TSTP Solution File: ALG111+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : ALG111+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 17:35:37 EDT 2022

% Result   : Theorem 2.77s 2.98s
% Output   : CNFRefutation 3.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   65
%            Number of leaves      : 1109
% Syntax   : Number of formulae    : 5869 (2352 unt;   0 def)
%            Number of atoms       : 30436 (30415 equ)
%            Maximal formula atoms :  128 (   5 avg)
%            Number of connectives : 38129 (13562   ~;14886   |;9641   &)
%                                         (   0 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   66 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :  197 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax1,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ) ).

fof(ax2,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 ) ) ).

fof(ax3,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ) ).

fof(ax4,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 ) ) ).

fof(ax5,axiom,
    ( op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ) ).

fof(ax6,axiom,
    ( op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ) ).

fof(ax7,axiom,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ) ).

fof(ax8,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ) ).

fof(ax10,axiom,
    ( ( op1(e10,e10) != e10
      | op1(e10,e10) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e11) != e10
      | op1(e10,e10) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e10,e10) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e10,e10) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e10,e10) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e11
      | op1(e10,e10) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e12) != e11
      | op1(e10,e10) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e11,e11) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e10,e10) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e11,e11) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e10,e10) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e11,e11) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e10,e10) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e11,e11) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e12
      | op1(e10,e10) != e12 )
    & ( op1(e12,e12) != e12
      | op1(e11,e11) != e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e13) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e11,e11) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e12,e12) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e10,e10) != e10 )
    & ( op1(e13,e10) != e13
      | op1(e11,e11) != e10 )
    & ( op1(e13,e10) != e13
      | op1(e12,e12) != e10 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e10,e10) != e11 )
    & ( op1(e13,e11) != e13
      | op1(e11,e11) != e11 )
    & ( op1(e13,e11) != e13
      | op1(e12,e12) != e11 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e10,e10) != e12 )
    & ( op1(e13,e12) != e13
      | op1(e11,e11) != e12 )
    & ( op1(e13,e12) != e13
      | op1(e12,e12) != e12 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 )
    & ( op1(e13,e13) != e13
      | op1(e10,e10) != e13 )
    & ( op1(e13,e13) != e13
      | op1(e11,e11) != e13 )
    & ( op1(e13,e13) != e13
      | op1(e12,e12) != e13 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) != e13 ) ) ).

fof(ax11,axiom,
    ( ( op2(e20,e20) != e20
      | op2(e20,e20) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e21) != e20
      | op2(e20,e20) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e20,e20) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e20,e20) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e20,e20) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e21
      | op2(e20,e20) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e22) != e21
      | op2(e20,e20) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e21,e21) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e20,e20) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e21,e21) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e20,e20) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e21,e21) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e20,e20) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e21,e21) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e22
      | op2(e20,e20) != e22 )
    & ( op2(e22,e22) != e22
      | op2(e21,e21) != e22 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e23) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e21,e21) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e22,e22) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e20,e20) != e20 )
    & ( op2(e23,e20) != e23
      | op2(e21,e21) != e20 )
    & ( op2(e23,e20) != e23
      | op2(e22,e22) != e20 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e20,e20) != e21 )
    & ( op2(e23,e21) != e23
      | op2(e21,e21) != e21 )
    & ( op2(e23,e21) != e23
      | op2(e22,e22) != e21 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e20,e20) != e22 )
    & ( op2(e23,e22) != e23
      | op2(e21,e21) != e22 )
    & ( op2(e23,e22) != e23
      | op2(e22,e22) != e22 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 )
    & ( op2(e23,e23) != e23
      | op2(e20,e20) != e23 )
    & ( op2(e23,e23) != e23
      | op2(e21,e21) != e23 )
    & ( op2(e23,e23) != e23
      | op2(e22,e22) != e23 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) != e23 ) ) ).

fof(ax12,axiom,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ) ).

fof(ax13,axiom,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ) ).

fof(ax14,axiom,
    ( h1(e13) = e20
    & h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)) ) ).

fof(ax15,axiom,
    ( h2(e13) = e21
    & h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)) ) ).

fof(ax16,axiom,
    ( h3(e13) = e22
    & h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ) ).

fof(ax17,axiom,
    ( h4(e13) = e23
    & h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ) ).

fof(co1,conjecture,
    ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & ( h1(e10) = e20
        | h1(e11) = e20
        | h1(e12) = e20
        | h1(e13) = e20 )
      & ( h1(e10) = e21
        | h1(e11) = e21
        | h1(e12) = e21
        | h1(e13) = e21 )
      & ( h1(e10) = e22
        | h1(e11) = e22
        | h1(e12) = e22
        | h1(e13) = e22 )
      & ( h1(e10) = e23
        | h1(e11) = e23
        | h1(e12) = e23
        | h1(e13) = e23 ) )
    | ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & ( h2(e10) = e20
        | h2(e11) = e20
        | h2(e12) = e20
        | h2(e13) = e20 )
      & ( h2(e10) = e21
        | h2(e11) = e21
        | h2(e12) = e21
        | h2(e13) = e21 )
      & ( h2(e10) = e22
        | h2(e11) = e22
        | h2(e12) = e22
        | h2(e13) = e22 )
      & ( h2(e10) = e23
        | h2(e11) = e23
        | h2(e12) = e23
        | h2(e13) = e23 ) )
    | ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & ( h3(e10) = e20
        | h3(e11) = e20
        | h3(e12) = e20
        | h3(e13) = e20 )
      & ( h3(e10) = e21
        | h3(e11) = e21
        | h3(e12) = e21
        | h3(e13) = e21 )
      & ( h3(e10) = e22
        | h3(e11) = e22
        | h3(e12) = e22
        | h3(e13) = e22 )
      & ( h3(e10) = e23
        | h3(e11) = e23
        | h3(e12) = e23
        | h3(e13) = e23 ) )
    | ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( h4(e10) = e20
        | h4(e11) = e20
        | h4(e12) = e20
        | h4(e13) = e20 )
      & ( h4(e10) = e21
        | h4(e11) = e21
        | h4(e12) = e21
        | h4(e13) = e21 )
      & ( h4(e10) = e22
        | h4(e11) = e22
        | h4(e12) = e22
        | h4(e13) = e22 )
      & ( h4(e10) = e23
        | h4(e11) = e23
        | h4(e12) = e23
        | h4(e13) = e23 ) ) ) ).

fof(subgoal_0,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) ) )
   => h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_1,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
   => h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_2,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
   => h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_3,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
   => h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_4,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
   => h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_5,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) )
   => h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_6,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
   => h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_7,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) )
   => h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_8,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
   => h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_9,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
   => h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_10,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) )
   => h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_11,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) )
   => h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_12,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
   => h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_13,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) )
   => h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_14,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
   => h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_15,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) )
   => h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    inference(strip,[],[co1]) ).

fof(subgoal_16,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & h4(e10) != e20
      & h4(e11) != e20
      & h4(e12) != e20 )
   => h4(e13) = e20 ),
    inference(strip,[],[co1]) ).

fof(subgoal_17,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( h4(e10) = e20
        | h4(e11) = e20
        | h4(e12) = e20
        | h4(e13) = e20 )
      & h4(e10) != e21
      & h4(e11) != e21
      & h4(e12) != e21 )
   => h4(e13) = e21 ),
    inference(strip,[],[co1]) ).

fof(subgoal_18,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( h4(e10) = e20
        | h4(e11) = e20
        | h4(e12) = e20
        | h4(e13) = e20 )
      & ( h4(e10) = e21
        | h4(e11) = e21
        | h4(e12) = e21
        | h4(e13) = e21 )
      & h4(e10) != e22
      & h4(e11) != e22
      & h4(e12) != e22 )
   => h4(e13) = e22 ),
    inference(strip,[],[co1]) ).

fof(subgoal_19,plain,
    ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
          & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
          & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
          & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
          & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
          & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
          & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
          & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
          & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
          & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
          & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
          & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
          & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
          & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
          & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
          & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
          & ( h1(e10) = e20
            | h1(e11) = e20
            | h1(e12) = e20
            | h1(e13) = e20 )
          & ( h1(e10) = e21
            | h1(e11) = e21
            | h1(e12) = e21
            | h1(e13) = e21 )
          & ( h1(e10) = e22
            | h1(e11) = e22
            | h1(e12) = e22
            | h1(e13) = e22 )
          & ( h1(e10) = e23
            | h1(e11) = e23
            | h1(e12) = e23
            | h1(e13) = e23 ) )
      & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
          & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
          & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
          & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
          & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
          & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
          & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
          & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
          & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
          & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
          & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
          & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
          & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
          & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
          & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
          & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
          & ( h2(e10) = e20
            | h2(e11) = e20
            | h2(e12) = e20
            | h2(e13) = e20 )
          & ( h2(e10) = e21
            | h2(e11) = e21
            | h2(e12) = e21
            | h2(e13) = e21 )
          & ( h2(e10) = e22
            | h2(e11) = e22
            | h2(e12) = e22
            | h2(e13) = e22 )
          & ( h2(e10) = e23
            | h2(e11) = e23
            | h2(e12) = e23
            | h2(e13) = e23 ) )
      & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
          & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
          & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
          & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
          & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
          & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
          & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
          & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
          & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
          & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
          & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
          & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
          & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
          & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
          & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
          & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
          & ( h3(e10) = e20
            | h3(e11) = e20
            | h3(e12) = e20
            | h3(e13) = e20 )
          & ( h3(e10) = e21
            | h3(e11) = e21
            | h3(e12) = e21
            | h3(e13) = e21 )
          & ( h3(e10) = e22
            | h3(e11) = e22
            | h3(e12) = e22
            | h3(e13) = e22 )
          & ( h3(e10) = e23
            | h3(e11) = e23
            | h3(e12) = e23
            | h3(e13) = e23 ) )
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( h4(e10) = e20
        | h4(e11) = e20
        | h4(e12) = e20
        | h4(e13) = e20 )
      & ( h4(e10) = e21
        | h4(e11) = e21
        | h4(e12) = e21
        | h4(e13) = e21 )
      & ( h4(e10) = e22
        | h4(e11) = e22
        | h4(e12) = e22
        | h4(e13) = e22 )
      & h4(e10) != e23
      & h4(e11) != e23
      & h4(e12) != e23 )
   => h4(e13) = e23 ),
    inference(strip,[],[co1]) ).

fof(negate_0_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) ) )
     => h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_0_1,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_0_3,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_0_5,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_7,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_8,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_9,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_0_10,plain,
    ( op1(e10,e13) != e10
    | op1(e11,e11) != e13 ),
    inference(conjunct,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_0_12,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_0_11]) ).

fof(normalize_0_14,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_15,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_16,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_17,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_0_9]) ).

fof(normalize_0_18,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_0_19,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_0_18]) ).

fof(normalize_0_20,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_0_18]) ).

fof(normalize_0_21,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_0_9]) ).

fof(normalize_0_22,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_0_18]) ).

fof(normalize_0_23,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_0_18]) ).

fof(normalize_0_24,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_0_18]) ).

fof(normalize_0_25,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_26,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_27,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_0_28,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_0_27]) ).

fof(normalize_0_29,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_0_30,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_0_29]) ).

fof(normalize_0_31,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_0_32,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_0_31]) ).

fof(normalize_0_33,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_0_26,normalize_0_28,normalize_0_30,normalize_0_32]) ).

fof(normalize_0_34,plain,
    h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
    inference(conjunct,[],[normalize_0_33]) ).

fof(normalize_0_35,plain,
    h1(e11) = op2(e20,e20),
    inference(conjunct,[],[normalize_0_27]) ).

fof(normalize_0_36,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_0_37,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_0_36]) ).

fof(normalize_0_38,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_0_39,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_0_38]) ).

fof(normalize_0_40,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_0_41,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(conjunct,[],[normalize_0_40]) ).

fof(normalize_0_42,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_0_43,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(conjunct,[],[normalize_0_42]) ).

fof(normalize_0_44,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_0_29]) ).

fof(normalize_0_45,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_0_46,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_0_45]) ).

fof(normalize_0_47,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_0_38]) ).

fof(normalize_0_48,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_0_38]) ).

fof(normalize_0_49,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_0_45]) ).

fof(normalize_0_50,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_0_51,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_0_50]) ).

fof(normalize_0_52,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_0_40]) ).

fof(normalize_0_53,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_0_40]) ).

fof(normalize_0_54,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_0_42]) ).

fof(normalize_0_55,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_0_56,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_0_55]) ).

fof(normalize_0_57,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_0_55]) ).

fof(normalize_0_58,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_0_42]) ).

fof(normalize_0_59,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_0_55]) ).

fof(normalize_0_60,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_0_55]) ).

fof(normalize_0_61,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_0_55]) ).

fof(normalize_0_62,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_0_50]) ).

fof(normalize_0_63,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_0_40]) ).

fof(normalize_0_64,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(conjunct,[],[normalize_0_40]) ).

fof(normalize_0_65,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e20) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    inference(conjunct,[],[normalize_0_50]) ).

fof(normalize_0_66,plain,
    op2(e20,e20) != e20,
    inference(conjunct,[],[normalize_0_42]) ).

fof(normalize_0_67,plain,
    op2(e20,e20) != op2(e20,e21),
    inference(conjunct,[],[normalize_0_40]) ).

fof(normalize_0_68,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_69,plain,
    op1(e10,e10) != e10,
    inference(conjunct,[],[normalize_0_9]) ).

fof(normalize_0_70,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_71,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_0_36]) ).

cnf(refute_0_0,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_2,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_0_7,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_0_2,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( op1(e10,e13) != e11
    | op1(e13,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_0_9,plain,
    ( op1(e10,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_0_9,refute_0_1]) ).

cnf(refute_0_11,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_0_0,refute_0_10]) ).

cnf(refute_0_12,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_13,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_14,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_0_15,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_0_16,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_7,refute_0_16]) ).

cnf(refute_0_18,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_19,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_0_20,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_0_18,refute_0_19]) ).

cnf(refute_0_21,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_0_22,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_0_23,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_0_21,refute_0_22]) ).

cnf(refute_0_24,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_0_20,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_26,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_0_26:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_0_28,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_0_24,refute_0_27]) ).

cnf(refute_0_29,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_0_17,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_0_31,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_0_13,refute_0_31]) ).

cnf(refute_0_33,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_0_34,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_0_36,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e11) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_0_34,refute_0_35]) ).

cnf(refute_0_37,plain,
    e12 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_0_36,refute_0_12]) ).

cnf(refute_0_38,plain,
    ( op1(e10,e13) != e12
    | e12 = op1(e10,e13) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_0_39,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_0_38,refute_0_37]) ).

cnf(refute_0_40,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_11,refute_0_39]) ).

cnf(refute_0_41,plain,
    ( op1(e10,e13) != e10
    | op1(e11,e11) != e13 ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_42,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_43,plain,
    ( op1(e10,e11) != e12
    | op1(e10,e11) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).

cnf(refute_0_44,plain,
    ( op1(e10,e11) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_0_34,refute_0_43]) ).

cnf(refute_0_45,plain,
    ( e12 = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_42,refute_0_44]) ).

cnf(refute_0_46,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_47,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_0_48,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_0_34,refute_0_47]) ).

cnf(refute_0_49,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_0_46,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_0_14]) ).

cnf(refute_0_51,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_52,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_0_53,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_7,refute_0_52]) ).

cnf(refute_0_54,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_0_53,refute_0_51]) ).

cnf(refute_0_55,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_0_50,refute_0_54]) ).

cnf(refute_0_56,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_57,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_0_58,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_0_34,refute_0_57]) ).

cnf(refute_0_59,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_0_58,refute_0_56]) ).

cnf(refute_0_60,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_0_61,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_0_60,refute_0_59]) ).

cnf(refute_0_62,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_0_55,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_64,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_0_65,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_7,refute_0_64]) ).

cnf(refute_0_66,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_65,refute_0_63]) ).

cnf(refute_0_67,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_0_68,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_67,refute_0_66]) ).

cnf(refute_0_69,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_62,refute_0_68]) ).

cnf(refute_0_70,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_0_71,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_69,refute_0_70]) ).

cnf(refute_0_72,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_0_49,refute_0_71]) ).

cnf(refute_0_73,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_0_19]) ).

cnf(refute_0_74,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_72,refute_0_73]) ).

cnf(refute_0_75,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_76,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_0_77,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_0_76,refute_0_75]) ).

cnf(refute_0_78,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_0_74,refute_0_77]) ).

cnf(refute_0_79,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_0_21]) ).

cnf(refute_0_80,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_0_78,refute_0_79]) ).

cnf(refute_0_81,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[0],$fot(e11)]]) ).

cnf(refute_0_82,plain,
    ( op1(e12,e11) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_0_80,refute_0_81]) ).

cnf(refute_0_83,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_0_45,refute_0_82]) ).

cnf(refute_0_84,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_0_85,plain,
    ( op1(e13,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_69,refute_0_84]) ).

cnf(refute_0_86,plain,
    ( e10 = e13
    | e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_83,refute_0_85]) ).

cnf(refute_0_87,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_0_22]) ).

cnf(refute_0_88,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_0_23]) ).

cnf(refute_0_90,plain,
    ( e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_88,refute_0_89]) ).

cnf(refute_0_91,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_0_24]) ).

cnf(refute_0_92,plain,
    op1(e11,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_90,refute_0_91]) ).

cnf(refute_0_93,plain,
    ( e13 != e13
    | op1(e11,e11) != e13
    | op1(e11,e11) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[1],$fot(e13)]]) ).

cnf(refute_0_94,plain,
    ( e13 != e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_0_92,refute_0_93]) ).

cnf(refute_0_95,plain,
    ( e13 != e13
    | op1(e10,e13) != e10 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_0_94,refute_0_41]) ).

cnf(refute_0_96,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_0_97,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_96,refute_0_95]) ).

cnf(refute_0_98,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_0_40,refute_0_97]) ).

cnf(refute_0_99,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_0_25]) ).

cnf(refute_0_100,plain,
    h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
    inference(canonicalize,[],[normalize_0_34]) ).

cnf(refute_0_101,plain,
    h1(e11) = op2(e20,e20),
    inference(canonicalize,[],[normalize_0_35]) ).

cnf(refute_0_102,plain,
    ( h1(e11) != op2(e20,e20)
    | op2(e20,e20) = h1(e11) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_0_103,plain,
    op2(e20,e20) = h1(e11),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_0_37]) ).

cnf(refute_0_105,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_0_39]) ).

cnf(refute_0_106,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_0_107,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_0_109,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_0_104,refute_0_109]) ).

cnf(refute_0_111,plain,
    op2(e20,h4(e10)) = op2(e20,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).

cnf(refute_0_112,plain,
    ( h4(e10) != e20
    | op2(e20,h4(e10)) != op2(e20,h4(e10))
    | op2(e20,h4(e10)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).

cnf(refute_0_113,plain,
    ( h4(e10) != e20
    | op2(e20,h4(e10)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    op2(e20,h4(e10)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_110,refute_0_113]) ).

cnf(refute_0_115,plain,
    op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_0_116,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).

cnf(refute_0_117,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_110,refute_0_117]) ).

cnf(refute_0_119,plain,
    ( op2(e20,h4(e10)) != op2(e20,e20)
    | op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e20,e20) ),
    inference(subst,[],[refute_0_26:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_0_120,plain,
    ( op2(e20,h4(e10)) != op2(e20,e20)
    | op2(h4(e10),h4(e10)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    op2(h4(e10),h4(e10)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_0_114,refute_0_120]) ).

cnf(refute_0_122,plain,
    ( op2(e20,e20) != h1(e11)
    | op2(h4(e10),h4(e10)) != op2(e20,e20)
    | op2(h4(e10),h4(e10)) = h1(e11) ),
    inference(subst,[],[refute_0_26:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).

cnf(refute_0_123,plain,
    ( op2(e20,e20) != h1(e11)
    | op2(h4(e10),h4(e10)) = h1(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_0_121,refute_0_122]) ).

cnf(refute_0_124,plain,
    op2(h4(e10),h4(e10)) = h1(e11),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_103,refute_0_123]) ).

cnf(refute_0_125,plain,
    ( h4(op1(e10,e10)) != h1(e11)
    | op2(h4(e10),h4(e10)) != h1(e11)
    | h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1],$fot(h1(e11))]]) ).

cnf(refute_0_126,plain,
    ( h4(op1(e10,e10)) != h1(e11)
    | h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    h4(op1(e10,e10)) != h1(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_0_126,refute_0_100]) ).

cnf(refute_0_128,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(canonicalize,[],[normalize_0_41]) ).

cnf(refute_0_129,plain,
    ( h1(e11) != op2(e20,e23)
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_0_130,plain,
    ( h1(e11) != op2(e20,e23)
    | op2(e20,e20) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_103,refute_0_129]) ).

cnf(refute_0_131,plain,
    h1(e11) != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_0_130,refute_0_128]) ).

cnf(refute_0_132,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(canonicalize,[],[normalize_0_43]) ).

cnf(refute_0_133,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_0_44]) ).

cnf(refute_0_134,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_0_135,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_0_137,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_135,refute_0_136]) ).

cnf(refute_0_138,plain,
    ( h2(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_0_137,refute_0_132]) ).

cnf(refute_0_139,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_0_46]) ).

cnf(refute_0_140,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_0_47]) ).

cnf(refute_0_141,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_0_48]) ).

cnf(refute_0_142,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_0_143,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_0_141,refute_0_142]) ).

cnf(refute_0_144,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_0_145,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_0_146,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_0_144,refute_0_145]) ).

cnf(refute_0_147,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_143,refute_0_146]) ).

cnf(refute_0_148,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_0_149,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_0_150,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_0_107,refute_0_150]) ).

cnf(refute_0_152,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_0_26:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_0_153,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_0_151,refute_0_152]) ).

cnf(refute_0_154,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_0_147,refute_0_153]) ).

cnf(refute_0_155,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_0_156,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_0_140,refute_0_156]) ).

cnf(refute_0_158,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_0_159,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_0_157,refute_0_158]) ).

cnf(refute_0_160,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_0_161,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_0_159,refute_0_160]) ).

cnf(refute_0_162,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_0_139,refute_0_161]) ).

cnf(refute_0_163,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_0_164,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_135,refute_0_163]) ).

cnf(refute_0_165,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_0_162,refute_0_164]) ).

cnf(refute_0_166,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_0_49]) ).

cnf(refute_0_167,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_0_168,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_0_159,refute_0_167]) ).

cnf(refute_0_169,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_0_166,refute_0_168]) ).

cnf(refute_0_170,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_0_171,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_135,refute_0_170]) ).

cnf(refute_0_172,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_0_169,refute_0_171]) ).

cnf(refute_0_173,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_0_51]) ).

cnf(refute_0_174,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_0_52]) ).

cnf(refute_0_175,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_0_176,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_143,refute_0_175]) ).

cnf(refute_0_177,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_0_176,refute_0_174]) ).

cnf(refute_0_178,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_0_173,refute_0_177]) ).

cnf(refute_0_179,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_0_53]) ).

cnf(refute_0_180,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_0_181,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_0_159,refute_0_180]) ).

cnf(refute_0_182,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_0_181,refute_0_179]) ).

cnf(refute_0_183,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_0_184,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_0_183,refute_0_182]) ).

cnf(refute_0_185,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_0_178,refute_0_184]) ).

cnf(refute_0_186,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_0_54]) ).

cnf(refute_0_187,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_0_188,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_143,refute_0_187]) ).

cnf(refute_0_189,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_188,refute_0_186]) ).

cnf(refute_0_190,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_0_191,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_190,refute_0_189]) ).

cnf(refute_0_192,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_185,refute_0_191]) ).

cnf(refute_0_193,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_0_194,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_0_172,refute_0_194]) ).

cnf(refute_0_196,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_0_56]) ).

cnf(refute_0_197,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_0_57]) ).

cnf(refute_0_199,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_0_200,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_199,refute_0_198]) ).

cnf(refute_0_201,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_0_197,refute_0_200]) ).

cnf(refute_0_202,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_0_58]) ).

cnf(refute_0_203,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_0_204,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_135,refute_0_203]) ).

cnf(refute_0_205,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_0_204,refute_0_202]) ).

cnf(refute_0_206,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_0_201,refute_0_205]) ).

cnf(refute_0_207,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_0_208,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_0_206,refute_0_207]) ).

cnf(refute_0_209,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_0_165,refute_0_208]) ).

cnf(refute_0_210,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_0_211,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_192,refute_0_210]) ).

cnf(refute_0_212,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_209,refute_0_211]) ).

cnf(refute_0_213,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_0_59]) ).

cnf(refute_0_214,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_212,refute_0_213]) ).

cnf(refute_0_215,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_0_60]) ).

cnf(refute_0_216,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_214,refute_0_215]) ).

cnf(refute_0_217,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_0_61]) ).

cnf(refute_0_218,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_216,refute_0_217]) ).

cnf(refute_0_219,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_0_220,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_0_218,refute_0_219]) ).

cnf(refute_0_221,plain,
    ( e23 != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_0_220,refute_0_138]) ).

cnf(refute_0_222,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_0_223,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_222,refute_0_221]) ).

cnf(refute_0_224,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_0_62]) ).

cnf(refute_0_225,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_0_63]) ).

cnf(refute_0_226,plain,
    ( op2(e20,e23) != e21
    | op2(e23,e23) != e21
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_0_227,plain,
    ( op2(e20,e23) != e21
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_143,refute_0_226]) ).

cnf(refute_0_228,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_0_227,refute_0_225]) ).

cnf(refute_0_229,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_0_224,refute_0_228]) ).

cnf(refute_0_230,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(canonicalize,[],[normalize_0_64]) ).

cnf(refute_0_231,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_0_232,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_0_159,refute_0_231]) ).

cnf(refute_0_233,plain,
    e22 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_0_232,refute_0_230]) ).

cnf(refute_0_234,plain,
    ( op2(e20,e23) != e22
    | e22 = op2(e20,e23) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_0_235,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_0_234,refute_0_233]) ).

cnf(refute_0_236,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_229,refute_0_235]) ).

cnf(refute_0_237,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | op2(e20,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_0_238,plain,
    ( e20 != e20
    | op2(e20,e23) = e20
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_0_236,refute_0_237]) ).

cnf(refute_0_239,plain,
    ( e20 != e20
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_0_238,refute_0_223]) ).

cnf(refute_0_240,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_0_241,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_240,refute_0_239]) ).

cnf(refute_0_242,plain,
    ( h1(e11) != e23
    | op2(e20,e23) != e23
    | h1(e11) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e23)]]) ).

cnf(refute_0_243,plain,
    ( h1(e11) != e23
    | h1(e11) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_0_241,refute_0_242]) ).

cnf(refute_0_244,plain,
    h1(e11) != e23,
    inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_0_243,refute_0_131]) ).

cnf(refute_0_245,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e20) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    inference(canonicalize,[],[normalize_0_65]) ).

cnf(refute_0_246,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).

cnf(refute_0_247,plain,
    ( op2(e20,e20) != e20
    | h1(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_103,refute_0_246]) ).

cnf(refute_0_248,plain,
    ( h1(e11) = e20
    | op2(e20,e20) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_245,refute_0_247]) ).

cnf(refute_0_249,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).

cnf(refute_0_250,plain,
    ( op2(e20,e20) != e21
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_103,refute_0_249]) ).

cnf(refute_0_251,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_0_248,refute_0_250]) ).

cnf(refute_0_252,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).

cnf(refute_0_253,plain,
    ( op2(e20,e20) != e22
    | h1(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_103,refute_0_252]) ).

cnf(refute_0_254,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | op2(e20,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_0_251,refute_0_253]) ).

cnf(refute_0_255,plain,
    ( op2(e20,e20) != e23
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).

cnf(refute_0_256,plain,
    ( op2(e20,e20) != e23
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_103,refute_0_255]) ).

cnf(refute_0_257,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_254,refute_0_256]) ).

cnf(refute_0_258,plain,
    op2(e20,e20) != e20,
    inference(canonicalize,[],[normalize_0_66]) ).

cnf(refute_0_259,plain,
    ( h1(e11) != e20
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_0_260,plain,
    ( h1(e11) != e20
    | op2(e20,e20) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_103,refute_0_259]) ).

cnf(refute_0_261,plain,
    h1(e11) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_260,refute_0_258]) ).

cnf(refute_0_262,plain,
    ( h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_257,refute_0_261]) ).

cnf(refute_0_263,plain,
    op2(e20,e20) != op2(e20,e21),
    inference(canonicalize,[],[normalize_0_67]) ).

cnf(refute_0_264,plain,
    ( h1(e11) != op2(e20,e21)
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).

cnf(refute_0_265,plain,
    ( h1(e11) != op2(e20,e21)
    | op2(e20,e20) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_103,refute_0_264]) ).

cnf(refute_0_266,plain,
    ( h1(e11) != e22
    | op2(e20,e21) != e22
    | h1(e11) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e22)]]) ).

cnf(refute_0_267,plain,
    ( h1(e11) != e22
    | h1(e11) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_0_159,refute_0_266]) ).

cnf(refute_0_268,plain,
    ( h1(e11) != e22
    | op2(e20,e20) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_0_267,refute_0_265]) ).

cnf(refute_0_269,plain,
    h1(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_0_268,refute_0_263]) ).

cnf(refute_0_270,plain,
    ( h1(e11) = e21
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_0_262,refute_0_269]) ).

cnf(refute_0_271,plain,
    ( e23 != e23
    | h1(e11) != e23
    | h1(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_0_272,plain,
    ( e23 != e23
    | h1(e11) = e21
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_270,refute_0_271]) ).

cnf(refute_0_273,plain,
    ( e23 != e23
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_272,refute_0_244]) ).

cnf(refute_0_274,plain,
    h1(e11) = e21,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_222,refute_0_273]) ).

cnf(refute_0_275,plain,
    ( h1(e11) != e21
    | h4(op1(e10,e10)) != e21
    | h4(op1(e10,e10)) = h1(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_0_276,plain,
    ( h4(op1(e10,e10)) != e21
    | h4(op1(e10,e10)) = h1(e11) ),
    inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    h4(op1(e10,e10)) != e21,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_0_276,refute_0_127]) ).

cnf(refute_0_278,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(canonicalize,[],[normalize_0_68]) ).

cnf(refute_0_279,plain,
    op1(e10,e10) != e10,
    inference(canonicalize,[],[normalize_0_69]) ).

cnf(refute_0_280,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(canonicalize,[],[normalize_0_70]) ).

cnf(refute_0_282,plain,
    ( op1(e10,e10) != e12
    | op1(e10,e11) != e12
    | op1(e10,e10) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e12)]]) ).

cnf(refute_0_283,plain,
    ( op1(e10,e10) != e12
    | op1(e10,e10) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_0_34,refute_0_282]) ).

cnf(refute_0_284,plain,
    op1(e10,e10) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_0_283,refute_0_281]) ).

cnf(refute_0_285,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_280,refute_0_284]) ).

cnf(refute_0_286,plain,
    ( h4(e11) != e21
    | op1(e10,e10) != e11
    | h4(op1(e10,e10)) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),e21) ),[0,0],$fot(e11)]]) ).

cnf(refute_0_287,plain,
    ( h4(e11) != e21
    | h4(op1(e10,e10)) = e21
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_0_285,refute_0_286]) ).

cnf(refute_0_288,plain,
    ( h4(e11) != e21
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_0_287,refute_0_277]) ).

cnf(refute_0_289,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_0_71]) ).

cnf(refute_0_290,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_0_291,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_143,refute_0_290]) ).

cnf(refute_0_292,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_0_289,refute_0_291]) ).

cnf(refute_0_293,plain,
    ( e21 != e21
    | h4(e11) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).

cnf(refute_0_294,plain,
    ( e21 != e21
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_0_292,refute_0_293]) ).

cnf(refute_0_295,plain,
    ( e21 != e21
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_0_294,refute_0_288]) ).

cnf(refute_0_296,plain,
    op1(e10,e10) = e13,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_190,refute_0_295]) ).

cnf(refute_0_297,plain,
    ( e13 != op1(e10,e13)
    | op1(e10,e10) != e13
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_0_298,plain,
    ( e13 != op1(e10,e13)
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_296,refute_0_297]) ).

cnf(refute_0_299,plain,
    e13 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_0_298,refute_0_99]) ).

cnf(refute_0_300,plain,
    ( op1(e10,e13) != e13
    | e13 = op1(e10,e13) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e13))]]) ).

cnf(refute_0_301,plain,
    op1(e10,e13) != e13,
    inference(resolve,[$cnf( $equal(e13,op1(e10,e13)) )],[refute_0_300,refute_0_299]) ).

cnf(refute_0_302,plain,
    $false,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_98,refute_0_301]) ).

fof(negate_1_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
     => h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    inference(negate,[],[subgoal_1]) ).

fof(normalize_1_0,plain,
    ( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_1_0]) ).

fof(normalize_1_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_1_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_1_1]) ).

fof(normalize_1_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_1_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_1_3]) ).

fof(normalize_1_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_1_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_1_5]) ).

fof(normalize_1_7,plain,
    ( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_1_0,normalize_1_2,normalize_1_4,normalize_1_6]) ).

fof(normalize_1_8,plain,
    h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
    inference(conjunct,[],[normalize_1_7]) ).

fof(normalize_1_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_1_10,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_1_9]) ).

fof(normalize_1_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_1_12,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_1_11]) ).

fof(normalize_1_13,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_1_11]) ).

fof(normalize_1_14,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_1_11]) ).

fof(normalize_1_15,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_1_16,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_1_15]) ).

fof(normalize_1_17,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_1_15]) ).

fof(normalize_1_18,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_1_15]) ).

fof(normalize_1_19,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_1_9]) ).

fof(normalize_1_20,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_1_9]) ).

cnf(refute_1_0,plain,
    h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
    inference(canonicalize,[],[normalize_1_8]) ).

cnf(refute_1_1,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_1_10]) ).

cnf(refute_1_2,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_1_12]) ).

cnf(refute_1_3,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_1_13]) ).

cnf(refute_1_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_1_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_1_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_1_4,refute_1_5]) ).

cnf(refute_1_7,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_1_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_1_8,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_1_3,refute_1_7]) ).

cnf(refute_1_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_1_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_1_11,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_1_9,refute_1_10]) ).

cnf(refute_1_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_8,refute_1_11]) ).

cnf(refute_1_13,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_1_14]) ).

cnf(refute_1_14,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_1_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_1_15,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_1_13,refute_1_14]) ).

cnf(refute_1_16,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_1_17,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_1_18,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_1_16,refute_1_17]) ).

cnf(refute_1_19,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_1_15,refute_1_18]) ).

cnf(refute_1_20,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_1_21,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_6,refute_1_20]) ).

cnf(refute_1_22,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_1_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_1_23,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_1_19,refute_1_22]) ).

cnf(refute_1_24,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_1_12,refute_1_23]) ).

cnf(refute_1_25,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_1_26,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_1_24,refute_1_25]) ).

cnf(refute_1_27,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_1_2,refute_1_26]) ).

cnf(refute_1_28,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_1_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_1_29,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_1_27,refute_1_28]) ).

cnf(refute_1_30,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_1_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_1_31,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_1_24,refute_1_30]) ).

cnf(refute_1_32,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_1_29,refute_1_31]) ).

cnf(refute_1_33,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_1_34,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_1_32,refute_1_33]) ).

cnf(refute_1_35,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_1_1,refute_1_34]) ).

cnf(refute_1_36,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_1_16]) ).

cnf(refute_1_37,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_1_17]) ).

cnf(refute_1_38,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_1_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_1_39,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_1_37,refute_1_38]) ).

cnf(refute_1_40,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_1_41,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_1_42,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_1_40,refute_1_41]) ).

cnf(refute_1_43,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_39,refute_1_42]) ).

cnf(refute_1_44,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_1_18]) ).

cnf(refute_1_45,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_1_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_1_46,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_1_44,refute_1_45]) ).

cnf(refute_1_47,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_1_48,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_1_49,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_1_47,refute_1_48]) ).

cnf(refute_1_50,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_1_46,refute_1_49]) ).

cnf(refute_1_51,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_1_21:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_1_52,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_1_50,refute_1_51]) ).

cnf(refute_1_53,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_1_43,refute_1_52]) ).

cnf(refute_1_54,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_1_55,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_1_53,refute_1_54]) ).

cnf(refute_1_56,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_1_36,refute_1_55]) ).

cnf(refute_1_57,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_1_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_1_58,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_1_56,refute_1_57]) ).

cnf(refute_1_59,plain,
    h4(op1(e10,e11)) = h4(op1(e10,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).

cnf(refute_1_60,plain,
    ( h4(op1(e10,e11)) != h4(op1(e10,e11))
    | op1(e10,e11) != e12
    | h4(op1(e10,e11)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e12)]]) ).

cnf(refute_1_61,plain,
    ( op1(e10,e11) != e12
    | h4(op1(e10,e11)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_1_59,refute_1_60]) ).

cnf(refute_1_62,plain,
    h4(op1(e10,e11)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_1_58,refute_1_61]) ).

cnf(refute_1_63,plain,
    ( h4(e12) != e22
    | h4(op1(e10,e11)) != h4(e12)
    | h4(op1(e10,e11)) = e22 ),
    inference(subst,[],[refute_1_21:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_1_64,plain,
    ( h4(e12) != e22
    | h4(op1(e10,e11)) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e12)) )],[refute_1_62,refute_1_63]) ).

cnf(refute_1_65,plain,
    h4(op1(e10,e11)) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_1_35,refute_1_64]) ).

cnf(refute_1_66,plain,
    ( e22 != op2(h4(e10),h4(e11))
    | h4(op1(e10,e11)) != e22
    | h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),e22) ),[1],$fot(op2(h4(e10),h4(e11)))]]) ).

cnf(refute_1_67,plain,
    ( e22 != op2(h4(e10),h4(e11))
    | h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e22) )],[refute_1_65,refute_1_66]) ).

cnf(refute_1_68,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_1_19]) ).

cnf(refute_1_69,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_1_70,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_8,refute_1_69]) ).

cnf(refute_1_71,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_1_68,refute_1_70]) ).

cnf(refute_1_72,plain,
    op2(e20,h4(e11)) = op2(e20,h4(e11)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).

cnf(refute_1_73,plain,
    ( h4(e11) != e21
    | op2(e20,h4(e11)) != op2(e20,h4(e11))
    | op2(e20,h4(e11)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).

cnf(refute_1_74,plain,
    ( h4(e11) != e21
    | op2(e20,h4(e11)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_1_72,refute_1_73]) ).

cnf(refute_1_75,plain,
    op2(e20,h4(e11)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_1_71,refute_1_74]) ).

