TSTP Solution File: SYN326+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN326+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 17:49:25 EDT 2009
% Result : Theorem 0.5s
% Output : Refutation 0.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 3371 ( 0 equ)
% Maximal formula atoms : 3360 ( 374 avg)
% Number of connectives : 4553 (1191 ~;2523 |; 839 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 845 ( 96 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 8 ( 3 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(church_46_12_1,plain,
! [A] :
( ( big_f(A,A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_g(y(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_g(y(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_g(y(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_g(y(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_g(y(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_h(A)
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_h(A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(z(A),A)
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(z(A),A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_g(A)
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_g(A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(A,y(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(A,y(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_h(z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_g(y(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_g(y(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_h(A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_h(A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_g(A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_g(A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_g(y(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_g(y(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_g(y(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_g(y(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_g(y(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_h(A)
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_h(A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(z(A),A)
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(z(A),A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_g(A)
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_g(A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(A,y(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(A,y(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A)) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(y(A),z(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,A)
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_g(y(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,A)
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_g(y(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_h(z(A))
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_g(y(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_h(z(A))
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_g(y(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_g(y(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_g(y(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_g(y(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_h(A)
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_h(A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A)
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(z(A),A)
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(z(A),A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(z(A),A)
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_g(A)
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_g(A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_g(A)
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_h(z(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_h(z(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_h(z(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_h(z(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_h(z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_h(z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(A,A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(A,A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(z(A),A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( ~ big_g(A)
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( big_f(A,y(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) )
& ( ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_f(z(A),z(A))
| ~ big_h(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326+1.tptp',unknown),
[] ).
cnf(155594656,plain,
( big_f(A,A)
| big_g(y(A)) ),
inference(rewrite,[status(thm)],[church_46_12_1]),
[] ).
cnf(155653384,plain,
~ big_f(z(A),z(A)),
inference(rewrite,[status(thm)],[church_46_12_1]),
[] ).
cnf(234361704,plain,
big_g(y(z(A))),
inference(resolution,[status(thm)],[155594656,155653384]),
[] ).
cnf(155694592,plain,
( ~ big_g(A)
| big_h(z(A)) ),
inference(rewrite,[status(thm)],[church_46_12_1]),
[] ).
cnf(155544872,plain,
( big_f(A,A)
| ~ big_h(A) ),
inference(rewrite,[status(thm)],[church_46_12_1]),
[] ).
cnf(234348984,plain,
~ big_h(z(A)),
inference(resolution,[status(thm)],[155544872,155653384]),
[] ).
cnf(234393472,plain,
~ big_g(A),
inference(resolution,[status(thm)],[155694592,234348984]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[234361704,234393472]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% 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,z(A))|big_g(y(A)))&(big_f(A,y(A))|~big_f(z(A),z(A))|~big_f(z(A),z(A))|big_g(y(A)))&(~big_f(z(A),z(A))|~big_f(z(A),z(A))|~big_f(z(A),z(A))|big_g(y(A)))&(big_f(A,A)|big_f(A,A)|big_f(y(A),z(A))|~big_h(A))&(big_f(z(A),A)|big_f(A,A)|big_f(y(A),z(A))|~big_h(A))&(~big_g(A)|big_f(A,A)|big_f(y(A),z(A))|~big_h(A))&(big_f(A,y(A))|big_f(A,A)|big_f(y(A),z(A))|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,A)|big_f(y(A),z(A))|~big_h(A))&(big_f(A,A)|big_h(z(A))|big_f(y(A),z(A))|~big_h(A))&(big_f(z(A),A)|big_h(z(A))|big_f(y(A),z(A))|~big_h(A))&(~big_g(A)|big_h(z(A))|big_f(y(A),z(A))|~big_h(A))&(big_f(A,y(A))|big_h(z(A))|big_f(y(A),z(A))|~big_h(A))&(~big_f(z(A),z(A))|big_h(z(A))|big_f(y(A),z(A))|~big_h(A))&(big_f(A,A)|big_f(A,y(A))|big_f(y(A),z(A))|~big_h(A))&(big_f(z(A),A)|big_f(A,y(A))|big_f(y(A),z(A))|~big_h(A))&(~big_g(A)|big_f(A,y(A))|big_f(y(A),z(A))|~big_h(A))&(big_f(A,y(A))|big_f(A,y(A))|big_f(y(A),z(A))|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,y(A))|big_f(y(A),z(A))|~big_h(A))&(big_f(A,A)|~big_f(z(A),z(A))|big_f(y(A),z(A))|~big_h(A))&(big_f(z(A),A)|~big_f(z(A),z(A))|big_f(y(A),z(A))|~big_h(A))&(~big_g(A)|~big_f(z(A),z(A))|big_f(y(A),z(A))|~big_h(A))&(big_f(A,y(A))|~big_f(z(A),z(A))|big_f(y(A),z(A))|~big_h(A))&(~big_f(z(A),z(A))|~big_f(z(A),z(A))|big_f(y(A),z(A))|~big_h(A))&(big_f(A,A)|big_f(A,A)|big_g(y(A))|~big_h(A))&(big_f(z(A),A)|big_f(A,A)|big_g(y(A))|~big_h(A))&(~big_g(A)|big_f(A,A)|big_g(y(A))|~big_h(A))&(big_f(A,y(A))|big_f(A,A)|big_g(y(A))|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,A)|big_