%------------------------------------------------------------------------------
% File     : TIM032_1 : TPTP v9.3.0. Released v9.3.0.
% Domain   : Time
% Problem  : Mixed relation propagation
% Version  : Especial.
% English  :

% Refs     : [All83] Allen (1983), Maintaining Knowledge about Temporal Int
% Source   : [ChatGPT]
% Names    : AllenH002.p [ChatGPT]

% Status   : Theorem
% Rating   : 0.00 v9.3.0
% Syntax   : Number of formulae    :   30 (   6 unt;  17 typ;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   1   ~;   0   |;   1   &)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   24 (  12   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  12 usr;   0 prp; 2-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (  16   !;   0   ?;  16   :)
% SPC      : TF0_THM_NEQ_NAR

% Comments : This forces repeated inverse rewriting before closure.
%------------------------------------------------------------------------------
include('Axioms/TIM002_0.ax').
%------------------------------------------------------------------------------
tff(a,type,
    a: interval ).

tff(b,type,
    b: interval ).

tff(c,type,
    c: interval ).

tff(d,type,
    d: interval ).

tff(p1,axiom,
    meets(a,b) ).

tff(p2,axiom,
    met_by(c,b) ).

tff(p3,axiom,
    overlaps(c,d) ).

tff(p4,axiom,
    overlapped_by(d,c) ).

tff(goal,conjecture,
    meets(a,b) ).

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