Vampire-SAT---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYO885^1.330.100 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:50:31 AM UTC 2026

% Result   : Theorem 0.77s 0.43s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  182 (  40 unt;   0 typ;  19 def)
%            Number of atoms       : 29992 (2723 equ;   0 cnn)
%            Maximal formula atoms :  124 ( 164 avg)
%            Number of connectives : 31554 (2657   ~;2535   |; 198   &;26145   @)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  144 (  20 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  : 1602 (1602   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   57 (  55 usr;  50 con; 0-30 aty)
%            Number of variables   :  999 ( 445 sgn 532   !;   2   ?; 999   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_30,type,
    f: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(func_def_32,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_33,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_34,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_35,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(f1,conjecture,
    ? [X0: $i > $i > $i > $i] :
      ( ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a2 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a2 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a2 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a2 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a2 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a2 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a2 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a2 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a0 @ a2 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( X0 @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

thf(f2,negated_conjecture,
    ~ ? [X0: $i > $i > $i > $i] :
        ( ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X0 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f3,plain,
    ! [X0: $i > $i > $i > $i] :
      ( ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    inference(ennf_transformation,[],[f2]) ).

thf(f4,plain,
    ! [X0: $i > $i > $i > $i] :
      ( ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    inference(cnf_transformation,[],[f3]) ).

thf(f5,plain,
    ! [X0: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( ( X0 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X0 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    inference(duplicate_literal_removal,[],[f4]) ).

thf(f6,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X28: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X27: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] :
              ( f @ ( X0 @ Y0 @ Y1 @ Y2 ) @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X2 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) @ ( X4 @ Y0 @ Y1 @ Y2 ) @ ( X5 @ Y0 @ Y1 @ Y2 ) @ ( X6 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X27 @ Y0 @ Y1 @ Y2 ) @ ( X28 @ Y0 @ Y1 @ Y2 )
              @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : b23
                @ Y0
                @ Y1
                @ Y2 ) )
          @ a1
          @ a2
          @ a0 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] :
              ( f @ ( X0 @ Y0 @ Y1 @ Y2 ) @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X2 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) @ ( X4 @ Y0 @ Y1 @ Y2 ) @ ( X5 @ Y0 @ Y1 @ Y2 ) @ ( X6 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X27 @ Y0 @ Y1 @ Y2 ) @ ( X28 @ Y0 @ Y1 @ Y2 )
              @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : b23
                @ Y0
                @ Y1
                @ Y2 ) )
          @ a0
          @ a1
          @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] :
              ( f @ ( X0 @ Y0 @ Y1 @ Y2 ) @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X2 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) @ ( X4 @ Y0 @ Y1 @ Y2 ) @ ( X5 @ Y0 @ Y1 @ Y2 ) @ ( X6 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X27 @ Y0 @ Y1 @ Y2 ) @ ( X28 @ Y0 @ Y1 @ Y2 )
              @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : b23
                @ Y0
                @ Y1
                @ Y2 ) )
          @ a2
          @ a0
          @ a1 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] :
              ( f @ ( X0 @ Y0 @ Y1 @ Y2 ) @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X2 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) @ ( X4 @ Y0 @ Y1 @ Y2 ) @ ( X5 @ Y0 @ Y1 @ Y2 ) @ ( X6 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X27 @ Y0 @ Y1 @ Y2 ) @ ( X28 @ Y0 @ Y1 @ Y2 )
              @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : b23
                @ Y0
                @ Y1
                @ Y2 ) )
          @ a1
          @ a0
          @ a2 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] :
              ( f @ ( X0 @ Y0 @ Y1 @ Y2 ) @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X2 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) @ ( X4 @ Y0 @ Y1 @ Y2 ) @ ( X5 @ Y0 @ Y1 @ Y2 ) @ ( X6 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X27 @ Y0 @ Y1 @ Y2 ) @ ( X28 @ Y0 @ Y1 @ Y2 )
              @ ( ^ [Y3: $i,Y4: $i,Y5: $i] : b23
                @ Y0
                @ Y1
                @ Y2 ) )
          @ a2
          @ a1
          @ a0 ) )
      | ( b12
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b14
       != ( X28 @ a0 @ a2 @ a1 ) )
      | ( b24
       != ( X27 @ a0 @ a2 @ a1 ) )
      | ( b26
       != ( X26 @ a0 @ a2 @ a1 ) )
      | ( b18
       != ( X25 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X24 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X23 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b5
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b22
       != ( X1 @ a0 @ a2 @ a1 ) ) ),
    inference(equality_resolution,[],[f5]) ).

thf(f7,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X28: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X27: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ ( X0 @ a1 @ a2 @ a0 ) @ ( X1 @ a1 @ a2 @ a0 ) @ ( X2 @ a1 @ a2 @ a0 ) @ ( X3 @ a1 @ a2 @ a0 ) @ ( X4 @ a1 @ a2 @ a0 ) @ ( X5 @ a1 @ a2 @ a0 ) @ ( X6 @ a1 @ a2 @ a0 ) @ ( X7 @ a1 @ a2 @ a0 ) @ ( X8 @ a1 @ a2 @ a0 ) @ ( X9 @ a1 @ a2 @ a0 ) @ ( X10 @ a1 @ a2 @ a0 ) @ ( X11 @ a1 @ a2 @ a0 ) @ ( X12 @ a1 @ a2 @ a0 ) @ ( X13 @ a1 @ a2 @ a0 ) @ ( X14 @ a1 @ a2 @ a0 ) @ ( X15 @ a1 @ a2 @ a0 ) @ ( X16 @ a1 @ a2 @ a0 ) @ ( X17 @ a1 @ a2 @ a0 ) @ ( X18 @ a1 @ a2 @ a0 ) @ ( X19 @ a1 @ a2 @ a0 ) @ ( X20 @ a1 @ a2 @ a0 ) @ ( X21 @ a1 @ a2 @ a0 ) @ ( X22 @ a1 @ a2 @ a0 ) @ ( X23 @ a1 @ a2 @ a0 ) @ ( X24 @ a1 @ a2 @ a0 ) @ ( X25 @ a1 @ a2 @ a0 ) @ ( X26 @ a1 @ a2 @ a0 ) @ ( X27 @ a1 @ a2 @ a0 ) @ ( X28 @ a1 @ a2 @ a0 ) @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ ( X0 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ ( X25 @ a0 @ a1 @ a2 ) @ ( X26 @ a0 @ a1 @ a2 ) @ ( X27 @ a0 @ a1 @ a2 ) @ ( X28 @ a0 @ a1 @ a2 ) @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ ( X25 @ a2 @ a0 @ a1 ) @ ( X26 @ a2 @ a0 @ a1 ) @ ( X27 @ a2 @ a0 @ a1 ) @ ( X28 @ a2 @ a0 @ a1 ) @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ ( X25 @ a1 @ a0 @ a2 ) @ ( X26 @ a1 @ a0 @ a2 ) @ ( X27 @ a1 @ a0 @ a2 ) @ ( X28 @ a1 @ a0 @ a2 ) @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ ( X0 @ a2 @ a1 @ a0 ) @ ( X1 @ a2 @ a1 @ a0 ) @ ( X2 @ a2 @ a1 @ a0 ) @ ( X3 @ a2 @ a1 @ a0 ) @ ( X4 @ a2 @ a1 @ a0 ) @ ( X5 @ a2 @ a1 @ a0 ) @ ( X6 @ a2 @ a1 @ a0 ) @ ( X7 @ a2 @ a1 @ a0 ) @ ( X8 @ a2 @ a1 @ a0 ) @ ( X9 @ a2 @ a1 @ a0 ) @ ( X10 @ a2 @ a1 @ a0 ) @ ( X11 @ a2 @ a1 @ a0 ) @ ( X12 @ a2 @ a1 @ a0 ) @ ( X13 @ a2 @ a1 @ a0 ) @ ( X14 @ a2 @ a1 @ a0 ) @ ( X15 @ a2 @ a1 @ a0 ) @ ( X16 @ a2 @ a1 @ a0 ) @ ( X17 @ a2 @ a1 @ a0 ) @ ( X18 @ a2 @ a1 @ a0 ) @ ( X19 @ a2 @ a1 @ a0 ) @ ( X20 @ a2 @ a1 @ a0 ) @ ( X21 @ a2 @ a1 @ a0 ) @ ( X22 @ a2 @ a1 @ a0 ) @ ( X23 @ a2 @ a1 @ a0 ) @ ( X24 @ a2 @ a1 @ a0 ) @ ( X25 @ a2 @ a1 @ a0 ) @ ( X26 @ a2 @ a1 @ a0 ) @ ( X27 @ a2 @ a1 @ a0 ) @ ( X28 @ a2 @ a1 @ a0 ) @ b23 ) )
      | ( b12
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b14
       != ( X28 @ a0 @ a2 @ a1 ) )
      | ( b24
       != ( X27 @ a0 @ a2 @ a1 ) )
      | ( b26
       != ( X26 @ a0 @ a2 @ a1 ) )
      | ( b18
       != ( X25 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X24 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X23 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b5
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b22
       != ( X1 @ a0 @ a2 @ a1 ) ) ),
    inference(beta-eta_normalization,[],[f6]) ).

thf(f8,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
            @ a0
            @ a1
            @ a2 )
          @ ( X0 @ a0 @ a1 @ a2 )
          @ ( X1 @ a0 @ a1 @ a2 )
          @ ( X2 @ a0 @ a1 @ a2 )
          @ ( X3 @ a0 @ a1 @ a2 )
          @ ( X4 @ a0 @ a1 @ a2 )
          @ ( X5 @ a0 @ a1 @ a2 )
          @ ( X6 @ a0 @ a1 @ a2 )
          @ ( X7 @ a0 @ a1 @ a2 )
          @ ( X8 @ a0 @ a1 @ a2 )
          @ ( X9 @ a0 @ a1 @ a2 )
          @ ( X10 @ a0 @ a1 @ a2 )
          @ ( X11 @ a0 @ a1 @ a2 )
          @ ( X12 @ a0 @ a1 @ a2 )
          @ ( X13 @ a0 @ a1 @ a2 )
          @ ( X14 @ a0 @ a1 @ a2 )
          @ ( X15 @ a0 @ a1 @ a2 )
          @ ( X16 @ a0 @ a1 @ a2 )
          @ ( X17 @ a0 @ a1 @ a2 )
          @ ( X18 @ a0 @ a1 @ a2 )
          @ ( X19 @ a0 @ a1 @ a2 )
          @ ( X20 @ a0 @ a1 @ a2 )
          @ ( X21 @ a0 @ a1 @ a2 )
          @ ( X22 @ a0 @ a1 @ a2 )
          @ ( X23 @ a0 @ a1 @ a2 )
          @ ( X24 @ a0 @ a1 @ a2 )
          @ ( X25 @ a0 @ a1 @ a2 )
          @ ( X26 @ a0 @ a1 @ a2 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
            @ a0
            @ a1
            @ a2 )
          @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
            @ a2
            @ a0
            @ a1 )
          @ ( X0 @ a2 @ a0 @ a1 )
          @ ( X1 @ a2 @ a0 @ a1 )
          @ ( X2 @ a2 @ a0 @ a1 )
          @ ( X3 @ a2 @ a0 @ a1 )
          @ ( X4 @ a2 @ a0 @ a1 )
          @ ( X5 @ a2 @ a0 @ a1 )
          @ ( X6 @ a2 @ a0 @ a1 )
          @ ( X7 @ a2 @ a0 @ a1 )
          @ ( X8 @ a2 @ a0 @ a1 )
          @ ( X9 @ a2 @ a0 @ a1 )
          @ ( X10 @ a2 @ a0 @ a1 )
          @ ( X11 @ a2 @ a0 @ a1 )
          @ ( X12 @ a2 @ a0 @ a1 )
          @ ( X13 @ a2 @ a0 @ a1 )
          @ ( X14 @ a2 @ a0 @ a1 )
          @ ( X15 @ a2 @ a0 @ a1 )
          @ ( X16 @ a2 @ a0 @ a1 )
          @ ( X17 @ a2 @ a0 @ a1 )
          @ ( X18 @ a2 @ a0 @ a1 )
          @ ( X19 @ a2 @ a0 @ a1 )
          @ ( X20 @ a2 @ a0 @ a1 )
          @ ( X21 @ a2 @ a0 @ a1 )
          @ ( X22 @ a2 @ a0 @ a1 )
          @ ( X23 @ a2 @ a0 @ a1 )
          @ ( X24 @ a2 @ a0 @ a1 )
          @ ( X25 @ a2 @ a0 @ a1 )
          @ ( X26 @ a2 @ a0 @ a1 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
            @ a2
            @ a0
            @ a1 )
          @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
            @ a1
            @ a0
            @ a2 )
          @ ( X0 @ a1 @ a0 @ a2 )
          @ ( X1 @ a1 @ a0 @ a2 )
          @ ( X2 @ a1 @ a0 @ a2 )
          @ ( X3 @ a1 @ a0 @ a2 )
          @ ( X4 @ a1 @ a0 @ a2 )
          @ ( X5 @ a1 @ a0 @ a2 )
          @ ( X6 @ a1 @ a0 @ a2 )
          @ ( X7 @ a1 @ a0 @ a2 )
          @ ( X8 @ a1 @ a0 @ a2 )
          @ ( X9 @ a1 @ a0 @ a2 )
          @ ( X10 @ a1 @ a0 @ a2 )
          @ ( X11 @ a1 @ a0 @ a2 )
          @ ( X12 @ a1 @ a0 @ a2 )
          @ ( X13 @ a1 @ a0 @ a2 )
          @ ( X14 @ a1 @ a0 @ a2 )
          @ ( X15 @ a1 @ a0 @ a2 )
          @ ( X16 @ a1 @ a0 @ a2 )
          @ ( X17 @ a1 @ a0 @ a2 )
          @ ( X18 @ a1 @ a0 @ a2 )
          @ ( X19 @ a1 @ a0 @ a2 )
          @ ( X20 @ a1 @ a0 @ a2 )
          @ ( X21 @ a1 @ a0 @ a2 )
          @ ( X22 @ a1 @ a0 @ a2 )
          @ ( X23 @ a1 @ a0 @ a2 )
          @ ( X24 @ a1 @ a0 @ a2 )
          @ ( X25 @ a1 @ a0 @ a2 )
          @ ( X26 @ a1 @ a0 @ a2 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
            @ a1
            @ a0
            @ a2 )
          @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
            @ a2
            @ a1
            @ a0 )
          @ ( X0 @ a2 @ a1 @ a0 )
          @ ( X1 @ a2 @ a1 @ a0 )
          @ ( X2 @ a2 @ a1 @ a0 )
          @ ( X3 @ a2 @ a1 @ a0 )
          @ ( X4 @ a2 @ a1 @ a0 )
          @ ( X5 @ a2 @ a1 @ a0 )
          @ ( X6 @ a2 @ a1 @ a0 )
          @ ( X7 @ a2 @ a1 @ a0 )
          @ ( X8 @ a2 @ a1 @ a0 )
          @ ( X9 @ a2 @ a1 @ a0 )
          @ ( X10 @ a2 @ a1 @ a0 )
          @ ( X11 @ a2 @ a1 @ a0 )
          @ ( X12 @ a2 @ a1 @ a0 )
          @ ( X13 @ a2 @ a1 @ a0 )
          @ ( X14 @ a2 @ a1 @ a0 )
          @ ( X15 @ a2 @ a1 @ a0 )
          @ ( X16 @ a2 @ a1 @ a0 )
          @ ( X17 @ a2 @ a1 @ a0 )
          @ ( X18 @ a2 @ a1 @ a0 )
          @ ( X19 @ a2 @ a1 @ a0 )
          @ ( X20 @ a2 @ a1 @ a0 )
          @ ( X21 @ a2 @ a1 @ a0 )
          @ ( X22 @ a2 @ a1 @ a0 )
          @ ( X23 @ a2 @ a1 @ a0 )
          @ ( X24 @ a2 @ a1 @ a0 )
          @ ( X25 @ a2 @ a1 @ a0 )
          @ ( X26 @ a2 @ a1 @ a0 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
            @ a2
            @ a1
            @ a0 )
          @ b23 ) )
      | ( b12
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
          @ a0
          @ a2
          @ a1 ) )
      | ( b14
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
          @ a0
          @ a2
          @ a1 ) )
      | ( b24
       != ( X26 @ a0 @ a2 @ a1 ) )
      | ( b26
       != ( X25 @ a0 @ a2 @ a1 ) )
      | ( b18
       != ( X24 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X23 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b5
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b22
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b24
       != ( X26 @ a1 @ a2 @ a0 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b22 )
      | ( b5
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b9
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b13
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X23 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X24 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X25 @ a1 @ a2 @ a0 ) ) ),
    inference(equality_resolution,[],[f7]) ).

