TPTP Problem File: SYO234^5.p
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% File : SYO234^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem from BASIC-HO-EQ-THMS
% Version : Especial.
% English :
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0703 [Bro09]
% Status : Theorem
% Rating : 0.12 v9.0.0, 0.10 v8.2.0, 0.23 v8.1.0, 0.27 v7.5.0, 0.14 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.00 v6.2.0, 0.29 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.1.0, 0.40 v4.1.0, 0.33 v4.0.0
% Syntax : Number of formulae : 5 ( 1 unt; 4 typ; 0 def)
% Number of atoms : 3 ( 1 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 5 ( 0 ~; 1 |; 0 &; 4 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 0 con; 2-2 aty)
% Number of variables : 3 ( 2 ^; 0 !; 1 ?; 3 :)
% SPC : TH0_THM_EQU_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(d_type,type,
d: $tType ).
thf(c_type,type,
c: $tType ).
thf(cB,type,
cB: d > c > $o ).
thf(cA,type,
cA: c > d > $o ).
thf(cSV4,conjecture,
? [Xu: c > d > $o] :
( Xu
= ( ^ [Xx: c,Xy: d] :
( ( cA @ Xx @ Xy )
| ( cB @ Xy @ Xx ) ) ) ) ).
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