TPTP Problem File: REL045+1.p
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% File : REL045+1 : TPTP v9.0.0. Released v4.0.0.
% Domain : Relation Algebra
% Problem : An unfold law
% Version : [Mad95] (equational) axioms.
% English :
% Refs : [Mad95] Maddux (1995), Relation-Algebraic Semantics
% : [Hoe08] Hoefner (2008), Email to G. Sutcliffe
% Source : [Hoe08]
% Names :
% Status : Theorem
% Rating : 0.76 v9.0.0, 0.85 v8.2.0, 0.92 v8.1.0, 0.87 v7.5.0, 0.90 v7.4.0, 0.82 v7.3.0, 0.77 v7.2.0, 0.75 v7.1.0, 0.82 v7.0.0, 0.87 v6.4.0, 0.86 v6.3.0, 0.79 v6.2.0, 0.91 v6.1.0, 0.92 v6.0.0, 1.00 v5.1.0, 0.86 v5.0.0, 0.88 v4.1.0, 0.91 v4.0.1, 0.90 v4.0.0
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 0 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% SPC : FOF_THM_RFO_PEQ
% Comments :
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%---Include axioms for relation algebra
include('Axioms/REL001+0.ax').
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fof(goals,conjecture,
! [X0] : join(X0,composition(composition(X0,converse(X0)),X0)) = composition(composition(X0,converse(X0)),X0) ).
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