TPTP Problem File: MSC025^1.p
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% File : MSC025^1 : TPTP v9.0.0. Released v5.5.0.
% Domain : Syntactic
% Problem : Nik's Challenge
% Version : Especial.
% English : Force the $i type to only have two elements, then conjecture the
% existence of a bijection between $o and $i.
% Refs : [Sul13] Sultana (2013), Email to Geoff Sutcliffe
% Source : [Sul13]
% Names :
% Status : Theorem
% Rating : 1.00 v9.0.0, 0.90 v8.2.0, 0.92 v8.1.0, 0.91 v7.5.0, 1.00 v5.5.0
% Syntax : Number of formulae : 5 ( 2 unt; 2 typ; 0 def)
% Number of atoms : 4 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 1 |; 0 &; 2 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 2 !; 1 ?; 3 :)
% SPC : TH0_THM_EQU_NAR
% Comments :
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thf(one,type,
one: $i ).
thf(two,type,
two: $i ).
thf(binary_exhaust,axiom,
! [X: $i] :
( ( X = one )
| ( X = two ) ) ).
thf(binary_distinc,axiom,
one != two ).
thf(goal,conjecture,
? [F: $o > $i] :
! [X: $o] :
( ( F @ X )
!= ( F @ ~ X ) ) ).
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