TPTP Problem File: SEV485^1.p
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% File : SEV485^1 : TPTP v9.0.0. Released v7.0.0.
% Domain : Analysis
% Problem : FINITE_BOOL
% Version : Especial.
% English :
% Refs : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% Source : [Kal16]
% Names : FINITE_BOOL_.p [Kal16]
% Status : Theorem
% Rating : 0.00 v7.1.0
% Syntax : Number of formulae : 12 ( 1 unt; 9 typ; 0 def)
% Number of atoms : 8 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 18 ( 0 ~; 0 |; 1 &; 17 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 7 ( 0 ^; 3 !; 0 ?; 7 :)
% ( 4 !>; 0 ?*; 0 @-; 0 @+)
% SPC : TH1_THM_EQU_NAR
% Comments : Exported from core HOL Light.
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thf('thf_type_type/nums/num',type,
'type/nums/num': $tType ).
thf('thf_const_const/sets/UNIV',type,
'const/sets/UNIV':
!>[A: $tType] : ( A > $o ) ).
thf('thf_const_const/sets/HAS_SIZE',type,
'const/sets/HAS_SIZE':
!>[A: $tType] : ( ( A > $o ) > 'type/nums/num' > $o ) ).
thf('thf_const_const/sets/FINITE',type,
'const/sets/FINITE':
!>[A: $tType] : ( ( A > $o ) > $o ) ).
thf('thf_const_const/sets/CARD',type,
'const/sets/CARD':
!>[A: $tType] : ( ( A > $o ) > 'type/nums/num' ) ).
thf('thf_const_const/nums/NUMERAL',type,
'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
thf('thf_const_const/nums/BIT1',type,
'const/nums/BIT1': 'type/nums/num' > 'type/nums/num' ).
thf('thf_const_const/nums/BIT0',type,
'const/nums/BIT0': 'type/nums/num' > 'type/nums/num' ).
thf('thf_const_const/nums/_0',type,
'const/nums/_0': 'type/nums/num' ).
thf('thm/sets/HAS_SIZE_',axiom,
! [A: $tType,A0: A > $o,A1: 'type/nums/num'] :
( ( 'const/sets/HAS_SIZE' @ A @ A0 @ A1 )
= ( ( 'const/sets/FINITE' @ A @ A0 )
& ( ( 'const/sets/CARD' @ A @ A0 )
= A1 ) ) ) ).
thf('thm/sets/HAS_SIZE_BOOL_',axiom,
'const/sets/HAS_SIZE' @ $o @ ( 'const/sets/UNIV' @ $o ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT0' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ).
thf('thm/sets/FINITE_BOOL_',conjecture,
'const/sets/FINITE' @ $o @ ( 'const/sets/UNIV' @ $o ) ).
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