TPTP Problem File: GEO598+1.p
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%------------------------------------------------------------------------------
% File : GEO598+1 : TPTP v9.0.0. Released v7.5.0.
% Domain : Geometry
% Problem : JGEX problem 60
% 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 : 60.p [Qua20]
% Status : Theorem
% Rating : 0.42 v9.0.0, 0.47 v8.2.0, 0.44 v8.1.0, 0.50 v7.5.0
% Syntax : Number of formulae : 95 ( 0 unt; 0 def)
% Number of atoms : 292 ( 1 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 204 ( 7 ~; 0 |; 102 &)
% ( 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 : 532 ( 512 !; 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(exemplo6GDDFULL416060,conjecture,
! [A,B,C,D,E,F,G,H,I,NWPNT1] :
( ( circle(D,A,B,C)
& midp(E,C,B)
& midp(F,A,C)
& midp(G,B,A)
& coll(H,D,G)
& circle(D,A,H,NWPNT1)
& perp(I,H,A,C)
& coll(I,A,C) )
=> eqangle(F,G,G,I,I,G,G,E) ) ).
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