thf(f9,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ ( X0 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ ( X25 @ a0 @ a1 @ a2 ) @ ( X26 @ a0 @ a1 @ a2 ) @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ ( X25 @ a2 @ a0 @ a1 ) @ ( X26 @ a2 @ a0 @ a1 ) @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ ( X25 @ a1 @ a0 @ a2 ) @ ( X26 @ a1 @ a0 @ a2 ) @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ ( X0 @ a2 @ a1 @ a0 ) @ ( X1 @ a2 @ a1 @ a0 ) @ ( X2 @ a2 @ a1 @ a0 ) @ ( X3 @ a2 @ a1 @ a0 ) @ ( X4 @ a2 @ a1 @ a0 ) @ ( X5 @ a2 @ a1 @ a0 ) @ ( X6 @ a2 @ a1 @ a0 ) @ ( X7 @ a2 @ a1 @ a0 ) @ ( X8 @ a2 @ a1 @ a0 ) @ ( X9 @ a2 @ a1 @ a0 ) @ ( X10 @ a2 @ a1 @ a0 ) @ ( X11 @ a2 @ a1 @ a0 ) @ ( X12 @ a2 @ a1 @ a0 ) @ ( X13 @ a2 @ a1 @ a0 ) @ ( X14 @ a2 @ a1 @ a0 ) @ ( X15 @ a2 @ a1 @ a0 ) @ ( X16 @ a2 @ a1 @ a0 ) @ ( X17 @ a2 @ a1 @ a0 ) @ ( X18 @ a2 @ a1 @ a0 ) @ ( X19 @ a2 @ a1 @ a0 ) @ ( X20 @ a2 @ a1 @ a0 ) @ ( X21 @ a2 @ a1 @ a0 ) @ ( X22 @ a2 @ a1 @ a0 ) @ ( X23 @ a2 @ a1 @ a0 ) @ ( X24 @ a2 @ a1 @ a0 ) @ ( X25 @ a2 @ a1 @ a0 ) @ ( X26 @ a2 @ a1 @ a0 ) @ b14 @ b23 ) )
      | ( b12 != b12 )
      | ( b14 != b14 )
      | ( b24
       != ( X26 @ a0 @ a2 @ a1 ) )
      | ( b26
       != ( X25 @ a0 @ a2 @ a1 ) )
      | ( b18
       != ( X24 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X23 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b5
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b22
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b24
       != ( X26 @ a1 @ a2 @ a0 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b22 )
      | ( b5
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b9
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b13
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X23 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X24 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X25 @ a1 @ a2 @ a0 ) ) ),
    inference(beta-eta_normalization,[],[f8]) ).

thf(f10,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ ( X0 @ a2 @ a1 @ a0 ) @ ( X1 @ a2 @ a1 @ a0 ) @ ( X2 @ a2 @ a1 @ a0 ) @ ( X3 @ a2 @ a1 @ a0 ) @ ( X4 @ a2 @ a1 @ a0 ) @ ( X5 @ a2 @ a1 @ a0 ) @ ( X6 @ a2 @ a1 @ a0 ) @ ( X7 @ a2 @ a1 @ a0 ) @ ( X8 @ a2 @ a1 @ a0 ) @ ( X9 @ a2 @ a1 @ a0 ) @ ( X10 @ a2 @ a1 @ a0 ) @ ( X11 @ a2 @ a1 @ a0 ) @ ( X12 @ a2 @ a1 @ a0 ) @ ( X13 @ a2 @ a1 @ a0 ) @ ( X14 @ a2 @ a1 @ a0 ) @ ( X15 @ a2 @ a1 @ a0 ) @ ( X16 @ a2 @ a1 @ a0 ) @ ( X17 @ a2 @ a1 @ a0 ) @ ( X18 @ a2 @ a1 @ a0 ) @ ( X19 @ a2 @ a1 @ a0 ) @ ( X20 @ a2 @ a1 @ a0 ) @ ( X21 @ a2 @ a1 @ a0 ) @ ( X22 @ a2 @ a1 @ a0 ) @ ( X23 @ a2 @ a1 @ a0 ) @ ( X24 @ a2 @ a1 @ a0 ) @ ( X25 @ a2 @ a1 @ a0 ) @ ( X26 @ a2 @ a1 @ a0 ) @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ ( X25 @ a2 @ a0 @ a1 ) @ ( X26 @ a2 @ a0 @ a1 ) @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ ( X25 @ a1 @ a0 @ a2 ) @ ( X26 @ a1 @ a0 @ a2 ) @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ ( X0 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ ( X25 @ a0 @ a1 @ a2 ) @ ( X26 @ a0 @ a1 @ a2 ) @ b14 @ b23 ) )
      | ( b24
       != ( X26 @ a0 @ a2 @ a1 ) )
      | ( b26
       != ( X25 @ a0 @ a2 @ a1 ) )
      | ( b18
       != ( X24 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X23 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b5
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b22
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b24
       != ( X26 @ a1 @ a2 @ a0 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b22 )
      | ( b5
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b9
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b13
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X23 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X24 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X25 @ a1 @ a2 @ a0 ) ) ),
    inference(trivial_inequality_removal,[],[f9]) ).

thf(f11,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
            @ a2
            @ a0
            @ a1 )
          @ ( X0 @ a2 @ a0 @ a1 )
          @ ( X1 @ a2 @ a0 @ a1 )
          @ ( X2 @ a2 @ a0 @ a1 )
          @ ( X3 @ a2 @ a0 @ a1 )
          @ ( X4 @ a2 @ a0 @ a1 )
          @ ( X5 @ a2 @ a0 @ a1 )
          @ ( X6 @ a2 @ a0 @ a1 )
          @ ( X7 @ a2 @ a0 @ a1 )
          @ ( X8 @ a2 @ a0 @ a1 )
          @ ( X9 @ a2 @ a0 @ a1 )
          @ ( X10 @ a2 @ a0 @ a1 )
          @ ( X11 @ a2 @ a0 @ a1 )
          @ ( X12 @ a2 @ a0 @ a1 )
          @ ( X13 @ a2 @ a0 @ a1 )
          @ ( X14 @ a2 @ a0 @ a1 )
          @ ( X15 @ a2 @ a0 @ a1 )
          @ ( X16 @ a2 @ a0 @ a1 )
          @ ( X17 @ a2 @ a0 @ a1 )
          @ ( X18 @ a2 @ a0 @ a1 )
          @ ( X19 @ a2 @ a0 @ a1 )
          @ ( X20 @ a2 @ a0 @ a1 )
          @ ( X21 @ a2 @ a0 @ a1 )
          @ ( X22 @ a2 @ a0 @ a1 )
          @ ( X23 @ a2 @ a0 @ a1 )
          @ ( X24 @ a2 @ a0 @ a1 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
            @ a2
            @ a0
            @ a1 )
          @ b14
          @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
            @ a1
            @ a0
            @ a2 )
          @ ( X0 @ a1 @ a0 @ a2 )
          @ ( X1 @ a1 @ a0 @ a2 )
          @ ( X2 @ a1 @ a0 @ a2 )
          @ ( X3 @ a1 @ a0 @ a2 )
          @ ( X4 @ a1 @ a0 @ a2 )
          @ ( X5 @ a1 @ a0 @ a2 )
          @ ( X6 @ a1 @ a0 @ a2 )
          @ ( X7 @ a1 @ a0 @ a2 )
          @ ( X8 @ a1 @ a0 @ a2 )
          @ ( X9 @ a1 @ a0 @ a2 )
          @ ( X10 @ a1 @ a0 @ a2 )
          @ ( X11 @ a1 @ a0 @ a2 )
          @ ( X12 @ a1 @ a0 @ a2 )
          @ ( X13 @ a1 @ a0 @ a2 )
          @ ( X14 @ a1 @ a0 @ a2 )
          @ ( X15 @ a1 @ a0 @ a2 )
          @ ( X16 @ a1 @ a0 @ a2 )
          @ ( X17 @ a1 @ a0 @ a2 )
          @ ( X18 @ a1 @ a0 @ a2 )
          @ ( X19 @ a1 @ a0 @ a2 )
          @ ( X20 @ a1 @ a0 @ a2 )
          @ ( X21 @ a1 @ a0 @ a2 )
          @ ( X22 @ a1 @ a0 @ a2 )
          @ ( X23 @ a1 @ a0 @ a2 )
          @ ( X24 @ a1 @ a0 @ a2 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
            @ a1
            @ a0
            @ a2 )
          @ b14
          @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
            @ a0
            @ a1
            @ a2 )
          @ ( X0 @ a0 @ a1 @ a2 )
          @ ( X1 @ a0 @ a1 @ a2 )
          @ ( X2 @ a0 @ a1 @ a2 )
          @ ( X3 @ a0 @ a1 @ a2 )
          @ ( X4 @ a0 @ a1 @ a2 )
          @ ( X5 @ a0 @ a1 @ a2 )
          @ ( X6 @ a0 @ a1 @ a2 )
          @ ( X7 @ a0 @ a1 @ a2 )
          @ ( X8 @ a0 @ a1 @ a2 )
          @ ( X9 @ a0 @ a1 @ a2 )
          @ ( X10 @ a0 @ a1 @ a2 )
          @ ( X11 @ a0 @ a1 @ a2 )
          @ ( X12 @ a0 @ a1 @ a2 )
          @ ( X13 @ a0 @ a1 @ a2 )
          @ ( X14 @ a0 @ a1 @ a2 )
          @ ( X15 @ a0 @ a1 @ a2 )
          @ ( X16 @ a0 @ a1 @ a2 )
          @ ( X17 @ a0 @ a1 @ a2 )
          @ ( X18 @ a0 @ a1 @ a2 )
          @ ( X19 @ a0 @ a1 @ a2 )
          @ ( X20 @ a0 @ a1 @ a2 )
          @ ( X21 @ a0 @ a1 @ a2 )
          @ ( X22 @ a0 @ a1 @ a2 )
          @ ( X23 @ a0 @ a1 @ a2 )
          @ ( X24 @ a0 @ a1 @ a2 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
            @ a0
            @ a1
            @ a2 )
          @ b14
          @ b23 ) )
      | ( b24
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
          @ a0
          @ a2
          @ a1 ) )
      | ( b26
       != ( X24 @ a0 @ a2 @ a1 ) )
      | ( b18
       != ( X23 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b5
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b22
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
          @ a0
          @ a2
          @ a1 ) )
      | ( b24
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
          @ a1
          @ a2
          @ a0 ) )
      | ( b22
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
          @ a1
          @ a2
          @ a0 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b5 )
      | ( b9
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b13
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X23 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X24 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X24 @ a2 @ a1 @ a0 ) )
      | ( b5
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b9
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b13
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X21 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X22 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X23 @ a2 @ a1 @ a0 ) ) ),
    inference(equality_resolution,[],[f10]) ).

