%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN666-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% 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(f18,negated_conjecture,
    ! [X96] : ~ p2(X96,f18(X96,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ! [X29,X30,X28] :
      ( p2(X29,X30)
      | ~ p2(X28,X29)
      | ~ p2(X28,X30) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f48,negated_conjecture,
    ! [X43,X44,X45,X46] :
      ( p2(f18(X43,X44),f18(X45,X46))
      | ~ p2(X43,X45)
      | ~ p2(X44,X46) ),
    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(f72,plain,
    ! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f89,plain,
    ! [X30,X28] :
      ( ! [X29] :
          ( p2(X29,X30)
          | ~ p2(X28,X29) )
      | ~ p2(X28,X30) ),
    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(f105,plain,
    p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f120,plain,
    ! [X44,X46] :
      ( ! [X43,X45] :
          ( p2(f18(X43,X44),f18(X45,X46))
          | ~ p2(X43,X45) )
      | ~ p2(X44,X46) ),
    inference(miniscoping,[status(esa)],[f48]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3] :
      ( p2(f18(X0,X1),f18(X2,X3))
      | ~ p2(X0,X2)
      | ~ p2(X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f120]) ).

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(f133,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | ~ p2(X0,f18(X1,f9(f17(c31)))) ),
    inference(resolution,[status(thm)],[f90,f72]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( ~ p2(X0,X1)
      | ~ p2(X2,f9(f17(c31)))
      | ~ p2(f18(X0,X2),X1) ),
    inference(resolution,[status(thm)],[f121,f133]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | ~ p2(f18(X0,f9(f17(c31))),X1) ),
    inference(resolution,[status(thm)],[f143,f61]) ).

fof(f215,plain,
    ! [X0,X1,X2] :
      ( ~ p2(X0,X1)
      | ~ p2(X2,f18(X0,f9(f17(c31))))
      | ~ p2(X2,X1) ),
    inference(resolution,[status(thm)],[f213,f90]) ).

fof(f243,plain,
    ! [X0] :
      ( ~ p2(f11(f4(c33),c34),X0)
      | ~ p2(f11(f4(c32),c34),X0) ),
    inference(resolution,[status(thm)],[f215,f105]) ).

fof(f308,plain,
    ( spl0_6
  <=> p2(f11(f4(c33),c34),f11(f4(c32),c34)) ),
    introduced(split_symbol_definition) ).

fof(f309,plain,
    ( p2(f11(f4(c33),c34),f11(f4(c32),c34))
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f308]) ).

fof(f311,plain,
    ( spl0_7
  <=> p25(c33,c36) ),
    introduced(split_symbol_definition) ).

fof(f313,plain,
    ( ~ p25(c33,c36)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f311]) ).

fof(f314,plain,
    ( p2(f11(f4(c33),c34),f11(f4(c32),c34))
    | ~ p25(c33,c36) ),
    inference(resolution,[status(thm)],[f123,f68]) ).

fof(f315,plain,
    ( spl0_6
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f314,f308,f311]) ).

fof(f325,plain,
    ( $false
    | spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f313,f66]) ).

fof(f326,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f325]) ).

fof(f355,plain,
    ( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f309,f243]) ).

fof(f356,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f355,f61]) ).

fof(f357,plain,
    ~ spl0_6,
    inference(contradiction_clause,[status(thm)],[f356]) ).

fof(f358,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f315,f326,f357]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN666-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 10:45:08 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.5.1
% 0.12/0.37  % Refutation found
% 0.12/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38  % Elapsed time: 0.041499 seconds
% 0.12/0.38  % CPU time: 0.213081 seconds
% 0.12/0.38  % Memory used: 5.275 MB
%------------------------------------------------------------------------------