TPTP Problem File: GEO638+1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : GEO638+1 : TPTP v9.0.0. Released v7.5.0.
% Domain : Geometry
% Problem : JGEX problem 104
% 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 : 104.p [Qua20]
% Status : Theorem
% Rating : 0.33 v8.1.0, 0.36 v7.5.0
% Syntax : Number of formulae : 95 ( 0 unt; 0 def)
% Number of atoms : 293 ( 1 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 205 ( 7 ~; 0 |; 103 &)
% ( 0 <=>; 95 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 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 : 533 ( 513 !; 20 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments : Taken from JGEX [YCG08], converted by Pedro Quaresma.
%------------------------------------------------------------------------------
include('Axioms/GEO012+0.ax').
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109104,conjecture,
! [A,B,E,G,D,C,F,H,NWPNT1,NWPNT2,NWPNT3] :
( ( midp(E,A,B)
& circle(E,A,NWPNT1,NWPNT2)
& circle(E,A,G,NWPNT3)
& perp(E,G,G,D)
& para(A,D,C,B)
& coll(C,G,D)
& midp(F,C,D)
& perp(H,F,A,B)
& coll(H,A,B) )
=> perp(C,H,D,H) ) ).
%------------------------------------------------------------------------------