TPTP Problem File: SYO101^5.p
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% File : SYO101^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem THM83
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0346 [Bro09]
% : THM83 [TPS]
% Status : Theorem
% Rating : 0.12 v9.0.0, 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 v4.0.0
% Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% Number of atoms : 5 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 11 ( 0 ~; 0 |; 1 &; 7 @)
% ( 0 <=>; 3 =>; 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; 1 con; 0-2 aty)
% Number of variables : 5 ( 0 ^; 3 !; 2 ?; 5 :)
% 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(cW,type,
cW: $i ).
thf(cR,type,
cR: $i > $i > $o ).
thf(cP,type,
cP: $i > $o ).
thf(cTHM83,conjecture,
( ! [X: $i] :
? [Y: $i] :
( ( cP @ X )
=> ! [Z: $i] :
( ( cR @ X @ Y )
& ( cP @ Z ) ) )
=> ? [U: $i] :
! [V: $i] :
( ( cP @ V )
=> ( cR @ cW @ U ) ) ) ).
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