TPTP Problem File: GEO624+1.p
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% File : GEO624+1 : TPTP v8.2.0. Released v7.5.0.
% Domain : Geometry
% Problem : JGEX problem 88
% 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 : 88.p [Qua20]
% Status : Theorem
% Rating : 0.42 v8.2.0, 0.39 v8.1.0, 0.47 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 : 23 ( 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(exemplo6GDDFULL8110988,conjecture,
! [O,X,L,A,Y,B,P,Q,Q1,P1] :
( ( perp(A,L,O,X)
& coll(A,O,X)
& perp(B,L,O,Y)
& coll(B,O,Y)
& coll(L,A,P)
& cong(L,A,L,P)
& coll(L,B,Q)
& cong(L,B,L,Q)
& coll(Q1,L,A)
& coll(Q1,O,Y)
& coll(P1,O,X)
& coll(P1,L,B) )
=> cyclic(O,P,Q,P1) ) ).
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