TPTP Problem File: SYN345+1.p
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%--------------------------------------------------------------------------
% File : SYN345+1 : TPTP v8.2.0. Released v2.0.0.
% Domain : Syntactic
% Problem : Church problem 46.16 (4)
% Version : Especial.
% English :
% Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% Source : [Chu56]
% Names : 46.16 (4) [Chu56]
% Status : Theorem
% Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.5.0, 0.08 v5.4.0, 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, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.22 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 : 12 ( 0 equ)
% Maximal formula atoms : 12 ( 12 avg)
% Number of connectives : 11 ( 0 ~; 0 |; 1 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 11 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 5 ( 3 !; 2 ?)
% SPC : FOF_THM_RFO_NEQ
% Comments :
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fof(church_46_16_4,conjecture,
! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( ( ( big_f(X1,X2,Y1)
=> big_f(Y2,Y1,Z) )
=> ( big_f(X1,X1,X2)
=> big_f(X1,X2,X2) ) )
=> ( ( ( big_f(X2,Y1,Y2)
=> big_f(Y1,Z,Z) )
=> ( big_f(X1,X2,X2)
=> big_f(X1,X1,X2) ) )
=> ( big_f(Y1,Y2,Z)
=> ( big_f(X2,X2,Y1)
& ( big_f(X1,X1,X2)
<=> big_f(X1,X2,X2) ) ) ) ) ) ).
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