cnf(refute_1_76,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_1_20]) ).

cnf(refute_1_77,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_1_78,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_1_15,refute_1_77]) ).

cnf(refute_1_79,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_1_76,refute_1_78]) ).

cnf(refute_1_80,plain,
    op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).

cnf(refute_1_81,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
    | op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).

cnf(refute_1_82,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_1_80,refute_1_81]) ).

cnf(refute_1_83,plain,
    op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_79,refute_1_82]) ).

cnf(refute_1_84,plain,
    ( op2(e20,h4(e11)) != op2(e20,e21)
    | op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
    | op2(h4(e10),h4(e11)) = op2(e20,e21) ),
    inference(subst,[],[refute_1_21:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_1_85,plain,
    ( op2(e20,h4(e11)) != op2(e20,e21)
    | op2(h4(e10),h4(e11)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_1_83,refute_1_84]) ).

cnf(refute_1_86,plain,
    op2(h4(e10),h4(e11)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_1_75,refute_1_85]) ).

cnf(refute_1_87,plain,
    ( op2(e20,e21) != e22
    | op2(h4(e10),h4(e11)) != op2(e20,e21)
    | op2(h4(e10),h4(e11)) = e22 ),
    inference(subst,[],[refute_1_21:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_1_88,plain,
    ( op2(e20,e21) != e22
    | op2(h4(e10),h4(e11)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_1_86,refute_1_87]) ).

cnf(refute_1_89,plain,
    op2(h4(e10),h4(e11)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_1_29,refute_1_88]) ).

cnf(refute_1_90,plain,
    ( e22 != e22
    | op2(h4(e10),h4(e11)) != e22
    | e22 = op2(h4(e10),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(h4(e10),h4(e11))) ),[1],$fot(e22)]]) ).

cnf(refute_1_91,plain,
    ( e22 != e22
    | e22 = op2(h4(e10),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),e22) )],[refute_1_89,refute_1_90]) ).

cnf(refute_1_92,plain,
    ( e22 != e22
    | h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    inference(resolve,[$cnf( $equal(e22,op2(h4(e10),h4(e11))) )],[refute_1_91,refute_1_67]) ).

cnf(refute_1_93,plain,
    e22 != e22,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_1_92,refute_1_0]) ).

cnf(refute_1_94,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_1_95,plain,
    $false,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_94,refute_1_93]) ).

fof(negate_2_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
     => h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    inference(negate,[],[subgoal_2]) ).

fof(normalize_2_0,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_2_0]) ).

fof(normalize_2_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_2_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_2_1]) ).

fof(normalize_2_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_2_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_2_3]) ).

fof(normalize_2_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_2_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_2_5]) ).

fof(normalize_2_7,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_2_0,normalize_2_2,normalize_2_4,normalize_2_6]) ).

fof(normalize_2_8,plain,
    h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
    inference(conjunct,[],[normalize_2_7]) ).

fof(normalize_2_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_2_10,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_2_9]) ).

fof(normalize_2_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_2_12,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_2_11]) ).

fof(normalize_2_13,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_2_11]) ).

fof(normalize_2_14,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_2_11]) ).

fof(normalize_2_15,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_2_9]) ).

fof(normalize_2_16,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_2_17,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(conjunct,[],[normalize_2_16]) ).

fof(normalize_2_18,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_2_3]) ).

fof(normalize_2_19,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_2_20,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_2_19]) ).

fof(normalize_2_21,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_2_19]) ).

fof(normalize_2_22,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_2_23,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_2_22]) ).

fof(normalize_2_24,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_2_25,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_2_24]) ).

fof(normalize_2_26,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_2_24]) ).

fof(normalize_2_27,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_2_16]) ).

fof(normalize_2_28,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_2_29,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_2_28]) ).

fof(normalize_2_30,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_2_28]) ).

fof(normalize_2_31,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_2_16]) ).

fof(normalize_2_32,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_2_28]) ).

fof(normalize_2_33,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_2_28]) ).

fof(normalize_2_34,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_2_28]) ).

fof(normalize_2_35,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(conjunct,[],[normalize_2_19]) ).

fof(normalize_2_36,plain,
    h1(e11) = op2(e20,e20),
    inference(conjunct,[],[normalize_2_1]) ).

fof(normalize_2_37,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_2_28]) ).

fof(normalize_2_38,plain,
    op2(e20,e20) != e20,
    inference(conjunct,[],[normalize_2_16]) ).

fof(normalize_2_39,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_2_40,plain,
    ( op1(e10,e13) != e10
    | op1(e11,e11) != e13 ),
    inference(conjunct,[],[normalize_2_39]) ).

fof(normalize_2_41,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_2_42,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_2_41]) ).

fof(normalize_2_43,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_2_44,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_2_43]) ).

fof(normalize_2_45,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_2_43]) ).

fof(normalize_2_46,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_2_43]) ).

fof(normalize_2_47,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_2_41]) ).

fof(normalize_2_48,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_2_49,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_2_48]) ).

fof(normalize_2_50,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_2_51,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_2_50]) ).

fof(normalize_2_52,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_2_50]) ).

fof(normalize_2_53,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_2_39]) ).

fof(normalize_2_54,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_2_55,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_2_54]) ).

fof(normalize_2_56,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_2_54]) ).

fof(normalize_2_57,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_2_39]) ).

fof(normalize_2_58,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_2_54]) ).

fof(normalize_2_59,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_2_54]) ).

fof(normalize_2_60,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_2_54]) ).

fof(normalize_2_61,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(conjunct,[],[normalize_2_41]) ).

fof(normalize_2_62,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_2_54]) ).

fof(normalize_2_63,plain,
    op1(e10,e10) != e10,
    inference(conjunct,[],[normalize_2_39]) ).

cnf(refute_2_0,plain,
    h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
    inference(canonicalize,[],[normalize_2_8]) ).

cnf(refute_2_1,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_2_10]) ).

cnf(refute_2_2,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_2_12]) ).

cnf(refute_2_3,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_2_13]) ).

cnf(refute_2_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_2_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_2_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_2_4,refute_2_5]) ).

cnf(refute_2_7,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_2_8,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_2_3,refute_2_7]) ).

cnf(refute_2_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_2_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_2_11,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_2_9,refute_2_10]) ).

cnf(refute_2_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_8,refute_2_11]) ).

cnf(refute_2_13,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_2_14]) ).

cnf(refute_2_14,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_2_15,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_2_13,refute_2_14]) ).

cnf(refute_2_16,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_2_17,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_2_18,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_2_16,refute_2_17]) ).

cnf(refute_2_19,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_2_15,refute_2_18]) ).

cnf(refute_2_20,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_2_21,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_6,refute_2_20]) ).

cnf(refute_2_22,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_2_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_2_23,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_2_19,refute_2_22]) ).

cnf(refute_2_24,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_2_12,refute_2_23]) ).

cnf(refute_2_25,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_2_26,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_2_24,refute_2_25]) ).

cnf(refute_2_27,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_2_2,refute_2_26]) ).

cnf(refute_2_28,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_2_29,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_2_27,refute_2_28]) ).

cnf(refute_2_30,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_2_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_2_31,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_2_24,refute_2_30]) ).

cnf(refute_2_32,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_29,refute_2_31]) ).

cnf(refute_2_33,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_2_34,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_2_32,refute_2_33]) ).

cnf(refute_2_35,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_2_1,refute_2_34]) ).

cnf(refute_2_36,plain,
    op2(e20,h4(e12)) = op2(e20,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).

cnf(refute_2_37,plain,
    ( h4(e12) != e22
    | op2(e20,h4(e12)) != op2(e20,h4(e12))
    | op2(e20,h4(e12)) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_2_38,plain,
    ( h4(e12) != e22
    | op2(e20,h4(e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_2_36,refute_2_37]) ).

cnf(refute_2_39,plain,
    op2(e20,h4(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_2_35,refute_2_38]) ).

cnf(refute_2_40,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_2_15]) ).

cnf(refute_2_41,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_2_42,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_2_15,refute_2_41]) ).

cnf(refute_2_43,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_2_40,refute_2_42]) ).

cnf(refute_2_44,plain,
    op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).

cnf(refute_2_45,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
    | op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).

cnf(refute_2_46,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_2_44,refute_2_45]) ).

cnf(refute_2_47,plain,
    op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_43,refute_2_46]) ).

cnf(refute_2_48,plain,
    ( op2(e20,h4(e12)) != op2(e20,e22)
    | op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
    | op2(h4(e10),h4(e12)) = op2(e20,e22) ),
    inference(subst,[],[refute_2_21:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).

cnf(refute_2_49,plain,
    ( op2(e20,h4(e12)) != op2(e20,e22)
    | op2(h4(e10),h4(e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_2_47,refute_2_48]) ).

cnf(refute_2_50,plain,
    op2(h4(e10),h4(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_2_39,refute_2_49]) ).

cnf(refute_2_51,plain,
    ( h4(op1(e10,e12)) != op2(e20,e22)
    | op2(h4(e10),h4(e12)) != op2(e20,e22)
    | h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_2_52,plain,
    ( h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_2_50,refute_2_51]) ).

cnf(refute_2_53,plain,
    h4(op1(e10,e12)) != op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_2_52,refute_2_0]) ).

cnf(refute_2_54,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(canonicalize,[],[normalize_2_17]) ).

cnf(refute_2_55,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_2_18]) ).

cnf(refute_2_56,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_2_57,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_2_55,refute_2_56]) ).

cnf(refute_2_58,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_2_59,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_2_57,refute_2_58]) ).

cnf(refute_2_60,plain,
    ( h2(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_2_59,refute_2_54]) ).

cnf(refute_2_61,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_2_20]) ).

cnf(refute_2_62,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_2_63,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_29,refute_2_62]) ).

cnf(refute_2_64,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_2_61,refute_2_63]) ).

cnf(refute_2_65,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_2_66,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_2_57,refute_2_65]) ).

cnf(refute_2_67,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_2_64,refute_2_66]) ).

cnf(refute_2_68,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_2_21]) ).

cnf(refute_2_69,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_2_70,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_29,refute_2_69]) ).

cnf(refute_2_71,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_68,refute_2_70]) ).

cnf(refute_2_72,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_2_73,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_2_57,refute_2_72]) ).

cnf(refute_2_74,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_2_71,refute_2_73]) ).

cnf(refute_2_75,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_2_23]) ).

cnf(refute_2_76,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_2_25]) ).

cnf(refute_2_77,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_2_78,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_8,refute_2_77]) ).

cnf(refute_2_79,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_2_78,refute_2_76]) ).

cnf(refute_2_80,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_2_75,refute_2_79]) ).

cnf(refute_2_81,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_2_26]) ).

cnf(refute_2_82,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_2_83,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_29,refute_2_82]) ).

cnf(refute_2_84,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_2_83,refute_2_81]) ).

cnf(refute_2_85,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_2_86,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_2_85,refute_2_84]) ).

cnf(refute_2_87,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_2_80,refute_2_86]) ).

cnf(refute_2_88,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_2_27]) ).

cnf(refute_2_89,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_2_90,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_8,refute_2_89]) ).

cnf(refute_2_91,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_90,refute_2_88]) ).

cnf(refute_2_92,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_2_93,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_92,refute_2_91]) ).

cnf(refute_2_94,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_2_87,refute_2_93]) ).

cnf(refute_2_95,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_2_96,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_2_94,refute_2_95]) ).

cnf(refute_2_97,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_2_74,refute_2_96]) ).

cnf(refute_2_98,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_2_29]) ).

cnf(refute_2_99,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_97,refute_2_98]) ).

cnf(refute_2_100,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_2_30]) ).

cnf(refute_2_101,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_2_102,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_101,refute_2_100]) ).

cnf(refute_2_103,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_2_99,refute_2_102]) ).

cnf(refute_2_104,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_2_31]) ).

cnf(refute_2_105,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_2_106,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_2_57,refute_2_105]) ).

cnf(refute_2_107,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_2_106,refute_2_104]) ).

cnf(refute_2_108,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_2_103,refute_2_107]) ).

cnf(refute_2_109,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_2_110,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_2_108,refute_2_109]) ).

cnf(refute_2_111,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_2_67,refute_2_110]) ).

cnf(refute_2_112,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_2_113,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_2_94,refute_2_112]) ).

cnf(refute_2_114,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_2_111,refute_2_113]) ).

cnf(refute_2_115,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_2_32]) ).

cnf(refute_2_116,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_114,refute_2_115]) ).

cnf(refute_2_117,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_2_33]) ).

cnf(refute_2_118,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_116,refute_2_117]) ).

cnf(refute_2_119,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_2_34]) ).

cnf(refute_2_120,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_118,refute_2_119]) ).

cnf(refute_2_121,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_2_122,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_2_120,refute_2_121]) ).

cnf(refute_2_123,plain,
    ( e23 != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_2_122,refute_2_60]) ).

cnf(refute_2_124,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_2_125,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_124,refute_2_123]) ).

cnf(refute_2_126,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(canonicalize,[],[normalize_2_35]) ).

cnf(refute_2_127,plain,
    h1(e11) = op2(e20,e20),
    inference(canonicalize,[],[normalize_2_36]) ).

cnf(refute_2_128,plain,
    ( h1(e11) != op2(e20,e20)
    | op2(e20,e20) = h1(e11) ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_2_129,plain,
    op2(e20,e20) = h1(e11),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_2_127,refute_2_128]) ).

cnf(refute_2_130,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).

cnf(refute_2_131,plain,
    ( op2(e20,e20) != e20
    | h1(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_129,refute_2_130]) ).

cnf(refute_2_132,plain,
    ( h1(e11) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_126,refute_2_131]) ).

cnf(refute_2_133,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(e22)]]) ).

cnf(refute_2_134,plain,
    ( op2(e20,e21) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_29,refute_2_133]) ).

cnf(refute_2_135,plain,
    ( e22 = e20
    | h1(e11) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_2_132,refute_2_134]) ).

cnf(refute_2_136,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_2_37]) ).

cnf(refute_2_137,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_2_138,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_137,refute_2_136]) ).

cnf(refute_2_139,plain,
    ( h1(e11) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_135,refute_2_138]) ).

cnf(refute_2_140,plain,
    op2(e20,e20) != e20,
    inference(canonicalize,[],[normalize_2_38]) ).

cnf(refute_2_141,plain,
    ( h1(e11) != e20
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_2_142,plain,
    ( h1(e11) != e20
    | op2(e20,e20) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_129,refute_2_141]) ).

cnf(refute_2_143,plain,
    h1(e11) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_142,refute_2_140]) ).

cnf(refute_2_144,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_139,refute_2_143]) ).

cnf(refute_2_145,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | op2(e20,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_2_146,plain,
    ( e20 != e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_144,refute_2_145]) ).

cnf(refute_2_147,plain,
    ( e20 != e20
    | op2(e20,e22) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_146,refute_2_125]) ).

cnf(refute_2_148,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_2_149,plain,
    op2(e20,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_2_148,refute_2_147]) ).

cnf(refute_2_150,plain,
    ( h4(op1(e10,e12)) != e20
    | op2(e20,e22) != e20
    | h4(op1(e10,e12)) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_2_151,plain,
    ( h4(op1(e10,e12)) != e20
    | h4(op1(e10,e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_2_149,refute_2_150]) ).

cnf(refute_2_152,plain,
    h4(op1(e10,e12)) != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_2_151,refute_2_53]) ).

cnf(refute_2_153,plain,
    ( op1(e10,e13) != e10
    | op1(e11,e11) != e13 ),
    inference(canonicalize,[],[normalize_2_40]) ).

cnf(refute_2_154,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_2_42]) ).

cnf(refute_2_155,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_2_44]) ).

cnf(refute_2_156,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_2_45]) ).

cnf(refute_2_157,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_2_158,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_2_156,refute_2_157]) ).

cnf(refute_2_159,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_2_160,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_2_161,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_2_159,refute_2_160]) ).

cnf(refute_2_162,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_158,refute_2_161]) ).

cnf(refute_2_163,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_2_46]) ).

cnf(refute_2_164,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_2_165,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_2_163,refute_2_164]) ).

cnf(refute_2_166,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_2_167,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_2_168,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_2_166,refute_2_167]) ).

cnf(refute_2_169,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_2_165,refute_2_168]) ).

cnf(refute_2_170,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_2_21:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_2_171,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_2_169,refute_2_170]) ).

cnf(refute_2_172,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_2_162,refute_2_171]) ).

cnf(refute_2_173,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_2_174,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_2_172,refute_2_173]) ).

cnf(refute_2_175,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_2_155,refute_2_174]) ).

cnf(refute_2_176,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_2_177,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_2_175,refute_2_176]) ).

cnf(refute_2_178,plain,
    ( op1(e10,e11) != e12
    | op1(e10,e11) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).

cnf(refute_2_179,plain,
    ( op1(e10,e11) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_177,refute_2_178]) ).

cnf(refute_2_180,plain,
    ( e12 = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_2_154,refute_2_179]) ).

cnf(refute_2_181,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_2_47]) ).

cnf(refute_2_182,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_2_183,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_177,refute_2_182]) ).

cnf(refute_2_184,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_181,refute_2_183]) ).

cnf(refute_2_185,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_2_49]) ).

cnf(refute_2_186,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_2_51]) ).

cnf(refute_2_187,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_2_188,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_158,refute_2_187]) ).

cnf(refute_2_189,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_2_188,refute_2_186]) ).

cnf(refute_2_190,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_2_185,refute_2_189]) ).

cnf(refute_2_191,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_2_52]) ).

cnf(refute_2_192,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_2_193,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_177,refute_2_192]) ).

cnf(refute_2_194,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_2_193,refute_2_191]) ).

cnf(refute_2_195,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_2_196,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_2_195,refute_2_194]) ).

cnf(refute_2_197,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_2_190,refute_2_196]) ).

cnf(refute_2_198,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_2_53]) ).

cnf(refute_2_199,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_2_200,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_158,refute_2_199]) ).

cnf(refute_2_201,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_200,refute_2_198]) ).

cnf(refute_2_202,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_2_203,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_202,refute_2_201]) ).

cnf(refute_2_204,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_2_197,refute_2_203]) ).

cnf(refute_2_205,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_2_206,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_2_204,refute_2_205]) ).

cnf(refute_2_207,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_2_184,refute_2_206]) ).

cnf(refute_2_208,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_2_55]) ).

cnf(refute_2_209,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_2_207,refute_2_208]) ).

cnf(refute_2_210,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_2_56]) ).

cnf(refute_2_211,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_2_212,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_211,refute_2_210]) ).

cnf(refute_2_213,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_2_209,refute_2_212]) ).

cnf(refute_2_214,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_2_57]) ).

cnf(refute_2_215,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_2_213,refute_2_214]) ).

cnf(refute_2_216,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[0],$fot(e11)]]) ).

cnf(refute_2_217,plain,
    ( op1(e12,e11) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_2_215,refute_2_216]) ).

cnf(refute_2_218,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_2_180,refute_2_217]) ).

cnf(refute_2_219,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_2_220,plain,
    ( op1(e13,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_2_204,refute_2_219]) ).

cnf(refute_2_221,plain,
    ( e10 = e13
    | e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_2_218,refute_2_220]) ).

cnf(refute_2_222,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_2_58]) ).

cnf(refute_2_223,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_2_221,refute_2_222]) ).

cnf(refute_2_224,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_2_59]) ).

cnf(refute_2_225,plain,
    ( e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_2_223,refute_2_224]) ).

cnf(refute_2_226,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_2_60]) ).

cnf(refute_2_227,plain,
    op1(e11,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_2_225,refute_2_226]) ).

cnf(refute_2_228,plain,
    ( e13 != e13
    | op1(e11,e11) != e13
    | op1(e11,e11) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[1],$fot(e13)]]) ).

cnf(refute_2_229,plain,
    ( e13 != e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_2_227,refute_2_228]) ).

cnf(refute_2_230,plain,
    ( e13 != e13
    | op1(e10,e13) != e10 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_2_229,refute_2_153]) ).

cnf(refute_2_231,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_2_232,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_231,refute_2_230]) ).

cnf(refute_2_233,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(canonicalize,[],[normalize_2_61]) ).

cnf(refute_2_234,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) != e12
    | e12 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e12)]]) ).

cnf(refute_2_235,plain,
    ( op1(e10,e11) != e10
    | e12 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_177,refute_2_234]) ).

cnf(refute_2_236,plain,
    ( e12 = e10
    | op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_2_233,refute_2_235]) ).

cnf(refute_2_237,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_2_62]) ).

cnf(refute_2_238,plain,
    ( e12 != e10
    | e10 = e12 ),
    inference(subst,[],[refute_2_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).

cnf(refute_2_239,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_238,refute_2_237]) ).

cnf(refute_2_240,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_2_236,refute_2_239]) ).

cnf(refute_2_241,plain,
    op1(e10,e10) != e10,
    inference(canonicalize,[],[normalize_2_63]) ).

cnf(refute_2_242,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_240,refute_2_241]) ).

cnf(refute_2_243,plain,
    ( e10 != e10
    | op1(e10,e13) != e10
    | op1(e10,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0,0],$fot(e10)]]) ).

cnf(refute_2_244,plain,
    ( e10 != e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_242,refute_2_243]) ).

cnf(refute_2_245,plain,
    ( e10 != e10
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_244,refute_2_232]) ).

cnf(refute_2_246,plain,
    e10 = e10,
    introduced(tautology,[refl,[$fot(e10)]]) ).

cnf(refute_2_247,plain,
    op1(e10,e12) = e10,
    inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_246,refute_2_245]) ).

cnf(refute_2_248,plain,
    h4(op1(e10,e12)) = h4(op1(e10,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).

cnf(refute_2_249,plain,
    ( h4(op1(e10,e12)) != h4(op1(e10,e12))
    | op1(e10,e12) != e10
    | h4(op1(e10,e12)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).

cnf(refute_2_250,plain,
    ( op1(e10,e12) != e10
    | h4(op1(e10,e12)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_2_248,refute_2_249]) ).

cnf(refute_2_251,plain,
    h4(op1(e10,e12)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_247,refute_2_250]) ).

cnf(refute_2_252,plain,
    ( h4(e10) != e20
    | h4(op1(e10,e12)) != h4(e10)
    | h4(op1(e10,e12)) = e20 ),
    inference(subst,[],[refute_2_21:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_2_253,plain,
    ( h4(e10) != e20
    | h4(op1(e10,e12)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_2_251,refute_2_252]) ).

cnf(refute_2_254,plain,
    h4(op1(e10,e12)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_43,refute_2_253]) ).

cnf(refute_2_255,plain,
    ( e20 != e20
    | h4(op1(e10,e12)) != e20
    | h4(op1(e10,e12)) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e20) ),[1],$fot(e20)]]) ).

cnf(refute_2_256,plain,
    ( e20 != e20
    | h4(op1(e10,e12)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e20) )],[refute_2_254,refute_2_255]) ).

cnf(refute_2_257,plain,
    e20 != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e20) )],[refute_2_256,refute_2_152]) ).

cnf(refute_2_258,plain,
    $false,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_2_148,refute_2_257]) ).

fof(negate_3_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
     => h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
    inference(negate,[],[subgoal_3]) ).

fof(normalize_3_0,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_3_1,plain,
    ( op1(e10,e13) != e10
    | op1(e11,e11) != e13 ),
    inference(conjunct,[],[normalize_3_0]) ).

fof(normalize_3_2,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_3_3,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_3_2]) ).

fof(normalize_3_4,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_3_5,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_3_4]) ).

fof(normalize_3_6,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_3_4]) ).

fof(normalize_3_7,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_3_4]) ).

fof(normalize_3_8,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_3_2]) ).

fof(normalize_3_9,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_3_10,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_3_9]) ).

fof(normalize_3_11,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_3_12,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_3_11]) ).

fof(normalize_3_13,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_3_11]) ).

fof(normalize_3_14,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_3_0]) ).

fof(normalize_3_15,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_3_16,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_17,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_18,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_3_0]) ).

fof(normalize_3_19,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_20,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_21,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_22,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_3_0]) ).

fof(normalize_3_23,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_3_24,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_3_23]) ).

fof(normalize_3_25,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_3_26,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_27,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_3_28,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_3_27]) ).

fof(normalize_3_29,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_3_22,normalize_3_24,normalize_3_26,normalize_3_28]) ).

fof(normalize_3_30,plain,
    h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
    inference(conjunct,[],[normalize_3_29]) ).

fof(normalize_3_31,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_3_32,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_3_31]) ).

fof(normalize_3_33,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_3_31]) ).

fof(normalize_3_34,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_3_35,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_3_34]) ).

fof(normalize_3_36,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_3_37,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(conjunct,[],[normalize_3_36]) ).

fof(normalize_3_38,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_39,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_3_40,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_3_39]) ).

fof(normalize_3_41,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_3_34]) ).

fof(normalize_3_42,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_3_34]) ).

fof(normalize_3_43,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_3_39]) ).

fof(normalize_3_44,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_3_45,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_3_44]) ).

fof(normalize_3_46,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_3_47,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_3_46]) ).

fof(normalize_3_48,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_3_46]) ).

fof(normalize_3_49,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_3_36]) ).

fof(normalize_3_50,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_3_51,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_3_50]) ).

fof(normalize_3_52,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_3_50]) ).

fof(normalize_3_53,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_3_36]) ).

fof(normalize_3_54,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_3_50]) ).

fof(normalize_3_55,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_3_50]) ).

fof(normalize_3_56,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_3_50]) ).

fof(normalize_3_57,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_3_44]) ).

fof(normalize_3_58,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_3_46]) ).

fof(normalize_3_59,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(conjunct,[],[normalize_3_46]) ).

fof(normalize_3_60,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_3_9]) ).

fof(normalize_3_61,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_3_11]) ).

fof(normalize_3_62,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(conjunct,[],[normalize_3_11]) ).

cnf(refute_3_0,plain,
    ( op1(e10,e13) != e10
    | op1(e11,e11) != e13 ),
    inference(canonicalize,[],[normalize_3_1]) ).

cnf(refute_3_1,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_3_3]) ).

cnf(refute_3_2,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_3_5]) ).

cnf(refute_3_3,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_3_6]) ).

cnf(refute_3_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_3_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_3_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_3_4,refute_3_5]) ).

cnf(refute_3_7,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_3_8,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_3_3,refute_3_7]) ).

cnf(refute_3_9,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_3_10,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_3_11,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_3_9,refute_3_10]) ).

cnf(refute_3_12,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_8,refute_3_11]) ).

cnf(refute_3_13,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_3_7]) ).

cnf(refute_3_14,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_3_15,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_3_13,refute_3_14]) ).

cnf(refute_3_16,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_3_17,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_3_18,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_3_16,refute_3_17]) ).

cnf(refute_3_19,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_3_15,refute_3_18]) ).

cnf(refute_3_20,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_3_21,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_6,refute_3_20]) ).

cnf(refute_3_22,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_3_21:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_3_23,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_3_19,refute_3_22]) ).

cnf(refute_3_24,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_3_12,refute_3_23]) ).

cnf(refute_3_25,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_3_26,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_3_24,refute_3_25]) ).

cnf(refute_3_27,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_3_2,refute_3_26]) ).

cnf(refute_3_28,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_3_29,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_3_27,refute_3_28]) ).

cnf(refute_3_30,plain,
    ( op1(e10,e11) != e12
    | op1(e10,e11) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).

cnf(refute_3_31,plain,
    ( op1(e10,e11) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_3_29,refute_3_30]) ).

cnf(refute_3_32,plain,
    ( e12 = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_3_1,refute_3_31]) ).

cnf(refute_3_33,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_3_8]) ).

cnf(refute_3_34,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_3_35,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_3_29,refute_3_34]) ).

cnf(refute_3_36,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_3_33,refute_3_35]) ).

cnf(refute_3_37,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_3_10]) ).

cnf(refute_3_38,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_3_12]) ).

cnf(refute_3_39,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_3_40,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_8,refute_3_39]) ).

cnf(refute_3_41,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_3_40,refute_3_38]) ).

cnf(refute_3_42,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_3_37,refute_3_41]) ).

cnf(refute_3_43,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_3_13]) ).

cnf(refute_3_44,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_3_45,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_3_29,refute_3_44]) ).

cnf(refute_3_46,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_3_45,refute_3_43]) ).

cnf(refute_3_47,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_3_48,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_3_47,refute_3_46]) ).

cnf(refute_3_49,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_3_42,refute_3_48]) ).

cnf(refute_3_50,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_3_14]) ).

cnf(refute_3_51,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_3_52,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_8,refute_3_51]) ).

cnf(refute_3_53,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_52,refute_3_50]) ).

cnf(refute_3_54,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_3_55,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_3_54,refute_3_53]) ).

cnf(refute_3_56,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_3_49,refute_3_55]) ).

cnf(refute_3_57,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_3_58,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_3_56,refute_3_57]) ).

cnf(refute_3_59,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_3_36,refute_3_58]) ).

cnf(refute_3_60,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_3_16]) ).

cnf(refute_3_61,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_3_59,refute_3_60]) ).

cnf(refute_3_62,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_3_17]) ).

cnf(refute_3_63,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_3_64,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_3_63,refute_3_62]) ).

cnf(refute_3_65,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_3_61,refute_3_64]) ).

cnf(refute_3_66,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_3_18]) ).

cnf(refute_3_67,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_3_65,refute_3_66]) ).

cnf(refute_3_68,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[0],$fot(e11)]]) ).

cnf(refute_3_69,plain,
    ( op1(e12,e11) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_3_67,refute_3_68]) ).

cnf(refute_3_70,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_3_32,refute_3_69]) ).

cnf(refute_3_71,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_3_72,plain,
    ( op1(e13,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_3_56,refute_3_71]) ).

cnf(refute_3_73,plain,
    ( e10 = e13
    | e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_3_70,refute_3_72]) ).

cnf(refute_3_74,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_3_19]) ).

cnf(refute_3_75,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_3_73,refute_3_74]) ).

cnf(refute_3_76,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_3_20]) ).

cnf(refute_3_77,plain,
    ( e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_3_75,refute_3_76]) ).

cnf(refute_3_78,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_3_21]) ).

cnf(refute_3_79,plain,
    op1(e11,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_3_77,refute_3_78]) ).

cnf(refute_3_80,plain,
    ( e13 != e13
    | op1(e11,e11) != e13
    | op1(e11,e11) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[1],$fot(e13)]]) ).

cnf(refute_3_81,plain,
    ( e13 != e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_3_79,refute_3_80]) ).

cnf(refute_3_82,plain,
    ( e13 != e13
    | op1(e10,e13) != e10 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_3_81,refute_3_0]) ).

cnf(refute_3_83,plain,
    h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
    inference(canonicalize,[],[normalize_3_30]) ).

cnf(refute_3_84,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_3_32]) ).

cnf(refute_3_85,plain,
    op2(e20,h4(e13)) = op2(e20,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).

cnf(refute_3_86,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) != op2(e20,h4(e13))
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_3_87,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_3_85,refute_3_86]) ).

cnf(refute_3_88,plain,
    op2(e20,h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_84,refute_3_87]) ).

cnf(refute_3_89,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_3_33]) ).

cnf(refute_3_90,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_3_35]) ).

cnf(refute_3_91,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_3_92,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_3_90,refute_3_91]) ).

cnf(refute_3_93,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_3_94,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_3_92,refute_3_93]) ).

cnf(refute_3_95,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_3_89,refute_3_94]) ).

cnf(refute_3_96,plain,
    op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_3_97,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_3_98,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_3_96,refute_3_97]) ).

cnf(refute_3_99,plain,
    op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_95,refute_3_98]) ).

cnf(refute_3_100,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(subst,[],[refute_3_21:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).

cnf(refute_3_101,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_3_99,refute_3_100]) ).

cnf(refute_3_102,plain,
    op2(h4(e10),h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_3_88,refute_3_101]) ).

cnf(refute_3_103,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) != op2(e20,e23)
    | h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_3_104,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_3_102,refute_3_103]) ).

cnf(refute_3_105,plain,
    h4(op1(e10,e13)) != op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_3_104,refute_3_83]) ).

cnf(refute_3_106,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(canonicalize,[],[normalize_3_37]) ).

cnf(refute_3_107,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_3_38]) ).

cnf(refute_3_108,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_3_109,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_3_107,refute_3_108]) ).

cnf(refute_3_110,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_3_111,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_3_109,refute_3_110]) ).

cnf(refute_3_112,plain,
    ( h2(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_3_111,refute_3_106]) ).

cnf(refute_3_113,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_3_40]) ).

cnf(refute_3_114,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_3_41]) ).

cnf(refute_3_115,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_3_42]) ).

cnf(refute_3_116,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_3_117,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_3_115,refute_3_116]) ).

cnf(refute_3_118,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_3_119,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_3_120,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_3_118,refute_3_119]) ).

cnf(refute_3_121,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_117,refute_3_120]) ).

cnf(refute_3_122,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_3_123,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_3_124,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_3_122,refute_3_123]) ).

cnf(refute_3_125,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_3_92,refute_3_124]) ).

cnf(refute_3_126,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_3_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_3_127,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_3_125,refute_3_126]) ).

cnf(refute_3_128,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_3_121,refute_3_127]) ).

cnf(refute_3_129,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_3_130,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_3_128,refute_3_129]) ).

cnf(refute_3_131,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_3_114,refute_3_130]) ).

cnf(refute_3_132,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_3_133,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_3_131,refute_3_132]) ).

cnf(refute_3_134,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_3_135,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_3_133,refute_3_134]) ).

cnf(refute_3_136,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_3_113,refute_3_135]) ).

cnf(refute_3_137,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_3_138,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_3_109,refute_3_137]) ).

cnf(refute_3_139,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_3_136,refute_3_138]) ).

cnf(refute_3_140,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_3_43]) ).

cnf(refute_3_141,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_3_142,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_3_133,refute_3_141]) ).

cnf(refute_3_143,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_3_140,refute_3_142]) ).

cnf(refute_3_144,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_3_145,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_3_109,refute_3_144]) ).

cnf(refute_3_146,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_3_143,refute_3_145]) ).

cnf(refute_3_147,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_3_45]) ).

cnf(refute_3_148,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_3_47]) ).

cnf(refute_3_149,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_3_150,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_117,refute_3_149]) ).

cnf(refute_3_151,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_3_150,refute_3_148]) ).

cnf(refute_3_152,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_3_147,refute_3_151]) ).

cnf(refute_3_153,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_3_48]) ).

cnf(refute_3_154,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_3_155,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_3_133,refute_3_154]) ).

cnf(refute_3_156,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_3_155,refute_3_153]) ).

cnf(refute_3_157,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_3_158,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_3_157,refute_3_156]) ).

cnf(refute_3_159,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_3_152,refute_3_158]) ).

cnf(refute_3_160,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_3_49]) ).

cnf(refute_3_161,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_3_162,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_117,refute_3_161]) ).

cnf(refute_3_163,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_162,refute_3_160]) ).

cnf(refute_3_164,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_3_165,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_164,refute_3_163]) ).

cnf(refute_3_166,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_159,refute_3_165]) ).

cnf(refute_3_167,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_3_168,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_3_166,refute_3_167]) ).

cnf(refute_3_169,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_3_146,refute_3_168]) ).

cnf(refute_3_170,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_3_51]) ).

cnf(refute_3_171,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_3_169,refute_3_170]) ).

cnf(refute_3_172,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_3_52]) ).

cnf(refute_3_173,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_3_174,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_3_173,refute_3_172]) ).

cnf(refute_3_175,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_3_171,refute_3_174]) ).

cnf(refute_3_176,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_3_53]) ).

cnf(refute_3_177,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_3_178,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_3_109,refute_3_177]) ).

cnf(refute_3_179,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_3_178,refute_3_176]) ).

cnf(refute_3_180,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_3_175,refute_3_179]) ).

cnf(refute_3_181,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_3_182,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_3_180,refute_3_181]) ).

cnf(refute_3_183,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_3_139,refute_3_182]) ).

cnf(refute_3_184,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_3_185,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_3_166,refute_3_184]) ).

cnf(refute_3_186,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_183,refute_3_185]) ).

cnf(refute_3_187,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_3_54]) ).

cnf(refute_3_188,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_3_186,refute_3_187]) ).

cnf(refute_3_189,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_3_55]) ).

cnf(refute_3_190,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_3_188,refute_3_189]) ).

cnf(refute_3_191,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_3_56]) ).

cnf(refute_3_192,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_3_190,refute_3_191]) ).

cnf(refute_3_193,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_3_194,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_3_192,refute_3_193]) ).

cnf(refute_3_195,plain,
    ( e23 != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_3_194,refute_3_112]) ).

cnf(refute_3_196,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_3_197,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_196,refute_3_195]) ).

cnf(refute_3_198,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_3_57]) ).

cnf(refute_3_199,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_3_58]) ).

cnf(refute_3_200,plain,
    ( op2(e20,e23) != e21
    | op2(e23,e23) != e21
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_3_201,plain,
    ( op2(e20,e23) != e21
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_117,refute_3_200]) ).

cnf(refute_3_202,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_3_201,refute_3_199]) ).

cnf(refute_3_203,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_3_198,refute_3_202]) ).

cnf(refute_3_204,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(canonicalize,[],[normalize_3_59]) ).

cnf(refute_3_205,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_3_206,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_3_133,refute_3_205]) ).

cnf(refute_3_207,plain,
    e22 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_3_206,refute_3_204]) ).

cnf(refute_3_208,plain,
    ( op2(e20,e23) != e22
    | e22 = op2(e20,e23) ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_3_209,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_3_208,refute_3_207]) ).

cnf(refute_3_210,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_3_203,refute_3_209]) ).

cnf(refute_3_211,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | op2(e20,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_3_212,plain,
    ( e20 != e20
    | op2(e20,e23) = e20
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_3_210,refute_3_211]) ).

cnf(refute_3_213,plain,
    ( e20 != e20
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_3_212,refute_3_197]) ).

cnf(refute_3_214,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_3_215,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_3_214,refute_3_213]) ).

cnf(refute_3_216,plain,
    ( h4(op1(e10,e13)) != e23
    | op2(e20,e23) != e23
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[1],$fot(e23)]]) ).

cnf(refute_3_217,plain,
    ( h4(op1(e10,e13)) != e23
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_215,refute_3_216]) ).

cnf(refute_3_218,plain,
    h4(op1(e10,e13)) != e23,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_3_217,refute_3_105]) ).

cnf(refute_3_219,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_3_60]) ).

cnf(refute_3_220,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_3_61]) ).

