TPTP Problem File: ARI629_1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : ARI629_1 : TPTP v9.0.0. Released v6.3.0.
% Domain : Arithmetic
% Problem : Example 1
% 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 1 [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 : 4 ( 2 unt; 2 typ; 0 def)
% Number of atoms : 2 ( 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 : 4 ( 2 avg)
% Number arithmetic : 10 ( 2 atm; 5 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 : 2 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% SPC : TF0_THM_NEQ_ARI
% Comments :
%------------------------------------------------------------------------------
tff(x_type,type,
x: $real ).
tff(y_type,type,
y: $real ).
tff(hypothesis,hypothesis,
$greater(x,1.0) ).
tff(conclusion,conjecture,
$greatereq($product($sum(1.0,$product(y,y)),x),$sum(1.0,$product(y,y))) ).
%------------------------------------------------------------------------------