g(y(A))|~big_h(A))&(big_f(A,A)|big_h(z(A))|big_g(y(A))|~big_h(A))&(big_f(z(A),A)|big_h(z(A))|big_g(y(A))|~big_h(A))&(~big_g(A)|big_h(z(A))|big_g(y(A))|~big_h(A))&(big_f(A,y(A))|big_h(z(A))|big_g(y(A))|~big_h(A))&(~big_f(z(A),z(A))|big_h(z(A))|big_g(y(A))|~big_h(A))&(big_f(A,A)|big_f(A,y(A))|big_g(y(A))|~big_h(A))&(big_f(z(A),A)|big_f(A,y(A))|big_g(y(A))|~big_h(A))&(~big_g(A)|big_f(A,y(A))|big_g(y(A))|~big_h(A))&(big_f(A,y(A))|big_f(A,y(A))|big_g(y(A))|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,y(A))|big_g(y(A))|~big_h(A))&(big_f(A,A)|~big_f(z(A),z(A))|big_g(y(A))|~big_h(A))&(big_f(z(A),A)|~big_f(z(A),z(A))|big_g(y(A))|~big_h(A))&(~big_g(A)|~big_f(z(A),z(A))|big_g(y(A))|~big_h(A))&(big_f(A,y(A))|~big_f(z(A),z(A))|big_g(y(A))|~big_h(A))&(~big_f(z(A),z(A))|~big_f(z(A),z(A))|big_g(y(A))|~big_h(A))&(big_f(A,A)|big_f(A,A)|~big_h(A)|~big_h(A))&(big_f(z(A),A)|big_f(A,A)|~big_h(A)|~big_h(A))&(~big_g(A)|big_f(A,A)|~big_h(A)|~big_h(A))&(big_f(A,y(A))|big_f(A,A)|~big_h(A)|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,A)|~big_h(A)|~big_h(A))&(big_f(A,A)|big_h(z(A))|~big_h(A)|~big_h(A))&(big_f(z(A),A)|big_h(z(A))|~big_h(A)|~big_h(A))&(~big_g(A)|big_h(z(A))|~big_h(A)|~big_h(A))&(big_f(A,y(A))|big_h(z(A))|~big_h(A)|~big_h(A))&(~big_f(z(A),z(A))|big_h(z(A))|~big_h(A)|~big_h(A))&(big_f(A,A)|big_f(A,y(A))|~big_h(A)|~big_h(A))&(big_f(z(A),A)|big_f(A,y(A))|~big_h(A)|~big_h(A))&(~big_g(A)|big_f(A,y(A))|~big_h(A)|~big_h(A))&(big_f(A,y(A))|big_f(A,y(A))|~big_h(A)|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,y(A))|~big_h(A)|~big_h(A))&(big_f(A,A)|~big_f(z(A),z(A))|~big_h(A)|~big_h(A))&(big_f(z(A),A)|~big_f(z(A),z(A))|~big_h(A)|~big_h(A))&(~big_g(A)|~big_f(z(A),z(A))|~big_h(A)|~big_h(A))&(big_f(A,y(A))|~big_f(z(A),z(A))|~big_h(A)|~big_h(A))&(~big_f(z(A),z(A))|~big_f(z(A),z(A))|~big_h(A)|~big_h(A))&(big_f(A,A)|big_f(A,A)|big_f(z(A),A)|~big_h(A))&(big_f(z(A),A)|big_f(A,A)|big_f(z(A),A)|~big_h(A))&(~big_g(A)|big_f(A,A)|big_f(z(A),A)|~big_h(A))&(big_f(A,y(A))|big_f(A,A)|big_f(z(A),A)|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,A)|big_f(z(A),A)|~big_h(A))&(big_f(A,A)|big_h(z(A))|big_f(z(A),A)|~big_h(A))&(big_f(z(A),A)|big_h(z(A))|big_f(z(A),A)|~big_h(A))&(~big_g(A)|big_h(z(A))|big_f(z(A),A)|~big_h(A))&(big_f(A,y(A))|big_h(z(A))|big_f(z(A),A)|~big_h(A))&(~big_f(z(A),z(A))|big_h(z(A))|big_f(z(A),A)|~big_h(A))&(big_f(A,A)|big_f(A,y(A))|big_f(z(A),A)|~big_h(A))&(big_f(z(A),A)|big_f(A,y(A))|big_f(z(A),A)|~big_h(A))&(~big_g(A)|big_f(A,y(A))|big_f(z(A),A)|~big_h(A))&(big_f(A,y(A))|big_f(A,y(A))|big_f(z(A),A)|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,y(A))|big_f(z(A),A)|~big_h(A))&(big_f(A,A)|~big_f(z(A),z(A))|big_f(z(A),A)|~big_h(A))&(big_f(z(A),A)|~big_f(z(A),z(A))|big_f(z(A),A)|~big_h(A))&(~big_g(A)|~big_f(z(A),z(A))|big_f(z(A),A)|~big_h(A))&(big_f(A,y(A))|~big_f(z(A),z(A))|big_f(z(A),A)|~big_h(A))&(~big_f(z(A),z(A))|~big_f(z(A),z(A))|big_f(z(A),A)|~big_h(A))&(big_f(A,A)|big_f(A,A)|~big_g(A)|~big_h(A))&(big_f(z(A),A)|big_f(A,A)|~big_g(A)|~big_h(A))&(~big_g(A)|big_f(A,A)|~big_g(A)|~big_h(A))&(big_f(A,y(A))|big_f(A,A)|~big_g(A)|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,A)|~big_g(A)|~big_h(A))&(big_f(A,A)|big_h(z(A))|~big_g(A)|~big_h(A))&(big_f(z(A),A)|big_h(z(A))|~big_g(A)|~big_h(A))&(~big_g(A)|big_h(z(A))|~big_g(A)|~big_h(A))&(big_f(A,y(A))|big_h(z(A))|~big_g(A)|~big_h(A))&(~big_f(z(A),z(A))|big_h(z(A))|~big_g(A)|~big_h(A))&(big_f(A,A)|big_f(A,y(A))|~big_g(A)|~big_h(A))&(big_f(z(A),A)|big_f(A,y(A))|~big_g(A)|~big_h(A))&(~big_g(A)|big_f(A,y(A))|~big_g(A)|~big_h(A))&(