cnf(refute_3_221,plain,
    ( op1(e10,e13) != e11
    | op1(e13,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_3_222,plain,
    ( op1(e10,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_8,refute_3_221]) ).

cnf(refute_3_223,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_3_222,refute_3_220]) ).

cnf(refute_3_224,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_3_219,refute_3_223]) ).

cnf(refute_3_225,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(canonicalize,[],[normalize_3_62]) ).

cnf(refute_3_226,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_3_227,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e11) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_3_29,refute_3_226]) ).

cnf(refute_3_228,plain,
    e12 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_3_227,refute_3_225]) ).

cnf(refute_3_229,plain,
    ( op1(e10,e13) != e12
    | e12 = op1(e10,e13) ),
    inference(subst,[],[refute_3_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_3_230,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_3_229,refute_3_228]) ).

cnf(refute_3_231,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_3_224,refute_3_230]) ).

cnf(refute_3_232,plain,
    ( h4(e13) != e23
    | op1(e10,e13) != e13
    | h4(op1(e10,e13)) = e23 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),e23) ),[0,0],$fot(e13)]]) ).

cnf(refute_3_233,plain,
    ( h4(e13) != e23
    | h4(op1(e10,e13)) = e23
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_231,refute_3_232]) ).

cnf(refute_3_234,plain,
    ( h4(e13) != e23
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_3_233,refute_3_218]) ).

cnf(refute_3_235,plain,
    ( e23 != e23
    | h4(e13) != e23
    | h4(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(e23)]]) ).

cnf(refute_3_236,plain,
    ( e23 != e23
    | h4(e13) = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_84,refute_3_235]) ).

cnf(refute_3_237,plain,
    ( e23 != e23
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_236,refute_3_234]) ).

cnf(refute_3_238,plain,
    op1(e10,e13) = e10,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_196,refute_3_237]) ).

cnf(refute_3_239,plain,
    ( e10 != e10
    | op1(e10,e13) != e10
    | op1(e10,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0,0],$fot(e10)]]) ).

cnf(refute_3_240,plain,
    ( e10 != e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_238,refute_3_239]) ).

cnf(refute_3_241,plain,
    ( e10 != e10
    | e13 != e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_240,refute_3_82]) ).

cnf(refute_3_242,plain,
    e10 = e10,
    introduced(tautology,[refl,[$fot(e10)]]) ).

cnf(refute_3_243,plain,
    e13 != e13,
    inference(resolve,[$cnf( $equal(e10,e10) )],[refute_3_242,refute_3_241]) ).

cnf(refute_3_244,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_3_245,plain,
    $false,
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_3_244,refute_3_243]) ).

fof(negate_4_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
     => h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
    inference(negate,[],[subgoal_4]) ).

fof(normalize_4_0,plain,
    ( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_4_0]) ).

fof(normalize_4_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_4_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_4_1]) ).

fof(normalize_4_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_4_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_4_3]) ).

fof(normalize_4_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_4_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_4_5]) ).

fof(normalize_4_7,plain,
    ( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_4_0,normalize_4_2,normalize_4_4,normalize_4_6]) ).

fof(normalize_4_8,plain,
    h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
    inference(conjunct,[],[normalize_4_7]) ).

fof(normalize_4_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_4_10,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_4_9]) ).

fof(normalize_4_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_4_12,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_4_11]) ).

fof(normalize_4_13,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_4_9]) ).

fof(normalize_4_14,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_4_11]) ).

fof(normalize_4_15,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_4_16,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_17,plain,
    h1(e11) = op2(e20,e20),
    inference(conjunct,[],[normalize_4_1]) ).

fof(normalize_4_18,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_4_19,plain,
    op2(e20,e20) != e20,
    inference(conjunct,[],[normalize_4_18]) ).

fof(normalize_4_20,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_21,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_22,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_4_11]) ).

fof(normalize_4_23,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_4_3]) ).

fof(normalize_4_24,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_4_25,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_4_24]) ).

fof(normalize_4_26,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_4_27,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_28,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_29,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_4_18]) ).

fof(normalize_4_30,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_4_31,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_4_30]) ).

fof(normalize_4_32,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_4_30]) ).

fof(normalize_4_33,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_4_18]) ).

fof(normalize_4_34,plain,
    h3(e11) = op2(e22,e22),
    inference(conjunct,[],[normalize_4_5]) ).

fof(normalize_4_35,plain,
    op2(e22,e22) != e22,
    inference(conjunct,[],[normalize_4_18]) ).

fof(normalize_4_36,plain,
    h3(e10) = op2(e22,op2(e22,e22)),
    inference(conjunct,[],[normalize_4_5]) ).

fof(normalize_4_37,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_38,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(conjunct,[],[normalize_4_18]) ).

fof(normalize_4_39,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_40,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_4_30]) ).

fof(normalize_4_41,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_4_30]) ).

fof(normalize_4_42,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_4_30]) ).

fof(normalize_4_43,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_44,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_4_30]) ).

fof(normalize_4_45,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(conjunct,[],[normalize_4_24]) ).

fof(normalize_4_46,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_47,plain,
    h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
    inference(conjunct,[],[normalize_4_3]) ).

fof(normalize_4_48,plain,
    h2(e10) = op2(e21,op2(e21,e21)),
    inference(conjunct,[],[normalize_4_3]) ).

fof(normalize_4_49,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_50,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_51,plain,
    ( op2(e21,e21) != e23
    | op2(e22,e23) != e22 ),
    inference(conjunct,[],[normalize_4_18]) ).

fof(normalize_4_52,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_53,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_54,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_55,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_56,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_57,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_58,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_59,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_60,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_61,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_4_62,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(conjunct,[],[normalize_4_61]) ).

fof(normalize_4_63,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_4_64,plain,
    op1(e10,e10) != e10,
    inference(conjunct,[],[normalize_4_63]) ).

fof(normalize_4_65,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference(conjunct,[],[normalize_4_61]) ).

fof(normalize_4_66,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_4_61]) ).

fof(normalize_4_67,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_4_68,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_4_67]) ).

fof(normalize_4_69,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_4_67]) ).

fof(normalize_4_70,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_4_67]) ).

fof(normalize_4_71,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_4_72,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_4_71]) ).

fof(normalize_4_73,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_4_74,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_4_73]) ).

fof(normalize_4_75,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_4_73]) ).

fof(normalize_4_76,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_4_63]) ).

fof(normalize_4_77,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_4_78,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_4_77]) ).

fof(normalize_4_79,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_4_77]) ).

fof(normalize_4_80,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_4_63]) ).

fof(normalize_4_81,plain,
    op1(e12,e12) != e12,
    inference(conjunct,[],[normalize_4_63]) ).

fof(normalize_4_82,plain,
    ( op1(e11,e11) != e13
    | op1(e12,e13) != e12 ),
    inference(conjunct,[],[normalize_4_63]) ).

fof(normalize_4_83,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_4_61]) ).

fof(normalize_4_84,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_4_77]) ).

fof(normalize_4_85,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_4_77]) ).

fof(normalize_4_86,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_4_77]) ).

fof(normalize_4_87,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    inference(conjunct,[],[normalize_4_61]) ).

fof(normalize_4_88,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(conjunct,[],[normalize_4_61]) ).

fof(normalize_4_89,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(conjunct,[],[normalize_4_73]) ).

fof(normalize_4_90,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(conjunct,[],[normalize_4_61]) ).

fof(normalize_4_91,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_4_73]) ).

fof(normalize_4_92,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(conjunct,[],[normalize_4_73]) ).

fof(normalize_4_93,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(conjunct,[],[normalize_4_7]) ).

fof(normalize_4_94,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(conjunct,[],[normalize_4_71]) ).

fof(normalize_4_95,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(conjunct,[],[normalize_4_73]) ).

fof(normalize_4_96,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_4_9]) ).

fof(normalize_4_97,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_4_77]) ).

cnf(refute_4_0,plain,
    h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
    inference(canonicalize,[],[normalize_4_8]) ).

cnf(refute_4_1,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_4_10]) ).

cnf(refute_4_2,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_4_12]) ).

cnf(refute_4_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_4_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_4_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_4_3,refute_4_4]) ).

cnf(refute_4_6,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_4_7,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_4_2,refute_4_6]) ).

cnf(refute_4_8,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_4_9,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_4_7,refute_4_8]) ).

cnf(refute_4_10,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_4_1,refute_4_9]) ).

cnf(refute_4_11,plain,
    op2(e21,h4(e10)) = op2(e21,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).

cnf(refute_4_12,plain,
    ( h4(e10) != e20
    | op2(e21,h4(e10)) != op2(e21,h4(e10))
    | op2(e21,h4(e10)) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) ),[1,1],$fot(e20)]]) ).

cnf(refute_4_13,plain,
    ( h4(e10) != e20
    | op2(e21,h4(e10)) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_4_11,refute_4_12]) ).

cnf(refute_4_14,plain,
    op2(e21,h4(e10)) = op2(e21,e20),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_10,refute_4_13]) ).

cnf(refute_4_15,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_4_13]) ).

cnf(refute_4_16,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_4_14]) ).

cnf(refute_4_17,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_4_18,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_4_16,refute_4_17]) ).

cnf(refute_4_19,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_4_20,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_19]) ).

cnf(refute_4_21,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_4_15,refute_4_20]) ).

cnf(refute_4_22,plain,
    op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).

cnf(refute_4_23,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
    | op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(e21)]]) ).

cnf(refute_4_24,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_4_22,refute_4_23]) ).

cnf(refute_4_25,plain,
    op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_21,refute_4_24]) ).

cnf(refute_4_26,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_4_27,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_5,refute_4_26]) ).

cnf(refute_4_28,plain,
    ( op2(e21,h4(e10)) != op2(e21,e20)
    | op2(h4(e11),h4(e10)) != op2(e21,h4(e10))
    | op2(h4(e11),h4(e10)) = op2(e21,e20) ),
    inference(subst,[],[refute_4_27:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).

cnf(refute_4_29,plain,
    ( op2(e21,h4(e10)) != op2(e21,e20)
    | op2(h4(e11),h4(e10)) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,h4(e10))) )],[refute_4_25,refute_4_28]) ).

cnf(refute_4_30,plain,
    op2(h4(e11),h4(e10)) = op2(e21,e20),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_4_14,refute_4_29]) ).

cnf(refute_4_31,plain,
    ( h4(op1(e11,e10)) != op2(e21,e20)
    | op2(h4(e11),h4(e10)) != op2(e21,e20)
    | h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_4_32,plain,
    ( h4(op1(e11,e10)) != op2(e21,e20)
    | h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_4_30,refute_4_31]) ).

cnf(refute_4_33,plain,
    h4(op1(e11,e10)) != op2(e21,e20),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_4_32,refute_4_0]) ).

cnf(refute_4_34,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    inference(canonicalize,[],[normalize_4_16]) ).

cnf(refute_4_35,plain,
    h1(e11) = op2(e20,e20),
    inference(canonicalize,[],[normalize_4_17]) ).

cnf(refute_4_36,plain,
    ( h1(e11) != op2(e20,e20)
    | op2(e20,e20) = h1(e11) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_4_37,plain,
    op2(e20,e20) = h1(e11),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_4_35,refute_4_36]) ).

cnf(refute_4_38,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).

cnf(refute_4_39,plain,
    ( op2(e20,e20) != e20
    | h1(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_37,refute_4_38]) ).

cnf(refute_4_40,plain,
    ( h1(e11) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_34,refute_4_39]) ).

cnf(refute_4_41,plain,
    op2(e20,e20) != e20,
    inference(canonicalize,[],[normalize_4_19]) ).

cnf(refute_4_42,plain,
    ( h1(e11) != e20
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_4_43,plain,
    ( h1(e11) != e20
    | op2(e20,e20) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_37,refute_4_42]) ).

cnf(refute_4_44,plain,
    h1(e11) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_43,refute_4_41]) ).

cnf(refute_4_45,plain,
    ( op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_40,refute_4_44]) ).

cnf(refute_4_46,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    inference(canonicalize,[],[normalize_4_20]) ).

cnf(refute_4_47,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_4_21]) ).

cnf(refute_4_48,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_4_22]) ).

cnf(refute_4_49,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_4_50,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_4_51,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_4_49,refute_4_50]) ).

cnf(refute_4_52,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_51]) ).

cnf(refute_4_53,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_4_54,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_4_55,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_4_53,refute_4_54]) ).

cnf(refute_4_56,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_4_7,refute_4_55]) ).

cnf(refute_4_57,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_4_27:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_4_58,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_4_56,refute_4_57]) ).

cnf(refute_4_59,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_4_52,refute_4_58]) ).

cnf(refute_4_60,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_4_61,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_4_59,refute_4_60]) ).

cnf(refute_4_62,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_4_48,refute_4_61]) ).

cnf(refute_4_63,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_4_64,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_4_62,refute_4_63]) ).

cnf(refute_4_65,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_4_66,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_64,refute_4_65]) ).

cnf(refute_4_67,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_47,refute_4_66]) ).

cnf(refute_4_68,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_4_23]) ).

cnf(refute_4_69,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_4_70,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_4_68,refute_4_69]) ).

cnf(refute_4_71,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_4_72,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_70,refute_4_71]) ).

cnf(refute_4_73,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_4_67,refute_4_72]) ).

cnf(refute_4_74,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_4_25]) ).

cnf(refute_4_75,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_4_27]) ).

cnf(refute_4_76,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_4_77,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_76]) ).

cnf(refute_4_78,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_4_77,refute_4_75]) ).

cnf(refute_4_79,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_4_74,refute_4_78]) ).

cnf(refute_4_80,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_4_28]) ).

cnf(refute_4_81,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_4_82,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_64,refute_4_81]) ).

cnf(refute_4_83,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_4_82,refute_4_80]) ).

cnf(refute_4_84,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_4_85,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_4_84,refute_4_83]) ).

cnf(refute_4_86,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_4_79,refute_4_85]) ).

cnf(refute_4_87,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_4_29]) ).

cnf(refute_4_88,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_4_89,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_88]) ).

cnf(refute_4_90,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_89,refute_4_87]) ).

cnf(refute_4_91,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_4_92,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_91,refute_4_90]) ).

cnf(refute_4_93,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_86,refute_4_92]) ).

cnf(refute_4_94,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_4_95,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_93,refute_4_94]) ).

cnf(refute_4_96,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_4_73,refute_4_95]) ).

cnf(refute_4_97,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_4_31]) ).

cnf(refute_4_98,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_4_96,refute_4_97]) ).

cnf(refute_4_99,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_4_32]) ).

cnf(refute_4_100,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_4_101,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_100,refute_4_99]) ).

cnf(refute_4_102,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_98,refute_4_101]) ).

cnf(refute_4_103,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_4_33]) ).

cnf(refute_4_104,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_4_105,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_70,refute_4_104]) ).

cnf(refute_4_106,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_4_105,refute_4_103]) ).

cnf(refute_4_107,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_4_102,refute_4_106]) ).

cnf(refute_4_108,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0],$fot(e21)]]) ).

cnf(refute_4_109,plain,
    ( op2(e22,e21) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_4_107,refute_4_108]) ).

cnf(refute_4_110,plain,
    ( e21 = e22
    | op2(e22,e20) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_4_46,refute_4_109]) ).

cnf(refute_4_111,plain,
    h3(e11) = op2(e22,e22),
    inference(canonicalize,[],[normalize_4_34]) ).

cnf(refute_4_112,plain,
    ( h3(e11) != op2(e22,e22)
    | op2(e22,e22) = h3(e11) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_4_113,plain,
    op2(e22,e22) = h3(e11),
    inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_4_111,refute_4_112]) ).

cnf(refute_4_114,plain,
    ( op2(e22,e22) != e22
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).

cnf(refute_4_115,plain,
    ( op2(e22,e22) != e22
    | h3(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_113,refute_4_114]) ).

cnf(refute_4_116,plain,
    ( e21 = e22
    | h3(e11) = e22
    | op2(e22,e20) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_110,refute_4_115]) ).

cnf(refute_4_117,plain,
    ( h3(e11) = e22
    | op2(e22,e20) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_116,refute_4_99]) ).

cnf(refute_4_118,plain,
    op2(e22,e22) != e22,
    inference(canonicalize,[],[normalize_4_35]) ).

cnf(refute_4_119,plain,
    ( h3(e11) != e22
    | op2(e22,e22) != h3(e11)
    | op2(e22,e22) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e22)]]) ).

cnf(refute_4_120,plain,
    ( h3(e11) != e22
    | op2(e22,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_113,refute_4_119]) ).

cnf(refute_4_121,plain,
    h3(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_120,refute_4_118]) ).

cnf(refute_4_122,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_4_117,refute_4_121]) ).

cnf(refute_4_123,plain,
    h3(e10) = op2(e22,op2(e22,e22)),
    inference(canonicalize,[],[normalize_4_36]) ).

cnf(refute_4_124,plain,
    op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).

cnf(refute_4_125,plain,
    ( op2(e22,e22) != h3(e11)
    | op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
    | op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).

cnf(refute_4_126,plain,
    ( op2(e22,e22) != h3(e11)
    | op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_4_124,refute_4_125]) ).

cnf(refute_4_127,plain,
    op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_113,refute_4_126]) ).

cnf(refute_4_128,plain,
    ( h3(e10) != op2(e22,op2(e22,e22))
    | op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
    | h3(e10) = op2(e22,h3(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,h3(e11))) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).

cnf(refute_4_129,plain,
    ( h3(e10) != op2(e22,op2(e22,e22))
    | h3(e10) = op2(e22,h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_4_127,refute_4_128]) ).

cnf(refute_4_130,plain,
    h3(e10) = op2(e22,h3(e11)),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_4_123,refute_4_129]) ).

cnf(refute_4_131,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_4_37]) ).

cnf(refute_4_132,plain,
    ( op2(e20,e22) != h3(e11)
    | op2(e22,e22) != h3(e11)
    | op2(e20,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).

cnf(refute_4_133,plain,
    ( op2(e20,e22) != h3(e11)
    | op2(e20,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_113,refute_4_132]) ).

cnf(refute_4_134,plain,
    op2(e20,e22) != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_4_133,refute_4_131]) ).

cnf(refute_4_135,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(canonicalize,[],[normalize_4_38]) ).

cnf(refute_4_136,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_4_137,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_70,refute_4_136]) ).

cnf(refute_4_138,plain,
    ( h2(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_137,refute_4_135]) ).

cnf(refute_4_139,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_4_39]) ).

cnf(refute_4_140,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_4_141,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_64,refute_4_140]) ).

cnf(refute_4_142,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_139,refute_4_141]) ).

cnf(refute_4_143,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_4_144,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_70,refute_4_143]) ).

cnf(refute_4_145,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_142,refute_4_144]) ).

cnf(refute_4_146,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_4_147,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_4_107,refute_4_146]) ).

cnf(refute_4_148,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_4_145,refute_4_147]) ).

cnf(refute_4_149,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_4_150,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_93,refute_4_149]) ).

cnf(refute_4_151,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_148,refute_4_150]) ).

cnf(refute_4_152,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_4_40]) ).

cnf(refute_4_153,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_151,refute_4_152]) ).

cnf(refute_4_154,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_4_41]) ).

cnf(refute_4_155,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_153,refute_4_154]) ).

cnf(refute_4_156,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_4_42]) ).

cnf(refute_4_157,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_155,refute_4_156]) ).

cnf(refute_4_158,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_4_159,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_157,refute_4_158]) ).

cnf(refute_4_160,plain,
    ( e23 != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_159,refute_4_138]) ).

cnf(refute_4_161,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_4_162,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_161,refute_4_160]) ).

cnf(refute_4_163,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(canonicalize,[],[normalize_4_43]) ).

cnf(refute_4_164,plain,
    ( h1(e11) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_163,refute_4_39]) ).

cnf(refute_4_165,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(e22)]]) ).

cnf(refute_4_166,plain,
    ( op2(e20,e21) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_64,refute_4_165]) ).

cnf(refute_4_167,plain,
    ( e22 = e20
    | h1(e11) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_4_164,refute_4_166]) ).

cnf(refute_4_168,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_4_44]) ).

cnf(refute_4_169,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_4_170,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_169,refute_4_168]) ).

cnf(refute_4_171,plain,
    ( h1(e11) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_4_167,refute_4_170]) ).

cnf(refute_4_172,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_171,refute_4_44]) ).

cnf(refute_4_173,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | op2(e20,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_4_174,plain,
    ( e20 != e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_4_172,refute_4_173]) ).

cnf(refute_4_175,plain,
    ( e20 != e20
    | op2(e20,e22) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_4_174,refute_4_162]) ).

cnf(refute_4_176,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_4_177,plain,
    op2(e20,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_176,refute_4_175]) ).

cnf(refute_4_178,plain,
    ( e20 != h3(e11)
    | op2(e20,e22) != e20
    | op2(e20,e22) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[1],$fot(h3(e11))]]) ).

cnf(refute_4_179,plain,
    ( e20 != h3(e11)
    | op2(e20,e22) = h3(e11) ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_177,refute_4_178]) ).

cnf(refute_4_180,plain,
    e20 != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_4_179,refute_4_134]) ).

cnf(refute_4_181,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(canonicalize,[],[normalize_4_45]) ).

cnf(refute_4_182,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).

cnf(refute_4_183,plain,
    ( op2(e22,e22) != e20
    | h3(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_113,refute_4_182]) ).

cnf(refute_4_184,plain,
    ( h3(e11) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_4_181,refute_4_183]) ).

cnf(refute_4_185,plain,
    ( op2(e22,e22) != e21
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).

cnf(refute_4_186,plain,
    ( op2(e22,e22) != e21
    | h3(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_113,refute_4_185]) ).

cnf(refute_4_187,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_4_184,refute_4_186]) ).

cnf(refute_4_188,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_187,refute_4_115]) ).

cnf(refute_4_189,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e11))]]) ).

cnf(refute_4_190,plain,
    ( op2(e22,e22) != e23
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_113,refute_4_189]) ).

cnf(refute_4_191,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e22
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_188,refute_4_190]) ).

cnf(refute_4_192,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_4_191,refute_4_121]) ).

cnf(refute_4_193,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(canonicalize,[],[normalize_4_46]) ).

cnf(refute_4_194,plain,
    ( op2(e22,e21) != h3(e11)
    | op2(e22,e22) != h3(e11)
    | op2(e22,e21) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).

cnf(refute_4_195,plain,
    ( op2(e22,e21) != h3(e11)
    | op2(e22,e21) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_113,refute_4_194]) ).

cnf(refute_4_196,plain,
    op2(e22,e21) != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_4_195,refute_4_193]) ).

cnf(refute_4_197,plain,
    ( e21 != h3(e11)
    | op2(e22,e21) != e21
    | op2(e22,e21) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[1],$fot(h3(e11))]]) ).

cnf(refute_4_198,plain,
    ( e21 != h3(e11)
    | op2(e22,e21) = h3(e11) ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_4_107,refute_4_197]) ).

cnf(refute_4_199,plain,
    e21 != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_4_198,refute_4_196]) ).

cnf(refute_4_200,plain,
    ( h3(e11) != e21
    | e21 = h3(e11) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(e21))]]) ).

cnf(refute_4_201,plain,
    h3(e11) != e21,
    inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_4_200,refute_4_199]) ).

cnf(refute_4_202,plain,
    ( h3(e11) = e20
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_4_192,refute_4_201]) ).

cnf(refute_4_203,plain,
    ( e20 != e20
    | h3(e11) != e20
    | e20 = h3(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,h3(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_4_204,plain,
    ( e20 != e20
    | e20 = h3(e11)
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_4_202,refute_4_203]) ).

cnf(refute_4_205,plain,
    ( e20 != e20
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,h3(e11)) )],[refute_4_204,refute_4_180]) ).

cnf(refute_4_206,plain,
    h3(e11) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_176,refute_4_205]) ).

cnf(refute_4_207,plain,
    op2(e22,h3(e11)) = op2(e22,h3(e11)),
    introduced(tautology,[refl,[$fot(op2(e22,h3(e11)))]]) ).

cnf(refute_4_208,plain,
    ( h3(e11) != e23
    | op2(e22,h3(e11)) != op2(e22,h3(e11))
    | op2(e22,h3(e11)) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) ),[1,1],$fot(e23)]]) ).

cnf(refute_4_209,plain,
    ( h3(e11) != e23
    | op2(e22,h3(e11)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) )],[refute_4_207,refute_4_208]) ).

cnf(refute_4_210,plain,
    op2(e22,h3(e11)) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_4_206,refute_4_209]) ).

cnf(refute_4_211,plain,
    ( h3(e10) != op2(e22,h3(e11))
    | op2(e22,h3(e11)) != op2(e22,e23)
    | h3(e10) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,e23)) ),[0],$fot(op2(e22,h3(e11)))]]) ).

cnf(refute_4_212,plain,
    ( h3(e10) != op2(e22,h3(e11))
    | h3(e10) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,e23)) )],[refute_4_210,refute_4_211]) ).

cnf(refute_4_213,plain,
    h3(e10) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_4_130,refute_4_212]) ).

cnf(refute_4_214,plain,
    h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
    inference(canonicalize,[],[normalize_4_47]) ).

cnf(refute_4_215,plain,
    op2(h2(e10),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e10),op2(e21,e21)))]]) ).

cnf(refute_4_216,plain,
    ( op2(e21,e21) != h2(e11)
    | op2(h2(e10),op2(e21,e21)) != op2(h2(e10),op2(e21,e21))
    | op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).

cnf(refute_4_217,plain,
    ( op2(e21,e21) != h2(e11)
    | op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) )],[refute_4_215,refute_4_216]) ).

cnf(refute_4_218,plain,
    op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e11)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_70,refute_4_217]) ).

cnf(refute_4_219,plain,
    h2(e10) = op2(e21,op2(e21,e21)),
    inference(canonicalize,[],[normalize_4_48]) ).

cnf(refute_4_220,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) = h2(e10) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,op2(e21,e21))))]]) ).

cnf(refute_4_221,plain,
    op2(e21,op2(e21,e21)) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_4_219,refute_4_220]) ).

cnf(refute_4_222,plain,
    op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,op2(e21,e21)),op2(e21,e21)))]]) ).

cnf(refute_4_223,plain,
    ( op2(e21,op2(e21,e21)) != h2(e10)
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) != op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(op2(e21,op2(e21,e21)),op2(e21,e21))) ),[1,0],$fot(h2(e10))]]) ).

cnf(refute_4_224,plain,
    ( op2(e21,op2(e21,e21)) != h2(e10)
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(op2(e21,op2(e21,e21)),op2(e21,e21))) )],[refute_4_222,refute_4_223]) ).

cnf(refute_4_225,plain,
    op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),h2(e10)) )],[refute_4_221,refute_4_224]) ).

cnf(refute_4_226,plain,
    ( op2(h2(e10),op2(e21,e21)) != op2(h2(e10),h2(e11))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) != op2(h2(e10),op2(e21,e21))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    inference(subst,[],[refute_4_27:[bind(X,$fot(op2(op2(e21,op2(e21,e21)),op2(e21,e21)))),bind(Y,$fot(op2(h2(e10),op2(e21,e21)))),bind(Z,$fot(op2(h2(e10),h2(e11))))]]) ).

cnf(refute_4_227,plain,
    ( op2(h2(e10),op2(e21,e21)) != op2(h2(e10),h2(e11))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) )],[refute_4_225,refute_4_226]) ).

cnf(refute_4_228,plain,
    op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),h2(e11)),
    inference(resolve,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),h2(e11))) )],[refute_4_218,refute_4_227]) ).

cnf(refute_4_229,plain,
    ( h2(e12) != op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) != op2(h2(e10),h2(e11))
    | h2(e12) = op2(h2(e10),h2(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(h2(e10),h2(e11))) ),[0],$fot(op2(op2(e21,op2(e21,e21)),op2(e21,e21)))]]) ).

cnf(refute_4_230,plain,
    ( h2(e12) != op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    | h2(e12) = op2(h2(e10),h2(e11)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(h2(e10),h2(e11))) )],[refute_4_228,refute_4_229]) ).

cnf(refute_4_231,plain,
    h2(e12) = op2(h2(e10),h2(e11)),
    inference(resolve,[$cnf( $equal(h2(e12),op2(op2(e21,op2(e21,e21)),op2(e21,e21))) )],[refute_4_214,refute_4_230]) ).

cnf(refute_4_232,plain,
    op2(h2(e10),h2(e11)) = op2(h2(e10),h2(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e10),h2(e11)))]]) ).

cnf(refute_4_233,plain,
    ( h2(e11) != e23
    | op2(h2(e10),h2(e11)) != op2(h2(e10),h2(e11))
    | op2(h2(e10),h2(e11)) = op2(h2(e10),e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),h2(e11)),op2(h2(e10),h2(e11))) ),[1,1],$fot(e23)]]) ).

cnf(refute_4_234,plain,
    ( h2(e11) != e23
    | op2(h2(e10),h2(e11)) = op2(h2(e10),e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),h2(e11)),op2(h2(e10),h2(e11))) )],[refute_4_232,refute_4_233]) ).

cnf(refute_4_235,plain,
    op2(h2(e10),h2(e11)) = op2(h2(e10),e23),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_157,refute_4_234]) ).

cnf(refute_4_236,plain,
    ( h2(e12) != op2(h2(e10),h2(e11))
    | op2(h2(e10),h2(e11)) != op2(h2(e10),e23)
    | h2(e12) = op2(h2(e10),e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(h2(e10),e23)) ),[0],$fot(op2(h2(e10),h2(e11)))]]) ).

cnf(refute_4_237,plain,
    ( h2(e12) != op2(h2(e10),h2(e11))
    | h2(e12) = op2(h2(e10),e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),h2(e11)),op2(h2(e10),e23)) )],[refute_4_235,refute_4_236]) ).

cnf(refute_4_238,plain,
    h2(e12) = op2(h2(e10),e23),
    inference(resolve,[$cnf( $equal(h2(e12),op2(h2(e10),h2(e11))) )],[refute_4_231,refute_4_237]) ).

cnf(refute_4_239,plain,
    ( h3(e10) != op2(e22,e23)
    | op2(e22,e23) = h3(e10) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e23)))]]) ).

cnf(refute_4_240,plain,
    op2(e22,e23) = h3(e10),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_4_213,refute_4_239]) ).

cnf(refute_4_241,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    inference(canonicalize,[],[normalize_4_49]) ).

cnf(refute_4_242,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e23) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e21)]]) ).

cnf(refute_4_243,plain,
    ( op2(e23,e23) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_242]) ).

cnf(refute_4_244,plain,
    ( e21 = e22
    | op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_241,refute_4_243]) ).

cnf(refute_4_245,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_244,refute_4_99]) ).

cnf(refute_4_246,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(canonicalize,[],[normalize_4_50]) ).

cnf(refute_4_247,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_4_248,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_64,refute_4_247]) ).

cnf(refute_4_249,plain,
    e22 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_4_248,refute_4_246]) ).

cnf(refute_4_250,plain,
    ( op2(e20,e23) != e22
    | e22 = op2(e20,e23) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_4_251,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_4_250,refute_4_249]) ).

cnf(refute_4_252,plain,
    ( op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_245,refute_4_251]) ).

cnf(refute_4_253,plain,
    op2(e21,e21) = e23,
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_157,refute_4_137]) ).

cnf(refute_4_254,plain,
    op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).

cnf(refute_4_255,plain,
    ( op2(e21,e21) != e23
    | op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(e23)]]) ).

cnf(refute_4_256,plain,
    ( op2(e21,e21) != e23
    | op2(e21,op2(e21,e21)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_4_254,refute_4_255]) ).

cnf(refute_4_257,plain,
    op2(e21,op2(e21,e21)) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_253,refute_4_256]) ).

cnf(refute_4_258,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) != op2(e21,e23)
    | h2(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,e23)) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).

cnf(refute_4_259,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | h2(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,e23)) )],[refute_4_257,refute_4_258]) ).

cnf(refute_4_260,plain,
    h2(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_4_219,refute_4_259]) ).

cnf(refute_4_261,plain,
    ( h2(e10) != op2(e21,e23)
    | op2(e21,e23) = h2(e10) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_4_262,plain,
    op2(e21,e23) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e23)) )],[refute_4_260,refute_4_261]) ).

cnf(refute_4_263,plain,
    ( op2(e21,e23) != e22
    | op2(e21,e23) != h2(e10)
    | h2(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h2(e10))]]) ).

cnf(refute_4_264,plain,
    ( op2(e21,e23) != e22
    | h2(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e10)) )],[refute_4_262,refute_4_263]) ).

cnf(refute_4_265,plain,
    ( h2(e10) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_4_252,refute_4_264]) ).

cnf(refute_4_266,plain,
    ( op2(e22,e23) != e22
    | op2(e22,e23) != h3(e10)
    | h3(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0],$fot(h3(e10))]]) ).

cnf(refute_4_267,plain,
    ( op2(e22,e23) != e22
    | h3(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_4_240,refute_4_266]) ).

cnf(refute_4_268,plain,
    ( h2(e10) = e22
    | h3(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_4_265,refute_4_267]) ).

cnf(refute_4_269,plain,
    ( op2(e21,e21) != e23
    | op2(e22,e23) != e22 ),
    inference(canonicalize,[],[normalize_4_51]) ).

cnf(refute_4_270,plain,
    ( h2(e11) != e23
    | op2(e22,e23) != e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_137,refute_4_269]) ).

cnf(refute_4_271,plain,
    ( h3(e10) != e22
    | op2(e22,e23) != h3(e10)
    | op2(e22,e23) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),h3(e10)) ),[1],$fot(e22)]]) ).

cnf(refute_4_272,plain,
    ( h3(e10) != e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_4_240,refute_4_271]) ).

cnf(refute_4_273,plain,
    ( h2(e11) != e23
    | h3(e10) != e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_4_272,refute_4_270]) ).

cnf(refute_4_274,plain,
    ( e23 != e23
    | h3(e10) != e22 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_159,refute_4_273]) ).

cnf(refute_4_275,plain,
    h3(e10) != e22,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_161,refute_4_274]) ).

cnf(refute_4_276,plain,
    h2(e10) = e22,
    inference(resolve,[$cnf( $equal(h3(e10),e22) )],[refute_4_268,refute_4_275]) ).

cnf(refute_4_277,plain,
    op2(h2(e10),e23) = op2(h2(e10),e23),
    introduced(tautology,[refl,[$fot(op2(h2(e10),e23))]]) ).

cnf(refute_4_278,plain,
    ( h2(e10) != e22
    | op2(h2(e10),e23) != op2(h2(e10),e23)
    | op2(h2(e10),e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),e23),op2(h2(e10),e23)) ),[1,0],$fot(e22)]]) ).

cnf(refute_4_279,plain,
    ( h2(e10) != e22
    | op2(h2(e10),e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),e23),op2(h2(e10),e23)) )],[refute_4_277,refute_4_278]) ).

cnf(refute_4_280,plain,
    op2(h2(e10),e23) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_4_276,refute_4_279]) ).

cnf(refute_4_281,plain,
    ( op2(e22,e23) != h3(e10)
    | op2(h2(e10),e23) != op2(e22,e23)
    | op2(h2(e10),e23) = h3(e10) ),
    inference(subst,[],[refute_4_27:[bind(X,$fot(op2(h2(e10),e23))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(h3(e10)))]]) ).

cnf(refute_4_282,plain,
    ( op2(e22,e23) != h3(e10)
    | op2(h2(e10),e23) = h3(e10) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),e23),op2(e22,e23)) )],[refute_4_280,refute_4_281]) ).

cnf(refute_4_283,plain,
    op2(h2(e10),e23) = h3(e10),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_4_240,refute_4_282]) ).

cnf(refute_4_284,plain,
    ( h2(e12) != op2(h2(e10),e23)
    | op2(h2(e10),e23) != h3(e10)
    | h2(e12) = h3(e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),h3(e10)) ),[0],$fot(op2(h2(e10),e23))]]) ).

cnf(refute_4_285,plain,
    ( h2(e12) != op2(h2(e10),e23)
    | h2(e12) = h3(e10) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),e23),h3(e10)) )],[refute_4_283,refute_4_284]) ).

cnf(refute_4_286,plain,
    h2(e12) = h3(e10),
    inference(resolve,[$cnf( $equal(h2(e12),op2(h2(e10),e23)) )],[refute_4_238,refute_4_285]) ).

cnf(refute_4_287,plain,
    ( h2(e12) != h3(e10)
    | h3(e10) = h2(e12) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e12))),bind(Y,$fot(h3(e10)))]]) ).

cnf(refute_4_288,plain,
    h3(e10) = h2(e12),
    inference(resolve,[$cnf( $equal(h2(e12),h3(e10)) )],[refute_4_286,refute_4_287]) ).

cnf(refute_4_289,plain,
    ( h3(e10) != h2(e12)
    | h3(e10) != op2(e22,e23)
    | h2(e12) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,e23)) ),[0],$fot(h2(e12))]]) ).

cnf(refute_4_290,plain,
    ( h3(e10) != op2(e22,e23)
    | h2(e12) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(h3(e10),h2(e12)) )],[refute_4_288,refute_4_289]) ).

cnf(refute_4_291,plain,
    h2(e12) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_4_213,refute_4_290]) ).

cnf(refute_4_292,plain,
    ( h2(e12) != op2(e22,e23)
    | op2(e22,e23) = h2(e12) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e22,e23)))]]) ).

cnf(refute_4_293,plain,
    op2(e22,e23) = h2(e12),
    inference(resolve,[$cnf( $equal(h2(e12),op2(e22,e23)) )],[refute_4_291,refute_4_292]) ).

cnf(refute_4_294,plain,
    ( op2(e22,e23) != e22
    | op2(e22,e23) != h2(e12)
    | h2(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0],$fot(h2(e12))]]) ).

cnf(refute_4_295,plain,
    ( op2(e22,e23) != e22
    | h2(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h2(e12)) )],[refute_4_293,refute_4_294]) ).

cnf(refute_4_296,plain,
    ( h2(e12) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_4_122,refute_4_295]) ).

cnf(refute_4_297,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(canonicalize,[],[normalize_4_52]) ).

cnf(refute_4_298,plain,
    ( h2(e10) != op2(e22,e23)
    | op2(e21,e23) != h2(e10)
    | op2(e21,e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h2(e10)) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_4_299,plain,
    ( h2(e10) != op2(e22,e23)
    | op2(e21,e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e10)) )],[refute_4_262,refute_4_298]) ).

cnf(refute_4_300,plain,
    h2(e10) != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_4_299,refute_4_297]) ).

