TPTP Problem File: SYN326+1.p
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%--------------------------------------------------------------------------
% File : SYN326+1 : TPTP v8.2.0. Released v2.0.0.
% Domain : Syntactic
% Problem : Church problem 46.12 (1)
% Version : Especial.
% English :
% Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% Source : [Chu56]
% Names : 46.12 (1) [Chu56]
% Status : Theorem
% Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0, 0.10 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.22 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 : 9 ( 0 equ)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 8 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 3 ( 2 !; 1 ?)
% SPC : FOF_THM_RFO_NEQ
% Comments :
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fof(church_46_12_1,conjecture,
? [X] :
! [Y,Z] :
( ( ( big_f(Y,Z)
=> ( big_g(Y)
=> big_h(X) ) )
=> big_f(X,X) )
=> ( ( ( big_f(Z,X)
=> big_g(X) )
=> big_h(Z) )
=> ( big_f(X,Y)
=> big_f(Z,Z) ) ) ) ).
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