TPTP Problem File: NUM921_1.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : NUM921_1 : TPTP v9.0.0. Released v5.0.0.
% Domain : Number Theory
% Problem : Increasing function property
% Version : Especial.
% English :
% Refs : [PW06] Prevosto & Waldmann (2006), SPASS+T
% : [Wal10] Waldmann (2010), Email to Geoff Sutcliffe
% Source : [Wal10]
% Names : (21) [PW06]
% Status : Theorem
% Rating : 0.00 v6.2.0, 0.20 v6.1.0, 0.33 v6.0.0, 0.38 v5.4.0, 0.62 v5.3.0, 0.71 v5.2.0, 0.80 v5.1.0, 1.00 v5.0.0
% Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% Number of atoms : 2 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 1 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 6 ( 2 atm; 1 fun; 1 num; 2 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 3 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?; 2 :)
% SPC : TF0_THM_NEQ_ARI
% Comments :
%--------------------------------------------------------------------------
tff(f_type,type,
f: $int > $int ).
tff(co1,conjecture,
( ! [U: $int] : $greater(f(U),U)
=> ! [V: $int] : $less($difference(V,f(V)),0) ) ).
%--------------------------------------------------------------------------