cnf(refute_4_301,plain,
    ( h2(e10) != h3(e10)
    | op2(e22,e23) != h3(e10)
    | h2(e10) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e22,e23)) ),[1],$fot(h3(e10))]]) ).

cnf(refute_4_302,plain,
    ( h2(e10) != h3(e10)
    | h2(e10) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_4_240,refute_4_301]) ).

cnf(refute_4_303,plain,
    h2(e10) != h3(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e23)) )],[refute_4_302,refute_4_300]) ).

cnf(refute_4_304,plain,
    ( e22 != h3(e10)
    | h2(e10) != e22
    | h2(e10) = h3(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e10),e22) ),[1],$fot(h3(e10))]]) ).

cnf(refute_4_305,plain,
    ( e22 != h3(e10)
    | h2(e10) = h3(e10) ),
    inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_4_276,refute_4_304]) ).

cnf(refute_4_306,plain,
    ( e22 != h2(e12)
    | h3(e10) != h2(e12)
    | e22 = h3(e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,h3(e10)) ),[1],$fot(h2(e12))]]) ).

cnf(refute_4_307,plain,
    ( e22 != h2(e12)
    | e22 = h3(e10) ),
    inference(resolve,[$cnf( $equal(h3(e10),h2(e12)) )],[refute_4_288,refute_4_306]) ).

cnf(refute_4_308,plain,
    ( e22 != h2(e12)
    | h2(e10) = h3(e10) ),
    inference(resolve,[$cnf( $equal(e22,h3(e10)) )],[refute_4_307,refute_4_305]) ).

cnf(refute_4_309,plain,
    e22 != h2(e12),
    inference(resolve,[$cnf( $equal(h2(e10),h3(e10)) )],[refute_4_308,refute_4_303]) ).

cnf(refute_4_310,plain,
    ( h2(e12) != e22
    | e22 = h2(e12) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e12))),bind(Y,$fot(e22))]]) ).

cnf(refute_4_311,plain,
    h2(e12) != e22,
    inference(resolve,[$cnf( $equal(e22,h2(e12)) )],[refute_4_310,refute_4_309]) ).

cnf(refute_4_312,plain,
    op2(e22,e20) = e22,
    inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_4_296,refute_4_311]) ).

cnf(refute_4_313,plain,
    ( op2(e22,e20) != e20
    | op2(e22,e20) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(e22)]]) ).

cnf(refute_4_314,plain,
    ( op2(e22,e20) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_4_312,refute_4_313]) ).

cnf(refute_4_315,plain,
    ( e22 = e20
    | op2(e21,e20) = e20
    | op2(e23,e20) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_4_45,refute_4_314]) ).

cnf(refute_4_316,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    inference(canonicalize,[],[normalize_4_53]) ).

cnf(refute_4_317,plain,
    ( e20 = e23
    | op2(e23,e20) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_316,refute_4_150]) ).

cnf(refute_4_318,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e23) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).

cnf(refute_4_319,plain,
    ( op2(e23,e23) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_318]) ).

cnf(refute_4_320,plain,
    ( e20 = e23
    | e21 = e23
    | op2(e23,e20) = e23
    | op2(e23,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_317,refute_4_319]) ).

cnf(refute_4_321,plain,
    ( e21 = e23
    | op2(e23,e20) = e23
    | op2(e23,e22) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_320,refute_4_152]) ).

cnf(refute_4_322,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e22) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_321,refute_4_154]) ).

cnf(refute_4_323,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(canonicalize,[],[normalize_4_54]) ).

cnf(refute_4_324,plain,
    ( h3(e11) = e22
    | op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_323,refute_4_115]) ).

cnf(refute_4_325,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_4_324,refute_4_121]) ).

cnf(refute_4_326,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(canonicalize,[],[normalize_4_55]) ).

cnf(refute_4_327,plain,
    ( e22 != op2(e20,e22)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_4_328,plain,
    ( e22 != op2(e20,e22)
    | op2(e20,e21) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_64,refute_4_327]) ).

cnf(refute_4_329,plain,
    e22 != op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_4_328,refute_4_326]) ).

cnf(refute_4_330,plain,
    ( op2(e20,e22) != e22
    | e22 = op2(e20,e22) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).

cnf(refute_4_331,plain,
    op2(e20,e22) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_4_330,refute_4_329]) ).

cnf(refute_4_332,plain,
    ( op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_325,refute_4_331]) ).

cnf(refute_4_333,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(canonicalize,[],[normalize_4_56]) ).

cnf(refute_4_334,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != e23
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(e23)]]) ).

cnf(refute_4_335,plain,
    ( op2(e21,e21) != e21
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_253,refute_4_334]) ).

cnf(refute_4_336,plain,
    ( e23 = e21
    | op2(e21,e20) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_4_333,refute_4_335]) ).

cnf(refute_4_337,plain,
    ( e23 != e21
    | e21 = e23 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).

cnf(refute_4_338,plain,
    e23 != e21,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_337,refute_4_154]) ).

cnf(refute_4_339,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_336,refute_4_338]) ).

cnf(refute_4_340,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_4_57]) ).

cnf(refute_4_341,plain,
    ( op2(e21,e23) != e21
    | op2(e23,e23) != e21
    | op2(e21,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_4_342,plain,
    ( op2(e21,e23) != e21
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_341]) ).

cnf(refute_4_343,plain,
    op2(e21,e23) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_4_342,refute_4_340]) ).

cnf(refute_4_344,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e22) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_4_339,refute_4_343]) ).

cnf(refute_4_345,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(canonicalize,[],[normalize_4_58]) ).

cnf(refute_4_346,plain,
    ( h1(e11) != op2(e21,e20)
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_4_347,plain,
    ( h1(e11) != op2(e21,e20)
    | op2(e20,e20) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_37,refute_4_346]) ).

cnf(refute_4_348,plain,
    h1(e11) != op2(e21,e20),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_4_347,refute_4_345]) ).

cnf(refute_4_349,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(canonicalize,[],[normalize_4_59]) ).

cnf(refute_4_350,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).

cnf(refute_4_351,plain,
    ( op2(e20,e20) != e21
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_37,refute_4_350]) ).

cnf(refute_4_352,plain,
    ( h1(e11) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_4_349,refute_4_351]) ).

cnf(refute_4_353,plain,
    ( e22 = e21
    | h1(e11) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_352,refute_4_66]) ).

cnf(refute_4_354,plain,
    ( h1(e11) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_353,refute_4_101]) ).

cnf(refute_4_355,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_4_60]) ).

cnf(refute_4_356,plain,
    ( op2(e20,e23) != e21
    | op2(e23,e23) != e21
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_4_357,plain,
    ( op2(e20,e23) != e21
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_356]) ).

cnf(refute_4_358,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_4_357,refute_4_355]) ).

cnf(refute_4_359,plain,
    ( h1(e11) = e21
    | op2(e20,e22) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_4_354,refute_4_358]) ).

cnf(refute_4_360,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[0],$fot(e20)]]) ).

cnf(refute_4_361,plain,
    ( op2(e20,e22) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_177,refute_4_360]) ).

cnf(refute_4_362,plain,
    ( e20 = e21
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_359,refute_4_361]) ).

cnf(refute_4_363,plain,
    h1(e11) = e21,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_4_362,refute_4_97]) ).

cnf(refute_4_364,plain,
    ( e21 != op2(e21,e20)
    | h1(e11) != e21
    | h1(e11) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_4_365,plain,
    ( e21 != op2(e21,e20)
    | h1(e11) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_363,refute_4_364]) ).

cnf(refute_4_366,plain,
    e21 != op2(e21,e20),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_4_365,refute_4_348]) ).

cnf(refute_4_367,plain,
    ( op2(e21,e20) != e21
    | e21 = op2(e21,e20) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(op2(e21,e20))),bind(Y,$fot(e21))]]) ).

cnf(refute_4_368,plain,
    op2(e21,e20) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_4_367,refute_4_366]) ).

cnf(refute_4_369,plain,
    op2(e21,e22) = e21,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_344,refute_4_368]) ).

cnf(refute_4_370,plain,
    ( op2(e21,e22) != e21
    | op2(e21,e22) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).

cnf(refute_4_371,plain,
    ( op2(e21,e22) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_369,refute_4_370]) ).

cnf(refute_4_372,plain,
    ( e21 = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_332,refute_4_371]) ).

cnf(refute_4_373,plain,
    op2(e23,e22) = e22,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_372,refute_4_99]) ).

cnf(refute_4_374,plain,
    ( op2(e23,e22) != e22
    | op2(e23,e22) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e23) ),[0],$fot(e22)]]) ).

cnf(refute_4_375,plain,
    ( op2(e23,e22) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_4_373,refute_4_374]) ).

cnf(refute_4_376,plain,
    ( e22 = e23
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_4_322,refute_4_375]) ).

cnf(refute_4_377,plain,
    op2(e23,e20) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_376,refute_4_156]) ).

cnf(refute_4_378,plain,
    ( op2(e23,e20) != e20
    | op2(e23,e20) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e20) ),[0],$fot(e23)]]) ).

cnf(refute_4_379,plain,
    ( op2(e23,e20) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_377,refute_4_378]) ).

cnf(refute_4_380,plain,
    ( e22 = e20
    | e23 = e20
    | op2(e21,e20) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_4_315,refute_4_379]) ).

cnf(refute_4_381,plain,
    ( e23 = e20
    | op2(e21,e20) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_4_380,refute_4_170]) ).

cnf(refute_4_382,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_4_383,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_382,refute_4_152]) ).

cnf(refute_4_384,plain,
    op2(e21,e20) = e20,
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_381,refute_4_383]) ).

cnf(refute_4_385,plain,
    ( h4(op1(e11,e10)) != e20
    | op2(e21,e20) != e20
    | h4(op1(e11,e10)) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[1],$fot(e20)]]) ).

cnf(refute_4_386,plain,
    ( h4(op1(e11,e10)) != e20
    | h4(op1(e11,e10)) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_4_384,refute_4_385]) ).

cnf(refute_4_387,plain,
    h4(op1(e11,e10)) != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_4_386,refute_4_33]) ).

cnf(refute_4_388,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(canonicalize,[],[normalize_4_62]) ).

cnf(refute_4_389,plain,
    op1(e10,e10) != e10,
    inference(canonicalize,[],[normalize_4_64]) ).

cnf(refute_4_390,plain,
    ( op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_388,refute_4_389]) ).

cnf(refute_4_391,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference(canonicalize,[],[normalize_4_65]) ).

cnf(refute_4_392,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_4_66]) ).

cnf(refute_4_393,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_4_68]) ).

cnf(refute_4_394,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_4_69]) ).

cnf(refute_4_395,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_4_396,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_4_394,refute_4_395]) ).

cnf(refute_4_397,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_4_398,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_4_399,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_4_397,refute_4_398]) ).

cnf(refute_4_400,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_396,refute_4_399]) ).

cnf(refute_4_401,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_4_70]) ).

cnf(refute_4_402,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_4_403,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_4_401,refute_4_402]) ).

cnf(refute_4_404,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_4_405,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_4_406,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_4_404,refute_4_405]) ).

cnf(refute_4_407,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_4_403,refute_4_406]) ).

cnf(refute_4_408,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_4_27:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_4_409,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_4_407,refute_4_408]) ).

cnf(refute_4_410,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_4_400,refute_4_409]) ).

cnf(refute_4_411,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_4_412,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_4_410,refute_4_411]) ).

cnf(refute_4_413,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_4_393,refute_4_412]) ).

cnf(refute_4_414,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_4_415,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_4_413,refute_4_414]) ).

cnf(refute_4_416,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_4_417,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_4_415,refute_4_416]) ).

cnf(refute_4_418,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_4_392,refute_4_417]) ).

cnf(refute_4_419,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_4_72]) ).

cnf(refute_4_420,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_4_74]) ).

cnf(refute_4_421,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_4_422,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_396,refute_4_421]) ).

cnf(refute_4_423,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_4_422,refute_4_420]) ).

cnf(refute_4_424,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_4_419,refute_4_423]) ).

cnf(refute_4_425,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_4_75]) ).

cnf(refute_4_426,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_4_427,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_4_415,refute_4_426]) ).

cnf(refute_4_428,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_4_427,refute_4_425]) ).

cnf(refute_4_429,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_4_430,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_4_429,refute_4_428]) ).

cnf(refute_4_431,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_4_424,refute_4_430]) ).

cnf(refute_4_432,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_4_76]) ).

cnf(refute_4_433,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_4_434,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_396,refute_4_433]) ).

cnf(refute_4_435,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_434,refute_4_432]) ).

cnf(refute_4_436,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_4_437,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_4_436,refute_4_435]) ).

cnf(refute_4_438,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_4_431,refute_4_437]) ).

cnf(refute_4_439,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_4_440,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_4_438,refute_4_439]) ).

cnf(refute_4_441,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_4_418,refute_4_440]) ).

cnf(refute_4_442,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_4_78]) ).

cnf(refute_4_443,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_4_441,refute_4_442]) ).

cnf(refute_4_444,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_4_79]) ).

cnf(refute_4_445,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_4_446,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_4_445,refute_4_444]) ).

cnf(refute_4_447,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_4_443,refute_4_446]) ).

cnf(refute_4_448,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_4_80]) ).

cnf(refute_4_449,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_4_447,refute_4_448]) ).

cnf(refute_4_450,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e11)]]) ).

cnf(refute_4_451,plain,
    ( op1(e12,e11) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_4_449,refute_4_450]) ).

cnf(refute_4_452,plain,
    ( e11 = e12
    | op1(e12,e10) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_4_391,refute_4_451]) ).

cnf(refute_4_453,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_4_452,refute_4_444]) ).

cnf(refute_4_454,plain,
    op1(e12,e12) != e12,
    inference(canonicalize,[],[normalize_4_81]) ).

cnf(refute_4_455,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_4_453,refute_4_454]) ).

cnf(refute_4_456,plain,
    ( op1(e11,e11) != e13
    | op1(e12,e13) != e12 ),
    inference(canonicalize,[],[normalize_4_82]) ).

cnf(refute_4_457,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_4_83]) ).

cnf(refute_4_458,plain,
    ( op1(e10,e11) != e12
    | op1(e10,e11) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).

cnf(refute_4_459,plain,
    ( op1(e10,e11) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_4_415,refute_4_458]) ).

cnf(refute_4_460,plain,
    ( e12 = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_457,refute_4_459]) ).

cnf(refute_4_461,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[0],$fot(e11)]]) ).

cnf(refute_4_462,plain,
    ( op1(e12,e11) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_4_449,refute_4_461]) ).

cnf(refute_4_463,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_4_460,refute_4_462]) ).

cnf(refute_4_464,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_4_465,plain,
    ( op1(e13,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_4_438,refute_4_464]) ).

cnf(refute_4_466,plain,
    ( e10 = e13
    | e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_4_463,refute_4_465]) ).

cnf(refute_4_467,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_4_84]) ).

cnf(refute_4_468,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_466,refute_4_467]) ).

cnf(refute_4_469,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_4_85]) ).

cnf(refute_4_470,plain,
    ( e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_468,refute_4_469]) ).

cnf(refute_4_471,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_4_86]) ).

cnf(refute_4_472,plain,
    op1(e11,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_4_470,refute_4_471]) ).

cnf(refute_4_473,plain,
    ( e13 != e13
    | op1(e11,e11) != e13
    | op1(e11,e11) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[1],$fot(e13)]]) ).

cnf(refute_4_474,plain,
    ( e13 != e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_4_472,refute_4_473]) ).

cnf(refute_4_475,plain,
    ( e13 != e13
    | op1(e12,e13) != e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_4_474,refute_4_456]) ).

cnf(refute_4_476,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_4_477,plain,
    op1(e12,e13) != e12,
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_476,refute_4_475]) ).

cnf(refute_4_478,plain,
    op1(e12,e10) = e12,
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_4_455,refute_4_477]) ).

cnf(refute_4_479,plain,
    ( op1(e12,e10) != e10
    | op1(e12,e10) != e12
    | e12 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0],$fot(e12)]]) ).

cnf(refute_4_480,plain,
    ( op1(e12,e10) != e10
    | e12 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_4_478,refute_4_479]) ).

cnf(refute_4_481,plain,
    ( e12 = e10
    | op1(e11,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_4_390,refute_4_480]) ).

cnf(refute_4_482,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    inference(canonicalize,[],[normalize_4_87]) ).

cnf(refute_4_483,plain,
    ( e10 = e13
    | op1(e13,e10) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_4_482,refute_4_465]) ).

cnf(refute_4_484,plain,
    ( op1(e13,e13) != e11
    | op1(e13,e13) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).

cnf(refute_4_485,plain,
    ( op1(e13,e13) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_396,refute_4_484]) ).

cnf(refute_4_486,plain,
    ( e10 = e13
    | e11 = e13
    | op1(e13,e10) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_4_483,refute_4_485]) ).

cnf(refute_4_487,plain,
    ( e11 = e13
    | op1(e13,e10) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_486,refute_4_467]) ).

cnf(refute_4_488,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_487,refute_4_469]) ).

cnf(refute_4_489,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(canonicalize,[],[normalize_4_88]) ).

cnf(refute_4_490,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(canonicalize,[],[normalize_4_89]) ).

cnf(refute_4_491,plain,
    ( e12 != op1(e10,e12)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e10,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e10,e12))]]) ).

cnf(refute_4_492,plain,
    ( e12 != op1(e10,e12)
    | op1(e10,e11) = op1(e10,e12) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_4_415,refute_4_491]) ).

cnf(refute_4_493,plain,
    e12 != op1(e10,e12),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_4_492,refute_4_490]) ).

cnf(refute_4_494,plain,
    ( op1(e10,e12) != e12
    | e12 = op1(e10,e12) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(e12))]]) ).

cnf(refute_4_495,plain,
    op1(e10,e12) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e12)) )],[refute_4_494,refute_4_493]) ).

cnf(refute_4_496,plain,
    ( op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_4_489,refute_4_495]) ).

cnf(refute_4_497,plain,
    ( op1(e11,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_4_496,refute_4_454]) ).

cnf(refute_4_498,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(canonicalize,[],[normalize_4_90]) ).

cnf(refute_4_499,plain,
    ( op1(e11,e11) != e11
    | op1(e11,e11) != e13
    | e13 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e13)]]) ).

cnf(refute_4_500,plain,
    ( op1(e11,e11) != e11
    | e13 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_4_472,refute_4_499]) ).

cnf(refute_4_501,plain,
    ( e13 = e11
    | op1(e11,e10) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_4_498,refute_4_500]) ).

cnf(refute_4_502,plain,
    ( e13 != e11
    | e11 = e13 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).

cnf(refute_4_503,plain,
    e13 != e11,
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_502,refute_4_469]) ).

cnf(refute_4_504,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e13,e11) )],[refute_4_501,refute_4_503]) ).

cnf(refute_4_505,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_4_91]) ).

cnf(refute_4_506,plain,
    ( op1(e11,e13) != e11
    | op1(e13,e13) != e11
    | op1(e11,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_4_507,plain,
    ( op1(e11,e13) != e11
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_396,refute_4_506]) ).

cnf(refute_4_508,plain,
    op1(e11,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_4_507,refute_4_505]) ).

cnf(refute_4_509,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e12) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_4_504,refute_4_508]) ).

cnf(refute_4_510,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(canonicalize,[],[normalize_4_92]) ).

cnf(refute_4_511,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(canonicalize,[],[normalize_4_93]) ).

cnf(refute_4_512,plain,
    op2(e20,h4(e10)) = op2(e20,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).

cnf(refute_4_513,plain,
    ( h4(e10) != e20
    | op2(e20,h4(e10)) != op2(e20,h4(e10))
    | op2(e20,h4(e10)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).

cnf(refute_4_514,plain,
    ( h4(e10) != e20
    | op2(e20,h4(e10)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_4_512,refute_4_513]) ).

cnf(refute_4_515,plain,
    op2(e20,h4(e10)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_10,refute_4_514]) ).

cnf(refute_4_516,plain,
    op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_4_517,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).

cnf(refute_4_518,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_4_516,refute_4_517]) ).

cnf(refute_4_519,plain,
    op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_10,refute_4_518]) ).

cnf(refute_4_520,plain,
    ( op2(e20,h4(e10)) != op2(e20,e20)
    | op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e20,e20) ),
    inference(subst,[],[refute_4_27:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_4_521,plain,
    ( op2(e20,h4(e10)) != op2(e20,e20)
    | op2(h4(e10),h4(e10)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_4_519,refute_4_520]) ).

cnf(refute_4_522,plain,
    op2(h4(e10),h4(e10)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_4_515,refute_4_521]) ).

cnf(refute_4_523,plain,
    ( op2(e20,e20) != h1(e11)
    | op2(h4(e10),h4(e10)) != op2(e20,e20)
    | op2(h4(e10),h4(e10)) = h1(e11) ),
    inference(subst,[],[refute_4_27:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).

cnf(refute_4_524,plain,
    ( op2(e20,e20) != h1(e11)
    | op2(h4(e10),h4(e10)) = h1(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_4_522,refute_4_523]) ).

cnf(refute_4_525,plain,
    op2(h4(e10),h4(e10)) = h1(e11),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_37,refute_4_524]) ).

cnf(refute_4_526,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) != h1(e11)
    | h4(op1(e10,e10)) = h1(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_4_527,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e10)) = h1(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_4_525,refute_4_526]) ).

cnf(refute_4_528,plain,
    h4(op1(e10,e10)) = h1(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_4_511,refute_4_527]) ).

cnf(refute_4_529,plain,
    ( h1(e11) != e21
    | h4(op1(e10,e10)) != h1(e11)
    | h4(op1(e10,e10)) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_4_530,plain,
    ( h4(op1(e10,e10)) != h1(e11)
    | h4(op1(e10,e10)) = e21 ),
    inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_363,refute_4_529]) ).

cnf(refute_4_531,plain,
    h4(op1(e10,e10)) = e21,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_4_528,refute_4_530]) ).

cnf(refute_4_532,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(canonicalize,[],[normalize_4_94]) ).

cnf(refute_4_533,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_532,refute_4_389]) ).

cnf(refute_4_534,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(canonicalize,[],[normalize_4_95]) ).

cnf(refute_4_535,plain,
    ( op1(e10,e10) != e12
    | op1(e10,e11) != e12
    | op1(e10,e10) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e12)]]) ).

cnf(refute_4_536,plain,
    ( op1(e10,e10) != e12
    | op1(e10,e10) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_4_415,refute_4_535]) ).

cnf(refute_4_537,plain,
    op1(e10,e10) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_4_536,refute_4_534]) ).

cnf(refute_4_538,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_4_533,refute_4_537]) ).

cnf(refute_4_539,plain,
    ( h4(op1(e10,e10)) != e21
    | op1(e10,e10) != e13
    | h4(e13) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e21) ),[0,0],$fot(e13)]]) ).

cnf(refute_4_540,plain,
    ( h4(op1(e10,e10)) != e21
    | h4(e13) = e21
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_538,refute_4_539]) ).

cnf(refute_4_541,plain,
    ( h4(e13) = e21
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_4_531,refute_4_540]) ).

cnf(refute_4_542,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_4_96]) ).

cnf(refute_4_543,plain,
    ( h4(e13) != e21
    | h4(e13) != e23
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[0],$fot(e23)]]) ).

cnf(refute_4_544,plain,
    ( h4(e13) != e21
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_4_542,refute_4_543]) ).

cnf(refute_4_545,plain,
    ( e23 = e21
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_541,refute_4_544]) ).

cnf(refute_4_546,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_545,refute_4_338]) ).

cnf(refute_4_547,plain,
    ( e11 != op1(e11,e10)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e11,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e11,e10))]]) ).

cnf(refute_4_548,plain,
    ( e11 != op1(e11,e10)
    | op1(e10,e10) = op1(e11,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_4_546,refute_4_547]) ).

cnf(refute_4_549,plain,
    e11 != op1(e11,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_4_548,refute_4_510]) ).

cnf(refute_4_550,plain,
    ( op1(e11,e10) != e11
    | e11 = op1(e11,e10) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(op1(e11,e10))),bind(Y,$fot(e11))]]) ).

cnf(refute_4_551,plain,
    op1(e11,e10) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e11,e10)) )],[refute_4_550,refute_4_549]) ).

cnf(refute_4_552,plain,
    op1(e11,e12) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_4_509,refute_4_551]) ).

cnf(refute_4_553,plain,
    ( op1(e11,e12) != e11
    | op1(e11,e12) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0],$fot(e11)]]) ).

cnf(refute_4_554,plain,
    ( op1(e11,e12) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_4_552,refute_4_553]) ).

cnf(refute_4_555,plain,
    ( e11 = e12
    | op1(e13,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_4_497,refute_4_554]) ).

cnf(refute_4_556,plain,
    op1(e13,e12) = e12,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_4_555,refute_4_444]) ).

cnf(refute_4_557,plain,
    ( op1(e13,e12) != e12
    | op1(e13,e12) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e13) ),[0],$fot(e12)]]) ).

cnf(refute_4_558,plain,
    ( op1(e13,e12) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_4_556,refute_4_557]) ).

cnf(refute_4_559,plain,
    ( e12 = e13
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_4_488,refute_4_558]) ).

cnf(refute_4_560,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_4_559,refute_4_471]) ).

cnf(refute_4_561,plain,
    ( op1(e13,e10) != e10
    | op1(e13,e10) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e10) ),[0],$fot(e13)]]) ).

cnf(refute_4_562,plain,
    ( op1(e13,e10) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_4_560,refute_4_561]) ).

cnf(refute_4_563,plain,
    ( e12 = e10
    | e13 = e10
    | op1(e11,e10) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_4_481,refute_4_562]) ).

cnf(refute_4_564,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_4_97]) ).

cnf(refute_4_565,plain,
    ( e12 != e10
    | e10 = e12 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).

cnf(refute_4_566,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_4_565,refute_4_564]) ).

cnf(refute_4_567,plain,
    ( e13 = e10
    | op1(e11,e10) = e10 ),
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_4_563,refute_4_566]) ).

cnf(refute_4_568,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_4_569,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_568,refute_4_467]) ).

cnf(refute_4_570,plain,
    op1(e11,e10) = e10,
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_4_567,refute_4_569]) ).

cnf(refute_4_571,plain,
    h4(op1(e11,e10)) = h4(op1(e11,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e10)))]]) ).

cnf(refute_4_572,plain,
    ( h4(op1(e11,e10)) != h4(op1(e11,e10))
    | op1(e11,e10) != e10
    | h4(op1(e11,e10)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) ),[1,0],$fot(e10)]]) ).

cnf(refute_4_573,plain,
    ( op1(e11,e10) != e10
    | h4(op1(e11,e10)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) )],[refute_4_571,refute_4_572]) ).

cnf(refute_4_574,plain,
    h4(op1(e11,e10)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_4_570,refute_4_573]) ).

cnf(refute_4_575,plain,
    ( h4(e10) != e20
    | h4(op1(e11,e10)) != h4(e10)
    | h4(op1(e11,e10)) = e20 ),
    inference(subst,[],[refute_4_27:[bind(X,$fot(h4(op1(e11,e10)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_4_576,plain,
    ( h4(e10) != e20
    | h4(op1(e11,e10)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e10)) )],[refute_4_574,refute_4_575]) ).

cnf(refute_4_577,plain,
    h4(op1(e11,e10)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_10,refute_4_576]) ).

cnf(refute_4_578,plain,
    ( e20 != e20
    | h4(op1(e11,e10)) != e20
    | h4(op1(e11,e10)) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),e20) ),[1],$fot(e20)]]) ).

cnf(refute_4_579,plain,
    ( e20 != e20
    | h4(op1(e11,e10)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e20) )],[refute_4_577,refute_4_578]) ).

cnf(refute_4_580,plain,
    e20 != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e20) )],[refute_4_579,refute_4_387]) ).

cnf(refute_4_581,plain,
    $false,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_176,refute_4_580]) ).

fof(negate_5_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) )
     => h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    inference(negate,[],[subgoal_5]) ).

fof(normalize_5_0,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_5_0]) ).

fof(normalize_5_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_5_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_5_1]) ).

fof(normalize_5_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_5_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_5_3]) ).

fof(normalize_5_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_5_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_5_5]) ).

fof(normalize_5_7,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_5_0,normalize_5_2,normalize_5_4,normalize_5_6]) ).

fof(normalize_5_8,plain,
    h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
    inference(conjunct,[],[normalize_5_7]) ).

fof(normalize_5_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_5_10,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_5_9]) ).

fof(normalize_5_11,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_5_12,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_5_11]) ).

fof(normalize_5_13,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_5_14,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_5_13]) ).

fof(normalize_5_15,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_5_13]) ).

fof(normalize_5_16,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_5_13]) ).

fof(normalize_5_17,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_5_11]) ).

fof(normalize_5_18,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_5_19,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_5_18]) ).

fof(normalize_5_20,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_5_21,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_22,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_23,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_5_24,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_5_23]) ).

fof(normalize_5_25,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_5_26,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_5_25]) ).

fof(normalize_5_27,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_5_25]) ).

fof(normalize_5_28,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_5_23]) ).

fof(normalize_5_29,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_5_25]) ).

fof(normalize_5_30,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_5_25]) ).

fof(normalize_5_31,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_5_25]) ).

fof(normalize_5_32,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_5_3]) ).

fof(normalize_5_33,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_5_34,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_5_33]) ).

fof(normalize_5_35,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_5_36,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_5_35]) ).

fof(normalize_5_37,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_5_35]) ).

fof(normalize_5_38,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_5_35]) ).

fof(normalize_5_39,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_5_33]) ).

fof(normalize_5_40,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_5_41,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_5_40]) ).

fof(normalize_5_42,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_5_43,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_5_42]) ).

fof(normalize_5_44,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_5_42]) ).

fof(normalize_5_45,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_5_46,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_5_45]) ).

fof(normalize_5_47,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_5_48,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_5_47]) ).

fof(normalize_5_49,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_5_47]) ).

fof(normalize_5_50,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_5_45]) ).

fof(normalize_5_51,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_5_47]) ).

fof(normalize_5_52,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_5_47]) ).

fof(normalize_5_53,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_5_47]) ).

fof(normalize_5_54,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_5_9]) ).

cnf(refute_5_0,plain,
    h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
    inference(canonicalize,[],[normalize_5_8]) ).

cnf(refute_5_1,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_5_10]) ).

cnf(refute_5_2,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_5_12]) ).

cnf(refute_5_3,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_5_14]) ).

cnf(refute_5_4,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_5_15]) ).

cnf(refute_5_5,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_5_6,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_5_7,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_5_5,refute_5_6]) ).

cnf(refute_5_8,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_5_9,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_5_4,refute_5_8]) ).

cnf(refute_5_10,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_5_11,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_5_12,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_5_10,refute_5_11]) ).

cnf(refute_5_13,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_9,refute_5_12]) ).

cnf(refute_5_14,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_5_16]) ).

cnf(refute_5_15,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_5_16,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_5_14,refute_5_15]) ).

cnf(refute_5_17,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_5_18,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_5_19,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_5_17,refute_5_18]) ).

cnf(refute_5_20,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_5_16,refute_5_19]) ).

cnf(refute_5_21,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_5_22,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_7,refute_5_21]) ).

cnf(refute_5_23,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_5_22:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_5_24,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_5_20,refute_5_23]) ).

cnf(refute_5_25,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_5_13,refute_5_24]) ).

cnf(refute_5_26,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_5_27,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_5_25,refute_5_26]) ).

cnf(refute_5_28,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_5_3,refute_5_27]) ).

cnf(refute_5_29,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_5_30,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_5_28,refute_5_29]) ).

cnf(refute_5_31,plain,
    ( op1(e10,e11) != e12
    | op1(e10,e11) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).

cnf(refute_5_32,plain,
    ( op1(e10,e11) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_5_30,refute_5_31]) ).

cnf(refute_5_33,plain,
    ( e12 = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_2,refute_5_32]) ).

cnf(refute_5_34,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_5_17]) ).

cnf(refute_5_35,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_5_36,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_5_30,refute_5_35]) ).

cnf(refute_5_37,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_5_34,refute_5_36]) ).

cnf(refute_5_38,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_5_19]) ).

cnf(refute_5_39,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_5_21]) ).

cnf(refute_5_40,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_5_41,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_9,refute_5_40]) ).

cnf(refute_5_42,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_5_41,refute_5_39]) ).

cnf(refute_5_43,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_5_38,refute_5_42]) ).

cnf(refute_5_44,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_5_22]) ).

cnf(refute_5_45,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_5_46,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_5_30,refute_5_45]) ).

cnf(refute_5_47,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_5_46,refute_5_44]) ).

cnf(refute_5_48,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_5_49,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_5_48,refute_5_47]) ).

cnf(refute_5_50,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_5_43,refute_5_49]) ).

cnf(refute_5_51,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_5_24]) ).

cnf(refute_5_52,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_5_53,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_9,refute_5_52]) ).

cnf(refute_5_54,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_53,refute_5_51]) ).

cnf(refute_5_55,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_5_56,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_5_55,refute_5_54]) ).

cnf(refute_5_57,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_5_50,refute_5_56]) ).

cnf(refute_5_58,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_5_59,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_57,refute_5_58]) ).

cnf(refute_5_60,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_5_37,refute_5_59]) ).

cnf(refute_5_61,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_5_26]) ).

cnf(refute_5_62,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_5_60,refute_5_61]) ).

cnf(refute_5_63,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_5_27]) ).

cnf(refute_5_64,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_5_65,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_5_64,refute_5_63]) ).

cnf(refute_5_66,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_5_62,refute_5_65]) ).

cnf(refute_5_67,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_5_28]) ).

cnf(refute_5_68,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_5_66,refute_5_67]) ).

cnf(refute_5_69,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[0],$fot(e11)]]) ).

cnf(refute_5_70,plain,
    ( op1(e12,e11) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_5_68,refute_5_69]) ).

cnf(refute_5_71,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_5_33,refute_5_70]) ).

cnf(refute_5_72,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_5_73,plain,
    ( op1(e13,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_57,refute_5_72]) ).

cnf(refute_5_74,plain,
    ( e10 = e13
    | e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_5_71,refute_5_73]) ).

cnf(refute_5_75,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_5_29]) ).

cnf(refute_5_76,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_5_74,refute_5_75]) ).

cnf(refute_5_77,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_5_30]) ).

cnf(refute_5_78,plain,
    ( e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_5_76,refute_5_77]) ).

cnf(refute_5_79,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_5_31]) ).

cnf(refute_5_80,plain,
    op1(e11,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_5_78,refute_5_79]) ).

cnf(refute_5_81,plain,
    h4(op1(e11,e11)) = h4(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).

cnf(refute_5_82,plain,
    ( h4(op1(e11,e11)) != h4(op1(e11,e11))
    | op1(e11,e11) != e13
    | h4(op1(e11,e11)) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e13)]]) ).

cnf(refute_5_83,plain,
    ( op1(e11,e11) != e13
    | h4(op1(e11,e11)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_5_81,refute_5_82]) ).

cnf(refute_5_84,plain,
    h4(op1(e11,e11)) = h4(e13),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_5_80,refute_5_83]) ).

cnf(refute_5_85,plain,
    ( h4(e13) != e23
    | h4(op1(e11,e11)) != h4(e13)
    | h4(op1(e11,e11)) = e23 ),
    inference(subst,[],[refute_5_22:[bind(X,$fot(h4(op1(e11,e11)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_5_86,plain,
    ( h4(e13) != e23
    | h4(op1(e11,e11)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e13)) )],[refute_5_84,refute_5_85]) ).

cnf(refute_5_87,plain,
    h4(op1(e11,e11)) = e23,
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_5_1,refute_5_86]) ).

cnf(refute_5_88,plain,
    ( e23 != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) != e23
    | h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e23) ),[1],$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_5_89,plain,
    ( e23 != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e23) )],[refute_5_87,refute_5_88]) ).

cnf(refute_5_90,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_5_32]) ).

cnf(refute_5_91,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_5_34]) ).

cnf(refute_5_92,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_5_36]) ).

cnf(refute_5_93,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_5_37]) ).

cnf(refute_5_94,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_5_95,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_5_93,refute_5_94]) ).

cnf(refute_5_96,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_5_97,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_5_98,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_5_96,refute_5_97]) ).

cnf(refute_5_99,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_95,refute_5_98]) ).

cnf(refute_5_100,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_5_38]) ).

cnf(refute_5_101,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_5_102,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_5_100,refute_5_101]) ).

cnf(refute_5_103,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_5_104,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_5_105,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_5_103,refute_5_104]) ).

cnf(refute_5_106,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_5_102,refute_5_105]) ).

cnf(refute_5_107,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_5_22:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_5_108,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_5_106,refute_5_107]) ).

cnf(refute_5_109,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_5_99,refute_5_108]) ).

cnf(refute_5_110,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_5_111,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_5_109,refute_5_110]) ).

cnf(refute_5_112,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_5_92,refute_5_111]) ).

cnf(refute_5_113,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_5_114,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_5_112,refute_5_113]) ).

cnf(refute_5_115,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_5_116,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_5_114,refute_5_115]) ).

cnf(refute_5_117,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_5_91,refute_5_116]) ).

cnf(refute_5_118,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_5_119,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_5_90,refute_5_118]) ).

cnf(refute_5_120,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_5_121,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_119,refute_5_120]) ).

cnf(refute_5_122,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_5_117,refute_5_121]) ).

cnf(refute_5_123,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_5_39]) ).

cnf(refute_5_124,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_5_125,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_5_114,refute_5_124]) ).

cnf(refute_5_126,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_123,refute_5_125]) ).

cnf(refute_5_127,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_5_128,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_119,refute_5_127]) ).

cnf(refute_5_129,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_5_126,refute_5_128]) ).

cnf(refute_5_130,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_5_41]) ).

cnf(refute_5_131,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_5_43]) ).

cnf(refute_5_132,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_5_133,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_95,refute_5_132]) ).

cnf(refute_5_134,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_5_133,refute_5_131]) ).

cnf(refute_5_135,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_5_130,refute_5_134]) ).

cnf(refute_5_136,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_5_44]) ).

cnf(refute_5_137,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_5_138,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_5_114,refute_5_137]) ).

cnf(refute_5_139,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_5_138,refute_5_136]) ).

cnf(refute_5_140,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_5_141,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_5_140,refute_5_139]) ).

cnf(refute_5_142,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_5_135,refute_5_141]) ).

cnf(refute_5_143,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_5_46]) ).

cnf(refute_5_144,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_5_145,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_95,refute_5_144]) ).

cnf(refute_5_146,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_145,refute_5_143]) ).

