%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN667-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:52:47 EDT 2024

% Result   : Unsatisfiable 0.20s 0.42s
% 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(f7,negated_conjecture,
    ! [X28] : p2(X28,X28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f13,negated_conjecture,
    p25(c32,c36),
    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(f39,negated_conjecture,
    p2(f11(f4(c32),c34),f18(f11(f4(c36),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(f49,negated_conjecture,
    ! [X35] :
      ( p2(f11(f4(X35),c34),f11(f4(c32),c34))
      | ~ p25(X35,c33)
      | ~ p25(c32,X35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f67,plain,
    p25(c32,c36),
    inference(cnf_transformation,[status(esa)],[f13]) ).

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(f106,plain,
    p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
    inference(cnf_transformation,[status(esa)],[f39]) ).

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(f122,plain,
    ! [X0] :
      ( p2(f11(f4(X0),c34),f11(f4(c32),c34))
      | ~ p25(X0,c33)
      | ~ p25(c32,X0) ),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | ~ p2(X0,f18(X1,f9(f17(c31)))) ),
    inference(resolution,[status(thm)],[f90,f72]) ).

fof(f137,plain,
    ! [X0,X1,X2] :
      ( ~ p2(X0,X1)
      | ~ p2(X2,f9(f17(c31)))
      | ~ p2(f18(X0,X2),X1) ),
    inference(resolution,[status(thm)],[f121,f131]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | ~ p2(f18(X0,f9(f17(c31))),X1) ),
    inference(resolution,[status(thm)],[f137,f61]) ).

fof(f214,plain,
    ! [X0,X1,X2] :
      ( ~ p2(X0,X1)
      | ~ p2(X2,f18(X0,f9(f17(c31))))
      | ~ p2(X2,X1) ),
    inference(resolution,[status(thm)],[f212,f90]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ p2(f11(f4(c36),c34),X0)
      | ~ p2(f11(f4(c32),c34),X0) ),
    inference(resolution,[status(thm)],[f214,f106]) ).

fof(f306,plain,
    ( spl0_6
  <=> p2(f11(f4(c36),c34),f11(f4(c32),c34)) ),
    introduced(split_symbol_definition) ).

fof(f307,plain,
    ( p2(f11(f4(c36),c34),f11(f4(c32),c34))
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f306]) ).

fof(f309,plain,
    ( spl0_7
  <=> p25(c36,c33) ),
    introduced(split_symbol_definition) ).

fof(f311,plain,
    ( ~ p25(c36,c33)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f309]) ).

fof(f312,plain,
    ( p2(f11(f4(c36),c34),f11(f4(c32),c34))
    | ~ p25(c36,c33) ),
    inference(resolution,[status(thm)],[f122,f67]) ).

fof(f313,plain,
    ( spl0_6
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f312,f306,f309]) ).

fof(f315,plain,
    ( $false
    | spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f311,f66]) ).

fof(f316,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f315]) ).

fof(f354,plain,
    ( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f307,f241]) ).

fof(f355,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f354,f61]) ).

fof(f356,plain,
    ~ spl0_6,
    inference(contradiction_clause,[status(thm)],[f355]) ).

fof(f357,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f313,f316,f356]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN667-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n017.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 21:23:48 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.35  % Drodi V3.6.0
% 0.20/0.42  % Refutation found
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44  % Elapsed time: 0.078947 seconds
% 0.20/0.44  % CPU time: 0.498328 seconds
% 0.20/0.44  % Total memory used: 14.467 MB
% 0.20/0.44  % Net memory used: 14.226 MB
%------------------------------------------------------------------------------