thf(f12,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ ( X0 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ b24 @ b14 @ b23 ) )
      | ( b24 != b24 )
      | ( b26
       != ( X24 @ a0 @ a2 @ a1 ) )
      | ( b18
       != ( X23 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b5
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b22 != b22 )
      | ( b24 != b24 )
      | ( b22 != b22 )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b5 )
      | ( b9
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b13
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X23 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X24 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X24 @ a2 @ a1 @ a0 ) )
      | ( b5
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b9
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b13
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X21 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X22 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X23 @ a2 @ a1 @ a0 ) ) ),
    inference(beta-eta_normalization,[],[f11]) ).

thf(f13,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ ( X0 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ b24 @ b14 @ b23 ) )
      | ( b24 != b24 )
      | ( b26
       != ( X24 @ a0 @ a2 @ a1 ) )
      | ( b18
       != ( X23 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b5
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b22 != b22 )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b5 )
      | ( b9
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b13
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X23 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X24 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X24 @ a2 @ a1 @ a0 ) )
      | ( b5
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b9
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b13
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X21 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X22 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X23 @ a2 @ a1 @ a0 ) ) ),
    inference(duplicate_literal_removal,[],[f12]) ).

thf(f14,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ ( X0 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ b24 @ b14 @ b23 ) )
      | ( b26
       != ( X24 @ a0 @ a2 @ a1 ) )
      | ( b18
       != ( X23 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b5
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b5 )
      | ( b9
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b13
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X23 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X24 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( X24 @ a2 @ a1 @ a0 ) )
      | ( b5
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b9
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b13
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X21 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X22 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X23 @ a2 @ a1 @ a0 ) ) ),
    inference(trivial_inequality_removal,[],[f13]) ).

thf(f15,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
            @ a1
            @ a0
            @ a2 )
          @ ( X0 @ a1 @ a0 @ a2 )
          @ ( X1 @ a1 @ a0 @ a2 )
          @ ( X2 @ a1 @ a0 @ a2 )
          @ ( X3 @ a1 @ a0 @ a2 )
          @ ( X4 @ a1 @ a0 @ a2 )
          @ ( X5 @ a1 @ a0 @ a2 )
          @ ( X6 @ a1 @ a0 @ a2 )
          @ ( X7 @ a1 @ a0 @ a2 )
          @ ( X8 @ a1 @ a0 @ a2 )
          @ ( X9 @ a1 @ a0 @ a2 )
          @ ( X10 @ a1 @ a0 @ a2 )
          @ ( X11 @ a1 @ a0 @ a2 )
          @ ( X12 @ a1 @ a0 @ a2 )
          @ ( X13 @ a1 @ a0 @ a2 )
          @ ( X14 @ a1 @ a0 @ a2 )
          @ ( X15 @ a1 @ a0 @ a2 )
          @ ( X16 @ a1 @ a0 @ a2 )
          @ ( X17 @ a1 @ a0 @ a2 )
          @ ( X18 @ a1 @ a0 @ a2 )
          @ ( X19 @ a1 @ a0 @ a2 )
          @ ( X20 @ a1 @ a0 @ a2 )
          @ ( X21 @ a1 @ a0 @ a2 )
          @ ( X22 @ a1 @ a0 @ a2 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
            @ a1
            @ a0
            @ a2 )
          @ b24
          @ b14
          @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
            @ a2
            @ a0
            @ a1 )
          @ ( X0 @ a2 @ a0 @ a1 )
          @ ( X1 @ a2 @ a0 @ a1 )
          @ ( X2 @ a2 @ a0 @ a1 )
          @ ( X3 @ a2 @ a0 @ a1 )
          @ ( X4 @ a2 @ a0 @ a1 )
          @ ( X5 @ a2 @ a0 @ a1 )
          @ ( X6 @ a2 @ a0 @ a1 )
          @ ( X7 @ a2 @ a0 @ a1 )
          @ ( X8 @ a2 @ a0 @ a1 )
          @ ( X9 @ a2 @ a0 @ a1 )
          @ ( X10 @ a2 @ a0 @ a1 )
          @ ( X11 @ a2 @ a0 @ a1 )
          @ ( X12 @ a2 @ a0 @ a1 )
          @ ( X13 @ a2 @ a0 @ a1 )
          @ ( X14 @ a2 @ a0 @ a1 )
          @ ( X15 @ a2 @ a0 @ a1 )
          @ ( X16 @ a2 @ a0 @ a1 )
          @ ( X17 @ a2 @ a0 @ a1 )
          @ ( X18 @ a2 @ a0 @ a1 )
          @ ( X19 @ a2 @ a0 @ a1 )
          @ ( X20 @ a2 @ a0 @ a1 )
          @ ( X21 @ a2 @ a0 @ a1 )
          @ ( X22 @ a2 @ a0 @ a1 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
            @ a2
            @ a0
            @ a1 )
          @ b24
          @ b14
          @ b23 ) )
      | ( b26
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
          @ a0
          @ a2
          @ a1 ) )
      | ( b18
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b5
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
          @ a0
          @ a2
          @ a1 ) )
      | ( b5
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
          @ a1
          @ a2
          @ a0 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b9 )
      | ( b13
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b26
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
          @ a1
          @ a2
          @ a0 ) )
      | ( b26
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
          @ a2
          @ a1
          @ a0 ) )
      | ( b5
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
          @ a2
          @ a1
          @ a0 ) )
      | ( b9
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b13
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X21 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X22 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X22 @ a0 @ a1 @ a2 ) )
      | ( b9
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b13
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( b25
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X19 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X20 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X21 @ a0 @ a1 @ a2 ) ) ),
    inference(equality_resolution,[],[f14]) ).

thf(f16,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ b5 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ b5 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ b26 @ b24 @ b14 @ b23 ) )
      | ( b26 != b26 )
      | ( b18
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b5 != b5 )
      | ( b5 != b5 )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b9 )
      | ( b13
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b26 != b26 )
      | ( b26 != b26 )
      | ( b5 != b5 )
      | ( b9
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b13
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X21 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X22 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X22 @ a0 @ a1 @ a2 ) )
      | ( b9
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b13
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( b25
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X19 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X20 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X21 @ a0 @ a1 @ a2 ) ) ),
    inference(beta-eta_normalization,[],[f15]) ).

thf(f17,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ b5 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ b5 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ b26 @ b24 @ b14 @ b23 ) )
      | ( b26 != b26 )
      | ( b18
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b5 != b5 )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b9 )
      | ( b13
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b9
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b13
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X21 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X22 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X22 @ a0 @ a1 @ a2 ) )
      | ( b9
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b13
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( b25
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X19 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X20 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X21 @ a0 @ a1 @ a2 ) ) ),
    inference(duplicate_literal_removal,[],[f16]) ).

thf(f18,plain,
    ! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ b5 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ b5 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ b26 @ b24 @ b14 @ b23 ) )
      | ( b18
       != ( X22 @ a0 @ a2 @ a1 ) )
      | ( b8
       != ( X21 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b9 )
      | ( b13
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X21 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( X22 @ a1 @ a2 @ a0 ) )
      | ( b9
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b13
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X21 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X22 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( X22 @ a0 @ a1 @ a2 ) )
      | ( b9
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b13
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( b25
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X19 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X20 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X21 @ a0 @ a1 @ a2 ) ) ),
    inference(trivial_inequality_removal,[],[f17]) ).

thf(f19,plain,
    ! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ b5
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
            @ a1
            @ a0
            @ a2 )
          @ ( X0 @ a1 @ a0 @ a2 )
          @ ( X1 @ a1 @ a0 @ a2 )
          @ ( X2 @ a1 @ a0 @ a2 )
          @ ( X3 @ a1 @ a0 @ a2 )
          @ ( X4 @ a1 @ a0 @ a2 )
          @ ( X5 @ a1 @ a0 @ a2 )
          @ ( X6 @ a1 @ a0 @ a2 )
          @ ( X7 @ a1 @ a0 @ a2 )
          @ ( X8 @ a1 @ a0 @ a2 )
          @ ( X9 @ a1 @ a0 @ a2 )
          @ ( X10 @ a1 @ a0 @ a2 )
          @ ( X11 @ a1 @ a0 @ a2 )
          @ ( X12 @ a1 @ a0 @ a2 )
          @ ( X13 @ a1 @ a0 @ a2 )
          @ ( X14 @ a1 @ a0 @ a2 )
          @ ( X15 @ a1 @ a0 @ a2 )
          @ ( X16 @ a1 @ a0 @ a2 )
          @ ( X17 @ a1 @ a0 @ a2 )
          @ ( X18 @ a1 @ a0 @ a2 )
          @ ( X19 @ a1 @ a0 @ a2 )
          @ ( X20 @ a1 @ a0 @ a2 )
          @ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
            @ a1
            @ a0
            @ a2 )
          @ b26
          @ b24
          @ b14
          @ b23 ) )
      | ( b18
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
          @ a0
          @ a2
          @ a1 ) )
      | ( b8
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b9
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
          @ a0
          @ a2
          @ a1 ) )
      | ( b9
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
          @ a1
          @ a2
          @ a0 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b13 )
      | ( b25
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b18
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
          @ a1
          @ a2
          @ a0 ) )
      | ( b9
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
          @ a2
          @ a1
          @ a0 ) )
      | ( b13
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( b18
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
          @ a2
          @ a1
          @ a0 ) )
      | ( b18
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
          @ a0
          @ a1
          @ a2 ) )
      | ( b9
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
          @ a0
          @ a1
          @ a2 ) )
      | ( b13
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b25
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X19 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X20 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X20 @ a2 @ a0 @ a1 ) )
      | ( b13
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( b25
       != ( X1 @ a2 @ a0 @ a1 ) )
      | ( b0
       != ( X2 @ a2 @ a0 @ a1 ) )
      | ( b16
       != ( X3 @ a2 @ a0 @ a1 ) )
      | ( b19
       != ( X4 @ a2 @ a0 @ a1 ) )
      | ( b1
       != ( X5 @ a2 @ a0 @ a1 ) )
      | ( b2
       != ( X6 @ a2 @ a0 @ a1 ) )
      | ( b15
       != ( X7 @ a2 @ a0 @ a1 ) )
      | ( b7
       != ( X8 @ a2 @ a0 @ a1 ) )
      | ( b21
       != ( X9 @ a2 @ a0 @ a1 ) )
      | ( b10
       != ( X10 @ a2 @ a0 @ a1 ) )
      | ( b3
       != ( X11 @ a2 @ a0 @ a1 ) )
      | ( b6
       != ( X12 @ a2 @ a0 @ a1 ) )
      | ( b4
       != ( X13 @ a2 @ a0 @ a1 ) )
      | ( b20
       != ( X14 @ a2 @ a0 @ a1 ) )
      | ( b17
       != ( X15 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X16 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X17 @ a2 @ a0 @ a1 ) )
      | ( b11
       != ( X18 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X19 @ a2 @ a0 @ a1 ) ) ),
    inference(equality_resolution,[],[f18]) ).

thf(f20,plain,
    ! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( b18 != b18 )
      | ( b8
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b9 != b9 )
      | ( b9 != b9 )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b13 )
      | ( b25
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b18 != b18 )
      | ( b9 != b9 )
      | ( b13
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( b18 != b18 )
      | ( b18 != b18 )
      | ( b9 != b9 )
      | ( b13
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b25
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X19 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X20 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X20 @ a2 @ a0 @ a1 ) )
      | ( b13
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( b25
       != ( X1 @ a2 @ a0 @ a1 ) )
      | ( b0
       != ( X2 @ a2 @ a0 @ a1 ) )
      | ( b16
       != ( X3 @ a2 @ a0 @ a1 ) )
      | ( b19
       != ( X4 @ a2 @ a0 @ a1 ) )
      | ( b1
       != ( X5 @ a2 @ a0 @ a1 ) )
      | ( b2
       != ( X6 @ a2 @ a0 @ a1 ) )
      | ( b15
       != ( X7 @ a2 @ a0 @ a1 ) )
      | ( b7
       != ( X8 @ a2 @ a0 @ a1 ) )
      | ( b21
       != ( X9 @ a2 @ a0 @ a1 ) )
      | ( b10
       != ( X10 @ a2 @ a0 @ a1 ) )
      | ( b3
       != ( X11 @ a2 @ a0 @ a1 ) )
      | ( b6
       != ( X12 @ a2 @ a0 @ a1 ) )
      | ( b4
       != ( X13 @ a2 @ a0 @ a1 ) )
      | ( b20
       != ( X14 @ a2 @ a0 @ a1 ) )
      | ( b17
       != ( X15 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X16 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X17 @ a2 @ a0 @ a1 ) )
      | ( b11
       != ( X18 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X19 @ a2 @ a0 @ a1 ) ) ),
    inference(beta-eta_normalization,[],[f19]) ).

