TPTP Problem File: RAL003^1.p

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%------------------------------------------------------------------------------
% File     : RAL003^1 : TPTP v7.5.0. Released v7.0.0.
% Domain   : Real Algebra (Numbers and algebraic expressions)
% Problem  : Chart System Math I+A Blue Book, Problem 07CB1P100
% 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-1A-Blue-07CB1P100.p [Mat16]

% Status   : Theorem
% Rating   : ? v7.0.0
% Syntax   : Number of formulae    : 3485 (   0 unit;1199 type;   0 defn)
%            Number of atoms       : 45322 (2210 equality;22707 variable)
%            Maximal formula depth :   35 (   9 average)
%            Number of connectives : 39616 ( 104   ~; 233   |;1175   &;35978   @)
%                                         (1095 <=>;1031  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  : 2408 (2408   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 1248 (1199   :;   0   =;   0  @=)
%                                         (   0  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   : 8058 (  66 sgn;7085   !; 431   ?; 406   ^)
%                                         (8058   :; 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: 2015-01-07
%          : Answer
%            ^ [V_answer_dot_0: ( ''ListOf'' @ $int )] :
%              ( ( V_answer_dot_0
%                = ( 'cons/2' @ $int @ 0 @ ( 'cons/2' @ $int @ -4 @ ( 'nil/0' @ $int ) ) ) )
%              | ( V_answer_dot_0
%                = ( 'cons/2' @ $int @ 1 @ ( 'cons/2' @ $int @ -6 @ ( 'nil/0' @ $int ) ) ) )
%              | ( V_answer_dot_0
%                = ( 'cons/2' @ $int @ -1 @ ( 'cons/2' @ $int @ -6 @ ( 'nil/0' @ $int ) ) ) )
%              | ( V_answer_dot_0
%                = ( 'cons/2' @ $int @ 2 @ ( 'cons/2' @ $int @ 12 @ ( 'nil/0' @ $int ) ) ) )
%              | ( V_answer_dot_0
%                = ( 'cons/2' @ $int @ -2 @ ( 'cons/2' @ $int @ 12 @ ( 'nil/0' @ $int ) ) ) )
%              | ( V_answer_dot_0
%                = ( 'cons/2' @ $int @ 3 @ ( 'cons/2' @ $int @ 2 @ ( 'nil/0' @ $int ) ) ) )
%              | ( V_answer_dot_0
%                = ( 'cons/2' @ $int @ -3 @ ( 'cons/2' @ $int @ 2 @ ( 'nil/0' @ $int ) ) ) ) ) )
%------------------------------------------------------------------------------
include('Axioms/MAT001^0.ax').
%------------------------------------------------------------------------------
thf(p1_qustion,conjecture,
    ( 'find/1' @ ( 'ListOf' @ $int )
    @ ( ^ [V_answer: ( 'ListOf' @ $int )] : 
        ? [V_x: $int,V_y: $int] : 
          ( ( V_answer
            = ( 'cons/2' @ $int @ V_x @ ( 'cons/2' @ $int @ V_y @ ( 'nil/0' @ $int ) ) ) )
          & ( $is_int @ V_x )
          & ( $is_int @ V_y )
          & ( 12
            = ( $sum @ ( $product @ ( 'int.^/2' @ V_x @ 2 ) @ V_y ) @ ( $product @ -3 @ V_y ) ) ) ) ) )).
%------------------------------------------------------------------------------