TPTP Problem File: ARI640_1.p
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% File : ARI640_1 : TPTP v9.0.0. Released v6.3.0.
% Domain : Arithmetic
% Problem : Example 18
% Version : Especial.
% English :
% Refs : [LAR14] Lewis et al. (2014), A Heuristic Prover for Real Inequ
% : [Lew14] Lewis (2014), Email to Geoff Sutcliffe
% Source : [Lew14]
% Names : Example 18 [Lew14]
% Status : Theorem
% Rating : 0.40 v9.0.0, 0.50 v8.2.0, 0.33 v7.5.0, 0.40 v7.4.0, 0.33 v7.3.0, 0.25 v7.1.0, 0.33 v7.0.0, 0.67 v6.4.0, 1.00 v6.3.0
% Syntax : Number of formulae : 7 ( 5 unt; 2 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 0 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 9 ( 4 atm; 2 fun; 3 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% SPC : TF0_THM_NEQ_ARI
% Comments :
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tff(x_type,type,
x: $real ).
tff(y_type,type,
y: $real ).
tff(hypothesis,hypothesis,
$greater(x,0.0) ).
tff(hypothesis_01,hypothesis,
$greater(y,0.0) ).
tff(hypothesis_02,hypothesis,
$less(y,1.0) ).
tff(hypothesis_03,hypothesis,
$greater($product(x,y),$sum(x,y)) ).
tff(conclusion,conjecture,
$false ).
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