TPTP Problem File: GEO587+1.p
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% File : GEO587+1 : TPTP v8.2.0. Released v7.5.0.
% Domain : Geometry
% Problem : JGEX problem 49
% 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 : 49.p [Qua20]
% Status : Theorem
% Rating : 0.42 v7.5.0
% Syntax : Number of formulae : 95 ( 0 unt; 0 def)
% Number of atoms : 291 ( 1 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 203 ( 7 ~; 0 |; 101 &)
% ( 0 <=>; 95 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 531 ( 511 !; 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(exemplo6GDDFULL416049,conjecture,
! [A,C,B,D,P,Q,R,S,O] :
( ( perp(A,C,B,D)
& midp(P,B,A)
& midp(Q,C,B)
& midp(R,D,C)
& midp(S,A,D)
& coll(O,P,R)
& coll(O,Q,S) )
=> cong(O,S,O,R) ) ).
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