TSTP Solution File: SYN633-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% 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 : n010.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 12:47:16 EDT 2023

% Result   : Unsatisfiable 0.13s 0.51s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   37 (  11 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   67 (  30   ~;  34   |;   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   :   33 (;  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
    ! [X75] : p3(X75,X75),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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(f44,plain,
    ! [X0] : p3(X0,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

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(f241,plain,
    ( spl0_0
  <=> p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    introduced(split_symbol_definition) ).

fof(f242,plain,
    ( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f241]) ).

fof(f244,plain,
    ( spl0_1
  <=> p22(f17(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) ),
    introduced(split_symbol_definition) ).

fof(f245,plain,
    ( p22(f17(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f244]) ).

fof(f247,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(f248,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f247,f241,f244]) ).

fof(f267,plain,
    ! [X0] :
      ( p3(f8(c24),X0)
      | ~ p3(f4(f6(c25,f7(c23,c26))),X0)
      | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f242,f61]) ).

fof(f503,plain,
    ( p3(f8(c24),c23)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f267,f48]) ).

fof(f513,plain,
    ! [X0] :
      ( p3(c23,X0)
      | ~ p3(f8(c24),X0)
      | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f503,f61]) ).

fof(f518,plain,
    ( p3(c23,f8(c24))
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f513,f44]) ).

fof(f519,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f518,f47]) ).

fof(f520,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f519]) ).

fof(f521,plain,
    ( p21(f12(f13(c28,c29)),f12(f13(c28,f17(f6(c25,f7(c23,c26)),c28,c29))))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f245,f77]) ).

fof(f523,plain,
    ( spl0_2
  <=> p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
    introduced(split_symbol_definition) ).

fof(f524,plain,
    ( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f523]) ).

fof(f526,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_1 ),
    inference(resolution,[status(thm)],[f521,f94]) ).

fof(f527,plain,
    ( spl0_0
    | spl0_2
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f526,f241,f523,f244]) ).

fof(f529,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f524,f76]) ).

fof(f530,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f529]) ).

fof(f531,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f248,f520,f527,f530]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : SYN633-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n010.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue May 30 10:20:37 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Drodi V3.5.1
% 0.13/0.51  % Refutation found
% 0.13/0.51  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.51  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.52  % Elapsed time: 0.229447 seconds
% 0.13/0.52  % CPU time: 1.243530 seconds
% 0.13/0.52  % Memory used: 16.062 MB
%------------------------------------------------------------------------------