TPTP Problem File: ANA048^1.p
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% File : ANA048^1 : TPTP v9.0.0. Released v7.0.0.
% Domain : Analysis (Exponential and logarithm function)
% Problem : Chart System Math II+B Red Book, Problem 08CR2E074
% 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-08CR2E074.p [Mat16]
% Status : Theorem
% Rating : ? v7.0.0
% Syntax : Number of formulae : 3485 ( 711 unt;1199 typ; 0 def)
% Number of atoms : 8038 (2215 equ; 0 cnn)
% Maximal formula atoms : 40 ( 3 avg)
% Number of connectives : 39669 ( 107 ~; 233 |;1190 &;36013 @)
% (1095 <=>;1031 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 8 avg)
% Number arithmetic : 4495 ( 380 atm;1215 fun; 958 num;1942 var)
% Number of types : 40 ( 36 usr; 3 ari)
% Number of type conns : 2408 (2408 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1212 (1169 usr; 66 con; 0-9 aty)
% Number of variables : 8062 ( 406 ^;7085 !; 435 ?;8062 :)
% ( 136 !>; 0 ?*; 0 @-; 0 @+)
% SPC : TH1_THM_EQU_ARI
% Comments : Theory: PA; Level: 4; Author: Munehiro Kobayashi;
% Generated: 2015-01-08
% : Answer
% ^ [V_answer_dot_0: ( 'ListOf' @ $int )] :
% ( ( V_answer_dot_0
% = ( 'cons/2' @ $int @ 2 @ ( 'cons/2' @ $int @ 3 @ ( 'cons/2' @ $int @ 6 @ ( 'nil/0' @ $int ) ) ) ) )
% | ( V_answer_dot_0
% = ( 'cons/2' @ $int @ 2 @ ( 'cons/2' @ $int @ 4 @ ( 'cons/2' @ $int @ 4 @ ( 'nil/0' @ $int ) ) ) ) )
% | ( V_answer_dot_0
% = ( 'cons/2' @ $int @ 3 @ ( 'cons/2' @ $int @ 3 @ ( 'cons/2' @ $int @ 3 @ ( 'nil/0' @ $int ) ) ) ) ) ) )
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include('Axioms/MAT001^0.ax').
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thf(p_qustion,conjecture,
( 'find/1' @ ( 'ListOf' @ $int )
@ ^ [V_answer: 'ListOf' @ $int] :
? [V_a: $int,V_b: $int,V_c: $int,V_x: $real,V_y: $real,V_z: $real] :
( ( $is_int @ V_a )
& ( $less @ 0 @ V_a )
& ( $is_int @ V_b )
& ( $lesseq @ V_a @ V_b )
& ( $is_int @ V_c )
& ( $lesseq @ V_b @ V_c )
& ( 'real-number/1' @ V_x )
& ( $less @ 0.0 @ V_x )
& ( V_x
!= ( $to_real @ 1 ) )
& ( 'real-number/1' @ V_y )
& ( $less @ 0.0 @ V_y )
& ( V_y
!= ( $to_real @ 1 ) )
& ( 'real-number/1' @ V_z )
& ( $less @ 0.0 @ V_z )
& ( V_z
!= ( $to_real @ 1 ) )
& ( ( '^/2' @ V_x @ ( $to_real @ V_a ) )
= ( $product @ V_x @ ( $product @ V_y @ V_z ) ) )
& ( ( '^/2' @ V_y @ ( $to_real @ V_b ) )
= ( $product @ V_x @ ( $product @ V_y @ V_z ) ) )
& ( ( '^/2' @ V_z @ ( $to_real @ V_c ) )
= ( $product @ V_x @ ( $product @ V_y @ V_z ) ) )
& ( V_answer
= ( 'cons/2' @ $int @ V_a @ ( 'cons/2' @ $int @ V_b @ ( 'cons/2' @ $int @ V_c @ ( 'nil/0' @ $int ) ) ) ) ) ) ) ).
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