thf(f21,plain,
    ! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( b18 != b18 )
      | ( b8
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b9 != b9 )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b13 )
      | ( b25
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b13
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( b13
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b25
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X19 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X20 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X20 @ a2 @ a0 @ a1 ) )
      | ( b13
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( b25
       != ( X1 @ a2 @ a0 @ a1 ) )
      | ( b0
       != ( X2 @ a2 @ a0 @ a1 ) )
      | ( b16
       != ( X3 @ a2 @ a0 @ a1 ) )
      | ( b19
       != ( X4 @ a2 @ a0 @ a1 ) )
      | ( b1
       != ( X5 @ a2 @ a0 @ a1 ) )
      | ( b2
       != ( X6 @ a2 @ a0 @ a1 ) )
      | ( b15
       != ( X7 @ a2 @ a0 @ a1 ) )
      | ( b7
       != ( X8 @ a2 @ a0 @ a1 ) )
      | ( b21
       != ( X9 @ a2 @ a0 @ a1 ) )
      | ( b10
       != ( X10 @ a2 @ a0 @ a1 ) )
      | ( b3
       != ( X11 @ a2 @ a0 @ a1 ) )
      | ( b6
       != ( X12 @ a2 @ a0 @ a1 ) )
      | ( b4
       != ( X13 @ a2 @ a0 @ a1 ) )
      | ( b20
       != ( X14 @ a2 @ a0 @ a1 ) )
      | ( b17
       != ( X15 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X16 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X17 @ a2 @ a0 @ a1 ) )
      | ( b11
       != ( X18 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X19 @ a2 @ a0 @ a1 ) ) ),
    inference(duplicate_literal_removal,[],[f20]) ).

thf(f22,plain,
    ! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
      ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( b8
       != ( X20 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X19 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( ( X0 @ a1 @ a2 @ a0 )
       != b13 )
      | ( b25
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X19 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( X20 @ a1 @ a2 @ a0 ) )
      | ( b13
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X19 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( X20 @ a2 @ a1 @ a0 ) )
      | ( b13
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b25
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X19 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X20 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( X20 @ a2 @ a0 @ a1 ) )
      | ( b13
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( b25
       != ( X1 @ a2 @ a0 @ a1 ) )
      | ( b0
       != ( X2 @ a2 @ a0 @ a1 ) )
      | ( b16
       != ( X3 @ a2 @ a0 @ a1 ) )
      | ( b19
       != ( X4 @ a2 @ a0 @ a1 ) )
      | ( b1
       != ( X5 @ a2 @ a0 @ a1 ) )
      | ( b2
       != ( X6 @ a2 @ a0 @ a1 ) )
      | ( b15
       != ( X7 @ a2 @ a0 @ a1 ) )
      | ( b7
       != ( X8 @ a2 @ a0 @ a1 ) )
      | ( b21
       != ( X9 @ a2 @ a0 @ a1 ) )
      | ( b10
       != ( X10 @ a2 @ a0 @ a1 ) )
      | ( b3
       != ( X11 @ a2 @ a0 @ a1 ) )
      | ( b6
       != ( X12 @ a2 @ a0 @ a1 ) )
      | ( b4
       != ( X13 @ a2 @ a0 @ a1 ) )
      | ( b20
       != ( X14 @ a2 @ a0 @ a1 ) )
      | ( b17
       != ( X15 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X16 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X17 @ a2 @ a0 @ a1 ) )
      | ( b11
       != ( X18 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X19 @ a2 @ a0 @ a1 ) ) ),
    inference(trivial_inequality_removal,[],[f21]) ).

thf(f23,plain,
    ! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
      ( ( b8
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
          @ a0
          @ a2
          @ a1 ) )
      | ( a2
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b13
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
          @ a0
          @ a2
          @ a1 ) )
      | ( b13
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
          @ a1
          @ a2
          @ a0 ) )
      | ( b25
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X0 @ a1 @ a2 @ a0 ) )
      | ( b8
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
          @ a1
          @ a2
          @ a0 ) )
      | ( b13
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
          @ a2
          @ a1
          @ a0 ) )
      | ( b25
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b8
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
          @ a2
          @ a1
          @ a0 ) )
      | ( b13
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
          @ a0
          @ a1
          @ a2 ) )
      | ( b25
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b8
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
          @ a0
          @ a1
          @ a2 ) )
      | ( b8
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
          @ a2
          @ a0
          @ a1 ) )
      | ( b13
       != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
          @ a2
          @ a0
          @ a1 ) )
      | ( b25
       != ( X18 @ a2 @ a0 @ a1 ) )
      | ( b0
       != ( X17 @ a2 @ a0 @ a1 ) )
      | ( b16
       != ( X16 @ a2 @ a0 @ a1 ) )
      | ( b19
       != ( X15 @ a2 @ a0 @ a1 ) )
      | ( b1
       != ( X14 @ a2 @ a0 @ a1 ) )
      | ( b2
       != ( X13 @ a2 @ a0 @ a1 ) )
      | ( b15
       != ( X12 @ a2 @ a0 @ a1 ) )
      | ( b7
       != ( X11 @ a2 @ a0 @ a1 ) )
      | ( b21
       != ( X10 @ a2 @ a0 @ a1 ) )
      | ( b10
       != ( X9 @ a2 @ a0 @ a1 ) )
      | ( b3
       != ( X8 @ a2 @ a0 @ a1 ) )
      | ( b6
       != ( X7 @ a2 @ a0 @ a1 ) )
      | ( b4
       != ( X6 @ a2 @ a0 @ a1 ) )
      | ( b20
       != ( X5 @ a2 @ a0 @ a1 ) )
      | ( b17
       != ( X4 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X3 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X2 @ a2 @ a0 @ a1 ) )
      | ( b11
       != ( X1 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X0 @ a1 @ a0 @ a2 ) )
      | ( b25
       != ( X18 @ a1 @ a0 @ a2 ) )
      | ( b0
       != ( X17 @ a1 @ a0 @ a2 ) )
      | ( b16
       != ( X16 @ a1 @ a0 @ a2 ) )
      | ( b19
       != ( X15 @ a1 @ a0 @ a2 ) )
      | ( b1
       != ( X14 @ a1 @ a0 @ a2 ) )
      | ( b2
       != ( X13 @ a1 @ a0 @ a2 ) )
      | ( b15
       != ( X12 @ a1 @ a0 @ a2 ) )
      | ( b7
       != ( X11 @ a1 @ a0 @ a2 ) )
      | ( b21
       != ( X10 @ a1 @ a0 @ a2 ) )
      | ( b10
       != ( X9 @ a1 @ a0 @ a2 ) )
      | ( b3
       != ( X8 @ a1 @ a0 @ a2 ) )
      | ( b6
       != ( X7 @ a1 @ a0 @ a2 ) )
      | ( b4
       != ( X6 @ a1 @ a0 @ a2 ) )
      | ( b20
       != ( X5 @ a1 @ a0 @ a2 ) )
      | ( b17
       != ( X4 @ a1 @ a0 @ a2 ) )
      | ( a0
       != ( X3 @ a1 @ a0 @ a2 ) )
      | ( a0
       != ( X2 @ a1 @ a0 @ a2 ) )
      | ( b11
       != ( X1 @ a1 @ a0 @ a2 ) ) ),
    inference(equality_resolution,[],[f22]) ).

thf(f24,plain,
    ! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
      ( ( b8 != b8 )
      | ( a2
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b13 != b13 )
      | ( b13 != b13 )
      | ( b25
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X0 @ a1 @ a2 @ a0 ) )
      | ( b8 != b8 )
      | ( b13 != b13 )
      | ( b25
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b8 != b8 )
      | ( b13 != b13 )
      | ( b25
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b8 != b8 )
      | ( b8 != b8 )
      | ( b13 != b13 )
      | ( b25
       != ( X18 @ a2 @ a0 @ a1 ) )
      | ( b0
       != ( X17 @ a2 @ a0 @ a1 ) )
      | ( b16
       != ( X16 @ a2 @ a0 @ a1 ) )
      | ( b19
       != ( X15 @ a2 @ a0 @ a1 ) )
      | ( b1
       != ( X14 @ a2 @ a0 @ a1 ) )
      | ( b2
       != ( X13 @ a2 @ a0 @ a1 ) )
      | ( b15
       != ( X12 @ a2 @ a0 @ a1 ) )
      | ( b7
       != ( X11 @ a2 @ a0 @ a1 ) )
      | ( b21
       != ( X10 @ a2 @ a0 @ a1 ) )
      | ( b10
       != ( X9 @ a2 @ a0 @ a1 ) )
      | ( b3
       != ( X8 @ a2 @ a0 @ a1 ) )
      | ( b6
       != ( X7 @ a2 @ a0 @ a1 ) )
      | ( b4
       != ( X6 @ a2 @ a0 @ a1 ) )
      | ( b20
       != ( X5 @ a2 @ a0 @ a1 ) )
      | ( b17
       != ( X4 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X3 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X2 @ a2 @ a0 @ a1 ) )
      | ( b11
       != ( X1 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X0 @ a1 @ a0 @ a2 ) )
      | ( b25
       != ( X18 @ a1 @ a0 @ a2 ) )
      | ( b0
       != ( X17 @ a1 @ a0 @ a2 ) )
      | ( b16
       != ( X16 @ a1 @ a0 @ a2 ) )
      | ( b19
       != ( X15 @ a1 @ a0 @ a2 ) )
      | ( b1
       != ( X14 @ a1 @ a0 @ a2 ) )
      | ( b2
       != ( X13 @ a1 @ a0 @ a2 ) )
      | ( b15
       != ( X12 @ a1 @ a0 @ a2 ) )
      | ( b7
       != ( X11 @ a1 @ a0 @ a2 ) )
      | ( b21
       != ( X10 @ a1 @ a0 @ a2 ) )
      | ( b10
       != ( X9 @ a1 @ a0 @ a2 ) )
      | ( b3
       != ( X8 @ a1 @ a0 @ a2 ) )
      | ( b6
       != ( X7 @ a1 @ a0 @ a2 ) )
      | ( b4
       != ( X6 @ a1 @ a0 @ a2 ) )
      | ( b20
       != ( X5 @ a1 @ a0 @ a2 ) )
      | ( b17
       != ( X4 @ a1 @ a0 @ a2 ) )
      | ( a0
       != ( X3 @ a1 @ a0 @ a2 ) )
      | ( a0
       != ( X2 @ a1 @ a0 @ a2 ) )
      | ( b11
       != ( X1 @ a1 @ a0 @ a2 ) ) ),
    inference(beta-eta_normalization,[],[f23]) ).

thf(f25,plain,
    ! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
      ( ( b8 != b8 )
      | ( a2
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b13 != b13 )
      | ( b25
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X0 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b25
       != ( X18 @ a2 @ a0 @ a1 ) )
      | ( b0
       != ( X17 @ a2 @ a0 @ a1 ) )
      | ( b16
       != ( X16 @ a2 @ a0 @ a1 ) )
      | ( b19
       != ( X15 @ a2 @ a0 @ a1 ) )
      | ( b1
       != ( X14 @ a2 @ a0 @ a1 ) )
      | ( b2
       != ( X13 @ a2 @ a0 @ a1 ) )
      | ( b15
       != ( X12 @ a2 @ a0 @ a1 ) )
      | ( b7
       != ( X11 @ a2 @ a0 @ a1 ) )
      | ( b21
       != ( X10 @ a2 @ a0 @ a1 ) )
      | ( b10
       != ( X9 @ a2 @ a0 @ a1 ) )
      | ( b3
       != ( X8 @ a2 @ a0 @ a1 ) )
      | ( b6
       != ( X7 @ a2 @ a0 @ a1 ) )
      | ( b4
       != ( X6 @ a2 @ a0 @ a1 ) )
      | ( b20
       != ( X5 @ a2 @ a0 @ a1 ) )
      | ( b17
       != ( X4 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X3 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X2 @ a2 @ a0 @ a1 ) )
      | ( b11
       != ( X1 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X0 @ a1 @ a0 @ a2 ) )
      | ( b25
       != ( X18 @ a1 @ a0 @ a2 ) )
      | ( b0
       != ( X17 @ a1 @ a0 @ a2 ) )
      | ( b16
       != ( X16 @ a1 @ a0 @ a2 ) )
      | ( b19
       != ( X15 @ a1 @ a0 @ a2 ) )
      | ( b1
       != ( X14 @ a1 @ a0 @ a2 ) )
      | ( b2
       != ( X13 @ a1 @ a0 @ a2 ) )
      | ( b15
       != ( X12 @ a1 @ a0 @ a2 ) )
      | ( b7
       != ( X11 @ a1 @ a0 @ a2 ) )
      | ( b21
       != ( X10 @ a1 @ a0 @ a2 ) )
      | ( b10
       != ( X9 @ a1 @ a0 @ a2 ) )
      | ( b3
       != ( X8 @ a1 @ a0 @ a2 ) )
      | ( b6
       != ( X7 @ a1 @ a0 @ a2 ) )
      | ( b4
       != ( X6 @ a1 @ a0 @ a2 ) )
      | ( b20
       != ( X5 @ a1 @ a0 @ a2 ) )
      | ( b17
       != ( X4 @ a1 @ a0 @ a2 ) )
      | ( a0
       != ( X3 @ a1 @ a0 @ a2 ) )
      | ( a0
       != ( X2 @ a1 @ a0 @ a2 ) )
      | ( b11
       != ( X1 @ a1 @ a0 @ a2 ) ) ),
    inference(duplicate_literal_removal,[],[f24]) ).

