%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN664-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 12:47:20 EDT 2023

% Result   : Unsatisfiable 0.10s 0.27s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (  13 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   70 (  38   ~;  30   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   38 (;  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
    ! [X28] : p2(X28,X28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    p25(c33,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    p25(c32,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ! [X96] : ~ p2(X96,f16(X96,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ! [X29,X30,X28] :
      ( p2(X29,X30)
      | ~ p2(X28,X29)
      | ~ p2(X28,X30) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,negated_conjecture,
    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,negated_conjecture,
    ! [X37,X38,X39,X40] :
      ( p2(f16(X37,X38),f16(X39,X40))
      | ~ p2(X37,X39)
      | ~ p2(X38,X40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f50,negated_conjecture,
    ! [X36] :
      ( p2(f11(f4(X36),c34),f11(f4(c32),c34))
      | ~ p25(X36,c36)
      | ~ p25(c32,X36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f61,plain,
    ! [X0] : p2(X0,X0),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f66,plain,
    p25(c33,c36),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f68,plain,
    p25(c32,c33),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f73,plain,
    ! [X0] : ~ p2(X0,f16(X0,f9(f17(c31)))),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f90,plain,
    ! [X30,X28] :
      ( ! [X29] :
          ( p2(X29,X30)
          | ~ p2(X28,X29) )
      | ~ p2(X28,X30) ),
    inference(miniscoping,[status(esa)],[f31]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( p2(X0,X1)
      | ~ p2(X2,X0)
      | ~ p2(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f90]) ).

fof(f106,plain,
    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f118,plain,
    ! [X38,X40] :
      ( ! [X37,X39] :
          ( p2(f16(X37,X38),f16(X39,X40))
          | ~ p2(X37,X39) )
      | ~ p2(X38,X40) ),
    inference(miniscoping,[status(esa)],[f47]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3] :
      ( p2(f16(X0,X1),f16(X2,X3))
      | ~ p2(X0,X2)
      | ~ p2(X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f118]) ).

fof(f123,plain,
    ! [X0] :
      ( p2(f11(f4(X0),c34),f11(f4(c32),c34))
      | ~ p25(X0,c36)
      | ~ p25(c32,X0) ),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | ~ p2(X0,f16(X1,f9(f17(c31)))) ),
    inference(resolution,[status(thm)],[f91,f73]) ).

fof(f137,plain,
    ! [X0,X1,X2] :
      ( ~ p2(X0,X1)
      | ~ p2(X2,f9(f17(c31)))
      | ~ p2(f16(X0,X2),X1) ),
    inference(resolution,[status(thm)],[f119,f131]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | ~ p2(f16(X0,f9(f17(c31))),X1) ),
    inference(resolution,[status(thm)],[f137,f61]) ).

fof(f214,plain,
    ! [X0,X1,X2] :
      ( ~ p2(X0,X1)
      | ~ p2(X2,f16(X0,f9(f17(c31))))
      | ~ p2(X2,X1) ),
    inference(resolution,[status(thm)],[f212,f91]) ).

fof(f242,plain,
    ! [X0] :
      ( ~ p2(f11(f4(c33),c34),X0)
      | ~ p2(f11(f4(c32),c34),X0) ),
    inference(resolution,[status(thm)],[f214,f106]) ).

fof(f304,plain,
    ( spl0_5
  <=> p2(f11(f4(c33),c34),f11(f4(c32),c34)) ),
    introduced(split_symbol_definition) ).

fof(f305,plain,
    ( p2(f11(f4(c33),c34),f11(f4(c32),c34))
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f304]) ).

fof(f307,plain,
    ( spl0_6
  <=> p25(c33,c36) ),
    introduced(split_symbol_definition) ).

fof(f309,plain,
    ( ~ p25(c33,c36)
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f307]) ).

fof(f310,plain,
    ( p2(f11(f4(c33),c34),f11(f4(c32),c34))
    | ~ p25(c33,c36) ),
    inference(resolution,[status(thm)],[f123,f68]) ).

fof(f311,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f310,f304,f307]) ).

fof(f321,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f309,f66]) ).

fof(f322,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f321]) ).

fof(f330,plain,
    ( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
    | ~ spl0_5 ),
    inference(resolution,[status(thm)],[f305,f242]) ).

fof(f331,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f330,f61]) ).

fof(f332,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f331]) ).

fof(f333,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f311,f322,f332]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : SYN664-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n005.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 10:25:36 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.10/0.27  % Refutation found
% 0.10/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.28  % Elapsed time: 0.020351 seconds
% 0.10/0.28  % CPU time: 0.073334 seconds
% 0.10/0.28  % Memory used: 3.256 MB
%------------------------------------------------------------------------------