TPTP Problem File: RAL014^1.p

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%------------------------------------------------------------------------------
% File     : RAL014^1 : TPTP v7.5.0. Released v7.0.0.
% Domain   : Real Algebra (Number sequences)
% Problem  : Chart System Math II+B Red Book, Problem 08CRBP120
% Version  : [Mat16] axioms : Especial.
% English  : 

% Refs     : [Mat16] Matsuzaki (2016), Email to Geoff Sutcliffe
%          : [MI+16] Matsuzaki et al. (2016), Race against the Teens - Benc
% Source   : [Mat16]
% Names    : Chart-2B-Red-08CRBP120.p [Mat16]

% Status   : Theorem
% Rating   : ? v7.0.0
% Syntax   : Number of formulae    : 3485 (   0 unit;1199 type;   0 defn)
%            Number of atoms       : 45316 (2209 equality;22705 variable)
%            Maximal formula depth :   35 (   9 average)
%            Number of connectives : 39611 ( 104   ~; 234   |;1175   &;35972   @)
%                                         (1095 <=>;1031  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  : 2408 (2408   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 1247 (1199   :;   0   =;   0  @=)
%                                         (   0  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   : 8057 (  66 sgn;7085   !; 429   ?; 407   ^)
%                                         (8057   :; 136  !>;   0  ?*)
%                                         (   0  @-;   0  @+)
%            Arithmetic symbols    : 1977 (   6 prd;   9 fun;  24 num;1938 var)
% SPC      : TH1_THM_EQU_ARI

% Comments : Theory: PA; Level: 4; Author: Munehiro Kobayashi;
%            Generated: 2015-01-08
%          : Answer
%            ^ [V_s_dot_0: $int] : ( V_s_dot_0 = 334167 ) )
%------------------------------------------------------------------------------
include('Axioms/MAT001^0.ax').
%------------------------------------------------------------------------------
thf(p1_qustion,conjecture,
    ( 'find/1' @ $int
    @ ( ^ [V_s: $int] : 
          ( V_s
          = ( 'int.sum/1'
            @ ( 'int.set-to-list/1'
              @ ( 'set-by-def/1' @ $int
                @ ( ^ [V_m: $int] : 
                      ( ( 'int.is-natural-number/1' @ V_m )
                      & ( $lesseq @ 1 @ V_m )
                      & ( $lesseq @ V_m @ 1000 )
                      & ( ( 'int.is-divisible-by/2' @ V_m @ 2 )
                        | ( 'int.is-divisible-by/2' @ V_m @ 3 ) ) ) ) ) ) ) ) ) )).
%------------------------------------------------------------------------------