TSTP Solution File: SYN636-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN636-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 0.40s
% Output   : CNFRefutation 0.13s
% 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(f27,negated_conjecture,
    ! [X69] :
      ( p21(f12(f13(c28,c29)),f12(f13(c28,X69)))
      | ~ p22(X69,f15(f6(c25,f7(c23,c26)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    ! [X18,X19,X20] :
      ( p3(f4(X18),f8(c24))
      | p22(f20(X18,X19,X20),f15(X18))
      | p10(f11(X18,c27,X19),f11(X18,c27,X20)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ! [X18,X19,X20] :
      ( p3(f4(X18),f8(c24))
      | p10(f11(X18,c27,X19),f11(X18,c27,X20))
      | ~ p21(f12(f13(X19,X20)),f12(f13(X19,f20(X18,X19,X20)))) ),
    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(f78,plain,
    ! [X0] :
      ( p21(f12(f13(c28,c29)),f12(f13(c28,X0)))
      | ~ p22(X0,f15(f6(c25,f7(c23,c26)))) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( p3(f4(X0),f8(c24))
      | p22(f20(X0,X1,X2),f15(X0))
      | p10(f11(X0,c27,X1),f11(X0,c27,X2)) ),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f93,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,f20(X0,X1,X2)))) ),
    inference(cnf_transformation,[status(esa)],[f37]) ).

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(f467,plain,
    ( spl0_15
  <=> p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    introduced(split_symbol_definition) ).

fof(f468,plain,
    ( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f467]) ).

fof(f470,plain,
    ( spl0_16
  <=> p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26)))) ),
    introduced(split_symbol_definition) ).

fof(f471,plain,
    ( p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26))))
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f470]) ).

fof(f473,plain,
    ( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26)))) ),
    inference(resolution,[status(thm)],[f90,f76]) ).

fof(f474,plain,
    ( spl0_15
    | spl0_16 ),
    inference(split_clause,[status(thm)],[f473,f467,f470]) ).

fof(f475,plain,
    ( $false
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f468,f98]) ).

fof(f476,plain,
    ~ spl0_15,
    inference(contradiction_clause,[status(thm)],[f475]) ).

fof(f498,plain,
    ( p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29))))
    | ~ spl0_16 ),
    inference(resolution,[status(thm)],[f471,f78]) ).

fof(f530,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(f531,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)],[f530]) ).

fof(f533,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_16 ),
    inference(resolution,[status(thm)],[f498,f93]) ).

fof(f534,plain,
    ( spl0_15
    | spl0_19
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f533,f467,f530,f470]) ).

fof(f536,plain,
    ( $false
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f531,f76]) ).

fof(f537,plain,
    ~ spl0_19,
    inference(contradiction_clause,[status(thm)],[f536]) ).

fof(f538,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f474,f476,f534,f537]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : SYN636-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.32  % Computer : n019.cluster.edu
% 0.08/0.32  % Model    : x86_64 x86_64
% 0.08/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.32  % Memory   : 8042.1875MB
% 0.08/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.32  % CPULimit : 300
% 0.08/0.32  % WCLimit  : 300
% 0.08/0.32  % DateTime : Tue May 30 10:30:25 EDT 2023
% 0.08/0.32  % CPUTime  : 
% 0.08/0.33  % Drodi V3.5.1
% 0.13/0.40  % Refutation found
% 0.13/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41  % Elapsed time: 0.086680 seconds
% 0.13/0.41  % CPU time: 0.379840 seconds
% 0.13/0.41  % Memory used: 9.677 MB
%------------------------------------------------------------------------------