TPTP Problem File: SET169+4.p
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%--------------------------------------------------------------------------
% File : SET169+4 : TPTP v8.2.0. Released v2.2.0.
% Domain : Set Theory (Naive)
% Problem : Distribution of intersection over union
% Version : [Pas99] axioms.
% English :
% Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% Source : [Pas99]
% Names :
% Status : Theorem
% Rating : 0.58 v8.2.0, 0.67 v8.1.0, 0.64 v7.5.0, 0.62 v7.4.0, 0.53 v7.3.0, 0.55 v7.2.0, 0.52 v7.1.0, 0.43 v7.0.0, 0.53 v6.4.0, 0.54 v6.3.0, 0.58 v6.2.0, 0.60 v6.1.0, 0.70 v5.5.0, 0.85 v5.4.0, 0.86 v5.3.0, 0.89 v5.2.0, 0.85 v5.1.0, 0.86 v5.0.0, 0.88 v4.1.0, 0.87 v4.0.0, 0.88 v3.7.0, 0.80 v3.5.0, 0.84 v3.4.0, 0.89 v3.3.0, 0.86 v3.2.0, 0.91 v3.1.0, 0.78 v2.7.0, 0.83 v2.6.0, 0.86 v2.5.0, 0.88 v2.4.0, 0.50 v2.3.0, 0.33 v2.2.1
% Syntax : Number of formulae : 12 ( 2 unt; 0 def)
% Number of atoms : 30 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 20 ( 2 ~; 2 |; 4 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 0 prp; 2-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 30 !; 1 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments :
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%----Include set theory definitions
include('Axioms/SET006+0.ax').
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fof(thI10,conjecture,
! [A,B,C] : equal_set(intersection(A,union(B,C)),union(intersection(A,B),intersection(A,C))) ).
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