TPTP Problem File: SYO102^5.p
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% File : SYO102^5 : TPTP v8.2.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem THM101
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0362 [Bro09]
% : THM101 [TPS]
% Status : Theorem
% Rating : 0.08 v8.2.0, 0.09 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.0.0, 0.00 v5.1.0, 0.25 v5.0.0, 0.00 v4.0.1, 0.33 v4.0.0
% Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 20 ( 0 ~; 0 |; 3 &; 14 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 7 ( 0 ^; 7 !; 0 ?; 7 :)
% 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(cP,type,
cP: $i > $i > $o ).
thf(cTHM101,conjecture,
( ( ! [Xx: $i] : ( cP @ Xx @ Xx )
& ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( cP @ Xx @ Xy )
& ( cP @ Xz @ Xy ) )
=> ( cP @ Xx @ Xz ) ) )
=> ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( cP @ Xu @ Xv )
& ( cP @ Xv @ Xw ) )
=> ( cP @ Xu @ Xw ) ) ) ).
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