TSTP Solution File: SYN659-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN659-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 12:47:19 EDT 2023

% Result   : Unsatisfiable 0.14s 0.31s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   37 (  16 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   75 (  40   ~;  33   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   45 (;  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
    ! [X87] : p7(X87,X87),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ! [X20] : p14(X20,X20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ! [X13] : p12(X13,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ! [X21,X22,X20] :
      ( p14(X21,X22)
      | ~ p14(X20,X21)
      | ~ p14(X20,X22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,negated_conjecture,
    ~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ! [X67,X68,X70,X69] :
      ( p24(X67,X68)
      | ~ p14(X70,X67)
      | ~ p24(X70,X69)
      | ~ p12(X69,X68) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ! [X23,X24,X25,X26] :
      ( p14(f15(X23,X24),f15(X25,X26))
      | ~ p12(X24,X26)
      | ~ p7(X23,X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f54,plain,
    ! [X0] : p7(X0,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f60,plain,
    ! [X0] : p14(X0,X0),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f61,plain,
    ! [X0] : p12(X0,X0),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f78,plain,
    p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f80,plain,
    p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f95,plain,
    ! [X22,X20] :
      ( ! [X21] :
          ( p14(X21,X22)
          | ~ p14(X20,X21) )
      | ~ p14(X20,X22) ),
    inference(miniscoping,[status(esa)],[f37]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( p14(X0,X1)
      | ~ p14(X2,X0)
      | ~ p14(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f95]) ).

fof(f99,plain,
    ~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f102,plain,
    ! [X68,X69] :
      ( ! [X70] :
          ( ! [X67] :
              ( p24(X67,X68)
              | ~ p14(X70,X67) )
          | ~ p24(X70,X69) )
      | ~ p12(X69,X68) ),
    inference(miniscoping,[status(esa)],[f41]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( p24(X0,X1)
      | ~ p14(X2,X0)
      | ~ p24(X2,X3)
      | ~ p12(X3,X1) ),
    inference(cnf_transformation,[status(esa)],[f102]) ).

fof(f110,plain,
    ! [X23,X25] :
      ( ! [X24,X26] :
          ( p14(f15(X23,X24),f15(X25,X26))
          | ~ p12(X24,X26) )
      | ~ p7(X23,X25) ),
    inference(miniscoping,[status(esa)],[f45]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3] :
      ( p14(f15(X0,X1),f15(X2,X3))
      | ~ p12(X1,X3)
      | ~ p7(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f110]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ p14(X0,f15(c29,f13(f16(c39),f17(c39))))
      | ~ p24(X0,X1)
      | ~ p12(X1,f13(c32,c33)) ),
    inference(resolution,[status(thm)],[f103,f99]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ p14(X0,f15(c29,f13(f16(c39),f17(c39))))
      | ~ p24(X0,f13(c32,c33)) ),
    inference(resolution,[status(thm)],[f127,f61]) ).

fof(f148,plain,
    ~ p14(f15(c29,f13(c40,c41)),f15(c29,f13(f16(c39),f17(c39)))),
    inference(resolution,[status(thm)],[f146,f78]) ).

fof(f153,plain,
    ( spl0_1
  <=> p7(c29,c29) ),
    introduced(split_symbol_definition) ).

fof(f155,plain,
    ( ~ p7(c29,c29)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f153]) ).

fof(f168,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f155,f54]) ).

fof(f169,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f168]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ p14(X0,f15(c29,f13(c40,c41)))
      | ~ p14(X0,f15(c29,f13(f16(c39),f17(c39)))) ),
    inference(resolution,[status(thm)],[f148,f96]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( ~ p14(f15(X0,X1),f15(c29,f13(f16(c39),f17(c39))))
      | ~ p12(X1,f13(c40,c41))
      | ~ p7(X0,c29) ),
    inference(resolution,[status(thm)],[f200,f111]) ).

fof(f277,plain,
    ( spl0_13
  <=> p12(f13(f16(c39),f17(c39)),f13(c40,c41)) ),
    introduced(split_symbol_definition) ).

fof(f279,plain,
    ( ~ p12(f13(f16(c39),f17(c39)),f13(c40,c41))
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f277]) ).

fof(f280,plain,
    ( ~ p12(f13(f16(c39),f17(c39)),f13(c40,c41))
    | ~ p7(c29,c29) ),
    inference(resolution,[status(thm)],[f204,f60]) ).

fof(f281,plain,
    ( ~ spl0_13
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f280,f277,f153]) ).

fof(f282,plain,
    ( $false
    | spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f279,f80]) ).

fof(f283,plain,
    spl0_13,
    inference(contradiction_clause,[status(thm)],[f282]) ).

fof(f284,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f169,f281,f283]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN659-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n027.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 10:46:32 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.30  % Drodi V3.5.1
% 0.14/0.31  % Refutation found
% 0.14/0.31  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.53  % Elapsed time: 0.019926 seconds
% 0.14/0.53  % CPU time: 0.019013 seconds
% 0.14/0.53  % Memory used: 767.826 KB
%------------------------------------------------------------------------------