TPTP Problem File: GEO634+1.p
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% File : GEO634+1 : TPTP v8.2.0. Released v7.5.0.
% Domain : Geometry
% Problem : JGEX problem 97
% 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 : 97.p [Qua20]
% Status : Theorem
% Rating : 0.39 v8.1.0, 0.44 v7.5.0
% Syntax : Number of formulae : 95 ( 0 unt; 0 def)
% Number of atoms : 296 ( 1 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 208 ( 7 ~; 0 |; 106 &)
% ( 0 <=>; 95 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 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 : 534 ( 514 !; 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(exemplo6GDDFULL8110997,conjecture,
! [A,B,C,O,A1,P,Q,S,D,G,NWPNT1,NWPNT2] :
( ( circle(O,A,B,C)
& midp(A1,C,B)
& circle(O,A,P,NWPNT1)
& coll(P,A,A1)
& eqangle(Q,A,A,B,C,A,A,A1)
& circle(O,A,Q,NWPNT2)
& coll(S,B,C)
& coll(S,A,Q)
& perp(D,Q,B,C)
& coll(D,B,C)
& perp(G,Q,A,B)
& coll(G,A,B) )
=> perp(D,G,P,A) ) ).
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