TPTP Problem File: ARI729_1.p
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% File : ARI729_1 : TPTP v9.0.0. Released v6.3.0.
% Domain : Arithmetic
% Problem : If floor(X)=floor(Y), the X-Y < 1
% Version : Especial.
% English :
% Refs : [Wal14] Waldmann (2014), Email to Geoff Sutcliffe
% Source : [Wal14]
% Names :
% Status : Theorem
% Rating : 0.38 v7.5.0, 0.40 v7.4.0, 0.50 v7.3.0, 0.67 v7.0.0, 0.43 v6.4.0, 0.33 v6.3.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% Number of atoms : 2 ( 1 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 1 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 7 ( 1 atm; 3 fun; 1 num; 2 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 3 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?; 2 :)
% SPC : TF0_THM_EQU_ARI
% Comments :
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tff(prove,conjecture,
! [X: $real,Y: $real] :
( ( $floor(X) = $floor(Y) )
=> $less($difference(X,Y),1.0) ) ).
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