TPTP Problem File: SYO374^5.p
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% File : SYO374^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem from EXTENSIONALITY
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0758 [Bro09]
% Status : Theorem
% Rating : 0.38 v9.0.0, 0.25 v8.2.0, 0.27 v8.1.0, 0.25 v7.4.0, 0.22 v7.3.0, 0.20 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.50 v6.1.0, 0.33 v5.5.0, 0.40 v5.4.0, 0.75 v4.1.0, 0.67 v4.0.1, 1.00 v4.0.0
% Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% Number of atoms : 0 ( 0 equ; 0 cnn)
% Maximal formula atoms : 0 ( 0 avg)
% Number of connectives : 9 ( 0 ~; 0 |; 0 &; 6 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% SPC : TH0_THM_NEQ_NAR
% Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% project in the Department of Mathematical Sciences at Carnegie
% Mellon University. Distributed under the Creative Commons copyleft
% license: http://creativecommons.org/licenses/by-sa/3.0/
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thf(cN,type,
cN: $i > $i ).
thf(cM,type,
cM: $i > $i ).
thf(cEXT_A_LEIB2,conjecture,
( ! [Xx: $i,Xp: $i > $o] :
( ( Xp @ ( cM @ Xx ) )
<=> ( Xp @ ( cN @ Xx ) ) )
=> ! [Xq: ( $i > $i ) > $o] :
( ( Xq @ cM )
<=> ( Xq @ cN ) ) ) ).
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