cnf(refute_5_147,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_5_148,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_147,refute_5_146]) ).

cnf(refute_5_149,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_5_142,refute_5_148]) ).

cnf(refute_5_150,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_5_151,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_149,refute_5_150]) ).

cnf(refute_5_152,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_5_129,refute_5_151]) ).

cnf(refute_5_153,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_5_48]) ).

cnf(refute_5_154,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_5_152,refute_5_153]) ).

cnf(refute_5_155,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_5_49]) ).

cnf(refute_5_156,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_5_157,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_5_156,refute_5_155]) ).

cnf(refute_5_158,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_5_154,refute_5_157]) ).

cnf(refute_5_159,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_5_50]) ).

cnf(refute_5_160,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_5_161,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_119,refute_5_160]) ).

cnf(refute_5_162,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_5_161,refute_5_159]) ).

cnf(refute_5_163,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_5_158,refute_5_162]) ).

cnf(refute_5_164,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_5_165,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_5_163,refute_5_164]) ).

cnf(refute_5_166,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_5_122,refute_5_165]) ).

cnf(refute_5_167,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_5_168,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_149,refute_5_167]) ).

cnf(refute_5_169,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_5_166,refute_5_168]) ).

cnf(refute_5_170,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_5_51]) ).

cnf(refute_5_171,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_5_169,refute_5_170]) ).

cnf(refute_5_172,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_5_52]) ).

cnf(refute_5_173,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_5_171,refute_5_172]) ).

cnf(refute_5_174,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_5_53]) ).

cnf(refute_5_175,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_5_173,refute_5_174]) ).

cnf(refute_5_176,plain,
    ( h2(e11) != e23
    | h2(e11) != op2(e21,e21)
    | e23 = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,e21)) ),[0],$fot(e23)]]) ).

cnf(refute_5_177,plain,
    ( h2(e11) != op2(e21,e21)
    | e23 = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_5_175,refute_5_176]) ).

cnf(refute_5_178,plain,
    e23 = op2(e21,e21),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_5_90,refute_5_177]) ).

cnf(refute_5_179,plain,
    ( e23 != op2(e21,e21)
    | op2(e21,e21) = e23 ),
    inference(subst,[],[refute_5_7:[bind(X,$fot(e23)),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_5_180,plain,
    op2(e21,e21) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e21,e21)) )],[refute_5_178,refute_5_179]) ).

cnf(refute_5_181,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_5_54]) ).

cnf(refute_5_182,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_5_183,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_95,refute_5_182]) ).

cnf(refute_5_184,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_5_181,refute_5_183]) ).

cnf(refute_5_185,plain,
    op2(e21,h4(e11)) = op2(e21,h4(e11)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).

cnf(refute_5_186,plain,
    ( h4(e11) != e21
    | op2(e21,h4(e11)) != op2(e21,h4(e11))
    | op2(e21,h4(e11)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(e21)]]) ).

cnf(refute_5_187,plain,
    ( h4(e11) != e21
    | op2(e21,h4(e11)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_5_185,refute_5_186]) ).

cnf(refute_5_188,plain,
    op2(e21,h4(e11)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_184,refute_5_187]) ).

cnf(refute_5_189,plain,
    op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_5_190,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(e21)]]) ).

cnf(refute_5_191,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_5_189,refute_5_190]) ).

cnf(refute_5_192,plain,
    op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_184,refute_5_191]) ).

cnf(refute_5_193,plain,
    ( op2(e21,h4(e11)) != op2(e21,e21)
    | op2(h4(e11),h4(e11)) != op2(e21,h4(e11))
    | op2(h4(e11),h4(e11)) = op2(e21,e21) ),
    inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_5_194,plain,
    ( op2(e21,h4(e11)) != op2(e21,e21)
    | op2(h4(e11),h4(e11)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,h4(e11))) )],[refute_5_192,refute_5_193]) ).

cnf(refute_5_195,plain,
    op2(h4(e11),h4(e11)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_5_188,refute_5_194]) ).

cnf(refute_5_196,plain,
    ( op2(e21,e21) != e23
    | op2(h4(e11),h4(e11)) != op2(e21,e21)
    | op2(h4(e11),h4(e11)) = e23 ),
    inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e23))]]) ).

cnf(refute_5_197,plain,
    ( op2(e21,e21) != e23
    | op2(h4(e11),h4(e11)) = e23 ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_5_195,refute_5_196]) ).

cnf(refute_5_198,plain,
    op2(h4(e11),h4(e11)) = e23,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_5_180,refute_5_197]) ).

cnf(refute_5_199,plain,
    ( e23 != e23
    | op2(h4(e11),h4(e11)) != e23
    | e23 = op2(h4(e11),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h4(e11),h4(e11))) ),[1],$fot(e23)]]) ).

cnf(refute_5_200,plain,
    ( e23 != e23
    | e23 = op2(h4(e11),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),e23) )],[refute_5_198,refute_5_199]) ).

cnf(refute_5_201,plain,
    ( e23 != e23
    | h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    inference(resolve,[$cnf( $equal(e23,op2(h4(e11),h4(e11))) )],[refute_5_200,refute_5_89]) ).

cnf(refute_5_202,plain,
    e23 != e23,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_5_201,refute_5_0]) ).

cnf(refute_5_203,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_5_204,plain,
    $false,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_203,refute_5_202]) ).

fof(negate_6_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
     => h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
    inference(negate,[],[subgoal_6]) ).

fof(normalize_6_0,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_6_0]) ).

fof(normalize_6_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_6_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_6_1]) ).

fof(normalize_6_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_6_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_6_3]) ).

fof(normalize_6_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_6_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_6_5]) ).

fof(normalize_6_7,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_6_0,normalize_6_2,normalize_6_4,normalize_6_6]) ).

fof(normalize_6_8,plain,
    h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
    inference(conjunct,[],[normalize_6_7]) ).

fof(normalize_6_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_6_10,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_6_9]) ).

fof(normalize_6_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_6_12,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_6_11]) ).

fof(normalize_6_13,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_6_11]) ).

fof(normalize_6_14,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_6_11]) ).

fof(normalize_6_15,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_6_9]) ).

fof(normalize_6_16,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_6_17,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    inference(conjunct,[],[normalize_6_16]) ).

fof(normalize_6_18,plain,
    h3(e11) = op2(e22,e22),
    inference(conjunct,[],[normalize_6_5]) ).

fof(normalize_6_19,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_6_20,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_21,plain,
    h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
    inference(conjunct,[],[normalize_6_7]) ).

fof(normalize_6_22,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_6_9]) ).

fof(normalize_6_23,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_6_24,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(conjunct,[],[normalize_6_23]) ).

fof(normalize_6_25,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_6_3]) ).

fof(normalize_6_26,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_6_16]) ).

fof(normalize_6_27,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_6_16]) ).

fof(normalize_6_28,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_6_29,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_6_28]) ).

fof(normalize_6_30,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_31,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_32,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_6_23]) ).

fof(normalize_6_33,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_6_34,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_6_33]) ).

fof(normalize_6_35,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_6_33]) ).

fof(normalize_6_36,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_6_23]) ).

fof(normalize_6_37,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_6_33]) ).

fof(normalize_6_38,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_6_33]) ).

fof(normalize_6_39,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_6_33]) ).

fof(normalize_6_40,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(conjunct,[],[normalize_6_7]) ).

fof(normalize_6_41,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_6_9]) ).

fof(normalize_6_42,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_6_43,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(conjunct,[],[normalize_6_42]) ).

fof(normalize_6_44,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_6_45,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_6_44]) ).

fof(normalize_6_46,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_6_44]) ).

fof(normalize_6_47,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_6_44]) ).

fof(normalize_6_48,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_6_49,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_6_48]) ).

fof(normalize_6_50,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_6_51,plain,
    op1(e10,e10) != e10,
    inference(conjunct,[],[normalize_6_50]) ).

fof(normalize_6_52,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_53,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(conjunct,[],[normalize_6_42]) ).

fof(normalize_6_54,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_6_42]) ).

fof(normalize_6_55,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_6_42]) ).

fof(normalize_6_56,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_6_57,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_6_56]) ).

fof(normalize_6_58,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_6_59,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_6_58]) ).

fof(normalize_6_60,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_6_58]) ).

fof(normalize_6_61,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_6_50]) ).

fof(normalize_6_62,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_6_48]) ).

fof(normalize_6_63,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_6_48]) ).

fof(normalize_6_64,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_6_50]) ).

fof(normalize_6_65,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_6_48]) ).

fof(normalize_6_66,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_6_48]) ).

fof(normalize_6_67,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_6_48]) ).

fof(normalize_6_68,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_6_58]) ).

fof(normalize_6_69,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(conjunct,[],[normalize_6_58]) ).

fof(normalize_6_70,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(conjunct,[],[normalize_6_7]) ).

fof(normalize_6_71,plain,
    h1(e11) = op2(e20,e20),
    inference(conjunct,[],[normalize_6_1]) ).

fof(normalize_6_72,plain,
    ( op2(e20,e20) != e23
    | op2(e20,e23) != e20 ),
    inference(conjunct,[],[normalize_6_23]) ).

fof(normalize_6_73,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_74,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_6_28]) ).

fof(normalize_6_75,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_76,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_77,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e20) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    inference(conjunct,[],[normalize_6_28]) ).

fof(normalize_6_78,plain,
    op2(e20,e20) != e20,
    inference(conjunct,[],[normalize_6_23]) ).

fof(normalize_6_79,plain,
    op2(e20,e20) != op2(e20,e21),
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_80,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(conjunct,[],[normalize_6_56]) ).

fof(normalize_6_81,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(conjunct,[],[normalize_6_58]) ).

cnf(refute_6_0,plain,
    h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
    inference(canonicalize,[],[normalize_6_8]) ).

cnf(refute_6_1,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_6_10]) ).

cnf(refute_6_2,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_6_12]) ).

cnf(refute_6_3,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_6_13]) ).

cnf(refute_6_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_6_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_6_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_6_4,refute_6_5]) ).

cnf(refute_6_7,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_6_8,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_6_3,refute_6_7]) ).

cnf(refute_6_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_6_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_6_11,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_6_9,refute_6_10]) ).

cnf(refute_6_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_8,refute_6_11]) ).

cnf(refute_6_13,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_6_14]) ).

cnf(refute_6_14,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_6_15,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_6_13,refute_6_14]) ).

cnf(refute_6_16,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_6_17,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_6_18,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_6_16,refute_6_17]) ).

cnf(refute_6_19,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_6_15,refute_6_18]) ).

cnf(refute_6_20,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_6_21,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_6_6,refute_6_20]) ).

cnf(refute_6_22,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_6_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_6_23,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_6_19,refute_6_22]) ).

cnf(refute_6_24,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_6_12,refute_6_23]) ).

cnf(refute_6_25,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_6_26,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_6_24,refute_6_25]) ).

cnf(refute_6_27,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_6_2,refute_6_26]) ).

cnf(refute_6_28,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_6_29,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_6_27,refute_6_28]) ).

cnf(refute_6_30,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_6_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_6_31,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_6_24,refute_6_30]) ).

cnf(refute_6_32,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_6_29,refute_6_31]) ).

cnf(refute_6_33,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_6_34,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_6_32,refute_6_33]) ).

cnf(refute_6_35,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_6_1,refute_6_34]) ).

cnf(refute_6_36,plain,
    op2(e21,h4(e12)) = op2(e21,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).

cnf(refute_6_37,plain,
    ( h4(e12) != e22
    | op2(e21,h4(e12)) != op2(e21,h4(e12))
    | op2(e21,h4(e12)) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_6_38,plain,
    ( h4(e12) != e22
    | op2(e21,h4(e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_6_36,refute_6_37]) ).

cnf(refute_6_39,plain,
    op2(e21,h4(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_35,refute_6_38]) ).

cnf(refute_6_40,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_6_15]) ).

cnf(refute_6_41,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_6_42,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_8,refute_6_41]) ).

cnf(refute_6_43,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_6_40,refute_6_42]) ).

cnf(refute_6_44,plain,
    op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).

cnf(refute_6_45,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
    | op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).

cnf(refute_6_46,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_6_44,refute_6_45]) ).

cnf(refute_6_47,plain,
    op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_43,refute_6_46]) ).

cnf(refute_6_48,plain,
    ( op2(e21,h4(e12)) != op2(e21,e22)
    | op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
    | op2(h4(e11),h4(e12)) = op2(e21,e22) ),
    inference(subst,[],[refute_6_21:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).

cnf(refute_6_49,plain,
    ( op2(e21,h4(e12)) != op2(e21,e22)
    | op2(h4(e11),h4(e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_6_47,refute_6_48]) ).

cnf(refute_6_50,plain,
    op2(h4(e11),h4(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_6_39,refute_6_49]) ).

cnf(refute_6_51,plain,
    ( h4(op1(e11,e12)) != op2(e21,e22)
    | op2(h4(e11),h4(e12)) != op2(e21,e22)
    | h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) ),[1],$fot(op2(e21,e22))]]) ).

cnf(refute_6_52,plain,
    ( h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_6_50,refute_6_51]) ).

cnf(refute_6_53,plain,
    h4(op1(e11,e12)) != op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_6_52,refute_6_0]) ).

cnf(refute_6_54,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    inference(canonicalize,[],[normalize_6_17]) ).

cnf(refute_6_55,plain,
    h3(e11) = op2(e22,e22),
    inference(canonicalize,[],[normalize_6_18]) ).

cnf(refute_6_56,plain,
    ( h3(e11) != op2(e22,e22)
    | op2(e22,e22) = h3(e11) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_6_57,plain,
    op2(e22,e22) = h3(e11),
    inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_6_55,refute_6_56]) ).

cnf(refute_6_58,plain,
    ( op2(e22,e22) != e21
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).

cnf(refute_6_59,plain,
    ( op2(e22,e22) != e21
    | h3(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_57,refute_6_58]) ).

cnf(refute_6_60,plain,
    ( h3(e11) = e21
    | op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e23,e22) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_54,refute_6_59]) ).

cnf(refute_6_61,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(canonicalize,[],[normalize_6_20]) ).

cnf(refute_6_62,plain,
    ( op2(e23,e22) != e21
    | op2(e23,e23) != e21
    | op2(e23,e22) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_6_63,plain,
    ( op2(e23,e22) != e21
    | op2(e23,e22) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_8,refute_6_62]) ).

cnf(refute_6_64,plain,
    op2(e23,e22) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_6_63,refute_6_61]) ).

cnf(refute_6_65,plain,
    ( h3(e11) = e21
    | op2(e20,e22) = e21
    | op2(e21,e22) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_6_60,refute_6_64]) ).

cnf(refute_6_66,plain,
    h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
    inference(canonicalize,[],[normalize_6_21]) ).

cnf(refute_6_67,plain,
    op2(e20,h4(e12)) = op2(e20,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).

cnf(refute_6_68,plain,
    ( h4(e12) != e22
    | op2(e20,h4(e12)) != op2(e20,h4(e12))
    | op2(e20,h4(e12)) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_6_69,plain,
    ( h4(e12) != e22
    | op2(e20,h4(e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_6_67,refute_6_68]) ).

cnf(refute_6_70,plain,
    op2(e20,h4(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_35,refute_6_69]) ).

cnf(refute_6_71,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_6_22]) ).

cnf(refute_6_72,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_6_73,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_6_15,refute_6_72]) ).

cnf(refute_6_74,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_6_71,refute_6_73]) ).

cnf(refute_6_75,plain,
    op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).

cnf(refute_6_76,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
    | op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).

cnf(refute_6_77,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_6_75,refute_6_76]) ).

cnf(refute_6_78,plain,
    op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_74,refute_6_77]) ).

cnf(refute_6_79,plain,
    ( op2(e20,h4(e12)) != op2(e20,e22)
    | op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
    | op2(h4(e10),h4(e12)) = op2(e20,e22) ),
    inference(subst,[],[refute_6_21:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).

cnf(refute_6_80,plain,
    ( op2(e20,h4(e12)) != op2(e20,e22)
    | op2(h4(e10),h4(e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_6_78,refute_6_79]) ).

cnf(refute_6_81,plain,
    op2(h4(e10),h4(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_6_70,refute_6_80]) ).

cnf(refute_6_82,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | op2(h4(e10),h4(e12)) != op2(e20,e22)
    | h4(op1(e10,e12)) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).

cnf(refute_6_83,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_6_81,refute_6_82]) ).

cnf(refute_6_84,plain,
    h4(op1(e10,e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_6_66,refute_6_83]) ).

cnf(refute_6_85,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(canonicalize,[],[normalize_6_24]) ).

cnf(refute_6_86,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_6_25]) ).

cnf(refute_6_87,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_6_88,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_6_86,refute_6_87]) ).

cnf(refute_6_89,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_6_90,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_88,refute_6_89]) ).

cnf(refute_6_91,plain,
    ( h2(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_6_90,refute_6_85]) ).

cnf(refute_6_92,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_6_26]) ).

cnf(refute_6_93,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_6_94,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_6_29,refute_6_93]) ).

cnf(refute_6_95,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_6_92,refute_6_94]) ).

cnf(refute_6_96,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_6_97,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_88,refute_6_96]) ).

cnf(refute_6_98,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_6_95,refute_6_97]) ).

cnf(refute_6_99,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_6_27]) ).

cnf(refute_6_100,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_6_101,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_6_29,refute_6_100]) ).

cnf(refute_6_102,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_99,refute_6_101]) ).

cnf(refute_6_103,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_6_104,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_88,refute_6_103]) ).

cnf(refute_6_105,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_6_102,refute_6_104]) ).

cnf(refute_6_106,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_6_29]) ).

cnf(refute_6_107,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_6_30]) ).

cnf(refute_6_108,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_6_109,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_8,refute_6_108]) ).

cnf(refute_6_110,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_6_109,refute_6_107]) ).

cnf(refute_6_111,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_6_106,refute_6_110]) ).

cnf(refute_6_112,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_6_31]) ).

cnf(refute_6_113,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_6_114,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_6_29,refute_6_113]) ).

cnf(refute_6_115,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_6_114,refute_6_112]) ).

cnf(refute_6_116,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_6_117,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_6_116,refute_6_115]) ).

cnf(refute_6_118,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_6_111,refute_6_117]) ).

cnf(refute_6_119,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_6_32]) ).

cnf(refute_6_120,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_6_121,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_8,refute_6_120]) ).

cnf(refute_6_122,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_121,refute_6_119]) ).

cnf(refute_6_123,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_6_124,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_123,refute_6_122]) ).

cnf(refute_6_125,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_6_118,refute_6_124]) ).

cnf(refute_6_126,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_6_127,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_125,refute_6_126]) ).

cnf(refute_6_128,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_6_105,refute_6_127]) ).

cnf(refute_6_129,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_6_34]) ).

cnf(refute_6_130,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_128,refute_6_129]) ).

cnf(refute_6_131,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_6_35]) ).

cnf(refute_6_132,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_6_133,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_132,refute_6_131]) ).

cnf(refute_6_134,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_130,refute_6_133]) ).

cnf(refute_6_135,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_6_36]) ).

cnf(refute_6_136,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_6_137,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_88,refute_6_136]) ).

cnf(refute_6_138,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_6_137,refute_6_135]) ).

cnf(refute_6_139,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_134,refute_6_138]) ).

cnf(refute_6_140,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_6_141,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_6_139,refute_6_140]) ).

cnf(refute_6_142,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_6_98,refute_6_141]) ).

cnf(refute_6_143,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_6_144,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_125,refute_6_143]) ).

cnf(refute_6_145,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_6_142,refute_6_144]) ).

cnf(refute_6_146,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_6_37]) ).

cnf(refute_6_147,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_145,refute_6_146]) ).

cnf(refute_6_148,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_6_38]) ).

cnf(refute_6_149,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_147,refute_6_148]) ).

cnf(refute_6_150,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_6_39]) ).

cnf(refute_6_151,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_149,refute_6_150]) ).

cnf(refute_6_152,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_6_153,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_151,refute_6_152]) ).

cnf(refute_6_154,plain,
    ( e23 != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_153,refute_6_91]) ).

cnf(refute_6_155,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_6_156,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_155,refute_6_154]) ).

cnf(refute_6_157,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(canonicalize,[],[normalize_6_40]) ).

cnf(refute_6_158,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_6_41]) ).

cnf(refute_6_159,plain,
    op2(e20,h4(e13)) = op2(e20,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).

cnf(refute_6_160,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) != op2(e20,h4(e13))
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_6_161,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_6_159,refute_6_160]) ).

cnf(refute_6_162,plain,
    op2(e20,h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_158,refute_6_161]) ).

cnf(refute_6_163,plain,
    op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_6_164,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_6_165,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_6_163,refute_6_164]) ).

cnf(refute_6_166,plain,
    op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_74,refute_6_165]) ).

cnf(refute_6_167,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(subst,[],[refute_6_21:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).

cnf(refute_6_168,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_6_166,refute_6_167]) ).

cnf(refute_6_169,plain,
    op2(h4(e10),h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_6_162,refute_6_168]) ).

cnf(refute_6_170,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) != op2(e20,e23)
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_6_171,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_6_169,refute_6_170]) ).

cnf(refute_6_172,plain,
    h4(op1(e10,e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_6_157,refute_6_171]) ).

cnf(refute_6_173,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(canonicalize,[],[normalize_6_43]) ).

cnf(refute_6_174,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_6_45]) ).

cnf(refute_6_175,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_6_46]) ).

cnf(refute_6_176,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_6_177,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_6_175,refute_6_176]) ).

cnf(refute_6_178,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_6_179,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_6_180,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_6_178,refute_6_179]) ).

cnf(refute_6_181,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_177,refute_6_180]) ).

cnf(refute_6_182,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_6_47]) ).

cnf(refute_6_183,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_6_184,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_6_182,refute_6_183]) ).

cnf(refute_6_185,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_6_186,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_6_187,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_6_185,refute_6_186]) ).

cnf(refute_6_188,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_6_184,refute_6_187]) ).

cnf(refute_6_189,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_6_21:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_6_190,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_6_188,refute_6_189]) ).

cnf(refute_6_191,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_6_181,refute_6_190]) ).

cnf(refute_6_192,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_6_193,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_6_191,refute_6_192]) ).

cnf(refute_6_194,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_6_174,refute_6_193]) ).

cnf(refute_6_195,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_6_196,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_6_194,refute_6_195]) ).

cnf(refute_6_197,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) != e12
    | e12 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e12)]]) ).

cnf(refute_6_198,plain,
    ( op1(e10,e11) != e10
    | e12 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_196,refute_6_197]) ).

cnf(refute_6_199,plain,
    ( e12 = e10
    | op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_173,refute_6_198]) ).

cnf(refute_6_200,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_6_49]) ).

cnf(refute_6_201,plain,
    ( e12 != e10
    | e10 = e12 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).

cnf(refute_6_202,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_6_201,refute_6_200]) ).

cnf(refute_6_203,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_6_199,refute_6_202]) ).

cnf(refute_6_204,plain,
    op1(e10,e10) != e10,
    inference(canonicalize,[],[normalize_6_51]) ).

cnf(refute_6_205,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_203,refute_6_204]) ).

cnf(refute_6_206,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | op1(e10,e13) != e10
    | h4(e10) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e10)]]) ).

cnf(refute_6_207,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | h4(e10) = op2(e20,e23)
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_6_205,refute_6_206]) ).

cnf(refute_6_208,plain,
    ( h4(e10) = op2(e20,e23)
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_6_172,refute_6_207]) ).

cnf(refute_6_209,plain,
    ( h4(e10) != e20
    | h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e23)) ),[0],$fot(e20)]]) ).

cnf(refute_6_210,plain,
    ( h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_74,refute_6_209]) ).

cnf(refute_6_211,plain,
    ( e20 = op2(e20,e23)
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e23)) )],[refute_6_208,refute_6_210]) ).

cnf(refute_6_212,plain,
    ( e20 != op2(e20,e23)
    | op2(e20,e23) = e20 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e23)))]]) ).

cnf(refute_6_213,plain,
    ( op1(e10,e12) = e10
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_6_211,refute_6_212]) ).

cnf(refute_6_214,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | op2(e20,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_6_215,plain,
    ( e20 != e20
    | op1(e10,e12) = e10
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_213,refute_6_214]) ).

cnf(refute_6_216,plain,
    ( e20 != e20
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_215,refute_6_156]) ).

cnf(refute_6_217,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_6_218,plain,
    op1(e10,e12) = e10,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_217,refute_6_216]) ).

cnf(refute_6_219,plain,
    h4(op1(e10,e12)) = h4(op1(e10,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).

cnf(refute_6_220,plain,
    ( h4(op1(e10,e12)) != h4(op1(e10,e12))
    | op1(e10,e12) != e10
    | h4(op1(e10,e12)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).

cnf(refute_6_221,plain,
    ( op1(e10,e12) != e10
    | h4(op1(e10,e12)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_6_219,refute_6_220]) ).

cnf(refute_6_222,plain,
    h4(op1(e10,e12)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_218,refute_6_221]) ).

cnf(refute_6_223,plain,
    ( h4(e10) != e20
    | h4(op1(e10,e12)) != h4(e10)
    | h4(op1(e10,e12)) = e20 ),
    inference(subst,[],[refute_6_21:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_6_224,plain,
    ( h4(e10) != e20
    | h4(op1(e10,e12)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_6_222,refute_6_223]) ).

cnf(refute_6_225,plain,
    h4(op1(e10,e12)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_74,refute_6_224]) ).

cnf(refute_6_226,plain,
    ( h4(op1(e10,e12)) != e20
    | h4(op1(e10,e12)) != op2(e20,e22)
    | e20 = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(e20)]]) ).

cnf(refute_6_227,plain,
    ( h4(op1(e10,e12)) != op2(e20,e22)
    | e20 = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e20) )],[refute_6_225,refute_6_226]) ).

cnf(refute_6_228,plain,
    e20 = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_6_84,refute_6_227]) ).

cnf(refute_6_229,plain,
    ( e20 != op2(e20,e22)
    | op2(e20,e22) = e20 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).

cnf(refute_6_230,plain,
    op2(e20,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_6_228,refute_6_229]) ).

cnf(refute_6_231,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[0],$fot(e20)]]) ).

cnf(refute_6_232,plain,
    ( op2(e20,e22) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_230,refute_6_231]) ).

cnf(refute_6_233,plain,
    ( e20 = e21
    | h3(e11) = e21
    | op2(e21,e22) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_65,refute_6_232]) ).

cnf(refute_6_234,plain,
    ( h3(e11) = e21
    | op2(e21,e22) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_233,refute_6_129]) ).

cnf(refute_6_235,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(canonicalize,[],[normalize_6_52]) ).

cnf(refute_6_236,plain,
    ( op2(e22,e21) != h3(e11)
    | op2(e22,e22) != h3(e11)
    | op2(e22,e21) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).

cnf(refute_6_237,plain,
    ( op2(e22,e21) != h3(e11)
    | op2(e22,e21) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_57,refute_6_236]) ).

cnf(refute_6_238,plain,
    op2(e22,e21) != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_6_237,refute_6_235]) ).

cnf(refute_6_239,plain,
    ( e21 != h3(e11)
    | op2(e22,e21) != e21
    | op2(e22,e21) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[1],$fot(h3(e11))]]) ).

cnf(refute_6_240,plain,
    ( e21 != h3(e11)
    | op2(e22,e21) = h3(e11) ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_6_139,refute_6_239]) ).

cnf(refute_6_241,plain,
    e21 != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_6_240,refute_6_238]) ).

cnf(refute_6_242,plain,
    ( h3(e11) != e21
    | e21 = h3(e11) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(h3(e11))),bind(Y,$fot(e21))]]) ).

cnf(refute_6_243,plain,
    h3(e11) != e21,
    inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_6_242,refute_6_241]) ).

cnf(refute_6_244,plain,
    op2(e21,e22) = e21,
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_6_234,refute_6_243]) ).

cnf(refute_6_245,plain,
    ( h4(op1(e11,e12)) != e21
    | op2(e21,e22) != e21
    | h4(op1(e11,e12)) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[1],$fot(e21)]]) ).

cnf(refute_6_246,plain,
    ( h4(op1(e11,e12)) != e21
    | h4(op1(e11,e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_244,refute_6_245]) ).

cnf(refute_6_247,plain,
    h4(op1(e11,e12)) != e21,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_6_246,refute_6_53]) ).

cnf(refute_6_248,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(canonicalize,[],[normalize_6_53]) ).

cnf(refute_6_249,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_6_54]) ).

cnf(refute_6_250,plain,
    ( op1(e10,e11) != e12
    | op1(e10,e11) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).

cnf(refute_6_251,plain,
    ( op1(e10,e11) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_196,refute_6_250]) ).

cnf(refute_6_252,plain,
    ( e12 = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_6_249,refute_6_251]) ).

cnf(refute_6_253,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_6_55]) ).

cnf(refute_6_254,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_6_255,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_196,refute_6_254]) ).

cnf(refute_6_256,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_253,refute_6_255]) ).

cnf(refute_6_257,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_6_57]) ).

cnf(refute_6_258,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_6_59]) ).

cnf(refute_6_259,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_6_260,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_177,refute_6_259]) ).

cnf(refute_6_261,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_6_260,refute_6_258]) ).

cnf(refute_6_262,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_6_257,refute_6_261]) ).

cnf(refute_6_263,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_6_60]) ).

cnf(refute_6_264,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_6_265,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_196,refute_6_264]) ).

cnf(refute_6_266,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_6_265,refute_6_263]) ).

cnf(refute_6_267,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_6_268,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_6_267,refute_6_266]) ).

cnf(refute_6_269,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_6_262,refute_6_268]) ).

cnf(refute_6_270,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_6_61]) ).

cnf(refute_6_271,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_6_272,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_177,refute_6_271]) ).

cnf(refute_6_273,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_272,refute_6_270]) ).

cnf(refute_6_274,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_6_275,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_274,refute_6_273]) ).

cnf(refute_6_276,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_6_269,refute_6_275]) ).

cnf(refute_6_277,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_6_278,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_6_276,refute_6_277]) ).

cnf(refute_6_279,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_6_256,refute_6_278]) ).

cnf(refute_6_280,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_6_62]) ).

cnf(refute_6_281,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_6_279,refute_6_280]) ).

cnf(refute_6_282,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_6_63]) ).

cnf(refute_6_283,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_6_284,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_6_283,refute_6_282]) ).

cnf(refute_6_285,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_6_281,refute_6_284]) ).

cnf(refute_6_286,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_6_64]) ).

cnf(refute_6_287,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_285,refute_6_286]) ).

cnf(refute_6_288,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[0],$fot(e11)]]) ).

cnf(refute_6_289,plain,
    ( op1(e12,e11) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_6_287,refute_6_288]) ).

cnf(refute_6_290,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_6_252,refute_6_289]) ).

cnf(refute_6_291,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_6_292,plain,
    ( op1(e13,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_6_276,refute_6_291]) ).

cnf(refute_6_293,plain,
    ( e10 = e13
    | e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_6_290,refute_6_292]) ).

cnf(refute_6_294,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_6_65]) ).

cnf(refute_6_295,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_6_293,refute_6_294]) ).

cnf(refute_6_296,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_6_66]) ).

cnf(refute_6_297,plain,
    ( e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_295,refute_6_296]) ).

cnf(refute_6_298,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_6_67]) ).

cnf(refute_6_299,plain,
    op1(e11,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_6_297,refute_6_298]) ).

cnf(refute_6_300,plain,
    ( op1(e11,e11) != e11
    | op1(e11,e11) != e13
    | e13 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e13)]]) ).

cnf(refute_6_301,plain,
    ( op1(e11,e11) != e11
    | e13 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_6_299,refute_6_300]) ).

cnf(refute_6_302,plain,
    ( e13 = e11
    | op1(e11,e10) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_248,refute_6_301]) ).

cnf(refute_6_303,plain,
    ( e13 != e11
    | e11 = e13 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).

cnf(refute_6_304,plain,
    e13 != e11,
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_303,refute_6_296]) ).

cnf(refute_6_305,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e13,e11) )],[refute_6_302,refute_6_304]) ).

cnf(refute_6_306,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_6_68]) ).

cnf(refute_6_307,plain,
    ( op1(e11,e13) != e11
    | op1(e13,e13) != e11
    | op1(e11,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_6_308,plain,
    ( op1(e11,e13) != e11
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_177,refute_6_307]) ).

cnf(refute_6_309,plain,
    op1(e11,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_6_308,refute_6_306]) ).

cnf(refute_6_310,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e12) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_6_305,refute_6_309]) ).

cnf(refute_6_311,plain,
    ( h4(e11) != e21
    | op1(e11,e12) != e11
    | h4(op1(e11,e12)) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e21) ),[0,0],$fot(e11)]]) ).

cnf(refute_6_312,plain,
    ( h4(e11) != e21
    | h4(op1(e11,e12)) = e21
    | op1(e11,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_310,refute_6_311]) ).

cnf(refute_6_313,plain,
    ( h4(e11) != e21
    | op1(e11,e10) = e11 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_6_312,refute_6_247]) ).

cnf(refute_6_314,plain,
    ( e21 != e21
    | h4(e11) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).

cnf(refute_6_315,plain,
    ( e21 != e21
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_43,refute_6_314]) ).

cnf(refute_6_316,plain,
    ( e21 != e21
    | op1(e11,e10) = e11 ),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_315,refute_6_313]) ).

cnf(refute_6_317,plain,
    op1(e11,e10) = e11,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_123,refute_6_316]) ).

cnf(refute_6_318,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(canonicalize,[],[normalize_6_69]) ).

cnf(refute_6_319,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(canonicalize,[],[normalize_6_70]) ).

cnf(refute_6_320,plain,
    h1(e11) = op2(e20,e20),
    inference(canonicalize,[],[normalize_6_71]) ).

cnf(refute_6_321,plain,
    ( h1(e11) != op2(e20,e20)
    | op2(e20,e20) = h1(e11) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_6_322,plain,
    op2(e20,e20) = h1(e11),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_6_320,refute_6_321]) ).

cnf(refute_6_323,plain,
    op2(e20,h4(e10)) = op2(e20,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).

cnf(refute_6_324,plain,
    ( h4(e10) != e20
    | op2(e20,h4(e10)) != op2(e20,h4(e10))
    | op2(e20,h4(e10)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).

cnf(refute_6_325,plain,
    ( h4(e10) != e20
    | op2(e20,h4(e10)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_6_323,refute_6_324]) ).

cnf(refute_6_326,plain,
    op2(e20,h4(e10)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_74,refute_6_325]) ).

cnf(refute_6_327,plain,
    op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_6_328,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).

cnf(refute_6_329,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_6_327,refute_6_328]) ).

cnf(refute_6_330,plain,
    op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_74,refute_6_329]) ).

cnf(refute_6_331,plain,
    ( op2(e20,h4(e10)) != op2(e20,e20)
    | op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e20,e20) ),
    inference(subst,[],[refute_6_21:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_6_332,plain,
    ( op2(e20,h4(e10)) != op2(e20,e20)
    | op2(h4(e10),h4(e10)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_6_330,refute_6_331]) ).

cnf(refute_6_333,plain,
    op2(h4(e10),h4(e10)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_6_326,refute_6_332]) ).

cnf(refute_6_334,plain,
    ( op2(e20,e20) != h1(e11)
    | op2(h4(e10),h4(e10)) != op2(e20,e20)
    | op2(h4(e10),h4(e10)) = h1(e11) ),
    inference(subst,[],[refute_6_21:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).

cnf(refute_6_335,plain,
    ( op2(e20,e20) != h1(e11)
    | op2(h4(e10),h4(e10)) = h1(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_6_333,refute_6_334]) ).

cnf(refute_6_336,plain,
    op2(h4(e10),h4(e10)) = h1(e11),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_322,refute_6_335]) ).

cnf(refute_6_337,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) != h1(e11)
    | h4(op1(e10,e10)) = h1(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_6_338,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e10)) = h1(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_6_336,refute_6_337]) ).

cnf(refute_6_339,plain,
    h4(op1(e10,e10)) = h1(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_6_319,refute_6_338]) ).

cnf(refute_6_340,plain,
    ( op2(e20,e20) != e23
    | op2(e20,e23) != e20 ),
    inference(canonicalize,[],[normalize_6_72]) ).

cnf(refute_6_341,plain,
    ( h1(e11) != e23
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_6_342,plain,
    ( h1(e11) != e23
    | op2(e20,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_322,refute_6_341]) ).

cnf(refute_6_343,plain,
    ( h1(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_342,refute_6_340]) ).

cnf(refute_6_344,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(canonicalize,[],[normalize_6_73]) ).

cnf(refute_6_345,plain,
    ( h1(e11) != op2(e20,e23)
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_6_346,plain,
    ( h1(e11) != op2(e20,e23)
    | op2(e20,e20) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_322,refute_6_345]) ).

cnf(refute_6_347,plain,
    h1(e11) != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_6_346,refute_6_344]) ).

cnf(refute_6_348,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_6_74]) ).

cnf(refute_6_349,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_6_75]) ).

cnf(refute_6_350,plain,
    ( op2(e20,e23) != e21
    | op2(e23,e23) != e21
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_6_351,plain,
    ( op2(e20,e23) != e21
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_8,refute_6_350]) ).

cnf(refute_6_352,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_6_351,refute_6_349]) ).

cnf(refute_6_353,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_6_348,refute_6_352]) ).

cnf(refute_6_354,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(canonicalize,[],[normalize_6_76]) ).

cnf(refute_6_355,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_6_356,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_6_29,refute_6_355]) ).

cnf(refute_6_357,plain,
    e22 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_6_356,refute_6_354]) ).

cnf(refute_6_358,plain,
    ( op2(e20,e23) != e22
    | e22 = op2(e20,e23) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_6_359,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_6_358,refute_6_357]) ).

cnf(refute_6_360,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_353,refute_6_359]) ).

cnf(refute_6_361,plain,
    ( h1(e11) != e23
    | op2(e20,e23) != e23
    | h1(e11) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e23)]]) ).

cnf(refute_6_362,plain,
    ( h1(e11) != e23
    | h1(e11) = op2(e20,e23)
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_360,refute_6_361]) ).

cnf(refute_6_363,plain,
    ( h1(e11) != e23
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_6_362,refute_6_347]) ).

cnf(refute_6_364,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e20) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    inference(canonicalize,[],[normalize_6_77]) ).

cnf(refute_6_365,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).

cnf(refute_6_366,plain,
    ( op2(e20,e20) != e20
    | h1(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_322,refute_6_365]) ).

cnf(refute_6_367,plain,
    ( h1(e11) = e20
    | op2(e20,e20) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_364,refute_6_366]) ).

