%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN633-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:52:42 EDT 2024

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (  10 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (  27   ~;  29   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
    ~ p3(c23,f8(c24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ! [X80,X81,X82] : p3(f4(f6(X80,f7(X81,X82))),X81),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ! [X76,X77,X75] :
      ( p3(X76,X77)
      | ~ p3(X75,X76)
      | ~ p3(X75,X77) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,negated_conjecture,
    ~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    ! [X70] :
      ( p21(f12(f13(c28,c29)),f12(f13(c28,X70)))
      | ~ p22(X70,f16(f6(c25,f7(c23,c26)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ! [X9,X10,X11] :
      ( p3(f4(X9),f8(c24))
      | p22(f17(X9,X10,X11),f16(X9))
      | p10(f11(X9,c27,X10),f11(X9,c27,X11)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ! [X9,X10,X11] :
      ( p3(f4(X9),f8(c24))
      | p10(f11(X9,c27,X10),f11(X9,c27,X11))
      | ~ p21(f12(f13(X10,X11)),f12(f13(X10,f17(X9,X10,X11)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,plain,
    ~ p3(c23,f8(c24)),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f48,plain,
    ! [X0,X1,X2] : p3(f4(f6(X0,f7(X1,X2))),X1),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f60,plain,
    ! [X77,X75] :
      ( ! [X76] :
          ( p3(X76,X77)
          | ~ p3(X75,X76) )
      | ~ p3(X75,X77) ),
    inference(miniscoping,[status(esa)],[f17]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( p3(X0,X1)
      | ~ p3(X2,X0)
      | ~ p3(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f60]) ).

fof(f76,plain,
    ~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f77,plain,
    ! [X0] :
      ( p21(f12(f13(c28,c29)),f12(f13(c28,X0)))
      | ~ p22(X0,f16(f6(c25,f7(c23,c26)))) ),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f89,plain,
    ! [X0,X1,X2] :
      ( p3(f4(X0),f8(c24))
      | p22(f17(X0,X1,X2),f16(X0))
      | p10(f11(X0,c27,X1),f11(X0,c27,X2)) ),
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( p3(f4(X0),f8(c24))
      | p10(f11(X0,c27,X1),f11(X0,c27,X2))
      | ~ p21(f12(f13(X1,X2)),f12(f13(X1,f17(X0,X1,X2)))) ),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ p3(X0,c23)
      | ~ p3(X0,f8(c24)) ),
    inference(resolution,[status(thm)],[f61,f47]) ).

fof(f98,plain,
    ! [X0,X1] : ~ p3(f4(f6(X0,f7(c23,X1))),f8(c24)),
    inference(resolution,[status(thm)],[f97,f48]) ).

fof(f164,plain,
    ( spl0_5
  <=> p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    introduced(split_symbol_definition) ).

fof(f165,plain,
    ( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f164]) ).

fof(f167,plain,
    ( spl0_6
  <=> p22(f17(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) ),
    introduced(split_symbol_definition) ).

fof(f168,plain,
    ( p22(f17(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f167]) ).

fof(f170,plain,
    ( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | p22(f17(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) ),
    inference(resolution,[status(thm)],[f89,f76]) ).

fof(f171,plain,
    ( spl0_5
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f170,f164,f167]) ).

fof(f223,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f165,f98]) ).

fof(f224,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f223]) ).

fof(f264,plain,
    ( p21(f12(f13(c28,c29)),f12(f13(c28,f17(f6(c25,f7(c23,c26)),c28,c29))))
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f168,f77]) ).

fof(f584,plain,
    ( spl0_19
  <=> p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
    introduced(split_symbol_definition) ).

fof(f585,plain,
    ( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
    | ~ spl0_19 ),
    inference(component_clause,[status(thm)],[f584]) ).

fof(f587,plain,
    ( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f264,f94]) ).

fof(f588,plain,
    ( spl0_5
    | spl0_19
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f587,f164,f584,f167]) ).

fof(f590,plain,
    ( $false
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f585,f76]) ).

fof(f591,plain,
    ~ spl0_19,
    inference(contradiction_clause,[status(thm)],[f590]) ).

fof(f592,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f171,f224,f588,f591]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN633-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 21:59:04 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.20/0.51  % Refutation found
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.51  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.52  % Elapsed time: 0.168195 seconds
% 0.20/0.52  % CPU time: 1.264691 seconds
% 0.20/0.52  % Total memory used: 21.495 MB
% 0.20/0.52  % Net memory used: 21.108 MB
%------------------------------------------------------------------------------