TPTP Problem File: SYO218^5.p
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% File : SYO218^5 : TPTP v9.0.0. Released v4.0.0.
% Domain : Syntactic
% Problem : TPS problem THM7B
% Version : Especial.
% English : Half-proved version of thm7 for test purposes.
% Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source : [Bro09]
% Names : tps_0135 [Bro09]
% : THM7B [TPS]
% Status : Theorem
% Rating : 0.12 v9.0.0, 0.20 v8.2.0, 0.38 v8.1.0, 0.36 v7.5.0, 0.14 v7.4.0, 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 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 4 ( 0 ~; 0 |; 0 &; 2 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% Number of variables : 5 ( 2 ^; 3 !; 0 ?; 5 :)
% 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/
% : Polymorphic definitions expanded.
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thf(cTHM7B_pme,conjecture,
! [Xx: $i,Xy: $i] :
( ! [Xq: ( $i > $o ) > $i] :
( ( Xx
= ( Xq
@ ^ [Xz: $i] : ( Xx = Xz ) ) )
=> ( Xy
= ( Xq
@ ^ [Xz: $i] : ( Xy = Xz ) ) ) )
=> ( Xx = Xy ) ) ).
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