%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN676-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:52:48 EDT 2024

% Result   : Unsatisfiable 0.14s 0.39s
% Output   : CNFRefutation 0.20s
% 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(f6,negated_conjecture,
    ! [X35] : p2(X35,X35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    p25(c33,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,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(f30,negated_conjecture,
    ! [X36,X37,X35] :
      ( p2(X36,X37)
      | ~ p2(X35,X36)
      | ~ p2(X35,X37) ),
    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(f49,negated_conjecture,
    ! [X44,X45,X46,X47] :
      ( p2(f16(X44,X45),f16(X46,X47))
      | ~ p2(X44,X46)
      | ~ p2(X45,X47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f51,negated_conjecture,
    ! [X43] :
      ( p2(f11(f4(X43),c34),f11(f4(c32),c34))
      | ~ p25(X43,c36)
      | ~ p25(c32,X43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f61,plain,
    ! [X0] : p2(X0,X0),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f66,plain,
    p25(c33,c36),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f67,plain,
    p25(c32,c33),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f74,plain,
    ! [X0] : ~ p2(X0,f16(X0,f9(f17(c31)))),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f89,plain,
    ! [X37,X35] :
      ( ! [X36] :
          ( p2(X36,X37)
          | ~ p2(X35,X36) )
      | ~ p2(X35,X37) ),
    inference(miniscoping,[status(esa)],[f30]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( p2(X0,X1)
      | ~ p2(X2,X0)
      | ~ p2(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f89]) ).

fof(f107,plain,
    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f122,plain,
    ! [X45,X47] :
      ( ! [X44,X46] :
          ( p2(f16(X44,X45),f16(X46,X47))
          | ~ p2(X44,X46) )
      | ~ p2(X45,X47) ),
    inference(miniscoping,[status(esa)],[f49]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3] :
      ( p2(f16(X0,X1),f16(X2,X3))
      | ~ p2(X0,X2)
      | ~ p2(X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f122]) ).

fof(f125,plain,
    ! [X0] :
      ( p2(f11(f4(X0),c34),f11(f4(c32),c34))
      | ~ p25(X0,c36)
      | ~ p25(c32,X0) ),
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | ~ p2(X0,f16(X1,f9(f17(c31)))) ),
    inference(resolution,[status(thm)],[f90,f74]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( ~ p2(X0,X1)
      | ~ p2(X2,f9(f17(c31)))
      | ~ p2(f16(X0,X2),X1) ),
    inference(resolution,[status(thm)],[f123,f133]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | ~ p2(f16(X0,f9(f17(c31))),X1) ),
    inference(resolution,[status(thm)],[f139,f61]) ).

fof(f216,plain,
    ! [X0,X1,X2] :
      ( ~ p2(X0,X1)
      | ~ p2(X2,f16(X0,f9(f17(c31))))
      | ~ p2(X2,X1) ),
    inference(resolution,[status(thm)],[f214,f90]) ).

fof(f244,plain,
    ! [X0] :
      ( ~ p2(f11(f4(c33),c34),X0)
      | ~ p2(f11(f4(c32),c34),X0) ),
    inference(resolution,[status(thm)],[f216,f107]) ).

fof(f318,plain,
    ( spl0_8
  <=> p2(f11(f4(c33),c34),f11(f4(c32),c34)) ),
    introduced(split_symbol_definition) ).

fof(f319,plain,
    ( p2(f11(f4(c33),c34),f11(f4(c32),c34))
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f318]) ).

fof(f321,plain,
    ( spl0_9
  <=> p25(c33,c36) ),
    introduced(split_symbol_definition) ).

fof(f323,plain,
    ( ~ p25(c33,c36)
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f321]) ).

fof(f324,plain,
    ( p2(f11(f4(c33),c34),f11(f4(c32),c34))
    | ~ p25(c33,c36) ),
    inference(resolution,[status(thm)],[f125,f67]) ).

fof(f325,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f324,f318,f321]) ).

fof(f327,plain,
    ( $false
    | spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f323,f66]) ).

fof(f328,plain,
    spl0_9,
    inference(contradiction_clause,[status(thm)],[f327]) ).

fof(f356,plain,
    ( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
    | ~ spl0_8 ),
    inference(resolution,[status(thm)],[f319,f244]) ).

fof(f357,plain,
    ( $false
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f356,f61]) ).

fof(f358,plain,
    ~ spl0_8,
    inference(contradiction_clause,[status(thm)],[f357]) ).

fof(f359,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f325,f328,f358]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN676-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 21:48:58 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.39  % Refutation found
% 0.14/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40  % Elapsed time: 0.045169 seconds
% 0.20/0.40  % CPU time: 0.255505 seconds
% 0.20/0.40  % Total memory used: 9.975 MB
% 0.20/0.40  % Net memory used: 9.848 MB
%------------------------------------------------------------------------------