain,
    ~ less_or_equal(a,a),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f74,plain,
    ! [X0] :
      ( less_or_equal(X0,a)
      | less_or_equal(a,X0)
      | ~ defined(X0) ),
    inference(resolution,[status(thm)],[f72,f56]) ).

fof(f75,plain,
    ( spl0_0
  <=> less_or_equal(a,a) ),
    introduced(split_symbol_definition) ).

fof(f76,plain,
    ( less_or_equal(a,a)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f75]) ).

fof(f78,plain,
    ( less_or_equal(a,a)
    | less_or_equal(a,a) ),
    inference(resolution,[status(thm)],[f74,f72]) ).

fof(f79,plain,
    spl0_0,
    inference(split_clause,[status(thm)],[f78,f75]) ).

fof(f80,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f76,f73]) ).

fof(f81,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f80]) ).

fof(f82,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f79,f81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : FLD056-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Apr 29 23:14:26 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37  % Elapsed time: 0.025202 seconds
% 0.12/0.37  % CPU time: 0.052947 seconds
% 0.12/0.37  % Total memory used: 2.069 MB
% 0.12/0.37  % Net memory used: 2.014 MB
%------------------------------------------------------------------------------