cnf(refute_6_368,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).

cnf(refute_6_369,plain,
    ( op2(e20,e20) != e21
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_322,refute_6_368]) ).

cnf(refute_6_370,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_367,refute_6_369]) ).

cnf(refute_6_371,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).

cnf(refute_6_372,plain,
    ( op2(e20,e20) != e22
    | h1(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_322,refute_6_371]) ).

cnf(refute_6_373,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | op2(e20,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_6_370,refute_6_372]) ).

cnf(refute_6_374,plain,
    ( op2(e20,e20) != e23
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).

cnf(refute_6_375,plain,
    ( op2(e20,e20) != e23
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_322,refute_6_374]) ).

cnf(refute_6_376,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_373,refute_6_375]) ).

cnf(refute_6_377,plain,
    op2(e20,e20) != e20,
    inference(canonicalize,[],[normalize_6_78]) ).

cnf(refute_6_378,plain,
    ( h1(e11) != e20
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_6_379,plain,
    ( h1(e11) != e20
    | op2(e20,e20) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_322,refute_6_378]) ).

cnf(refute_6_380,plain,
    h1(e11) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_379,refute_6_377]) ).

cnf(refute_6_381,plain,
    ( h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_376,refute_6_380]) ).

cnf(refute_6_382,plain,
    op2(e20,e20) != op2(e20,e21),
    inference(canonicalize,[],[normalize_6_79]) ).

cnf(refute_6_383,plain,
    ( h1(e11) != op2(e20,e21)
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).

cnf(refute_6_384,plain,
    ( h1(e11) != op2(e20,e21)
    | op2(e20,e20) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_322,refute_6_383]) ).

cnf(refute_6_385,plain,
    ( h1(e11) != e22
    | op2(e20,e21) != e22
    | h1(e11) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e22)]]) ).

cnf(refute_6_386,plain,
    ( h1(e11) != e22
    | h1(e11) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_6_29,refute_6_385]) ).

cnf(refute_6_387,plain,
    ( h1(e11) != e22
    | op2(e20,e20) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_6_386,refute_6_384]) ).

cnf(refute_6_388,plain,
    h1(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_6_387,refute_6_382]) ).

cnf(refute_6_389,plain,
    ( h1(e11) = e21
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_6_381,refute_6_388]) ).

cnf(refute_6_390,plain,
    ( e23 != e23
    | h1(e11) != e23
    | h1(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_6_391,plain,
    ( e23 != e23
    | h1(e11) = e21
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_389,refute_6_390]) ).

cnf(refute_6_392,plain,
    ( e23 != e23
    | h1(e11) = e21
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_391,refute_6_363]) ).

cnf(refute_6_393,plain,
    ( h1(e11) = e21
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_155,refute_6_392]) ).

cnf(refute_6_394,plain,
    ( e20 != e20
    | h1(e11) = e21
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_393,refute_6_214]) ).

cnf(refute_6_395,plain,
    ( e20 != e20
    | h1(e11) != e23
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_394,refute_6_343]) ).

cnf(refute_6_396,plain,
    ( h1(e11) != e23
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_217,refute_6_395]) ).

cnf(refute_6_397,plain,
    ( h1(e11) != e21
    | h1(e11) != e23
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[0],$fot(e23)]]) ).

cnf(refute_6_398,plain,
    ( h1(e11) != e23
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_6_396,refute_6_397]) ).

cnf(refute_6_399,plain,
    ( e23 != e21
    | e21 = e23 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).

cnf(refute_6_400,plain,
    e23 != e21,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_399,refute_6_148]) ).

cnf(refute_6_401,plain,
    h1(e11) != e23,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_398,refute_6_400]) ).

cnf(refute_6_402,plain,
    ( e23 != e23
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_391,refute_6_401]) ).

cnf(refute_6_403,plain,
    h1(e11) = e21,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_155,refute_6_402]) ).

cnf(refute_6_404,plain,
    ( h1(e11) != e21
    | h4(op1(e10,e10)) != h1(e11)
    | h4(op1(e10,e10)) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_6_405,plain,
    ( h4(op1(e10,e10)) != h1(e11)
    | h4(op1(e10,e10)) = e21 ),
    inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_6_403,refute_6_404]) ).

cnf(refute_6_406,plain,
    h4(op1(e10,e10)) = e21,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_6_339,refute_6_405]) ).

cnf(refute_6_407,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(canonicalize,[],[normalize_6_80]) ).

cnf(refute_6_408,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_407,refute_6_204]) ).

cnf(refute_6_409,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(canonicalize,[],[normalize_6_81]) ).

cnf(refute_6_410,plain,
    ( op1(e10,e10) != e12
    | op1(e10,e11) != e12
    | op1(e10,e10) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e12)]]) ).

cnf(refute_6_411,plain,
    ( op1(e10,e10) != e12
    | op1(e10,e10) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_196,refute_6_410]) ).

cnf(refute_6_412,plain,
    op1(e10,e10) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_6_411,refute_6_409]) ).

cnf(refute_6_413,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_6_408,refute_6_412]) ).

cnf(refute_6_414,plain,
    ( h4(op1(e10,e10)) != e21
    | op1(e10,e10) != e13
    | h4(e13) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e21) ),[0,0],$fot(e13)]]) ).

cnf(refute_6_415,plain,
    ( h4(op1(e10,e10)) != e21
    | h4(e13) = e21
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_413,refute_6_414]) ).

cnf(refute_6_416,plain,
    ( h4(e13) = e21
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_6_406,refute_6_415]) ).

cnf(refute_6_417,plain,
    ( h4(e13) != e21
    | h4(e13) != e23
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[0],$fot(e23)]]) ).

cnf(refute_6_418,plain,
    ( h4(e13) != e21
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_158,refute_6_417]) ).

cnf(refute_6_419,plain,
    ( e23 = e21
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_416,refute_6_418]) ).

cnf(refute_6_420,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_419,refute_6_400]) ).

cnf(refute_6_421,plain,
    ( e11 != op1(e11,e10)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e11,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e11,e10))]]) ).

cnf(refute_6_422,plain,
    ( e11 != op1(e11,e10)
    | op1(e10,e10) = op1(e11,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_420,refute_6_421]) ).

cnf(refute_6_423,plain,
    e11 != op1(e11,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_6_422,refute_6_318]) ).

cnf(refute_6_424,plain,
    ( op1(e11,e10) != e11
    | e11 = op1(e11,e10) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e11,e10))),bind(Y,$fot(e11))]]) ).

cnf(refute_6_425,plain,
    op1(e11,e10) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e11,e10)) )],[refute_6_424,refute_6_423]) ).

cnf(refute_6_426,plain,
    $false,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_317,refute_6_425]) ).

fof(negate_7_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) )
     => h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
    inference(negate,[],[subgoal_7]) ).

fof(normalize_7_0,plain,
    ( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_7_0]) ).

fof(normalize_7_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_7_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_7_1]) ).

fof(normalize_7_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_7_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_7_3]) ).

fof(normalize_7_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_7_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_7_5]) ).

fof(normalize_7_7,plain,
    ( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_7_0,normalize_7_2,normalize_7_4,normalize_7_6]) ).

fof(normalize_7_8,plain,
    h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
    inference(conjunct,[],[normalize_7_7]) ).

fof(normalize_7_9,plain,
    h2(e10) = op2(e21,op2(e21,e21)),
    inference(conjunct,[],[normalize_7_3]) ).

fof(normalize_7_10,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_7_11,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_7_10]) ).

fof(normalize_7_12,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_7_13,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_7_12]) ).

fof(normalize_7_14,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_7_12]) ).

fof(normalize_7_15,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_7_12]) ).

fof(normalize_7_16,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_7_3]) ).

fof(normalize_7_17,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_7_10]) ).

fof(normalize_7_18,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_7_19,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_7_18]) ).

fof(normalize_7_20,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_7_21,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_7_20]) ).

fof(normalize_7_22,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_7_20]) ).

fof(normalize_7_23,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_7_24,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_7_23]) ).

fof(normalize_7_25,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_7_26,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_7_25]) ).

fof(normalize_7_27,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_7_25]) ).

fof(normalize_7_28,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_7_23]) ).

fof(normalize_7_29,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_7_25]) ).

fof(normalize_7_30,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_7_25]) ).

fof(normalize_7_31,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_7_25]) ).

fof(normalize_7_32,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_7_33,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_7_32]) ).

fof(normalize_7_34,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_7_32]) ).

fof(normalize_7_35,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    inference(conjunct,[],[normalize_7_10]) ).

fof(normalize_7_36,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(conjunct,[],[normalize_7_20]) ).

fof(normalize_7_37,plain,
    h3(e10) = op2(e22,op2(e22,e22)),
    inference(conjunct,[],[normalize_7_5]) ).

fof(normalize_7_38,plain,
    h3(e11) = op2(e22,e22),
    inference(conjunct,[],[normalize_7_5]) ).

fof(normalize_7_39,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_7_20]) ).

fof(normalize_7_40,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(conjunct,[],[normalize_7_18]) ).

fof(normalize_7_41,plain,
    op2(e22,e22) != e22,
    inference(conjunct,[],[normalize_7_23]) ).

fof(normalize_7_42,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(conjunct,[],[normalize_7_20]) ).

fof(normalize_7_43,plain,
    h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
    inference(conjunct,[],[normalize_7_7]) ).

fof(normalize_7_44,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_7_32]) ).

fof(normalize_7_45,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_7_32]) ).

fof(normalize_7_46,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_7_47,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(conjunct,[],[normalize_7_46]) ).

fof(normalize_7_48,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_7_49,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_7_48]) ).

fof(normalize_7_50,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_7_48]) ).

fof(normalize_7_51,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_7_48]) ).

fof(normalize_7_52,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_7_53,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_7_52]) ).

fof(normalize_7_54,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_7_55,plain,
    op1(e10,e10) != e10,
    inference(conjunct,[],[normalize_7_54]) ).

fof(normalize_7_56,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(conjunct,[],[normalize_7_7]) ).

fof(normalize_7_57,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_7_58,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_7_57]) ).

fof(normalize_7_59,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_7_60,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_7_59]) ).

fof(normalize_7_61,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(conjunct,[],[normalize_7_59]) ).

fof(normalize_7_62,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(conjunct,[],[normalize_7_23]) ).

fof(normalize_7_63,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_7_52]) ).

fof(normalize_7_64,plain,
    ( op2(e21,e21) != e23
    | op2(e22,e23) != e22 ),
    inference(conjunct,[],[normalize_7_23]) ).

fof(normalize_7_65,plain,
    ( op1(e11,e11) != e13
    | op1(e12,e13) != e12 ),
    inference(conjunct,[],[normalize_7_54]) ).

fof(normalize_7_66,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_7_46]) ).

fof(normalize_7_67,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_7_46]) ).

fof(normalize_7_68,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_7_57]) ).

fof(normalize_7_69,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_7_59]) ).

fof(normalize_7_70,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_7_59]) ).

fof(normalize_7_71,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_7_54]) ).

fof(normalize_7_72,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_7_52]) ).

fof(normalize_7_73,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_7_52]) ).

fof(normalize_7_74,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_7_54]) ).

fof(normalize_7_75,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_7_52]) ).

fof(normalize_7_76,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_7_52]) ).

fof(normalize_7_77,plain,
    ( op1(e10,e13) = e12
    | op1(e11,e13) = e12
    | op1(e12,e13) = e12
    | op1(e13,e13) = e12 ),
    inference(conjunct,[],[normalize_7_46]) ).

cnf(refute_7_0,plain,
    h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
    inference(canonicalize,[],[normalize_7_8]) ).

cnf(refute_7_1,plain,
    h2(e10) = op2(e21,op2(e21,e21)),
    inference(canonicalize,[],[normalize_7_9]) ).

cnf(refute_7_2,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_7_11]) ).

cnf(refute_7_3,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_7_13]) ).

cnf(refute_7_4,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_7_14]) ).

cnf(refute_7_5,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_7_6,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_7_7,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_7_5,refute_7_6]) ).

cnf(refute_7_8,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_7_9,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_7_4,refute_7_8]) ).

cnf(refute_7_10,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_7_11,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_7_12,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_7_10,refute_7_11]) ).

cnf(refute_7_13,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_9,refute_7_12]) ).

cnf(refute_7_14,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_7_15]) ).

cnf(refute_7_15,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_7_16,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_7_14,refute_7_15]) ).

cnf(refute_7_17,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_7_18,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_7_19,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_7_17,refute_7_18]) ).

cnf(refute_7_20,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_7_16,refute_7_19]) ).

cnf(refute_7_21,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_7_22,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_7,refute_7_21]) ).

cnf(refute_7_23,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_7_22:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_7_24,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_7_20,refute_7_23]) ).

cnf(refute_7_25,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_7_13,refute_7_24]) ).

cnf(refute_7_26,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_7_27,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_7_25,refute_7_26]) ).

cnf(refute_7_28,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_7_3,refute_7_27]) ).

cnf(refute_7_29,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_7_30,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_7_28,refute_7_29]) ).

cnf(refute_7_31,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_7_32,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_7_30,refute_7_31]) ).

cnf(refute_7_33,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_2,refute_7_32]) ).

cnf(refute_7_34,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_7_16]) ).

cnf(refute_7_35,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_7_36,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_7_34,refute_7_35]) ).

cnf(refute_7_37,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_7_38,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_36,refute_7_37]) ).

cnf(refute_7_39,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_7_33,refute_7_38]) ).

cnf(refute_7_40,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_7_17]) ).

cnf(refute_7_41,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_7_42,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_7_30,refute_7_41]) ).

cnf(refute_7_43,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_7_40,refute_7_42]) ).

cnf(refute_7_44,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_7_45,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_36,refute_7_44]) ).

cnf(refute_7_46,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_7_43,refute_7_45]) ).

cnf(refute_7_47,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_7_19]) ).

cnf(refute_7_48,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_7_21]) ).

cnf(refute_7_49,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_7_50,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_9,refute_7_49]) ).

cnf(refute_7_51,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_7_50,refute_7_48]) ).

cnf(refute_7_52,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_7_47,refute_7_51]) ).

cnf(refute_7_53,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_7_22]) ).

cnf(refute_7_54,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_7_55,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_7_30,refute_7_54]) ).

cnf(refute_7_56,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_7_55,refute_7_53]) ).

cnf(refute_7_57,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_7_58,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_7_57,refute_7_56]) ).

cnf(refute_7_59,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_7_52,refute_7_58]) ).

cnf(refute_7_60,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_7_24]) ).

cnf(refute_7_61,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_7_62,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_9,refute_7_61]) ).

cnf(refute_7_63,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_62,refute_7_60]) ).

cnf(refute_7_64,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_7_65,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_64,refute_7_63]) ).

cnf(refute_7_66,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_7_59,refute_7_65]) ).

cnf(refute_7_67,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_7_68,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_66,refute_7_67]) ).

cnf(refute_7_69,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_7_46,refute_7_68]) ).

cnf(refute_7_70,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_7_26]) ).

cnf(refute_7_71,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_7_69,refute_7_70]) ).

cnf(refute_7_72,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_7_27]) ).

cnf(refute_7_73,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_7_74,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_7_73,refute_7_72]) ).

cnf(refute_7_75,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_7_71,refute_7_74]) ).

cnf(refute_7_76,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_7_28]) ).

cnf(refute_7_77,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_7_78,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_36,refute_7_77]) ).

cnf(refute_7_79,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_7_78,refute_7_76]) ).

cnf(refute_7_80,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_75,refute_7_79]) ).

cnf(refute_7_81,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_7_82,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_7_80,refute_7_81]) ).

cnf(refute_7_83,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_7_39,refute_7_82]) ).

cnf(refute_7_84,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_7_85,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_66,refute_7_84]) ).

cnf(refute_7_86,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_7_83,refute_7_85]) ).

cnf(refute_7_87,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_7_29]) ).

cnf(refute_7_88,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_86,refute_7_87]) ).

cnf(refute_7_89,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_7_30]) ).

cnf(refute_7_90,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_88,refute_7_89]) ).

cnf(refute_7_91,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_7_31]) ).

cnf(refute_7_92,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_7_90,refute_7_91]) ).

cnf(refute_7_93,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    inference(subst,[],[refute_7_22:[bind(X,$fot(op2(e21,e21))),bind(Y,$fot(h2(e11))),bind(Z,$fot(e23))]]) ).

cnf(refute_7_94,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_36,refute_7_93]) ).

cnf(refute_7_95,plain,
    op2(e21,e21) = e23,
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_92,refute_7_94]) ).

cnf(refute_7_96,plain,
    op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).

cnf(refute_7_97,plain,
    ( op2(e21,e21) != e23
    | op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(e23)]]) ).

cnf(refute_7_98,plain,
    ( op2(e21,e21) != e23
    | op2(e21,op2(e21,e21)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_7_96,refute_7_97]) ).

cnf(refute_7_99,plain,
    op2(e21,op2(e21,e21)) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_7_95,refute_7_98]) ).

cnf(refute_7_100,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) != op2(e21,e23)
    | h2(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,e23)) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).

cnf(refute_7_101,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | h2(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,e23)) )],[refute_7_99,refute_7_100]) ).

cnf(refute_7_102,plain,
    h2(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_7_1,refute_7_101]) ).

cnf(refute_7_103,plain,
    ( h2(e10) != op2(e21,e23)
    | op2(e21,e23) = h2(e10) ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_7_104,plain,
    op2(e21,e23) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e23)) )],[refute_7_102,refute_7_103]) ).

cnf(refute_7_105,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_7_33]) ).

cnf(refute_7_106,plain,
    op2(e21,h4(e13)) = op2(e21,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).

cnf(refute_7_107,plain,
    ( h4(e13) != e23
    | op2(e21,h4(e13)) != op2(e21,h4(e13))
    | op2(e21,h4(e13)) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_7_108,plain,
    ( h4(e13) != e23
    | op2(e21,h4(e13)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_7_106,refute_7_107]) ).

cnf(refute_7_109,plain,
    op2(e21,h4(e13)) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_105,refute_7_108]) ).

cnf(refute_7_110,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_7_34]) ).

cnf(refute_7_111,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_7_112,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_9,refute_7_111]) ).

cnf(refute_7_113,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_7_110,refute_7_112]) ).

cnf(refute_7_114,plain,
    op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).

cnf(refute_7_115,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
    | op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(e21)]]) ).

cnf(refute_7_116,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_7_114,refute_7_115]) ).

cnf(refute_7_117,plain,
    op2(h4(e11),h4(e13)) = op2(e21,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_113,refute_7_116]) ).

cnf(refute_7_118,plain,
    ( op2(e21,h4(e13)) != op2(e21,e23)
    | op2(h4(e11),h4(e13)) != op2(e21,h4(e13))
    | op2(h4(e11),h4(e13)) = op2(e21,e23) ),
    inference(subst,[],[refute_7_22:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).

cnf(refute_7_119,plain,
    ( op2(e21,h4(e13)) != op2(e21,e23)
    | op2(h4(e11),h4(e13)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,h4(e13))) )],[refute_7_117,refute_7_118]) ).

cnf(refute_7_120,plain,
    op2(h4(e11),h4(e13)) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e23)) )],[refute_7_109,refute_7_119]) ).

cnf(refute_7_121,plain,
    ( op2(e21,e23) != h2(e10)
    | op2(h4(e11),h4(e13)) != op2(e21,e23)
    | op2(h4(e11),h4(e13)) = h2(e10) ),
    inference(subst,[],[refute_7_22:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h2(e10)))]]) ).

cnf(refute_7_122,plain,
    ( op2(e21,e23) != h2(e10)
    | op2(h4(e11),h4(e13)) = h2(e10) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,e23)) )],[refute_7_120,refute_7_121]) ).

cnf(refute_7_123,plain,
    op2(h4(e11),h4(e13)) = h2(e10),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e10)) )],[refute_7_104,refute_7_122]) ).

cnf(refute_7_124,plain,
    ( h4(op1(e11,e13)) != h2(e10)
    | op2(h4(e11),h4(e13)) != h2(e10)
    | h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) ),[1],$fot(h2(e10))]]) ).

cnf(refute_7_125,plain,
    ( h4(op1(e11,e13)) != h2(e10)
    | h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),h2(e10)) )],[refute_7_123,refute_7_124]) ).

cnf(refute_7_126,plain,
    h4(op1(e11,e13)) != h2(e10),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_7_125,refute_7_0]) ).

cnf(refute_7_127,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    inference(canonicalize,[],[normalize_7_35]) ).

cnf(refute_7_128,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e23) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e21)]]) ).

cnf(refute_7_129,plain,
    ( op2(e23,e23) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_9,refute_7_128]) ).

cnf(refute_7_130,plain,
    ( e21 = e22
    | op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_7_127,refute_7_129]) ).

cnf(refute_7_131,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_7_130,refute_7_72]) ).

cnf(refute_7_132,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(canonicalize,[],[normalize_7_36]) ).

cnf(refute_7_133,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_7_134,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_7_30,refute_7_133]) ).

cnf(refute_7_135,plain,
    e22 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_7_134,refute_7_132]) ).

cnf(refute_7_136,plain,
    ( op2(e20,e23) != e22
    | e22 = op2(e20,e23) ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_7_137,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_7_136,refute_7_135]) ).

cnf(refute_7_138,plain,
    ( op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_131,refute_7_137]) ).

cnf(refute_7_139,plain,
    ( op2(e21,e23) != e22
    | op2(e21,e23) != h2(e10)
    | h2(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h2(e10))]]) ).

cnf(refute_7_140,plain,
    ( op2(e21,e23) != e22
    | h2(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e10)) )],[refute_7_104,refute_7_139]) ).

cnf(refute_7_141,plain,
    ( h2(e10) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_7_138,refute_7_140]) ).

cnf(refute_7_142,plain,
    h3(e10) = op2(e22,op2(e22,e22)),
    inference(canonicalize,[],[normalize_7_37]) ).

cnf(refute_7_143,plain,
    h3(e11) = op2(e22,e22),
    inference(canonicalize,[],[normalize_7_38]) ).

cnf(refute_7_144,plain,
    ( h3(e11) != op2(e22,e22)
    | op2(e22,e22) = h3(e11) ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_7_145,plain,
    op2(e22,e22) = h3(e11),
    inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_7_143,refute_7_144]) ).

cnf(refute_7_146,plain,
    op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).

cnf(refute_7_147,plain,
    ( op2(e22,e22) != h3(e11)
    | op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
    | op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).

cnf(refute_7_148,plain,
    ( op2(e22,e22) != h3(e11)
    | op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_7_146,refute_7_147]) ).

cnf(refute_7_149,plain,
    op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_145,refute_7_148]) ).

cnf(refute_7_150,plain,
    ( h3(e10) != op2(e22,op2(e22,e22))
    | op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
    | h3(e10) = op2(e22,h3(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,h3(e11))) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).

cnf(refute_7_151,plain,
    ( h3(e10) != op2(e22,op2(e22,e22))
    | h3(e10) = op2(e22,h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_7_149,refute_7_150]) ).

cnf(refute_7_152,plain,
    h3(e10) = op2(e22,h3(e11)),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_7_142,refute_7_151]) ).

cnf(refute_7_153,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_7_39]) ).

cnf(refute_7_154,plain,
    ( op2(e20,e22) != h3(e11)
    | op2(e22,e22) != h3(e11)
    | op2(e20,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).

cnf(refute_7_155,plain,
    ( op2(e20,e22) != h3(e11)
    | op2(e20,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_145,refute_7_154]) ).

cnf(refute_7_156,plain,
    op2(e20,e22) != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_7_155,refute_7_153]) ).

cnf(refute_7_157,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(canonicalize,[],[normalize_7_40]) ).

cnf(refute_7_158,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).

cnf(refute_7_159,plain,
    ( op2(e22,e22) != e20
    | h3(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_145,refute_7_158]) ).

cnf(refute_7_160,plain,
    ( h3(e11) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_7_157,refute_7_159]) ).

cnf(refute_7_161,plain,
    ( op2(e22,e22) != e21
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).

cnf(refute_7_162,plain,
    ( op2(e22,e22) != e21
    | h3(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_145,refute_7_161]) ).

cnf(refute_7_163,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_7_160,refute_7_162]) ).

cnf(refute_7_164,plain,
    ( op2(e22,e22) != e22
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).

cnf(refute_7_165,plain,
    ( op2(e22,e22) != e22
    | h3(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_145,refute_7_164]) ).

cnf(refute_7_166,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_7_163,refute_7_165]) ).

cnf(refute_7_167,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e11))]]) ).

cnf(refute_7_168,plain,
    ( op2(e22,e22) != e23
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_145,refute_7_167]) ).

cnf(refute_7_169,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e22
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_166,refute_7_168]) ).

cnf(refute_7_170,plain,
    op2(e22,e22) != e22,
    inference(canonicalize,[],[normalize_7_41]) ).

cnf(refute_7_171,plain,
    ( h3(e11) != e22
    | op2(e22,e22) != h3(e11)
    | op2(e22,e22) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e22)]]) ).

cnf(refute_7_172,plain,
    ( h3(e11) != e22
    | op2(e22,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_145,refute_7_171]) ).

cnf(refute_7_173,plain,
    h3(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_7_172,refute_7_170]) ).

cnf(refute_7_174,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_7_169,refute_7_173]) ).

cnf(refute_7_175,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(canonicalize,[],[normalize_7_42]) ).

cnf(refute_7_176,plain,
    ( op2(e22,e21) != h3(e11)
    | op2(e22,e22) != h3(e11)
    | op2(e22,e21) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).

cnf(refute_7_177,plain,
    ( op2(e22,e21) != h3(e11)
    | op2(e22,e21) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_145,refute_7_176]) ).

cnf(refute_7_178,plain,
    op2(e22,e21) != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_7_177,refute_7_175]) ).

cnf(refute_7_179,plain,
    ( e21 != h3(e11)
    | op2(e22,e21) != e21
    | op2(e22,e21) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[1],$fot(h3(e11))]]) ).

cnf(refute_7_180,plain,
    ( e21 != h3(e11)
    | op2(e22,e21) = h3(e11) ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_7_80,refute_7_179]) ).

cnf(refute_7_181,plain,
    e21 != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_7_180,refute_7_178]) ).

cnf(refute_7_182,plain,
    ( h3(e11) != e21
    | e21 = h3(e11) ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(h3(e11))),bind(Y,$fot(e21))]]) ).

cnf(refute_7_183,plain,
    h3(e11) != e21,
    inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_7_182,refute_7_181]) ).

cnf(refute_7_184,plain,
    ( h3(e11) = e20
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_7_174,refute_7_183]) ).

cnf(refute_7_185,plain,
    ( h3(e11) != e20
    | op2(e20,e22) != e20
    | op2(e20,e22) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_7_186,plain,
    ( op2(e20,e22) != e20
    | h3(e11) = e23
    | op2(e20,e22) = h3(e11) ),
    inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_7_184,refute_7_185]) ).

cnf(refute_7_187,plain,
    ( op2(e20,e22) != e20
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_7_186,refute_7_156]) ).

cnf(refute_7_188,plain,
    h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
    inference(canonicalize,[],[normalize_7_43]) ).

cnf(refute_7_189,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_7_44]) ).

cnf(refute_7_190,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_7_22:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_7_191,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_7_25,refute_7_190]) ).

cnf(refute_7_192,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_7_30,refute_7_191]) ).

cnf(refute_7_193,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_7_194,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_7_192,refute_7_193]) ).

cnf(refute_7_195,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_7_189,refute_7_194]) ).

cnf(refute_7_196,plain,
    op2(e20,h4(e12)) = op2(e20,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).

cnf(refute_7_197,plain,
    ( h4(e12) != e22
    | op2(e20,h4(e12)) != op2(e20,h4(e12))
    | op2(e20,h4(e12)) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_7_198,plain,
    ( h4(e12) != e22
    | op2(e20,h4(e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_7_196,refute_7_197]) ).

cnf(refute_7_199,plain,
    op2(e20,h4(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_7_195,refute_7_198]) ).

cnf(refute_7_200,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_7_45]) ).

cnf(refute_7_201,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_7_202,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_7_16,refute_7_201]) ).

cnf(refute_7_203,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_7_200,refute_7_202]) ).

cnf(refute_7_204,plain,
    op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).

cnf(refute_7_205,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
    | op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).

cnf(refute_7_206,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_7_204,refute_7_205]) ).

cnf(refute_7_207,plain,
    op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_203,refute_7_206]) ).

cnf(refute_7_208,plain,
    ( op2(e20,h4(e12)) != op2(e20,e22)
    | op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
    | op2(h4(e10),h4(e12)) = op2(e20,e22) ),
    inference(subst,[],[refute_7_22:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).

cnf(refute_7_209,plain,
    ( op2(e20,h4(e12)) != op2(e20,e22)
    | op2(h4(e10),h4(e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_7_207,refute_7_208]) ).

cnf(refute_7_210,plain,
    op2(h4(e10),h4(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_7_199,refute_7_209]) ).

cnf(refute_7_211,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | op2(h4(e10),h4(e12)) != op2(e20,e22)
    | h4(op1(e10,e12)) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).

cnf(refute_7_212,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_7_210,refute_7_211]) ).

cnf(refute_7_213,plain,
    h4(op1(e10,e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_7_188,refute_7_212]) ).

cnf(refute_7_214,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(canonicalize,[],[normalize_7_47]) ).

cnf(refute_7_215,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_7_49]) ).

cnf(refute_7_216,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_7_50]) ).

cnf(refute_7_217,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_7_218,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_7_216,refute_7_217]) ).

cnf(refute_7_219,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_7_220,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_7_221,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_7_219,refute_7_220]) ).

cnf(refute_7_222,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_218,refute_7_221]) ).

cnf(refute_7_223,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_7_51]) ).

cnf(refute_7_224,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_7_225,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_7_223,refute_7_224]) ).

cnf(refute_7_226,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_7_227,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_7_228,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_7_226,refute_7_227]) ).

cnf(refute_7_229,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_7_225,refute_7_228]) ).

cnf(refute_7_230,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_7_22:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_7_231,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_7_229,refute_7_230]) ).

cnf(refute_7_232,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_7_222,refute_7_231]) ).

cnf(refute_7_233,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_7_234,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_7_232,refute_7_233]) ).

cnf(refute_7_235,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_7_215,refute_7_234]) ).

cnf(refute_7_236,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_7_237,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_7_235,refute_7_236]) ).

cnf(refute_7_238,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) != e12
    | e12 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e12)]]) ).

cnf(refute_7_239,plain,
    ( op1(e10,e11) != e10
    | e12 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_7_237,refute_7_238]) ).

cnf(refute_7_240,plain,
    ( e12 = e10
    | op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_7_214,refute_7_239]) ).

cnf(refute_7_241,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_7_53]) ).

cnf(refute_7_242,plain,
    ( e12 != e10
    | e10 = e12 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).

cnf(refute_7_243,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_7_242,refute_7_241]) ).

cnf(refute_7_244,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_7_240,refute_7_243]) ).

cnf(refute_7_245,plain,
    op1(e10,e10) != e10,
    inference(canonicalize,[],[normalize_7_55]) ).

cnf(refute_7_246,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_7_244,refute_7_245]) ).

cnf(refute_7_247,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(canonicalize,[],[normalize_7_56]) ).

cnf(refute_7_248,plain,
    op2(e20,h4(e13)) = op2(e20,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).

cnf(refute_7_249,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) != op2(e20,h4(e13))
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_7_250,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_7_248,refute_7_249]) ).

cnf(refute_7_251,plain,
    op2(e20,h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_105,refute_7_250]) ).

cnf(refute_7_252,plain,
    op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_7_253,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_7_254,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_7_252,refute_7_253]) ).

cnf(refute_7_255,plain,
    op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_203,refute_7_254]) ).

cnf(refute_7_256,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(subst,[],[refute_7_22:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).

cnf(refute_7_257,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_7_255,refute_7_256]) ).

cnf(refute_7_258,plain,
    op2(h4(e10),h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_7_251,refute_7_257]) ).

cnf(refute_7_259,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) != op2(e20,e23)
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_7_260,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_7_258,refute_7_259]) ).

cnf(refute_7_261,plain,
    h4(op1(e10,e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_7_247,refute_7_260]) ).

cnf(refute_7_262,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_7_58]) ).

cnf(refute_7_263,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_7_60]) ).

cnf(refute_7_264,plain,
    ( op1(e10,e13) != e11
    | op1(e13,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_7_265,plain,
    ( op1(e10,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_218,refute_7_264]) ).

cnf(refute_7_266,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_7_265,refute_7_263]) ).

cnf(refute_7_267,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_7_262,refute_7_266]) ).

cnf(refute_7_268,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(canonicalize,[],[normalize_7_61]) ).

cnf(refute_7_269,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_7_270,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e11) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_7_237,refute_7_269]) ).

cnf(refute_7_271,plain,
    e12 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_7_270,refute_7_268]) ).

cnf(refute_7_272,plain,
    ( op1(e10,e13) != e12
    | e12 = op1(e10,e13) ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_7_273,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_7_272,refute_7_271]) ).

cnf(refute_7_274,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_7_267,refute_7_273]) ).

cnf(refute_7_275,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | op1(e10,e13) != e10
    | h4(e10) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e10)]]) ).

cnf(refute_7_276,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | h4(e10) = op2(e20,e23)
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_7_274,refute_7_275]) ).

cnf(refute_7_277,plain,
    ( h4(e10) = op2(e20,e23)
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_7_261,refute_7_276]) ).

cnf(refute_7_278,plain,
    ( h4(e10) != e20
    | h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e23)) ),[0],$fot(e20)]]) ).

cnf(refute_7_279,plain,
    ( h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_203,refute_7_278]) ).

cnf(refute_7_280,plain,
    ( e20 = op2(e20,e23)
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e23)) )],[refute_7_277,refute_7_279]) ).

cnf(refute_7_281,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(canonicalize,[],[normalize_7_62]) ).

cnf(refute_7_282,plain,
    ( h2(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_7_94,refute_7_281]) ).

cnf(refute_7_283,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_7_284,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_92,refute_7_283]) ).

cnf(refute_7_285,plain,
    ( e23 != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_284,refute_7_282]) ).

cnf(refute_7_286,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_7_287,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_286,refute_7_285]) ).

cnf(refute_7_288,plain,
    ( e20 != op2(e20,e23)
    | op2(e20,e23) = e20 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e23)))]]) ).

cnf(refute_7_289,plain,
    e20 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_7_288,refute_7_287]) ).

cnf(refute_7_290,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_7_280,refute_7_289]) ).

cnf(refute_7_291,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e13)]]) ).

cnf(refute_7_292,plain,
    ( op1(e10,e13) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_7_290,refute_7_291]) ).

cnf(refute_7_293,plain,
    ( e13 = e10
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_7_246,refute_7_292]) ).

cnf(refute_7_294,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_7_63]) ).

cnf(refute_7_295,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_7_296,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_7_295,refute_7_294]) ).

cnf(refute_7_297,plain,
    op1(e10,e12) = e10,
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_7_293,refute_7_296]) ).

cnf(refute_7_298,plain,
    h4(op1(e10,e12)) = h4(op1(e10,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).

cnf(refute_7_299,plain,
    ( h4(op1(e10,e12)) != h4(op1(e10,e12))
    | op1(e10,e12) != e10
    | h4(op1(e10,e12)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).

cnf(refute_7_300,plain,
    ( op1(e10,e12) != e10
    | h4(op1(e10,e12)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_7_298,refute_7_299]) ).

cnf(refute_7_301,plain,
    h4(op1(e10,e12)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_7_297,refute_7_300]) ).

cnf(refute_7_302,plain,
    ( h4(e10) != e20
    | h4(op1(e10,e12)) != h4(e10)
    | h4(op1(e10,e12)) = e20 ),
    inference(subst,[],[refute_7_22:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_7_303,plain,
    ( h4(e10) != e20
    | h4(op1(e10,e12)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_7_301,refute_7_302]) ).

cnf(refute_7_304,plain,
    h4(op1(e10,e12)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_203,refute_7_303]) ).

cnf(refute_7_305,plain,
    ( h4(op1(e10,e12)) != e20
    | h4(op1(e10,e12)) != op2(e20,e22)
    | e20 = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(e20)]]) ).

cnf(refute_7_306,plain,
    ( h4(op1(e10,e12)) != op2(e20,e22)
    | e20 = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e20) )],[refute_7_304,refute_7_305]) ).

cnf(refute_7_307,plain,
    e20 = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_7_213,refute_7_306]) ).

cnf(refute_7_308,plain,
    ( e20 != op2(e20,e22)
    | op2(e20,e22) = e20 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).

cnf(refute_7_309,plain,
    op2(e20,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_7_307,refute_7_308]) ).

cnf(refute_7_310,plain,
    ( e20 != e20
    | op2(e20,e22) != e20
    | op2(e20,e22) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_7_311,plain,
    ( e20 != e20
    | op2(e20,e22) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_309,refute_7_310]) ).

cnf(refute_7_312,plain,
    ( e20 != e20
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_311,refute_7_187]) ).

cnf(refute_7_313,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_7_314,plain,
    h3(e11) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_7_313,refute_7_312]) ).

cnf(refute_7_315,plain,
    op2(e22,h3(e11)) = op2(e22,h3(e11)),
    introduced(tautology,[refl,[$fot(op2(e22,h3(e11)))]]) ).

cnf(refute_7_316,plain,
    ( h3(e11) != e23
    | op2(e22,h3(e11)) != op2(e22,h3(e11))
    | op2(e22,h3(e11)) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) ),[1,1],$fot(e23)]]) ).

cnf(refute_7_317,plain,
    ( h3(e11) != e23
    | op2(e22,h3(e11)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) )],[refute_7_315,refute_7_316]) ).

cnf(refute_7_318,plain,
    op2(e22,h3(e11)) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_7_314,refute_7_317]) ).

cnf(refute_7_319,plain,
    ( h3(e10) != op2(e22,h3(e11))
    | op2(e22,h3(e11)) != op2(e22,e23)
    | h3(e10) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,e23)) ),[0],$fot(op2(e22,h3(e11)))]]) ).

cnf(refute_7_320,plain,
    ( h3(e10) != op2(e22,h3(e11))
    | h3(e10) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,e23)) )],[refute_7_318,refute_7_319]) ).

cnf(refute_7_321,plain,
    h3(e10) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_7_152,refute_7_320]) ).

cnf(refute_7_322,plain,
    ( h3(e10) != op2(e22,e23)
    | op2(e22,e23) = h3(e10) ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e23)))]]) ).

