TPTP Problem File: GEO101+1.p

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%--------------------------------------------------------------------------
% File     : GEO101+1 : TPTP v9.0.0. Released v2.4.0.
% Domain   : Geometry (Oriented curves)
% Problem  : Intensification of GEO100+1
% Version  : [EHK99] axioms.
% English  :

% Refs     : [KE99]  Kulik & Eschenbach (1999), A Geometry of Oriented Curv
%          : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% Source   : [KE99]
% Names    : Corollary 2.19 [KE99]

% Status   : Unknown
% Rating   : 1.00 v2.4.0
% Syntax   : Number of formulae    :   17 (   1 unt;   0 def)
%            Number of atoms       :   79 (  15 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :   70 (   8   ~;   9   |;  31   &)
%                                         (   9 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   0 prp; 1-3 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   59 (  47   !;  12   ?)
% SPC      : FOF_UNK_RFO_SEQ

% Comments :
%--------------------------------------------------------------------------
%----Include simple curve axioms
include('Axioms/GEO004+0.ax').
%--------------------------------------------------------------------------
fof(corollary_2_19,conjecture,
    ! [C,C1,P] :
      ( ( part_of(C1,C)
        & C1 != C
        & open(C)
        & end_point(P,C1)
        & end_point(P,C) )
     => ? [Q,R,C2] :
          ( meet(Q,C1,C2)
          & C = sum(C1,C2)
          & P != Q
          & Q != R
          & P != R
          & end_point(R,C2)
          & end_point(R,C) ) ) ).

%--------------------------------------------------------------------------