big_f(A,y(A))|big_f(A,y(A))|~big_g(A)|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,y(A))|~big_g(A)|~big_h(A))&(big_f(A,A)|~big_f(z(A),z(A))|~big_g(A)|~big_h(A))&(big_f(z(A),A)|~big_f(z(A),z(A))|~big_g(A)|~big_h(A))&(~big_g(A)|~big_f(z(A),z(A))|~big_g(A)|~big_h(A))&(big_f(A,y(A))|~big_f(z(A),z(A))|~big_g(A)|~big_h(A))&(~big_f(z(A),z(A))|~big_f(z(A),z(A))|~big_g(A)|~big_h(A))&(big_f(A,A)|big_f(A,A)|big_f(A,y(A))|~big_h(A))&(big_f(z(A),A)|big_f(A,A)|big_f(A,y(A))|~big_h(A))&(~big_g(A)|big_f(A,A)|big_f(A,y(A))|~big_h(A))&(big_f(A,y(A))|big_f(A,A)|big_f(A,y(A))|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,A)|big_f(A,y(A))|~big_h(A))&(big_f(A,A)|big_h(z(A))|big_f(A,y(A))|~big_h(A))&(big_f(z(A),A)|big_h(z(A))|big_f(A,y(A))|~big_h(A))&(~big_g(A)|big_h(z(A))|big_f(A,y(A))|~big_h(A))&(big_f(A,y(A))|big_h(z(A))|big_f(A,y(A))|~big_h(A))&(~big_f(z(A),z(A))|big_h(z(A))|big_f(A,y(A))|~big_h(A))&(big_f(A,A)|big_f(A,y(A))|big_f(A,y(A))|~big_h(A))&(big_f(z(A),A)|big_f(A,y(A))|big_f(A,y(A))|~big_h(A))&(~big_g(A)|big_f(A,y(A))|big_f(A,y(A))|~big_h(A))&(big_f(A,y(A))|big_f(A,y(A))|big_f(A,y(A))|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,y(A))|big_f(A,y(A))|~big_h(A))&(big_f(A,A)|~big_f(z(A),z(A))|big_f(A,y(A))|~big_h(A))&(big_f(z(A),A)|~big_f(z(A),z(A))|big_f(A,y(A))|~big_h(A))&(~big_g(A)|~big_f(z(A),z(A))|big_f(A,y(A))|~big_h(A))&(big_f(A,y(A))|~big_f(z(A),z(A))|big_f(A,y(A))|~big_h(A))&(~big_f(z(A),z(A))|~big_f(z(A),z(A))|big_f(A,y(A))|~big_h(A))&(big_f(A,A)|big_f(A,A)|~big_f(z(A),z(A))|~big_h(A))&(big_f(z(A),A)|big_f(A,A)|~big_f(z(A),z(A))|~big_h(A))&(~big_g(A)|big_f(A,A)|~big_f(z(A),z(A))|~big_h(A))&(big_f(A,y(A))|big_f(A,A)|~big_f(z(A),z(A))|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,A)|~big_f(z(A),z(A))|~big_h(A))&(big_f(A,A)|big_h(z(A))|~big_f(z(A),z(A))|~big_h(A))&(big_f(z(A),A)|big_h(z(A))|~big_f(z(A),z(A))|~big_h(A))&(~big_g(A)|big_h(z(A))|~big_f(z(A),z(A))|~big_h(A))&(big_f(A,y(A))|big_h(z(A))|~big_f(z(A),z(A))|~big_h(A))&(~big_f(z(A),z(A))|big_h(z(A))|~big_f(z(A),z(A))|~big_h(A))&(big_f(A,A)|big_f(A,y(A))|~big_f(z(A),z(A))|~big_h(A))&(big_f(z(A),A)|big_f(A,y(A))|~big_f(z(A),z(A))|~big_h(A))&(~big_g(A)|big_f(A,y(A))|~big_f(z(A),z(A))|~big_h(A))&(big_f(A,y(A))|big_f(A,y(A))|~big_f(z(A),z(A))|~big_h(A))&(~big_f(z(A),z(A))|big_f(A,y(A))|~big_f(z(A),z(A))|~big_h(A))&(big_f(A,A)|~big_f(z(A),z(A))|~big_f(z(A),z(A))|~big_h(A))&(big_f(z(A),A)|~big_f(z(A),z(A))|~big_f(z(A),z(A))|~big_h(A))&(~big_g(A)|~big_f(z(A),z(A))|~big_f(z(A),z(A))|~big_h(A))&(big_f(A,y(A))|~big_f(z(A),z(A))|~big_f(z(A),z(A))|~big_h(A))&(~big_f(z(A),z(A))|~big_f(z(A),z(A))|~big_f(z(A),z(A))|~big_h(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN326+1.tptp',unknown),[]).
%
% cnf(155594656,plain,(big_f(A,A)|big_g(y(A))),inference(rewrite,[status(thm)],[church_46_12_1]),[]).
%
% cnf(155653384,plain,(~big_f(z(A),z(A))),inference(rewrite,[status(thm)],[church_46_12_1]),[]).
%
% cnf(234361704,plain,(big_g(y(z(A)))),inference(resolution,[status(thm)],[155594656,155653384]),[]).
%
% cnf(155694592,plain,(~big_g(A)|big_h(z(A))),inference(rewrite,[status(thm)],[church_46_12_1]),[]).
%
% cnf(155544872,plain,(big_f(A,A)|~big_h(A)),inference(rewrite,[status(thm)],[church_46_12_1]),[]).
%
% cnf(234348984,plain,(~big_h(z(A))),inference(resolution,[status(thm)],[155544872,155653384]),[]).
%
% cnf(234393472,plain,(~big_g(A)),inference(resolution,[status(thm)],[155694592,234348984]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[234361704,234393472]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------