cnf(refute_7_323,plain,
    op2(e22,e23) = h3(e10),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_7_321,refute_7_322]) ).

cnf(refute_7_324,plain,
    ( op2(e22,e23) != e22
    | op2(e22,e23) != h3(e10)
    | h3(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0],$fot(h3(e10))]]) ).

cnf(refute_7_325,plain,
    ( op2(e22,e23) != e22
    | h3(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_7_323,refute_7_324]) ).

cnf(refute_7_326,plain,
    ( h2(e10) = e22
    | h3(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_7_141,refute_7_325]) ).

cnf(refute_7_327,plain,
    ( op2(e21,e21) != e23
    | op2(e22,e23) != e22 ),
    inference(canonicalize,[],[normalize_7_64]) ).

cnf(refute_7_328,plain,
    ( h2(e11) != e23
    | op2(e22,e23) != e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_7_94,refute_7_327]) ).

cnf(refute_7_329,plain,
    ( e23 != e23
    | op2(e22,e23) != e22 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_284,refute_7_328]) ).

cnf(refute_7_330,plain,
    op2(e22,e23) != e22,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_286,refute_7_329]) ).

cnf(refute_7_331,plain,
    ( h3(e10) != e22
    | op2(e22,e23) != h3(e10)
    | op2(e22,e23) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),h3(e10)) ),[1],$fot(e22)]]) ).

cnf(refute_7_332,plain,
    ( h3(e10) != e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_7_323,refute_7_331]) ).

cnf(refute_7_333,plain,
    h3(e10) != e22,
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_7_332,refute_7_330]) ).

cnf(refute_7_334,plain,
    h2(e10) = e22,
    inference(resolve,[$cnf( $equal(h3(e10),e22) )],[refute_7_326,refute_7_333]) ).

cnf(refute_7_335,plain,
    ( h2(e10) != e22
    | h4(op1(e11,e13)) != e22
    | h4(op1(e11,e13)) = h2(e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),h2(e10)) ),[1],$fot(e22)]]) ).

cnf(refute_7_336,plain,
    ( h4(op1(e11,e13)) != e22
    | h4(op1(e11,e13)) = h2(e10) ),
    inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_7_334,refute_7_335]) ).

cnf(refute_7_337,plain,
    h4(op1(e11,e13)) != e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h2(e10)) )],[refute_7_336,refute_7_126]) ).

cnf(refute_7_338,plain,
    ( op1(e11,e11) != e13
    | op1(e12,e13) != e12 ),
    inference(canonicalize,[],[normalize_7_65]) ).

cnf(refute_7_339,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_7_66]) ).

cnf(refute_7_340,plain,
    ( op1(e10,e11) != e12
    | op1(e10,e11) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).

cnf(refute_7_341,plain,
    ( op1(e10,e11) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_7_237,refute_7_340]) ).

cnf(refute_7_342,plain,
    ( e12 = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_7_339,refute_7_341]) ).

cnf(refute_7_343,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_7_67]) ).

cnf(refute_7_344,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_7_345,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_7_237,refute_7_344]) ).

cnf(refute_7_346,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_7_343,refute_7_345]) ).

cnf(refute_7_347,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_7_68]) ).

cnf(refute_7_348,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_7_69]) ).

cnf(refute_7_349,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_7_350,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_218,refute_7_349]) ).

cnf(refute_7_351,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_7_350,refute_7_348]) ).

cnf(refute_7_352,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_7_347,refute_7_351]) ).

cnf(refute_7_353,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_7_70]) ).

cnf(refute_7_354,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_7_355,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_7_237,refute_7_354]) ).

cnf(refute_7_356,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_7_355,refute_7_353]) ).

cnf(refute_7_357,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_7_358,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_7_357,refute_7_356]) ).

cnf(refute_7_359,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_7_352,refute_7_358]) ).

cnf(refute_7_360,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_7_71]) ).

cnf(refute_7_361,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_7_362,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_218,refute_7_361]) ).

cnf(refute_7_363,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_362,refute_7_360]) ).

cnf(refute_7_364,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_7_365,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_7_364,refute_7_363]) ).

cnf(refute_7_366,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_7_359,refute_7_365]) ).

cnf(refute_7_367,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_7_368,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_7_366,refute_7_367]) ).

cnf(refute_7_369,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_7_346,refute_7_368]) ).

cnf(refute_7_370,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_7_72]) ).

cnf(refute_7_371,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_7_369,refute_7_370]) ).

cnf(refute_7_372,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_7_73]) ).

cnf(refute_7_373,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_7_374,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_7_373,refute_7_372]) ).

cnf(refute_7_375,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_7_371,refute_7_374]) ).

cnf(refute_7_376,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_7_74]) ).

cnf(refute_7_377,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_7_375,refute_7_376]) ).

cnf(refute_7_378,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[0],$fot(e11)]]) ).

cnf(refute_7_379,plain,
    ( op1(e12,e11) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_7_377,refute_7_378]) ).

cnf(refute_7_380,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_7_342,refute_7_379]) ).

cnf(refute_7_381,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_7_382,plain,
    ( op1(e13,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_7_366,refute_7_381]) ).

cnf(refute_7_383,plain,
    ( e10 = e13
    | e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_7_380,refute_7_382]) ).

cnf(refute_7_384,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_7_383,refute_7_294]) ).

cnf(refute_7_385,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_7_75]) ).

cnf(refute_7_386,plain,
    ( e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_7_384,refute_7_385]) ).

cnf(refute_7_387,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_7_76]) ).

cnf(refute_7_388,plain,
    op1(e11,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_7_386,refute_7_387]) ).

cnf(refute_7_389,plain,
    ( e13 != e13
    | op1(e11,e11) != e13
    | op1(e11,e11) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[1],$fot(e13)]]) ).

cnf(refute_7_390,plain,
    ( e13 != e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_7_388,refute_7_389]) ).

cnf(refute_7_391,plain,
    ( e13 != e13
    | op1(e12,e13) != e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_7_390,refute_7_338]) ).

cnf(refute_7_392,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_7_393,plain,
    op1(e12,e13) != e12,
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_7_392,refute_7_391]) ).

cnf(refute_7_394,plain,
    ( op1(e10,e13) = e12
    | op1(e11,e13) = e12
    | op1(e12,e13) = e12
    | op1(e13,e13) = e12 ),
    inference(canonicalize,[],[normalize_7_77]) ).

cnf(refute_7_395,plain,
    ( op1(e13,e13) != e11
    | op1(e13,e13) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e11)]]) ).

cnf(refute_7_396,plain,
    ( op1(e13,e13) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_218,refute_7_395]) ).

cnf(refute_7_397,plain,
    ( e11 = e12
    | op1(e10,e13) = e12
    | op1(e11,e13) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_7_394,refute_7_396]) ).

cnf(refute_7_398,plain,
    ( op1(e10,e13) = e12
    | op1(e11,e13) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_7_397,refute_7_372]) ).

cnf(refute_7_399,plain,
    ( op1(e11,e13) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_7_398,refute_7_273]) ).

cnf(refute_7_400,plain,
    ( e12 != e12
    | op1(e12,e13) != e12
    | op1(e12,e13) = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e12) ),[0,0],$fot(e12)]]) ).

cnf(refute_7_401,plain,
    ( e12 != e12
    | op1(e11,e13) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_7_399,refute_7_400]) ).

cnf(refute_7_402,plain,
    ( e12 != e12
    | op1(e11,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_7_401,refute_7_393]) ).

cnf(refute_7_403,plain,
    e12 = e12,
    introduced(tautology,[refl,[$fot(e12)]]) ).

cnf(refute_7_404,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,e12) )],[refute_7_403,refute_7_402]) ).

cnf(refute_7_405,plain,
    h4(op1(e11,e13)) = h4(op1(e11,e13)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).

cnf(refute_7_406,plain,
    ( h4(op1(e11,e13)) != h4(op1(e11,e13))
    | op1(e11,e13) != e12
    | h4(op1(e11,e13)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) ),[1,0],$fot(e12)]]) ).

cnf(refute_7_407,plain,
    ( op1(e11,e13) != e12
    | h4(op1(e11,e13)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) )],[refute_7_405,refute_7_406]) ).

cnf(refute_7_408,plain,
    h4(op1(e11,e13)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_7_404,refute_7_407]) ).

cnf(refute_7_409,plain,
    ( h4(e12) != e22
    | h4(op1(e11,e13)) != h4(e12)
    | h4(op1(e11,e13)) = e22 ),
    inference(subst,[],[refute_7_22:[bind(X,$fot(h4(op1(e11,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_7_410,plain,
    ( h4(e12) != e22
    | h4(op1(e11,e13)) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(e12)) )],[refute_7_408,refute_7_409]) ).

cnf(refute_7_411,plain,
    h4(op1(e11,e13)) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_7_195,refute_7_410]) ).

cnf(refute_7_412,plain,
    ( e22 != e22
    | h4(op1(e11,e13)) != e22
    | h4(op1(e11,e13)) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),e22) ),[1],$fot(e22)]]) ).

cnf(refute_7_413,plain,
    ( e22 != e22
    | h4(op1(e11,e13)) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e22) )],[refute_7_411,refute_7_412]) ).

cnf(refute_7_414,plain,
    e22 != e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e22) )],[refute_7_413,refute_7_337]) ).

cnf(refute_7_415,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_7_416,plain,
    $false,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_415,refute_7_414]) ).

fof(negate_8_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
     => h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
    inference(negate,[],[subgoal_8]) ).

fof(normalize_8_0,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_8_0]) ).

fof(normalize_8_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_8_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_8_1]) ).

fof(normalize_8_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_8_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_8_3]) ).

fof(normalize_8_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_8_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_8_5]) ).

fof(normalize_8_7,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_8_0,normalize_8_2,normalize_8_4,normalize_8_6]) ).

fof(normalize_8_8,plain,
    h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
    inference(conjunct,[],[normalize_8_7]) ).

fof(normalize_8_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_8_10,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_8_9]) ).

fof(normalize_8_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_8_12,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_8_11]) ).

fof(normalize_8_13,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_8_9]) ).

fof(normalize_8_14,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_8_11]) ).

fof(normalize_8_15,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_8_11]) ).

fof(normalize_8_16,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_8_17,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    inference(conjunct,[],[normalize_8_16]) ).

fof(normalize_8_18,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_8_16]) ).

fof(normalize_8_19,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_8_3]) ).

fof(normalize_8_20,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_8_21,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_8_20]) ).

fof(normalize_8_22,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_8_23,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_8_22]) ).

fof(normalize_8_24,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_8_22]) ).

fof(normalize_8_25,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_8_26,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_8_25]) ).

fof(normalize_8_27,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_8_28,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_8_27]) ).

fof(normalize_8_29,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_8_27]) ).

fof(normalize_8_30,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_8_25]) ).

fof(normalize_8_31,plain,
    h3(e11) = op2(e22,e22),
    inference(conjunct,[],[normalize_8_5]) ).

fof(normalize_8_32,plain,
    op2(e22,e22) != e22,
    inference(conjunct,[],[normalize_8_25]) ).

fof(normalize_8_33,plain,
    h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
    inference(conjunct,[],[normalize_8_3]) ).

fof(normalize_8_34,plain,
    h2(e10) = op2(e21,op2(e21,e21)),
    inference(conjunct,[],[normalize_8_3]) ).

fof(normalize_8_35,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_8_16]) ).

fof(normalize_8_36,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_8_27]) ).

fof(normalize_8_37,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_8_27]) ).

fof(normalize_8_38,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_8_27]) ).

fof(normalize_8_39,plain,
    ( op2(e21,e21) != e23
    | op2(e22,e23) != e22 ),
    inference(conjunct,[],[normalize_8_25]) ).

fof(normalize_8_40,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    inference(conjunct,[],[normalize_8_16]) ).

fof(normalize_8_41,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(conjunct,[],[normalize_8_22]) ).

fof(normalize_8_42,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(conjunct,[],[normalize_8_22]) ).

fof(normalize_8_43,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_8_44,plain,
    ( op1(e11,e11) != e13
    | op1(e12,e13) != e12 ),
    inference(conjunct,[],[normalize_8_43]) ).

fof(normalize_8_45,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_8_46,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_8_45]) ).

fof(normalize_8_47,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_8_48,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_8_47]) ).

fof(normalize_8_49,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_8_47]) ).

fof(normalize_8_50,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_8_47]) ).

fof(normalize_8_51,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_8_45]) ).

fof(normalize_8_52,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_8_53,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_8_52]) ).

fof(normalize_8_54,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_8_55,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_8_54]) ).

fof(normalize_8_56,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_8_54]) ).

fof(normalize_8_57,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_8_43]) ).

fof(normalize_8_58,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_8_59,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_8_58]) ).

fof(normalize_8_60,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_8_58]) ).

fof(normalize_8_61,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_8_43]) ).

fof(normalize_8_62,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_8_58]) ).

fof(normalize_8_63,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_8_58]) ).

fof(normalize_8_64,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_8_58]) ).

fof(normalize_8_65,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference(conjunct,[],[normalize_8_45]) ).

fof(normalize_8_66,plain,
    op1(e12,e12) != e12,
    inference(conjunct,[],[normalize_8_43]) ).

cnf(refute_8_0,plain,
    h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
    inference(canonicalize,[],[normalize_8_8]) ).

cnf(refute_8_1,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_8_10]) ).

cnf(refute_8_2,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_8_12]) ).

cnf(refute_8_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_8_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_8_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_8_3,refute_8_4]) ).

cnf(refute_8_6,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_8_7,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_8_2,refute_8_6]) ).

cnf(refute_8_8,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_8_9,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_8_7,refute_8_8]) ).

cnf(refute_8_10,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_8_1,refute_8_9]) ).

cnf(refute_8_11,plain,
    op2(e22,h4(e10)) = op2(e22,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e22,h4(e10)))]]) ).

cnf(refute_8_12,plain,
    ( h4(e10) != e20
    | op2(e22,h4(e10)) != op2(e22,h4(e10))
    | op2(e22,h4(e10)) = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) ),[1,1],$fot(e20)]]) ).

cnf(refute_8_13,plain,
    ( h4(e10) != e20
    | op2(e22,h4(e10)) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) )],[refute_8_11,refute_8_12]) ).

cnf(refute_8_14,plain,
    op2(e22,h4(e10)) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_10,refute_8_13]) ).

cnf(refute_8_15,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_8_13]) ).

cnf(refute_8_16,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_8_14]) ).

cnf(refute_8_17,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_8_15]) ).

cnf(refute_8_18,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_8_19,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_8_17,refute_8_18]) ).

cnf(refute_8_20,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_8_21,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_8_22,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_8_20,refute_8_21]) ).

cnf(refute_8_23,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_19,refute_8_22]) ).

cnf(refute_8_24,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_8_25,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_8_26,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_8_24,refute_8_25]) ).

cnf(refute_8_27,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_8_7,refute_8_26]) ).

cnf(refute_8_28,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_8_29,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_5,refute_8_28]) ).

cnf(refute_8_30,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_8_29:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_8_31,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_8_27,refute_8_30]) ).

cnf(refute_8_32,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_8_23,refute_8_31]) ).

cnf(refute_8_33,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_8_34,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_8_32,refute_8_33]) ).

cnf(refute_8_35,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_8_16,refute_8_34]) ).

cnf(refute_8_36,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_8_37,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_8_35,refute_8_36]) ).

cnf(refute_8_38,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_8_29:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_8_39,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_8_32,refute_8_38]) ).

cnf(refute_8_40,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_8_37,refute_8_39]) ).

cnf(refute_8_41,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_8_42,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_8_40,refute_8_41]) ).

cnf(refute_8_43,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_8_15,refute_8_42]) ).

cnf(refute_8_44,plain,
    op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).

cnf(refute_8_45,plain,
    ( h4(e12) != e22
    | op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
    | op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e22)]]) ).

cnf(refute_8_46,plain,
    ( h4(e12) != e22
    | op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_8_44,refute_8_45]) ).

cnf(refute_8_47,plain,
    op2(h4(e12),h4(e10)) = op2(e22,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_43,refute_8_46]) ).

cnf(refute_8_48,plain,
    ( op2(e22,h4(e10)) != op2(e22,e20)
    | op2(h4(e12),h4(e10)) != op2(e22,h4(e10))
    | op2(h4(e12),h4(e10)) = op2(e22,e20) ),
    inference(subst,[],[refute_8_29:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e22,h4(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).

cnf(refute_8_49,plain,
    ( op2(e22,h4(e10)) != op2(e22,e20)
    | op2(h4(e12),h4(e10)) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,h4(e10))) )],[refute_8_47,refute_8_48]) ).

cnf(refute_8_50,plain,
    op2(h4(e12),h4(e10)) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,e20)) )],[refute_8_14,refute_8_49]) ).

cnf(refute_8_51,plain,
    ( h4(op1(e12,e10)) != op2(e22,e20)
    | op2(h4(e12),h4(e10)) != op2(e22,e20)
    | h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) ),[1],$fot(op2(e22,e20))]]) ).

cnf(refute_8_52,plain,
    ( h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,e20)) )],[refute_8_50,refute_8_51]) ).

cnf(refute_8_53,plain,
    h4(op1(e12,e10)) != op2(e22,e20),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_8_52,refute_8_0]) ).

cnf(refute_8_54,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    inference(canonicalize,[],[normalize_8_17]) ).

cnf(refute_8_55,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_8_18]) ).

cnf(refute_8_56,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_8_57,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_8_37,refute_8_56]) ).

cnf(refute_8_58,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_8_55,refute_8_57]) ).

cnf(refute_8_59,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_8_19]) ).

cnf(refute_8_60,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_8_61,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_8_59,refute_8_60]) ).

cnf(refute_8_62,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_8_63,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_61,refute_8_62]) ).

cnf(refute_8_64,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_8_58,refute_8_63]) ).

cnf(refute_8_65,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_8_21]) ).

cnf(refute_8_66,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_8_23]) ).

cnf(refute_8_67,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_8_68,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_19,refute_8_67]) ).

cnf(refute_8_69,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_8_68,refute_8_66]) ).

cnf(refute_8_70,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_8_65,refute_8_69]) ).

cnf(refute_8_71,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_8_24]) ).

cnf(refute_8_72,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_8_73,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_8_37,refute_8_72]) ).

cnf(refute_8_74,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_8_73,refute_8_71]) ).

cnf(refute_8_75,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_8_76,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_8_75,refute_8_74]) ).

cnf(refute_8_77,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_8_70,refute_8_76]) ).

cnf(refute_8_78,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_8_26]) ).

cnf(refute_8_79,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_8_80,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_19,refute_8_79]) ).

cnf(refute_8_81,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_80,refute_8_78]) ).

cnf(refute_8_82,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_8_83,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_82,refute_8_81]) ).

cnf(refute_8_84,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_8_77,refute_8_83]) ).

cnf(refute_8_85,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_8_86,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_8_84,refute_8_85]) ).

cnf(refute_8_87,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_8_64,refute_8_86]) ).

cnf(refute_8_88,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_8_28]) ).

cnf(refute_8_89,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_8_87,refute_8_88]) ).

cnf(refute_8_90,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_8_29]) ).

cnf(refute_8_91,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_8_92,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_91,refute_8_90]) ).

cnf(refute_8_93,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_8_89,refute_8_92]) ).

cnf(refute_8_94,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_8_30]) ).

cnf(refute_8_95,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_8_96,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_61,refute_8_95]) ).

cnf(refute_8_97,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_8_96,refute_8_94]) ).

cnf(refute_8_98,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_8_93,refute_8_97]) ).

cnf(refute_8_99,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0],$fot(e21)]]) ).

cnf(refute_8_100,plain,
    ( op2(e22,e21) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_8_98,refute_8_99]) ).

cnf(refute_8_101,plain,
    ( e21 = e22
    | op2(e22,e20) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_8_54,refute_8_100]) ).

cnf(refute_8_102,plain,
    h3(e11) = op2(e22,e22),
    inference(canonicalize,[],[normalize_8_31]) ).

cnf(refute_8_103,plain,
    ( h3(e11) != op2(e22,e22)
    | op2(e22,e22) = h3(e11) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_8_104,plain,
    op2(e22,e22) = h3(e11),
    inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_8_102,refute_8_103]) ).

cnf(refute_8_105,plain,
    ( op2(e22,e22) != e22
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).

cnf(refute_8_106,plain,
    ( op2(e22,e22) != e22
    | h3(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_8_104,refute_8_105]) ).

cnf(refute_8_107,plain,
    ( e21 = e22
    | h3(e11) = e22
    | op2(e22,e20) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_8_101,refute_8_106]) ).

cnf(refute_8_108,plain,
    ( h3(e11) = e22
    | op2(e22,e20) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_107,refute_8_90]) ).

cnf(refute_8_109,plain,
    op2(e22,e22) != e22,
    inference(canonicalize,[],[normalize_8_32]) ).

cnf(refute_8_110,plain,
    ( h3(e11) != e22
    | op2(e22,e22) != h3(e11)
    | op2(e22,e22) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e22)]]) ).

cnf(refute_8_111,plain,
    ( h3(e11) != e22
    | op2(e22,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_8_104,refute_8_110]) ).

cnf(refute_8_112,plain,
    h3(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_8_111,refute_8_109]) ).

cnf(refute_8_113,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_8_108,refute_8_112]) ).

cnf(refute_8_114,plain,
    h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
    inference(canonicalize,[],[normalize_8_33]) ).

cnf(refute_8_115,plain,
    op2(h2(e10),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e10),op2(e21,e21)))]]) ).

cnf(refute_8_116,plain,
    ( op2(e21,e21) != h2(e11)
    | op2(h2(e10),op2(e21,e21)) != op2(h2(e10),op2(e21,e21))
    | op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).

cnf(refute_8_117,plain,
    ( op2(e21,e21) != h2(e11)
    | op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) )],[refute_8_115,refute_8_116]) ).

cnf(refute_8_118,plain,
    op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e11)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_61,refute_8_117]) ).

cnf(refute_8_119,plain,
    h2(e10) = op2(e21,op2(e21,e21)),
    inference(canonicalize,[],[normalize_8_34]) ).

cnf(refute_8_120,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) = h2(e10) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,op2(e21,e21))))]]) ).

cnf(refute_8_121,plain,
    op2(e21,op2(e21,e21)) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_8_119,refute_8_120]) ).

cnf(refute_8_122,plain,
    op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,op2(e21,e21)),op2(e21,e21)))]]) ).

cnf(refute_8_123,plain,
    ( op2(e21,op2(e21,e21)) != h2(e10)
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) != op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(op2(e21,op2(e21,e21)),op2(e21,e21))) ),[1,0],$fot(h2(e10))]]) ).

cnf(refute_8_124,plain,
    ( op2(e21,op2(e21,e21)) != h2(e10)
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(op2(e21,op2(e21,e21)),op2(e21,e21))) )],[refute_8_122,refute_8_123]) ).

cnf(refute_8_125,plain,
    op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),h2(e10)) )],[refute_8_121,refute_8_124]) ).

cnf(refute_8_126,plain,
    ( op2(h2(e10),op2(e21,e21)) != op2(h2(e10),h2(e11))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) != op2(h2(e10),op2(e21,e21))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    inference(subst,[],[refute_8_29:[bind(X,$fot(op2(op2(e21,op2(e21,e21)),op2(e21,e21)))),bind(Y,$fot(op2(h2(e10),op2(e21,e21)))),bind(Z,$fot(op2(h2(e10),h2(e11))))]]) ).

cnf(refute_8_127,plain,
    ( op2(h2(e10),op2(e21,e21)) != op2(h2(e10),h2(e11))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) )],[refute_8_125,refute_8_126]) ).

cnf(refute_8_128,plain,
    op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),h2(e11)),
    inference(resolve,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),h2(e11))) )],[refute_8_118,refute_8_127]) ).

cnf(refute_8_129,plain,
    ( h2(e12) != op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) != op2(h2(e10),h2(e11))
    | h2(e12) = op2(h2(e10),h2(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(h2(e10),h2(e11))) ),[0],$fot(op2(op2(e21,op2(e21,e21)),op2(e21,e21)))]]) ).

cnf(refute_8_130,plain,
    ( h2(e12) != op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    | h2(e12) = op2(h2(e10),h2(e11)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(h2(e10),h2(e11))) )],[refute_8_128,refute_8_129]) ).

cnf(refute_8_131,plain,
    h2(e12) = op2(h2(e10),h2(e11)),
    inference(resolve,[$cnf( $equal(h2(e12),op2(op2(e21,op2(e21,e21)),op2(e21,e21))) )],[refute_8_114,refute_8_130]) ).

cnf(refute_8_132,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_8_35]) ).

cnf(refute_8_133,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_8_134,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_8_37,refute_8_133]) ).

cnf(refute_8_135,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_8_132,refute_8_134]) ).

cnf(refute_8_136,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_8_137,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_61,refute_8_136]) ).

cnf(refute_8_138,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_8_135,refute_8_137]) ).

cnf(refute_8_139,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_8_140,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_8_98,refute_8_139]) ).

cnf(refute_8_141,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_8_138,refute_8_140]) ).

cnf(refute_8_142,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_8_143,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_8_84,refute_8_142]) ).

cnf(refute_8_144,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_8_141,refute_8_143]) ).

cnf(refute_8_145,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_8_36]) ).

cnf(refute_8_146,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_8_144,refute_8_145]) ).

cnf(refute_8_147,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_8_37]) ).

cnf(refute_8_148,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_146,refute_8_147]) ).

cnf(refute_8_149,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_8_38]) ).

cnf(refute_8_150,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_8_148,refute_8_149]) ).

cnf(refute_8_151,plain,
    op2(h2(e10),h2(e11)) = op2(h2(e10),h2(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e10),h2(e11)))]]) ).

cnf(refute_8_152,plain,
    ( h2(e11) != e23
    | op2(h2(e10),h2(e11)) != op2(h2(e10),h2(e11))
    | op2(h2(e10),h2(e11)) = op2(h2(e10),e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),h2(e11)),op2(h2(e10),h2(e11))) ),[1,1],$fot(e23)]]) ).

cnf(refute_8_153,plain,
    ( h2(e11) != e23
    | op2(h2(e10),h2(e11)) = op2(h2(e10),e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),h2(e11)),op2(h2(e10),h2(e11))) )],[refute_8_151,refute_8_152]) ).

cnf(refute_8_154,plain,
    op2(h2(e10),h2(e11)) = op2(h2(e10),e23),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_150,refute_8_153]) ).

cnf(refute_8_155,plain,
    ( h2(e12) != op2(h2(e10),h2(e11))
    | op2(h2(e10),h2(e11)) != op2(h2(e10),e23)
    | h2(e12) = op2(h2(e10),e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(h2(e10),e23)) ),[0],$fot(op2(h2(e10),h2(e11)))]]) ).

cnf(refute_8_156,plain,
    ( h2(e12) != op2(h2(e10),h2(e11))
    | h2(e12) = op2(h2(e10),e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),h2(e11)),op2(h2(e10),e23)) )],[refute_8_154,refute_8_155]) ).

cnf(refute_8_157,plain,
    h2(e12) = op2(h2(e10),e23),
    inference(resolve,[$cnf( $equal(h2(e12),op2(h2(e10),h2(e11))) )],[refute_8_131,refute_8_156]) ).

cnf(refute_8_158,plain,
    ( op2(e21,e21) != e23
    | op2(e22,e23) != e22 ),
    inference(canonicalize,[],[normalize_8_39]) ).

cnf(refute_8_159,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_8_160,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_61,refute_8_159]) ).

cnf(refute_8_161,plain,
    ( h2(e11) != e23
    | op2(e22,e23) != e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_8_160,refute_8_158]) ).

cnf(refute_8_162,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_8_163,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_150,refute_8_162]) ).

cnf(refute_8_164,plain,
    ( e23 != e23
    | op2(e22,e23) != e22 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_163,refute_8_161]) ).

cnf(refute_8_165,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_8_166,plain,
    op2(e22,e23) != e22,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_165,refute_8_164]) ).

cnf(refute_8_167,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    inference(canonicalize,[],[normalize_8_40]) ).

cnf(refute_8_168,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e23) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e21)]]) ).

cnf(refute_8_169,plain,
    ( op2(e23,e23) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_19,refute_8_168]) ).

cnf(refute_8_170,plain,
    ( e21 = e22
    | op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_8_167,refute_8_169]) ).

cnf(refute_8_171,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_170,refute_8_90]) ).

cnf(refute_8_172,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(canonicalize,[],[normalize_8_41]) ).

cnf(refute_8_173,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_8_174,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_8_37,refute_8_173]) ).

cnf(refute_8_175,plain,
    e22 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_8_174,refute_8_172]) ).

cnf(refute_8_176,plain,
    ( op2(e20,e23) != e22
    | e22 = op2(e20,e23) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_8_177,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_8_176,refute_8_175]) ).

cnf(refute_8_178,plain,
    ( op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_8_171,refute_8_177]) ).

cnf(refute_8_179,plain,
    op2(e21,e21) = e23,
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_150,refute_8_160]) ).

cnf(refute_8_180,plain,
    op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).

cnf(refute_8_181,plain,
    ( op2(e21,e21) != e23
    | op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(e23)]]) ).

cnf(refute_8_182,plain,
    ( op2(e21,e21) != e23
    | op2(e21,op2(e21,e21)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_8_180,refute_8_181]) ).

cnf(refute_8_183,plain,
    op2(e21,op2(e21,e21)) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_8_179,refute_8_182]) ).

cnf(refute_8_184,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) != op2(e21,e23)
    | h2(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,e23)) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).

cnf(refute_8_185,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | h2(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,e23)) )],[refute_8_183,refute_8_184]) ).

cnf(refute_8_186,plain,
    h2(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_8_119,refute_8_185]) ).

cnf(refute_8_187,plain,
    ( h2(e10) != op2(e21,e23)
    | op2(e21,e23) = h2(e10) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_8_188,plain,
    op2(e21,e23) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e23)) )],[refute_8_186,refute_8_187]) ).

cnf(refute_8_189,plain,
    ( op2(e21,e23) != e22
    | op2(e21,e23) != h2(e10)
    | h2(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h2(e10))]]) ).

cnf(refute_8_190,plain,
    ( op2(e21,e23) != e22
    | h2(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e10)) )],[refute_8_188,refute_8_189]) ).

cnf(refute_8_191,plain,
    ( h2(e10) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_8_178,refute_8_190]) ).

cnf(refute_8_192,plain,
    ( e22 != e22
    | op2(e22,e23) != e22
    | op2(e22,e23) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0,0],$fot(e22)]]) ).

cnf(refute_8_193,plain,
    ( e22 != e22
    | h2(e10) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_8_191,refute_8_192]) ).

cnf(refute_8_194,plain,
    ( e22 != e22
    | h2(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_8_193,refute_8_166]) ).

cnf(refute_8_195,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_8_196,plain,
    h2(e10) = e22,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_195,refute_8_194]) ).

cnf(refute_8_197,plain,
    op2(h2(e10),e23) = op2(h2(e10),e23),
    introduced(tautology,[refl,[$fot(op2(h2(e10),e23))]]) ).

cnf(refute_8_198,plain,
    ( h2(e10) != e22
    | op2(h2(e10),e23) != op2(h2(e10),e23)
    | op2(h2(e10),e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),e23),op2(h2(e10),e23)) ),[1,0],$fot(e22)]]) ).

cnf(refute_8_199,plain,
    ( h2(e10) != e22
    | op2(h2(e10),e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),e23),op2(h2(e10),e23)) )],[refute_8_197,refute_8_198]) ).

cnf(refute_8_200,plain,
    op2(h2(e10),e23) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_8_196,refute_8_199]) ).

cnf(refute_8_201,plain,
    ( h2(e12) != op2(h2(e10),e23)
    | op2(h2(e10),e23) != op2(e22,e23)
    | h2(e12) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(e22,e23)) ),[0],$fot(op2(h2(e10),e23))]]) ).

cnf(refute_8_202,plain,
    ( h2(e12) != op2(h2(e10),e23)
    | h2(e12) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),e23),op2(e22,e23)) )],[refute_8_200,refute_8_201]) ).

cnf(refute_8_203,plain,
    h2(e12) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h2(e12),op2(h2(e10),e23)) )],[refute_8_157,refute_8_202]) ).

cnf(refute_8_204,plain,
    ( h2(e12) != op2(e22,e23)
    | op2(e22,e23) = h2(e12) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e22,e23)))]]) ).

cnf(refute_8_205,plain,
    op2(e22,e23) = h2(e12),
    inference(resolve,[$cnf( $equal(h2(e12),op2(e22,e23)) )],[refute_8_203,refute_8_204]) ).

cnf(refute_8_206,plain,
    ( op2(e22,e23) != e22
    | op2(e22,e23) != h2(e12)
    | h2(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0],$fot(h2(e12))]]) ).

cnf(refute_8_207,plain,
    ( op2(e22,e23) != e22
    | h2(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h2(e12)) )],[refute_8_205,refute_8_206]) ).

cnf(refute_8_208,plain,
    ( h2(e12) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_8_113,refute_8_207]) ).

cnf(refute_8_209,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(canonicalize,[],[normalize_8_42]) ).

cnf(refute_8_210,plain,
    ( h2(e10) != op2(e22,e23)
    | op2(e21,e23) != h2(e10)
    | op2(e21,e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h2(e10)) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_8_211,plain,
    ( h2(e10) != op2(e22,e23)
    | op2(e21,e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e10)) )],[refute_8_188,refute_8_210]) ).

cnf(refute_8_212,plain,
    h2(e10) != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_8_211,refute_8_209]) ).

cnf(refute_8_213,plain,
    ( e22 != op2(e22,e23)
    | h2(e10) != e22
    | h2(e10) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e10),e22) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_8_214,plain,
    ( e22 != op2(e22,e23)
    | h2(e10) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_8_196,refute_8_213]) ).

cnf(refute_8_215,plain,
    ( e22 != h2(e12)
    | op2(e22,e23) != h2(e12)
    | e22 = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e23)) ),[1],$fot(h2(e12))]]) ).

cnf(refute_8_216,plain,
    ( e22 != h2(e12)
    | e22 = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h2(e12)) )],[refute_8_205,refute_8_215]) ).

cnf(refute_8_217,plain,
    ( e22 != h2(e12)
    | h2(e10) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_8_216,refute_8_214]) ).

cnf(refute_8_218,plain,
    e22 != h2(e12),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e23)) )],[refute_8_217,refute_8_212]) ).

cnf(refute_8_219,plain,
    ( h2(e12) != e22
    | e22 = h2(e12) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h2(e12))),bind(Y,$fot(e22))]]) ).

cnf(refute_8_220,plain,
    h2(e12) != e22,
    inference(resolve,[$cnf( $equal(e22,h2(e12)) )],[refute_8_219,refute_8_218]) ).

cnf(refute_8_221,plain,
    op2(e22,e20) = e22,
    inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_8_208,refute_8_220]) ).

cnf(refute_8_222,plain,
    ( h4(op1(e12,e10)) != e22
    | op2(e22,e20) != e22
    | h4(op1(e12,e10)) = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[1],$fot(e22)]]) ).

cnf(refute_8_223,plain,
    ( h4(op1(e12,e10)) != e22
    | h4(op1(e12,e10)) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_8_221,refute_8_222]) ).

cnf(refute_8_224,plain,
    h4(op1(e12,e10)) != e22,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_8_223,refute_8_53]) ).

cnf(refute_8_225,plain,
    ( op1(e11,e11) != e13
    | op1(e12,e13) != e12 ),
    inference(canonicalize,[],[normalize_8_44]) ).

cnf(refute_8_226,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_8_46]) ).

cnf(refute_8_227,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_8_48]) ).

cnf(refute_8_228,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_8_49]) ).

cnf(refute_8_229,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_8_230,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_8_228,refute_8_229]) ).

cnf(refute_8_231,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_8_232,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_8_233,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_8_231,refute_8_232]) ).

cnf(refute_8_234,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_230,refute_8_233]) ).

cnf(refute_8_235,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_8_50]) ).

cnf(refute_8_236,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_8_237,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_8_235,refute_8_236]) ).

cnf(refute_8_238,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_8_239,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_8_240,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_8_238,refute_8_239]) ).

cnf(refute_8_241,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_8_237,refute_8_240]) ).

cnf(refute_8_242,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_8_29:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_8_243,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_8_241,refute_8_242]) ).

cnf(refute_8_244,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_8_234,refute_8_243]) ).

cnf(refute_8_245,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_8_246,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_8_244,refute_8_245]) ).

cnf(refute_8_247,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_8_227,refute_8_246]) ).

cnf(refute_8_248,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_8_249,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_8_247,refute_8_248]) ).

cnf(refute_8_250,plain,
    ( op1(e10,e11) != e12
    | op1(e10,e11) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).

cnf(refute_8_251,plain,
    ( op1(e10,e11) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_8_249,refute_8_250]) ).

cnf(refute_8_252,plain,
    ( e12 = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_8_226,refute_8_251]) ).

cnf(refute_8_253,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_8_51]) ).

cnf(refute_8_254,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_8_255,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_8_249,refute_8_254]) ).

cnf(refute_8_256,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_8_253,refute_8_255]) ).

cnf(refute_8_257,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_8_53]) ).

cnf(refute_8_258,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_8_55]) ).

cnf(refute_8_259,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_8_260,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_230,refute_8_259]) ).

cnf(refute_8_261,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_8_260,refute_8_258]) ).

cnf(refute_8_262,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_8_257,refute_8_261]) ).

cnf(refute_8_263,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_8_56]) ).

cnf(refute_8_264,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_8_265,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_8_249,refute_8_264]) ).

cnf(refute_8_266,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_8_265,refute_8_263]) ).

cnf(refute_8_267,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_8_268,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_8_267,refute_8_266]) ).

cnf(refute_8_269,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_8_262,refute_8_268]) ).

cnf(refute_8_270,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_8_57]) ).

cnf(refute_8_271,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_8_272,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_230,refute_8_271]) ).

cnf(refute_8_273,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_272,refute_8_270]) ).

cnf(refute_8_274,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_8_275,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_8_274,refute_8_273]) ).

cnf(refute_8_276,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_8_269,refute_8_275]) ).

cnf(refute_8_277,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_8_278,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_276,refute_8_277]) ).

cnf(refute_8_279,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_8_256,refute_8_278]) ).

cnf(refute_8_280,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_8_59]) ).

cnf(refute_8_281,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_8_279,refute_8_280]) ).

cnf(refute_8_282,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_8_60]) ).

cnf(refute_8_283,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_8_284,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_8_283,refute_8_282]) ).

cnf(refute_8_285,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_8_281,refute_8_284]) ).

