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 :
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%----Include simple curve axioms
include('Axioms/GEO004+0.ax').
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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) ) ) ).
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