thf(f26,plain,
    ! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
      ( ( a2
       != ( X0 @ a0 @ a2 @ a1 ) )
      | ( b11
       != ( X1 @ a0 @ a2 @ a1 ) )
      | ( a0
       != ( X2 @ a0 @ a2 @ a1 ) )
      | ( a2
       != ( X3 @ a0 @ a2 @ a1 ) )
      | ( b17
       != ( X4 @ a0 @ a2 @ a1 ) )
      | ( b20
       != ( X5 @ a0 @ a2 @ a1 ) )
      | ( b4
       != ( X6 @ a0 @ a2 @ a1 ) )
      | ( b6
       != ( X7 @ a0 @ a2 @ a1 ) )
      | ( b3
       != ( X8 @ a0 @ a2 @ a1 ) )
      | ( b10
       != ( X9 @ a0 @ a2 @ a1 ) )
      | ( b21
       != ( X10 @ a0 @ a2 @ a1 ) )
      | ( b7
       != ( X11 @ a0 @ a2 @ a1 ) )
      | ( b15
       != ( X12 @ a0 @ a2 @ a1 ) )
      | ( b2
       != ( X13 @ a0 @ a2 @ a1 ) )
      | ( b1
       != ( X14 @ a0 @ a2 @ a1 ) )
      | ( b19
       != ( X15 @ a0 @ a2 @ a1 ) )
      | ( b16
       != ( X16 @ a0 @ a2 @ a1 ) )
      | ( b0
       != ( X17 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X18 @ a0 @ a2 @ a1 ) )
      | ( b25
       != ( X18 @ a1 @ a2 @ a0 ) )
      | ( b0
       != ( X17 @ a1 @ a2 @ a0 ) )
      | ( b16
       != ( X16 @ a1 @ a2 @ a0 ) )
      | ( b19
       != ( X15 @ a1 @ a2 @ a0 ) )
      | ( b1
       != ( X14 @ a1 @ a2 @ a0 ) )
      | ( b2
       != ( X13 @ a1 @ a2 @ a0 ) )
      | ( b15
       != ( X12 @ a1 @ a2 @ a0 ) )
      | ( b7
       != ( X11 @ a1 @ a2 @ a0 ) )
      | ( b21
       != ( X10 @ a1 @ a2 @ a0 ) )
      | ( b10
       != ( X9 @ a1 @ a2 @ a0 ) )
      | ( b3
       != ( X8 @ a1 @ a2 @ a0 ) )
      | ( b6
       != ( X7 @ a1 @ a2 @ a0 ) )
      | ( b4
       != ( X6 @ a1 @ a2 @ a0 ) )
      | ( b20
       != ( X5 @ a1 @ a2 @ a0 ) )
      | ( b17
       != ( X4 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X3 @ a1 @ a2 @ a0 ) )
      | ( a0
       != ( X2 @ a1 @ a2 @ a0 ) )
      | ( b11
       != ( X1 @ a1 @ a2 @ a0 ) )
      | ( a2
       != ( X0 @ a1 @ a2 @ a0 ) )
      | ( b25
       != ( X18 @ a2 @ a1 @ a0 ) )
      | ( b0
       != ( X17 @ a2 @ a1 @ a0 ) )
      | ( b16
       != ( X16 @ a2 @ a1 @ a0 ) )
      | ( b19
       != ( X15 @ a2 @ a1 @ a0 ) )
      | ( b1
       != ( X14 @ a2 @ a1 @ a0 ) )
      | ( b2
       != ( X13 @ a2 @ a1 @ a0 ) )
      | ( b15
       != ( X12 @ a2 @ a1 @ a0 ) )
      | ( b7
       != ( X11 @ a2 @ a1 @ a0 ) )
      | ( b21
       != ( X10 @ a2 @ a1 @ a0 ) )
      | ( b10
       != ( X9 @ a2 @ a1 @ a0 ) )
      | ( b3
       != ( X8 @ a2 @ a1 @ a0 ) )
      | ( b6
       != ( X7 @ a2 @ a1 @ a0 ) )
      | ( b4
       != ( X6 @ a2 @ a1 @ a0 ) )
      | ( b20
       != ( X5 @ a2 @ a1 @ a0 ) )
      | ( b17
       != ( X4 @ a2 @ a1 @ a0 ) )
      | ( a1
       != ( X3 @ a2 @ a1 @ a0 ) )
      | ( a0
       != ( X2 @ a2 @ a1 @ a0 ) )
      | ( b11
       != ( X1 @ a2 @ a1 @ a0 ) )
      | ( a2
       != ( X0 @ a2 @ a1 @ a0 ) )
      | ( b25
       != ( X18 @ a0 @ a1 @ a2 ) )
      | ( b0
       != ( X17 @ a0 @ a1 @ a2 ) )
      | ( b16
       != ( X16 @ a0 @ a1 @ a2 ) )
      | ( b19
       != ( X15 @ a0 @ a1 @ a2 ) )
      | ( b1
       != ( X14 @ a0 @ a1 @ a2 ) )
      | ( b2
       != ( X13 @ a0 @ a1 @ a2 ) )
      | ( b15
       != ( X12 @ a0 @ a1 @ a2 ) )
      | ( b7
       != ( X11 @ a0 @ a1 @ a2 ) )
      | ( b21
       != ( X10 @ a0 @ a1 @ a2 ) )
      | ( b10
       != ( X9 @ a0 @ a1 @ a2 ) )
      | ( b3
       != ( X8 @ a0 @ a1 @ a2 ) )
      | ( b6
       != ( X7 @ a0 @ a1 @ a2 ) )
      | ( b4
       != ( X6 @ a0 @ a1 @ a2 ) )
      | ( b20
       != ( X5 @ a0 @ a1 @ a2 ) )
      | ( b17
       != ( X4 @ a0 @ a1 @ a2 ) )
      | ( a1
       != ( X3 @ a0 @ a1 @ a2 ) )
      | ( a0
       != ( X2 @ a0 @ a1 @ a2 ) )
      | ( b11
       != ( X1 @ a0 @ a1 @ a2 ) )
      | ( a2
       != ( X0 @ a0 @ a1 @ a2 ) )
      | ( b25
       != ( X18 @ a2 @ a0 @ a1 ) )
      | ( b0
       != ( X17 @ a2 @ a0 @ a1 ) )
      | ( b16
       != ( X16 @ a2 @ a0 @ a1 ) )
      | ( b19
       != ( X15 @ a2 @ a0 @ a1 ) )
      | ( b1
       != ( X14 @ a2 @ a0 @ a1 ) )
      | ( b2
       != ( X13 @ a2 @ a0 @ a1 ) )
      | ( b15
       != ( X12 @ a2 @ a0 @ a1 ) )
      | ( b7
       != ( X11 @ a2 @ a0 @ a1 ) )
      | ( b21
       != ( X10 @ a2 @ a0 @ a1 ) )
      | ( b10
       != ( X9 @ a2 @ a0 @ a1 ) )
      | ( b3
       != ( X8 @ a2 @ a0 @ a1 ) )
      | ( b6
       != ( X7 @ a2 @ a0 @ a1 ) )
      | ( b4
       != ( X6 @ a2 @ a0 @ a1 ) )
      | ( b20
       != ( X5 @ a2 @ a0 @ a1 ) )
      | ( b17
       != ( X4 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X3 @ a2 @ a0 @ a1 ) )
      | ( a0
       != ( X2 @ a2 @ a0 @ a1 ) )
      | ( b11
       != ( X1 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X0 @ a2 @ a0 @ a1 ) )
      | ( a2
       != ( X0 @ a1 @ a0 @ a2 ) )
      | ( b25
       != ( X18 @ a1 @ a0 @ a2 ) )
      | ( b0
       != ( X17 @ a1 @ a0 @ a2 ) )
      | ( b16
       != ( X16 @ a1 @ a0 @ a2 ) )
      | ( b19
       != ( X15 @ a1 @ a0 @ a2 ) )
      | ( b1
       != ( X14 @ a1 @ a0 @ a2 ) )
      | ( b2
       != ( X13 @ a1 @ a0 @ a2 ) )
      | ( b15
       != ( X12 @ a1 @ a0 @ a2 ) )
      | ( b7
       != ( X11 @ a1 @ a0 @ a2 ) )
      | ( b21
       != ( X10 @ a1 @ a0 @ a2 ) )
      | ( b10
       != ( X9 @ a1 @ a0 @ a2 ) )
      | ( b3
       != ( X8 @ a1 @ a0 @ a2 ) )
      | ( b6
       != ( X7 @ a1 @ a0 @ a2 ) )
      | ( b4
       != ( X6 @ a1 @ a0 @ a2 ) )
      | ( b20
       != ( X5 @ a1 @ a0 @ a2 ) )
      | ( b17
       != ( X4 @ a1 @ a0 @ a2 ) )
      | ( a0
       != ( X3 @ a1 @ a0 @ a2 ) )
      | ( a0
       != ( X2 @ a1 @ a0 @ a2 ) )
      | ( b11
       != ( X1 @ a1 @ a0 @ a2 ) ) ),
    inference(trivial_inequality_removal,[],[f25]) ).

thf(f28,definition,
    ( spl0_1
  <=> ! [X18: $i > $i > $i > $i] :
        ( ( b25
         != ( X18 @ a0 @ a2 @ a1 ) )
        | ( b25
         != ( X18 @ a1 @ a0 @ a2 ) )
        | ( b25
         != ( X18 @ a2 @ a0 @ a1 ) )
        | ( b25
         != ( X18 @ a0 @ a1 @ a2 ) )
        | ( b25
         != ( X18 @ a2 @ a1 @ a0 ) )
        | ( b25
         != ( X18 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

thf(f29,plain,
    ( ! [X18: $i > $i > $i > $i] :
        ( ( b25
         != ( X18 @ a2 @ a1 @ a0 ) )
        | ( b25
         != ( X18 @ a1 @ a0 @ a2 ) )
        | ( b25
         != ( X18 @ a2 @ a0 @ a1 ) )
        | ( b25
         != ( X18 @ a0 @ a1 @ a2 ) )
        | ( b25
         != ( X18 @ a0 @ a2 @ a1 ) )
        | ( b25
         != ( X18 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f28]) ).

thf(f31,definition,
    ( spl0_2
  <=> ! [X17: $i > $i > $i > $i] :
        ( ( b0
         != ( X17 @ a0 @ a2 @ a1 ) )
        | ( b0
         != ( X17 @ a1 @ a0 @ a2 ) )
        | ( b0
         != ( X17 @ a2 @ a0 @ a1 ) )
        | ( b0
         != ( X17 @ a0 @ a1 @ a2 ) )
        | ( b0
         != ( X17 @ a2 @ a1 @ a0 ) )
        | ( b0
         != ( X17 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

thf(f32,plain,
    ( ! [X17: $i > $i > $i > $i] :
        ( ( b0
         != ( X17 @ a2 @ a1 @ a0 ) )
        | ( b0
         != ( X17 @ a1 @ a0 @ a2 ) )
        | ( b0
         != ( X17 @ a2 @ a0 @ a1 ) )
        | ( b0
         != ( X17 @ a0 @ a1 @ a2 ) )
        | ( b0
         != ( X17 @ a0 @ a2 @ a1 ) )
        | ( b0
         != ( X17 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f31]) ).

thf(f34,definition,
    ( spl0_3
  <=> ! [X16: $i > $i > $i > $i] :
        ( ( b16
         != ( X16 @ a0 @ a2 @ a1 ) )
        | ( b16
         != ( X16 @ a1 @ a0 @ a2 ) )
        | ( b16
         != ( X16 @ a2 @ a0 @ a1 ) )
        | ( b16
         != ( X16 @ a0 @ a1 @ a2 ) )
        | ( b16
         != ( X16 @ a2 @ a1 @ a0 ) )
        | ( b16
         != ( X16 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

thf(f35,plain,
    ( ! [X16: $i > $i > $i > $i] :
        ( ( b16
         != ( X16 @ a2 @ a1 @ a0 ) )
        | ( b16
         != ( X16 @ a1 @ a0 @ a2 ) )
        | ( b16
         != ( X16 @ a2 @ a0 @ a1 ) )
        | ( b16
         != ( X16 @ a0 @ a1 @ a2 ) )
        | ( b16
         != ( X16 @ a0 @ a2 @ a1 ) )
        | ( b16
         != ( X16 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f34]) ).

thf(f37,definition,
    ( spl0_4
  <=> ! [X15: $i > $i > $i > $i] :
        ( ( b19
         != ( X15 @ a0 @ a2 @ a1 ) )
        | ( b19
         != ( X15 @ a1 @ a0 @ a2 ) )
        | ( b19
         != ( X15 @ a2 @ a0 @ a1 ) )
        | ( b19
         != ( X15 @ a0 @ a1 @ a2 ) )
        | ( b19
         != ( X15 @ a2 @ a1 @ a0 ) )
        | ( b19
         != ( X15 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

thf(f38,plain,
    ( ! [X15: $i > $i > $i > $i] :
        ( ( b19
         != ( X15 @ a2 @ a1 @ a0 ) )
        | ( b19
         != ( X15 @ a1 @ a0 @ a2 ) )
        | ( b19
         != ( X15 @ a2 @ a0 @ a1 ) )
        | ( b19
         != ( X15 @ a0 @ a1 @ a2 ) )
        | ( b19
         != ( X15 @ a0 @ a2 @ a1 ) )
        | ( b19
         != ( X15 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f37]) ).

thf(f40,definition,
    ( spl0_5
  <=> ! [X14: $i > $i > $i > $i] :
        ( ( b1
         != ( X14 @ a0 @ a2 @ a1 ) )
        | ( b1
         != ( X14 @ a1 @ a0 @ a2 ) )
        | ( b1
         != ( X14 @ a2 @ a0 @ a1 ) )
        | ( b1
         != ( X14 @ a0 @ a1 @ a2 ) )
        | ( b1
         != ( X14 @ a2 @ a1 @ a0 ) )
        | ( b1
         != ( X14 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

thf(f41,plain,
    ( ! [X14: $i > $i > $i > $i] :
        ( ( b1
         != ( X14 @ a2 @ a1 @ a0 ) )
        | ( b1
         != ( X14 @ a1 @ a0 @ a2 ) )
        | ( b1
         != ( X14 @ a2 @ a0 @ a1 ) )
        | ( b1
         != ( X14 @ a0 @ a1 @ a2 ) )
        | ( b1
         != ( X14 @ a0 @ a2 @ a1 ) )
        | ( b1
         != ( X14 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f40]) ).

