TPTP Problem File: SYN356^5.p
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% File : SYN356^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem from BASIC-FO-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0893 [Bro09]
% : tps_0319 [Bro09]
% : THM45 [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 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% Number of atoms : 8 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 23 ( 0 ~; 0 |; 4 &; 16 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% 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(cB,type,
cB: $i ).
thf(cQ,type,
cQ: $i > $i > $o ).
thf(cA,type,
cA: $i ).
thf(cR,type,
cR: $i > $i > $o ).
thf(cLX2107,conjecture,
( ( ( cR @ cA @ cB )
& ! [X: $i,Y: $i] :
( ( cR @ X @ Y )
=> ( ( cR @ Y @ X )
& ( cQ @ X @ Y ) ) )
& ! [U: $i,V: $i] :
( ( cQ @ U @ V )
=> ( cQ @ U @ U ) ) )
=> ( ( cQ @ cA @ cA )
& ( cQ @ cB @ cB ) ) ) ).
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