TPTP Problem File: GEO620+1.p
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%------------------------------------------------------------------------------
% File : GEO620+1 : TPTP v9.0.0. Released v7.5.0.
% Domain : Geometry
% Problem : JGEX problem 82
% Version : [CGZ00] axioms.
% English :
% Refs : [CGZ00] Chou et al. (2000), A Deductive Database Approach to A
% : [YCG08] Ye et al. (2008), An Introduction to Java Geometry Exp
% : [Qua20] Quaresma (2020), Email to Geoff Sutcliffe
% Source : [Qua20]
% Names : 82.p [Qua20]
% Status : Theorem
% Rating : 0.21 v9.0.0, 0.22 v8.1.0, 0.31 v7.5.0
% Syntax : Number of formulae : 95 ( 0 unt; 0 def)
% Number of atoms : 294 ( 1 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 206 ( 7 ~; 0 |; 104 &)
% ( 0 <=>; 95 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 0 prp; 2-8 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 530 ( 510 !; 20 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments : Taken from JGEX [YCG08], converted by Pedro Quaresma.
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include('Axioms/GEO012+0.ax').
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fof(exemplo6GDDFULL8110982,conjecture,
! [A,B,C,O,I,E,J,L] :
( ( eqangle(O,A,A,B,O,A,A,C)
& eqangle(O,B,B,C,O,B,B,A)
& eqangle(O,C,C,A,O,C,C,B)
& perp(I,C,A,O)
& coll(I,A,O)
& perp(A,O,A,E)
& perp(J,C,A,E)
& coll(J,A,E)
& perp(L,C,B,O)
& coll(L,B,O) )
=> coll(I,L,J) ) ).
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