thf(f43,definition,
    ( spl0_6
  <=> ! [X13: $i > $i > $i > $i] :
        ( ( b2
         != ( X13 @ a0 @ a2 @ a1 ) )
        | ( b2
         != ( X13 @ a1 @ a0 @ a2 ) )
        | ( b2
         != ( X13 @ a2 @ a0 @ a1 ) )
        | ( b2
         != ( X13 @ a0 @ a1 @ a2 ) )
        | ( b2
         != ( X13 @ a2 @ a1 @ a0 ) )
        | ( b2
         != ( X13 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

thf(f44,plain,
    ( ! [X13: $i > $i > $i > $i] :
        ( ( b2
         != ( X13 @ a2 @ a1 @ a0 ) )
        | ( b2
         != ( X13 @ a1 @ a0 @ a2 ) )
        | ( b2
         != ( X13 @ a2 @ a0 @ a1 ) )
        | ( b2
         != ( X13 @ a0 @ a1 @ a2 ) )
        | ( b2
         != ( X13 @ a0 @ a2 @ a1 ) )
        | ( b2
         != ( X13 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f43]) ).

thf(f46,definition,
    ( spl0_7
  <=> ! [X12: $i > $i > $i > $i] :
        ( ( b15
         != ( X12 @ a0 @ a2 @ a1 ) )
        | ( b15
         != ( X12 @ a1 @ a0 @ a2 ) )
        | ( b15
         != ( X12 @ a2 @ a0 @ a1 ) )
        | ( b15
         != ( X12 @ a0 @ a1 @ a2 ) )
        | ( b15
         != ( X12 @ a2 @ a1 @ a0 ) )
        | ( b15
         != ( X12 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

thf(f47,plain,
    ( ! [X12: $i > $i > $i > $i] :
        ( ( b15
         != ( X12 @ a2 @ a1 @ a0 ) )
        | ( b15
         != ( X12 @ a1 @ a0 @ a2 ) )
        | ( b15
         != ( X12 @ a2 @ a0 @ a1 ) )
        | ( b15
         != ( X12 @ a0 @ a1 @ a2 ) )
        | ( b15
         != ( X12 @ a0 @ a2 @ a1 ) )
        | ( b15
         != ( X12 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f46]) ).

thf(f49,definition,
    ( spl0_8
  <=> ! [X11: $i > $i > $i > $i] :
        ( ( b7
         != ( X11 @ a0 @ a2 @ a1 ) )
        | ( b7
         != ( X11 @ a1 @ a0 @ a2 ) )
        | ( b7
         != ( X11 @ a2 @ a0 @ a1 ) )
        | ( b7
         != ( X11 @ a0 @ a1 @ a2 ) )
        | ( b7
         != ( X11 @ a2 @ a1 @ a0 ) )
        | ( b7
         != ( X11 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

thf(f50,plain,
    ( ! [X11: $i > $i > $i > $i] :
        ( ( b7
         != ( X11 @ a2 @ a1 @ a0 ) )
        | ( b7
         != ( X11 @ a1 @ a0 @ a2 ) )
        | ( b7
         != ( X11 @ a2 @ a0 @ a1 ) )
        | ( b7
         != ( X11 @ a0 @ a1 @ a2 ) )
        | ( b7
         != ( X11 @ a0 @ a2 @ a1 ) )
        | ( b7
         != ( X11 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f49]) ).

thf(f52,definition,
    ( spl0_9
  <=> ! [X10: $i > $i > $i > $i] :
        ( ( b21
         != ( X10 @ a0 @ a2 @ a1 ) )
        | ( b21
         != ( X10 @ a1 @ a0 @ a2 ) )
        | ( b21
         != ( X10 @ a2 @ a0 @ a1 ) )
        | ( b21
         != ( X10 @ a0 @ a1 @ a2 ) )
        | ( b21
         != ( X10 @ a2 @ a1 @ a0 ) )
        | ( b21
         != ( X10 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

thf(f53,plain,
    ( ! [X10: $i > $i > $i > $i] :
        ( ( b21
         != ( X10 @ a2 @ a1 @ a0 ) )
        | ( b21
         != ( X10 @ a1 @ a0 @ a2 ) )
        | ( b21
         != ( X10 @ a2 @ a0 @ a1 ) )
        | ( b21
         != ( X10 @ a0 @ a1 @ a2 ) )
        | ( b21
         != ( X10 @ a0 @ a2 @ a1 ) )
        | ( b21
         != ( X10 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f52]) ).

thf(f55,definition,
    ( spl0_10
  <=> ! [X9: $i > $i > $i > $i] :
        ( ( b10
         != ( X9 @ a0 @ a2 @ a1 ) )
        | ( b10
         != ( X9 @ a1 @ a0 @ a2 ) )
        | ( b10
         != ( X9 @ a2 @ a0 @ a1 ) )
        | ( b10
         != ( X9 @ a0 @ a1 @ a2 ) )
        | ( b10
         != ( X9 @ a2 @ a1 @ a0 ) )
        | ( b10
         != ( X9 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

thf(f56,plain,
    ( ! [X9: $i > $i > $i > $i] :
        ( ( b10
         != ( X9 @ a2 @ a1 @ a0 ) )
        | ( b10
         != ( X9 @ a1 @ a0 @ a2 ) )
        | ( b10
         != ( X9 @ a2 @ a0 @ a1 ) )
        | ( b10
         != ( X9 @ a0 @ a1 @ a2 ) )
        | ( b10
         != ( X9 @ a0 @ a2 @ a1 ) )
        | ( b10
         != ( X9 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f55]) ).

thf(f58,definition,
    ( spl0_11
  <=> ! [X8: $i > $i > $i > $i] :
        ( ( b3
         != ( X8 @ a0 @ a2 @ a1 ) )
        | ( b3
         != ( X8 @ a1 @ a0 @ a2 ) )
        | ( b3
         != ( X8 @ a2 @ a0 @ a1 ) )
        | ( b3
         != ( X8 @ a0 @ a1 @ a2 ) )
        | ( b3
         != ( X8 @ a2 @ a1 @ a0 ) )
        | ( b3
         != ( X8 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

thf(f59,plain,
    ( ! [X8: $i > $i > $i > $i] :
        ( ( b3
         != ( X8 @ a2 @ a1 @ a0 ) )
        | ( b3
         != ( X8 @ a1 @ a0 @ a2 ) )
        | ( b3
         != ( X8 @ a2 @ a0 @ a1 ) )
        | ( b3
         != ( X8 @ a0 @ a1 @ a2 ) )
        | ( b3
         != ( X8 @ a0 @ a2 @ a1 ) )
        | ( b3
         != ( X8 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f58]) ).

thf(f61,definition,
    ( spl0_12
  <=> ! [X7: $i > $i > $i > $i] :
        ( ( b6
         != ( X7 @ a0 @ a2 @ a1 ) )
        | ( b6
         != ( X7 @ a1 @ a0 @ a2 ) )
        | ( b6
         != ( X7 @ a2 @ a0 @ a1 ) )
        | ( b6
         != ( X7 @ a0 @ a1 @ a2 ) )
        | ( b6
         != ( X7 @ a2 @ a1 @ a0 ) )
        | ( b6
         != ( X7 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

thf(f62,plain,
    ( ! [X7: $i > $i > $i > $i] :
        ( ( b6
         != ( X7 @ a2 @ a1 @ a0 ) )
        | ( b6
         != ( X7 @ a1 @ a0 @ a2 ) )
        | ( b6
         != ( X7 @ a2 @ a0 @ a1 ) )
        | ( b6
         != ( X7 @ a0 @ a1 @ a2 ) )
        | ( b6
         != ( X7 @ a0 @ a2 @ a1 ) )
        | ( b6
         != ( X7 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f61]) ).

thf(f64,definition,
    ( spl0_13
  <=> ! [X6: $i > $i > $i > $i] :
        ( ( b4
         != ( X6 @ a0 @ a2 @ a1 ) )
        | ( b4
         != ( X6 @ a1 @ a0 @ a2 ) )
        | ( b4
         != ( X6 @ a2 @ a0 @ a1 ) )
        | ( b4
         != ( X6 @ a0 @ a1 @ a2 ) )
        | ( b4
         != ( X6 @ a2 @ a1 @ a0 ) )
        | ( b4
         != ( X6 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

thf(f65,plain,
    ( ! [X6: $i > $i > $i > $i] :
        ( ( b4
         != ( X6 @ a2 @ a1 @ a0 ) )
        | ( b4
         != ( X6 @ a1 @ a0 @ a2 ) )
        | ( b4
         != ( X6 @ a2 @ a0 @ a1 ) )
        | ( b4
         != ( X6 @ a0 @ a1 @ a2 ) )
        | ( b4
         != ( X6 @ a0 @ a2 @ a1 ) )
        | ( b4
         != ( X6 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f64]) ).

thf(f67,definition,
    ( spl0_14
  <=> ! [X5: $i > $i > $i > $i] :
        ( ( b20
         != ( X5 @ a0 @ a2 @ a1 ) )
        | ( b20
         != ( X5 @ a1 @ a0 @ a2 ) )
        | ( b20
         != ( X5 @ a2 @ a0 @ a1 ) )
        | ( b20
         != ( X5 @ a0 @ a1 @ a2 ) )
        | ( b20
         != ( X5 @ a2 @ a1 @ a0 ) )
        | ( b20
         != ( X5 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

thf(f68,plain,
    ( ! [X5: $i > $i > $i > $i] :
        ( ( b20
         != ( X5 @ a2 @ a1 @ a0 ) )
        | ( b20
         != ( X5 @ a1 @ a0 @ a2 ) )
        | ( b20
         != ( X5 @ a2 @ a0 @ a1 ) )
        | ( b20
         != ( X5 @ a0 @ a1 @ a2 ) )
        | ( b20
         != ( X5 @ a0 @ a2 @ a1 ) )
        | ( b20
         != ( X5 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f67]) ).

thf(f70,definition,
    ( spl0_15
  <=> ! [X4: $i > $i > $i > $i] :
        ( ( b17
         != ( X4 @ a0 @ a2 @ a1 ) )
        | ( b17
         != ( X4 @ a1 @ a0 @ a2 ) )
        | ( b17
         != ( X4 @ a2 @ a0 @ a1 ) )
        | ( b17
         != ( X4 @ a0 @ a1 @ a2 ) )
        | ( b17
         != ( X4 @ a2 @ a1 @ a0 ) )
        | ( b17
         != ( X4 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

thf(f71,plain,
    ( ! [X4: $i > $i > $i > $i] :
        ( ( b17
         != ( X4 @ a2 @ a1 @ a0 ) )
        | ( b17
         != ( X4 @ a1 @ a0 @ a2 ) )
        | ( b17
         != ( X4 @ a2 @ a0 @ a1 ) )
        | ( b17
         != ( X4 @ a0 @ a1 @ a2 ) )
        | ( b17
         != ( X4 @ a0 @ a2 @ a1 ) )
        | ( b17
         != ( X4 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f70]) ).

thf(f73,definition,
    ( spl0_16
  <=> ! [X3: $i > $i > $i > $i] :
        ( ( a2
         != ( X3 @ a0 @ a2 @ a1 ) )
        | ( a0
         != ( X3 @ a1 @ a0 @ a2 ) )
        | ( a0
         != ( X3 @ a2 @ a0 @ a1 ) )
        | ( a1
         != ( X3 @ a0 @ a1 @ a2 ) )
        | ( a1
         != ( X3 @ a2 @ a1 @ a0 ) )
        | ( a2
         != ( X3 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

thf(f74,plain,
    ( ! [X3: $i > $i > $i > $i] :
        ( ( a2
         != ( X3 @ a1 @ a2 @ a0 ) )
        | ( a0
         != ( X3 @ a1 @ a0 @ a2 ) )
        | ( a0
         != ( X3 @ a2 @ a0 @ a1 ) )
        | ( a1
         != ( X3 @ a0 @ a1 @ a2 ) )
        | ( a1
         != ( X3 @ a2 @ a1 @ a0 ) )
        | ( a2
         != ( X3 @ a0 @ a2 @ a1 ) ) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f73]) ).

thf(f76,definition,
    ( spl0_17
  <=> ! [X2: $i > $i > $i > $i] :
        ( ( a0
         != ( X2 @ a0 @ a2 @ a1 ) )
        | ( a0
         != ( X2 @ a1 @ a0 @ a2 ) )
        | ( a0
         != ( X2 @ a2 @ a0 @ a1 ) )
        | ( a0
         != ( X2 @ a0 @ a1 @ a2 ) )
        | ( a0
         != ( X2 @ a2 @ a1 @ a0 ) )
        | ( a0
         != ( X2 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

thf(f77,plain,
    ( ! [X2: $i > $i > $i > $i] :
        ( ( a0
         != ( X2 @ a2 @ a1 @ a0 ) )
        | ( a0
         != ( X2 @ a1 @ a0 @ a2 ) )
        | ( a0
         != ( X2 @ a2 @ a0 @ a1 ) )
        | ( a0
         != ( X2 @ a0 @ a1 @ a2 ) )
        | ( a0
         != ( X2 @ a0 @ a2 @ a1 ) )
        | ( a0
         != ( X2 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f76]) ).

