TPTP Problem File: DAT018_1.p
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%------------------------------------------------------------------------------
% File : DAT018_1 : TPTP v9.0.0. Released v5.0.0.
% Domain : Data Structures
% Problem : Compare elements 5
% Version : [PW06] axioms.
% English :
% Refs : [PW06] Prevosto & Waldmann (2006), SPASS+T
% : [Wal10] Waldmann (2010), Email to Geoff Sutcliffe
% Source : [Wal10]
% Names : (42) [PW06]
% Status : Theorem
% Rating : 0.12 v7.5.0, 0.20 v7.4.0, 0.00 v6.3.0, 0.29 v6.2.0, 0.50 v6.1.0, 0.56 v6.0.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.62 v5.3.0, 0.70 v5.2.0, 0.83 v5.1.0, 0.80 v5.0.0
% Syntax : Number of formulae : 6 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 18 ( 4 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 6 ( 0 ~; 1 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 9 ( 9 fml; 0 var)
% Number arithmetic : 25 ( 5 atm; 4 fun; 8 num; 8 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 0 prp; 2-3 aty)
% Number of functors : 7 ( 2 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 11 !; 1 ?; 12 :)
% SPC : TF0_THM_EQU_ARI
% Comments :
%------------------------------------------------------------------------------
%----Includes axioms for arrays
include('Axioms/DAT001_0.ax').
%------------------------------------------------------------------------------
tff(co1,conjecture,
! [U: array,V: array,W: $int,X: $int] :
( ( ( U = write(write(write(V,W,3),$sum(W,2),2),$sum(W,4),1) )
& $lesseq(W,X)
& $lesseq(X,$sum(W,3)) )
=> ? [Y: $int] :
( $lesseq(X,Y)
& $lesseq(Y,$sum(X,3))
& $lesseq(read(U,Y),3) ) ) ).
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