TPTP Problem File: RAL003^1.p
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%------------------------------------------------------------------------------
% File : RAL003^1 : TPTP v9.0.0. 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 ( 711 unt;1199 typ; 0 def)
% Number of atoms : 7877 (2210 equ; 0 cnn)
% Maximal formula atoms : 40 ( 3 avg)
% Number of connectives : 39616 ( 104 ~; 233 |;1175 &;35978 @)
% (1095 <=>;1031 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 8 avg)
% Number arithmetic : 4471 ( 373 atm;1206 fun; 954 num;1938 var)
% Number of types : 40 ( 36 usr; 3 ari)
% Number of type conns : 2408 (2408 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1213 (1168 usr; 67 con; 0-9 aty)
% Number of variables : 8058 ( 406 ^;7085 !; 431 ?;8058 :)
% ( 136 !>; 0 ?*; 0 @-; 0 @+)
% 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 ) ) ) ) ) ).
%------------------------------------------------------------------------------