thf(f79,definition,
    ( spl0_18
  <=> ! [X1: $i > $i > $i > $i] :
        ( ( b11
         != ( X1 @ a0 @ a2 @ a1 ) )
        | ( b11
         != ( X1 @ a1 @ a0 @ a2 ) )
        | ( b11
         != ( X1 @ a2 @ a0 @ a1 ) )
        | ( b11
         != ( X1 @ a0 @ a1 @ a2 ) )
        | ( b11
         != ( X1 @ a2 @ a1 @ a0 ) )
        | ( b11
         != ( X1 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

thf(f80,plain,
    ( ! [X1: $i > $i > $i > $i] :
        ( ( b11
         != ( X1 @ a2 @ a1 @ a0 ) )
        | ( b11
         != ( X1 @ a1 @ a0 @ a2 ) )
        | ( b11
         != ( X1 @ a2 @ a0 @ a1 ) )
        | ( b11
         != ( X1 @ a0 @ a1 @ a2 ) )
        | ( b11
         != ( X1 @ a0 @ a2 @ a1 ) )
        | ( b11
         != ( X1 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f79]) ).

thf(f82,definition,
    ( spl0_19
  <=> ! [X0: $i > $i > $i > $i] :
        ( ( a2
         != ( X0 @ a0 @ a2 @ a1 ) )
        | ( a2
         != ( X0 @ a1 @ a0 @ a2 ) )
        | ( a2
         != ( X0 @ a2 @ a0 @ a1 ) )
        | ( a2
         != ( X0 @ a0 @ a1 @ a2 ) )
        | ( a2
         != ( X0 @ a2 @ a1 @ a0 ) )
        | ( a2
         != ( X0 @ a1 @ a2 @ a0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

thf(f83,plain,
    ( ! [X0: $i > $i > $i > $i] :
        ( ( a2
         != ( X0 @ a2 @ a1 @ a0 ) )
        | ( a2
         != ( X0 @ a1 @ a0 @ a2 ) )
        | ( a2
         != ( X0 @ a2 @ a0 @ a1 ) )
        | ( a2
         != ( X0 @ a0 @ a1 @ a2 ) )
        | ( a2
         != ( X0 @ a0 @ a2 @ a1 ) )
        | ( a2
         != ( X0 @ a1 @ a2 @ a0 ) ) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f82]) ).

thf(f84,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_10
    | spl0_11
    | spl0_12
    | spl0_13
    | spl0_14
    | spl0_15
    | spl0_16
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f26,f82,f79,f76,f73,f70,f67,f64,f61,f58,f55,f52,f49,f46,f43,f40,f37,f34,f31,f28]) ).

thf(f85,plain,
    ( ( b25
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
        @ a1
        @ a0
        @ a2 ) )
    | ( b25
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
        @ a2
        @ a0
        @ a1 ) )
    | ( b25
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
        @ a0
        @ a1
        @ a2 ) )
    | ( b25
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
        @ a0
        @ a2
        @ a1 ) )
    | ( b25
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_1 ),
    inference(equality_resolution,[],[f29]) ).

thf(f86,plain,
    ( ( b25 != b25 )
    | ( b25 != b25 )
    | ( b25 != b25 )
    | ( b25 != b25 )
    | ( b25 != b25 )
    | ~ spl0_1 ),
    inference(beta-eta_normalization,[],[f85]) ).

thf(f87,plain,
    ( ( b25 != b25 )
    | ~ spl0_1 ),
    inference(duplicate_literal_removal,[],[f86]) ).

thf(f88,plain,
    ( $false
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f87]) ).

thf(f89,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f88]) ).

thf(f90,plain,
    ( ( b0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
        @ a1
        @ a0
        @ a2 ) )
    | ( b0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
        @ a2
        @ a0
        @ a1 ) )
    | ( b0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
        @ a0
        @ a1
        @ a2 ) )
    | ( b0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
        @ a0
        @ a2
        @ a1 ) )
    | ( b0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_2 ),
    inference(equality_resolution,[],[f32]) ).

thf(f91,plain,
    ( ( b0 != b0 )
    | ( b0 != b0 )
    | ( b0 != b0 )
    | ( b0 != b0 )
    | ( b0 != b0 )
    | ~ spl0_2 ),
    inference(beta-eta_normalization,[],[f90]) ).

thf(f92,plain,
    ( ( b0 != b0 )
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f91]) ).

thf(f93,plain,
    ( $false
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f92]) ).

thf(f94,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f93]) ).

thf(f95,plain,
    ( ( b16
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
        @ a1
        @ a0
        @ a2 ) )
    | ( b16
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
        @ a2
        @ a0
        @ a1 ) )
    | ( b16
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
        @ a0
        @ a1
        @ a2 ) )
    | ( b16
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
        @ a0
        @ a2
        @ a1 ) )
    | ( b16
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_3 ),
    inference(equality_resolution,[],[f35]) ).

thf(f96,plain,
    ( ( b16 != b16 )
    | ( b16 != b16 )
    | ( b16 != b16 )
    | ( b16 != b16 )
    | ( b16 != b16 )
    | ~ spl0_3 ),
    inference(beta-eta_normalization,[],[f95]) ).

thf(f97,plain,
    ( ( b16 != b16 )
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f96]) ).

thf(f98,plain,
    ( $false
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f97]) ).

thf(f99,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f98]) ).

thf(f100,plain,
    ( ( b19
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
        @ a1
        @ a0
        @ a2 ) )
    | ( b19
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
        @ a2
        @ a0
        @ a1 ) )
    | ( b19
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
        @ a0
        @ a1
        @ a2 ) )
    | ( b19
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
        @ a0
        @ a2
        @ a1 ) )
    | ( b19
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_4 ),
    inference(equality_resolution,[],[f38]) ).

thf(f101,plain,
    ( ( b19 != b19 )
    | ( b19 != b19 )
    | ( b19 != b19 )
    | ( b19 != b19 )
    | ( b19 != b19 )
    | ~ spl0_4 ),
    inference(beta-eta_normalization,[],[f100]) ).

thf(f102,plain,
    ( ( b19 != b19 )
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f101]) ).

thf(f103,plain,
    ( $false
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f102]) ).

thf(f104,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f103]) ).

thf(f105,plain,
    ( ( b1
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
        @ a1
        @ a0
        @ a2 ) )
    | ( b1
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
        @ a2
        @ a0
        @ a1 ) )
    | ( b1
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
        @ a0
        @ a1
        @ a2 ) )
    | ( b1
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
        @ a0
        @ a2
        @ a1 ) )
    | ( b1
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_5 ),
    inference(equality_resolution,[],[f41]) ).

thf(f106,plain,
    ( ( b1 != b1 )
    | ( b1 != b1 )
    | ( b1 != b1 )
    | ( b1 != b1 )
    | ( b1 != b1 )
    | ~ spl0_5 ),
    inference(beta-eta_normalization,[],[f105]) ).

thf(f107,plain,
    ( ( b1 != b1 )
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f106]) ).

thf(f108,plain,
    ( $false
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f107]) ).

thf(f109,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f108]) ).

thf(f110,plain,
    ( ( b2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
        @ a1
        @ a0
        @ a2 ) )
    | ( b2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
        @ a2
        @ a0
        @ a1 ) )
    | ( b2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
        @ a0
        @ a1
        @ a2 ) )
    | ( b2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
        @ a0
        @ a2
        @ a1 ) )
    | ( b2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_6 ),
    inference(equality_resolution,[],[f44]) ).

thf(f111,plain,
    ( ( b2 != b2 )
    | ( b2 != b2 )
    | ( b2 != b2 )
    | ( b2 != b2 )
    | ( b2 != b2 )
    | ~ spl0_6 ),
    inference(beta-eta_normalization,[],[f110]) ).

thf(f112,plain,
    ( ( b2 != b2 )
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f111]) ).

thf(f113,plain,
    ( $false
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f112]) ).

thf(f114,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f113]) ).

thf(f115,plain,
    ( ( b15
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
        @ a1
        @ a0
        @ a2 ) )
    | ( b15
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
        @ a2
        @ a0
        @ a1 ) )
    | ( b15
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
        @ a0
        @ a1
        @ a2 ) )
    | ( b15
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
        @ a0
        @ a2
        @ a1 ) )
    | ( b15
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_7 ),
    inference(equality_resolution,[],[f47]) ).

thf(f116,plain,
    ( ( b15 != b15 )
    | ( b15 != b15 )
    | ( b15 != b15 )
    | ( b15 != b15 )
    | ( b15 != b15 )
    | ~ spl0_7 ),
    inference(beta-eta_normalization,[],[f115]) ).

thf(f117,plain,
    ( ( b15 != b15 )
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f116]) ).

thf(f118,plain,
    ( $false
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f117]) ).

thf(f119,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f118]) ).

thf(f120,plain,
    ( ( b7
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
        @ a1
        @ a0
        @ a2 ) )
    | ( b7
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
        @ a2
        @ a0
        @ a1 ) )
    | ( b7
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
        @ a0
        @ a1
        @ a2 ) )
    | ( b7
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
        @ a0
        @ a2
        @ a1 ) )
    | ( b7
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_8 ),
    inference(equality_resolution,[],[f50]) ).

thf(f121,plain,
    ( ( b7 != b7 )
    | ( b7 != b7 )
    | ( b7 != b7 )
    | ( b7 != b7 )
    | ( b7 != b7 )
    | ~ spl0_8 ),
    inference(beta-eta_normalization,[],[f120]) ).

thf(f122,plain,
    ( ( b7 != b7 )
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f121]) ).

thf(f123,plain,
    ( $false
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f122]) ).

thf(f124,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f123]) ).

thf(f125,plain,
    ( ( b21
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
        @ a1
        @ a0
        @ a2 ) )
    | ( b21
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
        @ a2
        @ a0
        @ a1 ) )
    | ( b21
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
        @ a0
        @ a1
        @ a2 ) )
    | ( b21
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
        @ a0
        @ a2
        @ a1 ) )
    | ( b21
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_9 ),
    inference(equality_resolution,[],[f53]) ).

thf(f126,plain,
    ( ( b21 != b21 )
    | ( b21 != b21 )
    | ( b21 != b21 )
    | ( b21 != b21 )
    | ( b21 != b21 )
    | ~ spl0_9 ),
    inference(beta-eta_normalization,[],[f125]) ).

thf(f127,plain,
    ( ( b21 != b21 )
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f126]) ).

thf(f128,plain,
    ( $false
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f127]) ).

thf(f129,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f128]) ).

thf(f130,plain,
    ( ( b10
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
        @ a1
        @ a0
        @ a2 ) )
    | ( b10
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
        @ a2
        @ a0
        @ a1 ) )
    | ( b10
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
        @ a0
        @ a1
        @ a2 ) )
    | ( b10
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
        @ a0
        @ a2
        @ a1 ) )
    | ( b10
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_10 ),
    inference(equality_resolution,[],[f56]) ).

thf(f131,plain,
    ( ( b10 != b10 )
    | ( b10 != b10 )
    | ( b10 != b10 )
    | ( b10 != b10 )
    | ( b10 != b10 )
    | ~ spl0_10 ),
    inference(beta-eta_normalization,[],[f130]) ).

thf(f132,plain,
    ( ( b10 != b10 )
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f131]) ).

thf(f133,plain,
    ( $false
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f132]) ).

thf(f134,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f133]) ).

thf(f135,plain,
    ( ( b3
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
        @ a1
        @ a0
        @ a2 ) )
    | ( b3
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
        @ a2
        @ a0
        @ a1 ) )
    | ( b3
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
        @ a0
        @ a1
        @ a2 ) )
    | ( b3
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
        @ a0
        @ a2
        @ a1 ) )
    | ( b3
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_11 ),
    inference(equality_resolution,[],[f59]) ).

thf(f136,plain,
    ( ( b3 != b3 )
    | ( b3 != b3 )
    | ( b3 != b3 )
    | ( b3 != b3 )
    | ( b3 != b3 )
    | ~ spl0_11 ),
    inference(beta-eta_normalization,[],[f135]) ).

thf(f137,plain,
    ( ( b3 != b3 )
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f136]) ).

thf(f138,plain,
    ( $false
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f137]) ).

thf(f139,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f138]) ).

thf(f140,plain,
    ( ( b6
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
        @ a1
        @ a0
        @ a2 ) )
    | ( b6
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
        @ a2
        @ a0
        @ a1 ) )
    | ( b6
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
        @ a0
        @ a1
        @ a2 ) )
    | ( b6
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
        @ a0
        @ a2
        @ a1 ) )
    | ( b6
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_12 ),
    inference(equality_resolution,[],[f62]) ).

thf(f141,plain,
    ( ( b6 != b6 )
    | ( b6 != b6 )
    | ( b6 != b6 )
    | ( b6 != b6 )
    | ( b6 != b6 )
    | ~ spl0_12 ),
    inference(beta-eta_normalization,[],[f140]) ).

thf(f142,plain,
    ( ( b6 != b6 )
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f141]) ).

thf(f143,plain,
    ( $false
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f142]) ).

thf(f144,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f143]) ).

thf(f145,plain,
    ( ( b4
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
        @ a1
        @ a0
        @ a2 ) )
    | ( b4
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
        @ a2
        @ a0
        @ a1 ) )
    | ( b4
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
        @ a0
        @ a1
        @ a2 ) )
    | ( b4
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
        @ a0
        @ a2
        @ a1 ) )
    | ( b4
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_13 ),
    inference(equality_resolution,[],[f65]) ).

thf(f146,plain,
    ( ( b4 != b4 )
    | ( b4 != b4 )
    | ( b4 != b4 )
    | ( b4 != b4 )
    | ( b4 != b4 )
    | ~ spl0_13 ),
    inference(beta-eta_normalization,[],[f145]) ).

