TPTP Problem File: SYO099^5.p
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% File : SYO099^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem THM78
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0313 [Bro09]
% : THM78 [TPS]
% Status : Theorem
% Rating : 0.12 v9.0.0, 0.17 v8.2.0, 0.18 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 v4.0.0
% Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% Number of atoms : 6 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 16 ( 5 ~; 5 |; 0 &; 6 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 3 usr; 0 con; 1-1 aty)
% Number of variables : 6 ( 0 ^; 4 !; 2 ?; 6 :)
% 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(cG,type,
cG: $i > $o ).
thf(cN,type,
cN: $i > $o ).
thf(cM,type,
cM: $i > $o ).
thf(cTHM78,conjecture,
( ! [R: $i] : ( cM @ R )
| ? [X: $i] :
~ ( cG @ X )
| ~ ( ! [Y: $i] : ( cM @ Y )
| ? [S: $i] : ( cN @ S ) )
| ~ ( ! [Z: $i] :
~ ( cN @ Z )
| ~ ! [T: $i] : ( cG @ T ) ) ) ).
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