TPTP Problem File: SYN367+1.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : SYN367+1 : TPTP v9.0.0. Released v2.0.0.
% Domain : Syntactic
% Problem : Peter Andrews Problem X2118
% Version : Especial.
% English :
% Refs : [And86] Andrews (1986), An Introduction to Mathematical Logic
% : [And94] Andrews (1994), Email to G. Sutcliffe
% Source : [And94]
% Names : X2118 [And86]
% Status : Theorem
% Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 6 ( 1 ~; 2 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 3 ( 3 !; 0 ?)
% SPC : FOF_THM_EPR_NEQ
% Comments :
%--------------------------------------------------------------------------
fof(x2118,conjecture,
( ! [X] :
( ( p
& big_q(X) )
| ( ~ p
& big_r(X) ) )
=> ( ! [X] : big_q(X)
| ! [X] : big_r(X) ) ) ).
%--------------------------------------------------------------------------