thf(f147,plain,
    ( ( b4 != b4 )
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f146]) ).

thf(f148,plain,
    ( $false
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f147]) ).

thf(f149,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f148]) ).

thf(f150,plain,
    ( ( b20
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
        @ a1
        @ a0
        @ a2 ) )
    | ( b20
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
        @ a2
        @ a0
        @ a1 ) )
    | ( b20
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
        @ a0
        @ a1
        @ a2 ) )
    | ( b20
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
        @ a0
        @ a2
        @ a1 ) )
    | ( b20
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_14 ),
    inference(equality_resolution,[],[f68]) ).

thf(f151,plain,
    ( ( b20 != b20 )
    | ( b20 != b20 )
    | ( b20 != b20 )
    | ( b20 != b20 )
    | ( b20 != b20 )
    | ~ spl0_14 ),
    inference(beta-eta_normalization,[],[f150]) ).

thf(f152,plain,
    ( ( b20 != b20 )
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f151]) ).

thf(f153,plain,
    ( $false
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f152]) ).

thf(f154,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f153]) ).

thf(f155,plain,
    ( ( b17
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
        @ a1
        @ a0
        @ a2 ) )
    | ( b17
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
        @ a2
        @ a0
        @ a1 ) )
    | ( b17
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
        @ a0
        @ a1
        @ a2 ) )
    | ( b17
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
        @ a0
        @ a2
        @ a1 ) )
    | ( b17
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_15 ),
    inference(equality_resolution,[],[f71]) ).

thf(f156,plain,
    ( ( b17 != b17 )
    | ( b17 != b17 )
    | ( b17 != b17 )
    | ( b17 != b17 )
    | ( b17 != b17 )
    | ~ spl0_15 ),
    inference(beta-eta_normalization,[],[f155]) ).

thf(f157,plain,
    ( ( b17 != b17 )
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f156]) ).

thf(f158,plain,
    ( $false
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f157]) ).

thf(f159,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f158]) ).

thf(f160,plain,
    ( ( a0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : Y1
        @ a1
        @ a0
        @ a2 ) )
    | ( a0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : Y1
        @ a2
        @ a0
        @ a1 ) )
    | ( a1
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : Y1
        @ a0
        @ a1
        @ a2 ) )
    | ( a1
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : Y1
        @ a2
        @ a1
        @ a0 ) )
    | ( a2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : Y1
        @ a0
        @ a2
        @ a1 ) )
    | ~ spl0_16 ),
    inference(equality_resolution,[],[f74]) ).

thf(f165,plain,
    ( ( a0 != a0 )
    | ( a0 != a0 )
    | ( a1 != a1 )
    | ( a1 != a1 )
    | ( a2 != a2 )
    | ~ spl0_16 ),
    inference(beta-eta_normalization,[],[f160]) ).

thf(f166,plain,
    ( ( a0 != a0 )
    | ( a1 != a1 )
    | ( a2 != a2 )
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f165]) ).

thf(f167,plain,
    ( $false
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f166]) ).

thf(f168,plain,
    ~ spl0_16,
    inference(avatar_contradiction_clause,[],[f167]) ).

thf(f179,plain,
    ( ( a0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
        @ a1
        @ a0
        @ a2 ) )
    | ( a0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
        @ a2
        @ a0
        @ a1 ) )
    | ( a0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
        @ a0
        @ a1
        @ a2 ) )
    | ( a0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
        @ a0
        @ a2
        @ a1 ) )
    | ( a0
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_17 ),
    inference(equality_resolution,[],[f77]) ).

thf(f180,plain,
    ( ( a0 != a0 )
    | ( a0 != a0 )
    | ( a0 != a0 )
    | ( a0 != a0 )
    | ( a0 != a0 )
    | ~ spl0_17 ),
    inference(beta-eta_normalization,[],[f179]) ).

thf(f181,plain,
    ( ( a0 != a0 )
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f180]) ).

thf(f182,plain,
    ( $false
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f181]) ).

thf(f183,plain,
    ~ spl0_17,
    inference(avatar_contradiction_clause,[],[f182]) ).

thf(f192,plain,
    ( ( b11
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
        @ a1
        @ a0
        @ a2 ) )
    | ( b11
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
        @ a2
        @ a0
        @ a1 ) )
    | ( b11
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
        @ a0
        @ a1
        @ a2 ) )
    | ( b11
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
        @ a0
        @ a2
        @ a1 ) )
    | ( b11
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_18 ),
    inference(equality_resolution,[],[f80]) ).

thf(f193,plain,
    ( ( b11 != b11 )
    | ( b11 != b11 )
    | ( b11 != b11 )
    | ( b11 != b11 )
    | ( b11 != b11 )
    | ~ spl0_18 ),
    inference(beta-eta_normalization,[],[f192]) ).

thf(f194,plain,
    ( ( b11 != b11 )
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f193]) ).

thf(f195,plain,
    ( $false
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f194]) ).

thf(f196,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f195]) ).

thf(f198,plain,
    ( ( a2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
        @ a1
        @ a0
        @ a2 ) )
    | ( a2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
        @ a2
        @ a0
        @ a1 ) )
    | ( a2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
        @ a0
        @ a1
        @ a2 ) )
    | ( a2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
        @ a0
        @ a2
        @ a1 ) )
    | ( a2
     != ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
        @ a1
        @ a2
        @ a0 ) )
    | ~ spl0_19 ),
    inference(equality_resolution,[],[f83]) ).

thf(f199,plain,
    ( ( a2 != a2 )
    | ( a2 != a2 )
    | ( a2 != a2 )
    | ( a2 != a2 )
    | ( a2 != a2 )
    | ~ spl0_19 ),
    inference(beta-eta_normalization,[],[f198]) ).

thf(f200,plain,
    ( ( a2 != a2 )
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f199]) ).

thf(f201,plain,
    ( $false
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f200]) ).

thf(f202,plain,
    ~ spl0_19,
    inference(avatar_contradiction_clause,[],[f201]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | spl0_10
    | spl0_11
    | spl0_12
    | spl0_13
    | spl0_14
    | spl0_15
    | spl0_16
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f84]) ).

cnf(s2,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f89]) ).

cnf(s3,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f94]) ).

cnf(s4,plain,
    ~ spl0_3,
    inference(sat_conversion,[],[f99]) ).

cnf(s5,plain,
    ~ spl0_4,
    inference(sat_conversion,[],[f104]) ).

cnf(s6,plain,
    ~ spl0_5,
    inference(sat_conversion,[],[f109]) ).

cnf(s7,plain,
    ~ spl0_6,
    inference(sat_conversion,[],[f114]) ).

cnf(s8,plain,
    ~ spl0_7,
    inference(sat_conversion,[],[f119]) ).

cnf(s9,plain,
    ~ spl0_8,
    inference(sat_conversion,[],[f124]) ).

cnf(s10,plain,
    ~ spl0_9,
    inference(sat_conversion,[],[f129]) ).

cnf(s11,plain,
    ~ spl0_10,
    inference(sat_conversion,[],[f134]) ).

cnf(s12,plain,
    ~ spl0_11,
    inference(sat_conversion,[],[f139]) ).

cnf(s13,plain,
    ~ spl0_12,
    inference(sat_conversion,[],[f144]) ).

cnf(s14,plain,
    ~ spl0_13,
    inference(sat_conversion,[],[f149]) ).

cnf(s15,plain,
    ~ spl0_14,
    inference(sat_conversion,[],[f154]) ).

cnf(s16,plain,
    ~ spl0_15,
    inference(sat_conversion,[],[f159]) ).

cnf(s17,plain,
    ~ spl0_16,
    inference(sat_conversion,[],[f168]) ).

cnf(s19,plain,
    ~ spl0_17,
    inference(sat_conversion,[],[f183]) ).

cnf(s21,plain,
    ~ spl0_18,
    inference(sat_conversion,[],[f196]) ).

cnf(s22,plain,
    ~ spl0_19,
    inference(sat_conversion,[],[f202]) ).

cnf(s24,plain,
    $false,
    inference(rat,[],[s1,s22,s21,s19,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6,s5,s4,s3,s2]) ).

thf(f207,plain,
    $false,
    inference(avatar_sat_refutation,[],[s24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO885^1.330.100 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n010.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Tue Sep 29 17:25:18 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.43  % (3170290)Will run a generic schedule for satisfiability detection.
% 0.77/0.43  % (3170298)dis+10_1_sil=32000:sp=arity:random_seed=2927478871:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.77/0.43  % (3170296)% WARNING: option uhcvi not known.
% 0.77/0.43  % (3170295)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=757966597_2999 on theBenchmark for (2999ds/0Mi)
% 0.77/0.43  % (3170296)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1052676009:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.77/0.43  % (3170297)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=591592074:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.77/0.43  % (3170299)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3238840936:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.77/0.43  % (3170300)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1926477215:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.77/0.43  % (3170301)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1072539143:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.77/0.43  % (3170296)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.77/0.43  % (3170299)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.77/0.43  % (3170298)Instruction limit reached! 
% 0.77/0.43  % (3170298)------------------------------
% 0.77/0.43  % (3170298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43  % (3170298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43  % (3170298)CaDiCaL version: 2.1.3
% 0.77/0.43  % (3170298)Termination reason: Instruction limit
% 0.77/0.43  % (3170298)Termination phase: Saturation
% 0.77/0.43  % (3170298)Time elapsed: 0.026 s
% 0.77/0.43  % (3170298)Peak memory usage: 13 MB
% 0.77/0.43  % (3170298)Instructions burned: 109 (million)
% 0.77/0.43  % Exception at run slice level
% 0.77/0.43  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.77/0.43  % (3170296)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.77/0.43  % (3170309)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=303686395:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.77/0.43  % (3170310)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2425119788:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.77/0.43  % Exception at run slice level
% 0.77/0.43  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.77/0.43  % (3170313)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3399596134:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.77/0.43  % (3170300)Instruction limit reached! 
% 0.77/0.43  % (3170300)------------------------------
% 0.77/0.43  % (3170300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43  % (3170300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43  % (3170300)CaDiCaL version: 2.1.3
% 0.77/0.43  % (3170300)Termination reason: Instruction limit
% 0.77/0.43  % (3170300)Termination phase: Saturation
% 0.77/0.43  % (3170300)Time elapsed: 0.061 s
% 0.77/0.43  % (3170300)Peak memory usage: 12 MB
% 0.77/0.43  % (3170300)Instructions burned: 132 (million)
% 0.77/0.43  % (3170299)Instruction limit reached! 
% 0.77/0.43  % (3170299)------------------------------
% 0.77/0.43  % (3170299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43  % (3170313)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.77/0.43  % (3170299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43  % (3170299)CaDiCaL version: 2.1.3
% 0.77/0.43  % (3170299)Termination reason: Instruction limit
% 0.77/0.43  % (3170299)Termination phase: Saturation
% 0.77/0.43  % (3170299)Time elapsed: 0.064 s
% 0.77/0.43  % (3170299)Peak memory usage: 13 MB
% 0.77/0.43  % (3170299)Instructions burned: 116 (million)
% 0.77/0.43  % (3170296) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3170290-3170296"...
% 0.77/0.43  % (3170301)Instruction limit reached! 
% 0.77/0.43  % (3170301)------------------------------
% 0.77/0.43  % (3170301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43  % (3170301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43  % (3170301)CaDiCaL version: 2.1.3
% 0.77/0.43  % (3170301)Termination reason: Instruction limit
% 0.77/0.43  % (3170301)Termination phase: Saturation
% 0.77/0.43  % (3170301)Time elapsed: 0.068 s
% 0.77/0.43  % (3170301)Peak memory usage: 15 MB
% 0.77/0.43  % (3170301)Instructions burned: 162 (million)
% 0.77/0.43  % (3170313)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.77/0.43  % (3170315)ott-21_1_sil=16000:fs=off:random_seed=1246292950:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.77/0.43  % (3170317)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3859684268:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.77/0.43  % (3170316)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4172249352:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.77/0.43  % (3170313) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3170290-3170313"...
% 0.77/0.43  % (3170310)Instruction limit reached! 
% 0.77/0.43  % (3170310)------------------------------
% 0.77/0.43  % (3170310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43  % (3170310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43  % (3170310)CaDiCaL version: 2.1.3
% 0.77/0.43  % (3170310)Termination reason: Instruction limit
% 0.77/0.43  % (3170310)Termination phase: Saturation
% 0.77/0.43  % (3170310)Time elapsed: 0.064 s
% 0.77/0.43  % (3170310)Peak memory usage: 14 MB
% 0.77/0.43  % (3170310)Instructions burned: 132 (million)
% 0.77/0.43  % Exception at run slice level
% 0.77/0.43  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.77/0.43  % (3170321)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4181407853:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.77/0.43  % (3170313)...printing done.
% 0.77/0.43  % (3170313)Refutation found. Thanks to Tanya!
% 0.77/0.43  % SZS status Theorem for theBenchmark
% 0.77/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.77/0.43  % (3170313)------------------------------
% 0.77/0.43  % (3170313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43  % (3170313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43  % (3170313)CaDiCaL version: 2.1.3
% 0.77/0.43  % (3170313)Termination reason: Refutation
% 0.77/0.43  % (3170313)Time elapsed: 0.071 s
% 0.77/0.43  % (3170313)Peak memory usage: 14 MB
% 0.77/0.43  % (3170313)Instructions burned: 347 (million)
% 0.77/0.43  % (3170290)Success in time 0.182 s
% 0.77/0.43  % Vampire exiting
%------------------------------------------------------------------------------