TPTP Problem File: GEO234+1.p
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% File : GEO234+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% Domain : Geometry (Constructive)
% Problem : Unequally directed lines
% Version : [vPl98] axioms : Especial.
% English :
% Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% Source : [ILTP]
% Names : Therorem 3.8 [vPl98]
% Status : Theorem
% Rating : 0.00 v8.1.0, 0.07 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.07 v6.4.0
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 89 ( 16 ~; 25 |; 25 &)
% ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% SPC : FOF_THM_RFO_NEQ
% Comments : Definitions unfolded, hence Especial.
% Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
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include('Axioms/GEO007+0.ax').
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fof(con,conjecture,
! [L,M,N] :
( unequally_directed_lines(L,reverse_line(M))
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,reverse_line(N)) ) ) ).
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