cnf(refute_8_286,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_8_61]) ).

cnf(refute_8_287,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_8_285,refute_8_286]) ).

cnf(refute_8_288,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[0],$fot(e11)]]) ).

cnf(refute_8_289,plain,
    ( op1(e12,e11) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_8_287,refute_8_288]) ).

cnf(refute_8_290,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_8_252,refute_8_289]) ).

cnf(refute_8_291,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_8_292,plain,
    ( op1(e13,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_276,refute_8_291]) ).

cnf(refute_8_293,plain,
    ( e10 = e13
    | e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_8_290,refute_8_292]) ).

cnf(refute_8_294,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_8_62]) ).

cnf(refute_8_295,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_8_293,refute_8_294]) ).

cnf(refute_8_296,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_8_63]) ).

cnf(refute_8_297,plain,
    ( e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_8_295,refute_8_296]) ).

cnf(refute_8_298,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_8_64]) ).

cnf(refute_8_299,plain,
    op1(e11,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_8_297,refute_8_298]) ).

cnf(refute_8_300,plain,
    ( e13 != e13
    | op1(e11,e11) != e13
    | op1(e11,e11) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[1],$fot(e13)]]) ).

cnf(refute_8_301,plain,
    ( e13 != e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_8_299,refute_8_300]) ).

cnf(refute_8_302,plain,
    ( e13 != e13
    | op1(e12,e13) != e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_8_301,refute_8_225]) ).

cnf(refute_8_303,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_8_304,plain,
    op1(e12,e13) != e12,
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_303,refute_8_302]) ).

cnf(refute_8_305,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference(canonicalize,[],[normalize_8_65]) ).

cnf(refute_8_306,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e11)]]) ).

cnf(refute_8_307,plain,
    ( op1(e12,e11) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_8_287,refute_8_306]) ).

cnf(refute_8_308,plain,
    ( e11 = e12
    | op1(e12,e10) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_8_305,refute_8_307]) ).

cnf(refute_8_309,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_8_308,refute_8_282]) ).

cnf(refute_8_310,plain,
    op1(e12,e12) != e12,
    inference(canonicalize,[],[normalize_8_66]) ).

cnf(refute_8_311,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_8_309,refute_8_310]) ).

cnf(refute_8_312,plain,
    ( e12 != e12
    | op1(e12,e13) != e12
    | op1(e12,e13) = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e12) ),[0,0],$fot(e12)]]) ).

cnf(refute_8_313,plain,
    ( e12 != e12
    | op1(e12,e10) = e12
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_8_311,refute_8_312]) ).

cnf(refute_8_314,plain,
    ( e12 != e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_8_313,refute_8_304]) ).

cnf(refute_8_315,plain,
    e12 = e12,
    introduced(tautology,[refl,[$fot(e12)]]) ).

cnf(refute_8_316,plain,
    op1(e12,e10) = e12,
    inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_315,refute_8_314]) ).

cnf(refute_8_317,plain,
    h4(op1(e12,e10)) = h4(op1(e12,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e12,e10)))]]) ).

cnf(refute_8_318,plain,
    ( h4(op1(e12,e10)) != h4(op1(e12,e10))
    | op1(e12,e10) != e12
    | h4(op1(e12,e10)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),h4(op1(e12,e10))) ),[1,0],$fot(e12)]]) ).

cnf(refute_8_319,plain,
    ( op1(e12,e10) != e12
    | h4(op1(e12,e10)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h4(op1(e12,e10))) )],[refute_8_317,refute_8_318]) ).

cnf(refute_8_320,plain,
    h4(op1(e12,e10)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_316,refute_8_319]) ).

cnf(refute_8_321,plain,
    ( h4(e12) != e22
    | h4(op1(e12,e10)) != h4(e12)
    | h4(op1(e12,e10)) = e22 ),
    inference(subst,[],[refute_8_29:[bind(X,$fot(h4(op1(e12,e10)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_8_322,plain,
    ( h4(e12) != e22
    | h4(op1(e12,e10)) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h4(e12)) )],[refute_8_320,refute_8_321]) ).

cnf(refute_8_323,plain,
    h4(op1(e12,e10)) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_43,refute_8_322]) ).

cnf(refute_8_324,plain,
    ( e22 != e22
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e10)) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),e22) ),[1],$fot(e22)]]) ).

cnf(refute_8_325,plain,
    ( e22 != e22
    | h4(op1(e12,e10)) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e22) )],[refute_8_323,refute_8_324]) ).

cnf(refute_8_326,plain,
    e22 != e22,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e22) )],[refute_8_325,refute_8_224]) ).

cnf(refute_8_327,plain,
    $false,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_195,refute_8_326]) ).

fof(negate_9_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
     => h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    inference(negate,[],[subgoal_9]) ).

fof(normalize_9_0,plain,
    ( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_9_0]) ).

fof(normalize_9_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_9_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_9_1]) ).

fof(normalize_9_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_9_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_9_3]) ).

fof(normalize_9_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_9_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_9_5]) ).

fof(normalize_9_7,plain,
    ( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_9_0,normalize_9_2,normalize_9_4,normalize_9_6]) ).

fof(normalize_9_8,plain,
    h4(op1(e12,e11)) != op2(h4(e12),h4(e11)),
    inference(conjunct,[],[normalize_9_7]) ).

fof(normalize_9_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_9_10,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_9_9]) ).

fof(normalize_9_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_9_12,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_9_11]) ).

fof(normalize_9_13,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_9_14,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_9_13]) ).

fof(normalize_9_15,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_9_16,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_9_15]) ).

fof(normalize_9_17,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_9_15]) ).

fof(normalize_9_18,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_9_15]) ).

fof(normalize_9_19,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_9_20,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_9_19]) ).

fof(normalize_9_21,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_9_22,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_9_21]) ).

fof(normalize_9_23,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_9_21]) ).

fof(normalize_9_24,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_9_25,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_9_24]) ).

fof(normalize_9_26,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_9_27,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_9_26]) ).

fof(normalize_9_28,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_9_26]) ).

fof(normalize_9_29,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_9_24]) ).

fof(normalize_9_30,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_9_31,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_9_30]) ).

fof(normalize_9_32,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_9_11]) ).

fof(normalize_9_33,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_9_11]) ).

fof(normalize_9_34,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_9_3]) ).

fof(normalize_9_35,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_9_36,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_9_35]) ).

fof(normalize_9_37,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_9_38,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_9_37]) ).

fof(normalize_9_39,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_9_37]) ).

fof(normalize_9_40,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_9_41,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_9_40]) ).

fof(normalize_9_42,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_9_43,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_9_42]) ).

fof(normalize_9_44,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_9_42]) ).

fof(normalize_9_45,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_9_40]) ).

fof(normalize_9_46,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_9_9]) ).

cnf(refute_9_0,plain,
    h4(op1(e12,e11)) != op2(h4(e12),h4(e11)),
    inference(canonicalize,[],[normalize_9_8]) ).

cnf(refute_9_1,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_9_10]) ).

cnf(refute_9_2,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_9_12]) ).

cnf(refute_9_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_9_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_9_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_9_3,refute_9_4]) ).

cnf(refute_9_6,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_9_7,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_9_2,refute_9_6]) ).

cnf(refute_9_8,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_9_9,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_7,refute_9_8]) ).

cnf(refute_9_10,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_9_1,refute_9_9]) ).

cnf(refute_9_11,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_9_14]) ).

cnf(refute_9_12,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_9_16]) ).

cnf(refute_9_13,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_9_17]) ).

cnf(refute_9_14,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_9_15,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_9_13,refute_9_14]) ).

cnf(refute_9_16,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_9_17,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_9_18,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_9_16,refute_9_17]) ).

cnf(refute_9_19,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_15,refute_9_18]) ).

cnf(refute_9_20,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_9_18]) ).

cnf(refute_9_21,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_9_22,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_9_20,refute_9_21]) ).

cnf(refute_9_23,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_9_24,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_9_25,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_9_23,refute_9_24]) ).

cnf(refute_9_26,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_9_22,refute_9_25]) ).

cnf(refute_9_27,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_9_28,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_5,refute_9_27]) ).

cnf(refute_9_29,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_9_28:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_9_30,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_9_26,refute_9_29]) ).

cnf(refute_9_31,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_9_19,refute_9_30]) ).

cnf(refute_9_32,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_9_33,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_9_31,refute_9_32]) ).

cnf(refute_9_34,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_9_12,refute_9_33]) ).

cnf(refute_9_35,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_9_36,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_9_34,refute_9_35]) ).

cnf(refute_9_37,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_9_38,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_9_36,refute_9_37]) ).

cnf(refute_9_39,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_9_11,refute_9_38]) ).

cnf(refute_9_40,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_9_20]) ).

cnf(refute_9_41,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_9_22]) ).

cnf(refute_9_42,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_9_43,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_15,refute_9_42]) ).

cnf(refute_9_44,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_9_43,refute_9_41]) ).

cnf(refute_9_45,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_9_40,refute_9_44]) ).

cnf(refute_9_46,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_9_23]) ).

cnf(refute_9_47,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_9_48,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_9_36,refute_9_47]) ).

cnf(refute_9_49,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_9_48,refute_9_46]) ).

cnf(refute_9_50,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_9_51,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_9_50,refute_9_49]) ).

cnf(refute_9_52,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_9_45,refute_9_51]) ).

cnf(refute_9_53,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_9_25]) ).

cnf(refute_9_54,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_9_55,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_15,refute_9_54]) ).

cnf(refute_9_56,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_55,refute_9_53]) ).

cnf(refute_9_57,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_9_58,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_57,refute_9_56]) ).

cnf(refute_9_59,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_9_52,refute_9_58]) ).

cnf(refute_9_60,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_9_61,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_9_59,refute_9_60]) ).

cnf(refute_9_62,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_9_39,refute_9_61]) ).

cnf(refute_9_63,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_9_27]) ).

cnf(refute_9_64,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_9_62,refute_9_63]) ).

cnf(refute_9_65,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_9_28]) ).

cnf(refute_9_66,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_9_67,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_9_66,refute_9_65]) ).

cnf(refute_9_68,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_9_64,refute_9_67]) ).

cnf(refute_9_69,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_9_29]) ).

cnf(refute_9_70,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_9_68,refute_9_69]) ).

cnf(refute_9_71,plain,
    h4(op1(e12,e11)) = h4(op1(e12,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e12,e11)))]]) ).

cnf(refute_9_72,plain,
    ( h4(op1(e12,e11)) != h4(op1(e12,e11))
    | op1(e12,e11) != e11
    | h4(op1(e12,e11)) = h4(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e12,e11))) ),[1,0],$fot(e11)]]) ).

cnf(refute_9_73,plain,
    ( op1(e12,e11) != e11
    | h4(op1(e12,e11)) = h4(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e12,e11))) )],[refute_9_71,refute_9_72]) ).

cnf(refute_9_74,plain,
    h4(op1(e12,e11)) = h4(e11),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_9_70,refute_9_73]) ).

cnf(refute_9_75,plain,
    ( h4(e11) != e21
    | h4(op1(e12,e11)) != h4(e11)
    | h4(op1(e12,e11)) = e21 ),
    inference(subst,[],[refute_9_28:[bind(X,$fot(h4(op1(e12,e11)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_9_76,plain,
    ( h4(e11) != e21
    | h4(op1(e12,e11)) = e21 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(e11)) )],[refute_9_74,refute_9_75]) ).

cnf(refute_9_77,plain,
    h4(op1(e12,e11)) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_10,refute_9_76]) ).

cnf(refute_9_78,plain,
    ( e21 != op2(h4(e12),h4(e11))
    | h4(op1(e12,e11)) != e21
    | h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),e21) ),[1],$fot(op2(h4(e12),h4(e11)))]]) ).

cnf(refute_9_79,plain,
    ( e21 != op2(h4(e12),h4(e11))
    | h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e21) )],[refute_9_77,refute_9_78]) ).

cnf(refute_9_80,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_9_31]) ).

cnf(refute_9_81,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_9_32]) ).

cnf(refute_9_82,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_9_83,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_9_84,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_9_82,refute_9_83]) ).

cnf(refute_9_85,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_7,refute_9_84]) ).

cnf(refute_9_86,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_9_33]) ).

cnf(refute_9_87,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_9_88,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_9_86,refute_9_87]) ).

cnf(refute_9_89,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_9_90,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_9_91,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_9_89,refute_9_90]) ).

cnf(refute_9_92,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_9_88,refute_9_91]) ).

cnf(refute_9_93,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_9_28:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_9_94,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_9_92,refute_9_93]) ).

cnf(refute_9_95,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_9_85,refute_9_94]) ).

cnf(refute_9_96,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_9_97,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_9_95,refute_9_96]) ).

cnf(refute_9_98,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_9_81,refute_9_97]) ).

cnf(refute_9_99,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_9_100,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_9_98,refute_9_99]) ).

cnf(refute_9_101,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_9_102,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_9_100,refute_9_101]) ).

cnf(refute_9_103,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_9_80,refute_9_102]) ).

cnf(refute_9_104,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_9_34]) ).

cnf(refute_9_105,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_9_106,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_9_104,refute_9_105]) ).

cnf(refute_9_107,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_9_108,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_106,refute_9_107]) ).

cnf(refute_9_109,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_9_103,refute_9_108]) ).

cnf(refute_9_110,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_9_36]) ).

cnf(refute_9_111,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_9_38]) ).

cnf(refute_9_112,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_9_113,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_7,refute_9_112]) ).

cnf(refute_9_114,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_9_113,refute_9_111]) ).

cnf(refute_9_115,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_9_110,refute_9_114]) ).

cnf(refute_9_116,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_9_39]) ).

cnf(refute_9_117,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_9_118,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_9_100,refute_9_117]) ).

cnf(refute_9_119,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_9_118,refute_9_116]) ).

cnf(refute_9_120,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_9_121,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_9_120,refute_9_119]) ).

cnf(refute_9_122,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_9_115,refute_9_121]) ).

cnf(refute_9_123,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_9_41]) ).

cnf(refute_9_124,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_9_125,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_7,refute_9_124]) ).

cnf(refute_9_126,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_125,refute_9_123]) ).

cnf(refute_9_127,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_9_128,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_127,refute_9_126]) ).

cnf(refute_9_129,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_122,refute_9_128]) ).

cnf(refute_9_130,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_9_131,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_9_129,refute_9_130]) ).

cnf(refute_9_132,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_9_109,refute_9_131]) ).

cnf(refute_9_133,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_9_43]) ).

cnf(refute_9_134,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_9_132,refute_9_133]) ).

cnf(refute_9_135,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_9_44]) ).

cnf(refute_9_136,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_9_137,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_9_136,refute_9_135]) ).

cnf(refute_9_138,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_9_134,refute_9_137]) ).

cnf(refute_9_139,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_9_45]) ).

cnf(refute_9_140,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_9_141,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_106,refute_9_140]) ).

cnf(refute_9_142,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_9_141,refute_9_139]) ).

cnf(refute_9_143,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_9_138,refute_9_142]) ).

cnf(refute_9_144,plain,
    op2(e22,h4(e11)) = op2(e22,h4(e11)),
    introduced(tautology,[refl,[$fot(op2(e22,h4(e11)))]]) ).

cnf(refute_9_145,plain,
    ( h4(e11) != e21
    | op2(e22,h4(e11)) != op2(e22,h4(e11))
    | op2(e22,h4(e11)) = op2(e22,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) ),[1,1],$fot(e21)]]) ).

cnf(refute_9_146,plain,
    ( h4(e11) != e21
    | op2(e22,h4(e11)) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) )],[refute_9_144,refute_9_145]) ).

cnf(refute_9_147,plain,
    op2(e22,h4(e11)) = op2(e22,e21),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_10,refute_9_146]) ).

cnf(refute_9_148,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_9_46]) ).

cnf(refute_9_149,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_9_28:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_9_150,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_9_95,refute_9_149]) ).

cnf(refute_9_151,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_9_100,refute_9_150]) ).

cnf(refute_9_152,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_9_153,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_9_151,refute_9_152]) ).

cnf(refute_9_154,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_9_148,refute_9_153]) ).

cnf(refute_9_155,plain,
    op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).

cnf(refute_9_156,plain,
    ( h4(e12) != e22
    | op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
    | op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e22)]]) ).

cnf(refute_9_157,plain,
    ( h4(e12) != e22
    | op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_9_155,refute_9_156]) ).

cnf(refute_9_158,plain,
    op2(h4(e12),h4(e11)) = op2(e22,h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_154,refute_9_157]) ).

cnf(refute_9_159,plain,
    ( op2(e22,h4(e11)) != op2(e22,e21)
    | op2(h4(e12),h4(e11)) != op2(e22,h4(e11))
    | op2(h4(e12),h4(e11)) = op2(e22,e21) ),
    inference(subst,[],[refute_9_28:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,h4(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).

cnf(refute_9_160,plain,
    ( op2(e22,h4(e11)) != op2(e22,e21)
    | op2(h4(e12),h4(e11)) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,h4(e11))) )],[refute_9_158,refute_9_159]) ).

cnf(refute_9_161,plain,
    op2(h4(e12),h4(e11)) = op2(e22,e21),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,e21)) )],[refute_9_147,refute_9_160]) ).

cnf(refute_9_162,plain,
    ( op2(e22,e21) != e21
    | op2(h4(e12),h4(e11)) != op2(e22,e21)
    | op2(h4(e12),h4(e11)) = e21 ),
    inference(subst,[],[refute_9_28:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(e21))]]) ).

cnf(refute_9_163,plain,
    ( op2(e22,e21) != e21
    | op2(h4(e12),h4(e11)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,e21)) )],[refute_9_161,refute_9_162]) ).

cnf(refute_9_164,plain,
    op2(h4(e12),h4(e11)) = e21,
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_9_143,refute_9_163]) ).

cnf(refute_9_165,plain,
    ( e21 != e21
    | op2(h4(e12),h4(e11)) != e21
    | e21 = op2(h4(e12),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e12),h4(e11))) ),[1],$fot(e21)]]) ).

cnf(refute_9_166,plain,
    ( e21 != e21
    | e21 = op2(h4(e12),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),e21) )],[refute_9_164,refute_9_165]) ).

cnf(refute_9_167,plain,
    ( e21 != e21
    | h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    inference(resolve,[$cnf( $equal(e21,op2(h4(e12),h4(e11))) )],[refute_9_166,refute_9_79]) ).

cnf(refute_9_168,plain,
    e21 != e21,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_9_167,refute_9_0]) ).

cnf(refute_9_169,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_127,refute_9_168]) ).

fof(negate_10_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) )
     => h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    inference(negate,[],[subgoal_10]) ).

fof(normalize_10_0,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_10_1,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(conjunct,[],[normalize_10_0]) ).

fof(normalize_10_2,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_10_3,plain,
    h3(e11) = op2(e22,e22),
    inference(conjunct,[],[normalize_10_2]) ).

fof(normalize_10_4,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_10_5,plain,
    op2(e22,e22) != e22,
    inference(conjunct,[],[normalize_10_4]) ).

fof(normalize_10_6,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_10_7,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_10_6]) ).

fof(normalize_10_8,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(conjunct,[],[normalize_10_4]) ).

fof(normalize_10_9,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_10_10,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_10_9]) ).

fof(normalize_10_11,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_10_12,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_10_11]) ).

fof(normalize_10_13,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_10_14,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_10_13]) ).

fof(normalize_10_15,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_10_13]) ).

fof(normalize_10_16,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_10_13]) ).

fof(normalize_10_17,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_10_11]) ).

fof(normalize_10_18,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_10_0]) ).

fof(normalize_10_19,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_10_6]) ).

fof(normalize_10_20,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_10_6]) ).

fof(normalize_10_21,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_10_4]) ).

fof(normalize_10_22,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_10_23,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_10_22]) ).

fof(normalize_10_24,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_10_22]) ).

fof(normalize_10_25,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_10_4]) ).

fof(normalize_10_26,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_10_22]) ).

fof(normalize_10_27,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_10_22]) ).

fof(normalize_10_28,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_10_22]) ).

fof(normalize_10_29,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(conjunct,[],[normalize_10_11]) ).

fof(normalize_10_30,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_10_31,plain,
    h1(e11) = op2(e20,e20),
    inference(conjunct,[],[normalize_10_30]) ).

fof(normalize_10_32,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_10_22]) ).

fof(normalize_10_33,plain,
    op2(e20,e20) != e20,
    inference(conjunct,[],[normalize_10_4]) ).

fof(normalize_10_34,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(conjunct,[],[normalize_10_6]) ).

fof(normalize_10_35,plain,
    ( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_10_0]) ).

fof(normalize_10_36,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_10_30]) ).

fof(normalize_10_37,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_10_9]) ).

fof(normalize_10_38,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_10_2]) ).

fof(normalize_10_39,plain,
    ( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_10_35,normalize_10_36,normalize_10_37,normalize_10_38]) ).

fof(normalize_10_40,plain,
    h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
    inference(conjunct,[],[normalize_10_39]) ).

fof(normalize_10_41,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_10_42,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_10_41]) ).

fof(normalize_10_43,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_10_41]) ).

fof(normalize_10_44,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_10_45,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e12) = e11
    | op1(e12,e12) = e12
    | op1(e12,e12) = e13 ),
    inference(conjunct,[],[normalize_10_44]) ).

fof(normalize_10_46,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_10_47,plain,
    op1(e12,e12) != e12,
    inference(conjunct,[],[normalize_10_46]) ).

fof(normalize_10_48,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_10_49,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(conjunct,[],[normalize_10_48]) ).

fof(normalize_10_50,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(conjunct,[],[normalize_10_39]) ).

fof(normalize_10_51,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_10_41]) ).

fof(normalize_10_52,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_10_53,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(conjunct,[],[normalize_10_52]) ).

fof(normalize_10_54,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_10_55,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_10_54]) ).

fof(normalize_10_56,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_10_54]) ).

fof(normalize_10_57,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_10_54]) ).

fof(normalize_10_58,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_10_59,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_10_58]) ).

fof(normalize_10_60,plain,
    op1(e10,e10) != e10,
    inference(conjunct,[],[normalize_10_46]) ).

fof(normalize_10_61,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(conjunct,[],[normalize_10_48]) ).

fof(normalize_10_62,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_10_52]) ).

fof(normalize_10_63,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_10_44]) ).

fof(normalize_10_64,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_10_48]) ).

fof(normalize_10_65,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_10_48]) ).

fof(normalize_10_66,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_10_46]) ).

fof(normalize_10_67,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_10_58]) ).

fof(normalize_10_68,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_10_58]) ).

fof(normalize_10_69,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_10_46]) ).

cnf(refute_10_0,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(canonicalize,[],[normalize_10_1]) ).

cnf(refute_10_1,plain,
    h3(e11) = op2(e22,e22),
    inference(canonicalize,[],[normalize_10_3]) ).

cnf(refute_10_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_10_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_10_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_10_2,refute_10_3]) ).

cnf(refute_10_5,plain,
    ( h3(e11) != op2(e22,e22)
    | op2(e22,e22) = h3(e11) ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_10_6,plain,
    op2(e22,e22) = h3(e11),
    inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_10_1,refute_10_5]) ).

cnf(refute_10_7,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).

cnf(refute_10_8,plain,
    ( op2(e22,e22) != e20
    | h3(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_7]) ).

cnf(refute_10_9,plain,
    ( h3(e11) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_10_0,refute_10_8]) ).

cnf(refute_10_10,plain,
    ( op2(e22,e22) != e21
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).

cnf(refute_10_11,plain,
    ( op2(e22,e22) != e21
    | h3(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_10]) ).

cnf(refute_10_12,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_10_9,refute_10_11]) ).

cnf(refute_10_13,plain,
    ( op2(e22,e22) != e22
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).

cnf(refute_10_14,plain,
    ( op2(e22,e22) != e22
    | h3(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_13]) ).

cnf(refute_10_15,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_10_12,refute_10_14]) ).

cnf(refute_10_16,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e11))]]) ).

cnf(refute_10_17,plain,
    ( op2(e22,e22) != e23
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_16]) ).

cnf(refute_10_18,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e22
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_15,refute_10_17]) ).

cnf(refute_10_19,plain,
    op2(e22,e22) != e22,
    inference(canonicalize,[],[normalize_10_5]) ).

cnf(refute_10_20,plain,
    ( h3(e11) != e22
    | op2(e22,e22) != h3(e11)
    | op2(e22,e22) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e22)]]) ).

cnf(refute_10_21,plain,
    ( h3(e11) != e22
    | op2(e22,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_20]) ).

cnf(refute_10_22,plain,
    h3(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_10_21,refute_10_19]) ).

cnf(refute_10_23,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_10_18,refute_10_22]) ).

cnf(refute_10_24,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_10_7]) ).

cnf(refute_10_25,plain,
    ( op2(e20,e22) != h3(e11)
    | op2(e22,e22) != h3(e11)
    | op2(e20,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).

cnf(refute_10_26,plain,
    ( op2(e20,e22) != h3(e11)
    | op2(e20,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_25]) ).

cnf(refute_10_27,plain,
    op2(e20,e22) != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_10_26,refute_10_24]) ).

cnf(refute_10_28,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(canonicalize,[],[normalize_10_8]) ).

cnf(refute_10_29,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_10_10]) ).

cnf(refute_10_30,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_10_31,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_10_29,refute_10_30]) ).

cnf(refute_10_32,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_10_33,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_31,refute_10_32]) ).

cnf(refute_10_34,plain,
    ( h2(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_10_33,refute_10_28]) ).

cnf(refute_10_35,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_10_12]) ).

cnf(refute_10_36,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_10_14]) ).

cnf(refute_10_37,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_10_15]) ).

cnf(refute_10_38,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_10_39,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_10_37,refute_10_38]) ).

cnf(refute_10_40,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_10_41,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_10_42,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_10_40,refute_10_41]) ).

cnf(refute_10_43,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_39,refute_10_42]) ).

cnf(refute_10_44,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_10_16]) ).

cnf(refute_10_45,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_10_46,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_10_44,refute_10_45]) ).

cnf(refute_10_47,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_10_48,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_10_49,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_10_47,refute_10_48]) ).

cnf(refute_10_50,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_10_46,refute_10_49]) ).

cnf(refute_10_51,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_10_52,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_4,refute_10_51]) ).

cnf(refute_10_53,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_10_52:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_10_54,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_10_50,refute_10_53]) ).

cnf(refute_10_55,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_10_43,refute_10_54]) ).

cnf(refute_10_56,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_10_57,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_10_55,refute_10_56]) ).

cnf(refute_10_58,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_10_36,refute_10_57]) ).

cnf(refute_10_59,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_10_60,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_10_58,refute_10_59]) ).

cnf(refute_10_61,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_10_62,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_10_60,refute_10_61]) ).

cnf(refute_10_63,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_10_35,refute_10_62]) ).

cnf(refute_10_64,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_10_65,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_31,refute_10_64]) ).

cnf(refute_10_66,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_10_63,refute_10_65]) ).

cnf(refute_10_67,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_10_17]) ).

cnf(refute_10_68,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_10_69,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_10_60,refute_10_68]) ).

cnf(refute_10_70,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_10_67,refute_10_69]) ).

cnf(refute_10_71,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_10_72,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_31,refute_10_71]) ).

cnf(refute_10_73,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_10_70,refute_10_72]) ).

cnf(refute_10_74,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_10_18]) ).

cnf(refute_10_75,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_10_19]) ).

cnf(refute_10_76,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_10_77,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_39,refute_10_76]) ).

cnf(refute_10_78,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_10_77,refute_10_75]) ).

cnf(refute_10_79,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_10_74,refute_10_78]) ).

cnf(refute_10_80,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_10_20]) ).

cnf(refute_10_81,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_10_82,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_10_60,refute_10_81]) ).

cnf(refute_10_83,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_10_82,refute_10_80]) ).

cnf(refute_10_84,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_10_85,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_10_84,refute_10_83]) ).

cnf(refute_10_86,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_10_79,refute_10_85]) ).

cnf(refute_10_87,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_10_21]) ).

cnf(refute_10_88,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_10_89,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_39,refute_10_88]) ).

cnf(refute_10_90,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_89,refute_10_87]) ).

cnf(refute_10_91,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_10_92,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_10_91,refute_10_90]) ).

cnf(refute_10_93,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_10_86,refute_10_92]) ).

cnf(refute_10_94,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_10_95,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_10_93,refute_10_94]) ).

cnf(refute_10_96,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_10_73,refute_10_95]) ).

cnf(refute_10_97,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_10_23]) ).

cnf(refute_10_98,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_10_96,refute_10_97]) ).

cnf(refute_10_99,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_10_24]) ).

cnf(refute_10_100,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_10_101,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_10_100,refute_10_99]) ).

cnf(refute_10_102,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_10_98,refute_10_101]) ).

cnf(refute_10_103,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_10_25]) ).

cnf(refute_10_104,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_10_105,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_31,refute_10_104]) ).

cnf(refute_10_106,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_10_105,refute_10_103]) ).

cnf(refute_10_107,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_10_102,refute_10_106]) ).

cnf(refute_10_108,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_10_109,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_10_107,refute_10_108]) ).

cnf(refute_10_110,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_10_66,refute_10_109]) ).

cnf(refute_10_111,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_10_112,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_10_93,refute_10_111]) ).

cnf(refute_10_113,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_10_110,refute_10_112]) ).

cnf(refute_10_114,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_10_26]) ).

cnf(refute_10_115,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_10_113,refute_10_114]) ).

cnf(refute_10_116,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_10_27]) ).

cnf(refute_10_117,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_10_115,refute_10_116]) ).

cnf(refute_10_118,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_10_28]) ).

cnf(refute_10_119,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_10_117,refute_10_118]) ).

cnf(refute_10_120,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_10_121,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_10_119,refute_10_120]) ).

cnf(refute_10_122,plain,
    ( e23 != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_10_121,refute_10_34]) ).

cnf(refute_10_123,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_10_124,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_10_123,refute_10_122]) ).

cnf(refute_10_125,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(canonicalize,[],[normalize_10_29]) ).

cnf(refute_10_126,plain,
    h1(e11) = op2(e20,e20),
    inference(canonicalize,[],[normalize_10_31]) ).

cnf(refute_10_127,plain,
    ( h1(e11) != op2(e20,e20)
    | op2(e20,e20) = h1(e11) ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_10_128,plain,
    op2(e20,e20) = h1(e11),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_10_126,refute_10_127]) ).

cnf(refute_10_129,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).

cnf(refute_10_130,plain,
    ( op2(e20,e20) != e20
    | h1(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_128,refute_10_129]) ).

cnf(refute_10_131,plain,
    ( h1(e11) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_10_125,refute_10_130]) ).

cnf(refute_10_132,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(e22)]]) ).

cnf(refute_10_133,plain,
    ( op2(e20,e21) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_10_60,refute_10_132]) ).

cnf(refute_10_134,plain,
    ( e22 = e20
    | h1(e11) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_10_131,refute_10_133]) ).

cnf(refute_10_135,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_10_32]) ).

cnf(refute_10_136,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_10_137,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_10_136,refute_10_135]) ).

cnf(refute_10_138,plain,
    ( h1(e11) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_10_134,refute_10_137]) ).

cnf(refute_10_139,plain,
    op2(e20,e20) != e20,
    inference(canonicalize,[],[normalize_10_33]) ).

cnf(refute_10_140,plain,
    ( h1(e11) != e20
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_10_141,plain,
    ( h1(e11) != e20
    | op2(e20,e20) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_128,refute_10_140]) ).

cnf(refute_10_142,plain,
    h1(e11) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_10_141,refute_10_139]) ).

cnf(refute_10_143,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_10_138,refute_10_142]) ).

cnf(refute_10_144,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | op2(e20,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_10_145,plain,
    ( e20 != e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_10_143,refute_10_144]) ).

cnf(refute_10_146,plain,
    ( e20 != e20
    | op2(e20,e22) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_10_145,refute_10_124]) ).

cnf(refute_10_147,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_10_148,plain,
    op2(e20,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_10_147,refute_10_146]) ).

cnf(refute_10_149,plain,
    ( e20 != h3(e11)
    | op2(e20,e22) != e20
    | op2(e20,e22) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[1],$fot(h3(e11))]]) ).

cnf(refute_10_150,plain,
    ( e20 != h3(e11)
    | op2(e20,e22) = h3(e11) ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_10_148,refute_10_149]) ).

cnf(refute_10_151,plain,
    e20 != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_10_150,refute_10_27]) ).

cnf(refute_10_152,plain,
    ( h3(e11) != e20
    | e20 = h3(e11) ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(e20))]]) ).

cnf(refute_10_153,plain,
    h3(e11) != e20,
    inference(resolve,[$cnf( $equal(e20,h3(e11)) )],[refute_10_152,refute_10_151]) ).

cnf(refute_10_154,plain,
    ( h3(e11) = e21
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_10_23,refute_10_153]) ).

cnf(refute_10_155,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(canonicalize,[],[normalize_10_34]) ).

cnf(refute_10_156,plain,
    ( op2(e22,e21) != h3(e11)
    | op2(e22,e22) != h3(e11)
    | op2(e22,e21) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).

cnf(refute_10_157,plain,
    ( op2(e22,e21) != h3(e11)
    | op2(e22,e21) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_156]) ).

cnf(refute_10_158,plain,
    op2(e22,e21) != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_10_157,refute_10_155]) ).

cnf(refute_10_159,plain,
    ( e21 != h3(e11)
    | op2(e22,e21) != e21
    | op2(e22,e21) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[1],$fot(h3(e11))]]) ).

cnf(refute_10_160,plain,
    ( e21 != h3(e11)
    | op2(e22,e21) = h3(e11) ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_10_107,refute_10_159]) ).

cnf(refute_10_161,plain,
    e21 != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_10_160,refute_10_158]) ).

cnf(refute_10_162,plain,
    ( h3(e11) != e21
    | e21 = h3(e11) ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(e21))]]) ).

cnf(refute_10_163,plain,
    h3(e11) != e21,
    inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_10_162,refute_10_161]) ).

cnf(refute_10_164,plain,
    h3(e11) = e23,
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_10_154,refute_10_163]) ).

cnf(refute_10_165,plain,
    h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
    inference(canonicalize,[],[normalize_10_40]) ).

cnf(refute_10_166,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_10_42]) ).

cnf(refute_10_167,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_10_52:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_10_168,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_10_55,refute_10_167]) ).

cnf(refute_10_169,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_10_60,refute_10_168]) ).

cnf(refute_10_170,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_10_171,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_10_169,refute_10_170]) ).

cnf(refute_10_172,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_10_166,refute_10_171]) ).

cnf(refute_10_173,plain,
    op2(e22,h4(e12)) = op2(e22,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e22,h4(e12)))]]) ).

cnf(refute_10_174,plain,
    ( h4(e12) != e22
    | op2(e22,h4(e12)) != op2(e22,h4(e12))
    | op2(e22,h4(e12)) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_10_175,plain,
    ( h4(e12) != e22
    | op2(e22,h4(e12)) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) )],[refute_10_173,refute_10_174]) ).

cnf(refute_10_176,plain,
    op2(e22,h4(e12)) = op2(e22,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_172,refute_10_175]) ).

cnf(refute_10_177,plain,
    op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).

cnf(refute_10_178,plain,
    ( h4(e12) != e22
    | op2(h4(e12),h4(e12)) != op2(h4(e12),h4(e12))
    | op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) ),[1,0],$fot(e22)]]) ).

cnf(refute_10_179,plain,
    ( h4(e12) != e22
    | op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) )],[refute_10_177,refute_10_178]) ).

cnf(refute_10_180,plain,
    op2(h4(e12),h4(e12)) = op2(e22,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_172,refute_10_179]) ).

cnf(refute_10_181,plain,
    ( op2(e22,h4(e12)) != op2(e22,e22)
    | op2(h4(e12),h4(e12)) != op2(e22,h4(e12))
    | op2(h4(e12),h4(e12)) = op2(e22,e22) ),
    inference(subst,[],[refute_10_52:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,h4(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).

cnf(refute_10_182,plain,
    ( op2(e22,h4(e12)) != op2(e22,e22)
    | op2(h4(e12),h4(e12)) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,h4(e12))) )],[refute_10_180,refute_10_181]) ).

cnf(refute_10_183,plain,
    op2(h4(e12),h4(e12)) = op2(e22,e22),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,e22)) )],[refute_10_176,refute_10_182]) ).

cnf(refute_10_184,plain,
    ( op2(e22,e22) != h3(e11)
    | op2(h4(e12),h4(e12)) != op2(e22,e22)
    | op2(h4(e12),h4(e12)) = h3(e11) ),
    inference(subst,[],[refute_10_52:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).

cnf(refute_10_185,plain,
    ( op2(e22,e22) != h3(e11)
    | op2(h4(e12),h4(e12)) = h3(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,e22)) )],[refute_10_183,refute_10_184]) ).

cnf(refute_10_186,plain,
    op2(h4(e12),h4(e12)) = h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_185]) ).

cnf(refute_10_187,plain,
    ( h4(op1(e12,e12)) != h3(e11)
    | op2(h4(e12),h4(e12)) != h3(e11)
    | h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) ),[1],$fot(h3(e11))]]) ).

cnf(refute_10_188,plain,
    ( h4(op1(e12,e12)) != h3(e11)
    | h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),h3(e11)) )],[refute_10_186,refute_10_187]) ).

cnf(refute_10_189,plain,
    h4(op1(e12,e12)) != h3(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_10_188,refute_10_165]) ).

cnf(refute_10_190,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_10_43]) ).

cnf(refute_10_191,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e12) = e11
    | op1(e12,e12) = e12
    | op1(e12,e12) = e13 ),
    inference(canonicalize,[],[normalize_10_45]) ).

cnf(refute_10_192,plain,
    op1(e12,e12) != e12,
    inference(canonicalize,[],[normalize_10_47]) ).

cnf(refute_10_193,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e12) = e11
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_10_191,refute_10_192]) ).

cnf(refute_10_194,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(canonicalize,[],[normalize_10_49]) ).

cnf(refute_10_195,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(canonicalize,[],[normalize_10_50]) ).

cnf(refute_10_196,plain,
    op2(e20,h4(e13)) = op2(e20,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).

cnf(refute_10_197,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) != op2(e20,h4(e13))
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_10_198,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_10_196,refute_10_197]) ).

cnf(refute_10_199,plain,
    op2(e20,h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_190,refute_10_198]) ).

cnf(refute_10_200,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_10_51]) ).

cnf(refute_10_201,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_10_202,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_10_46,refute_10_201]) ).

cnf(refute_10_203,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_10_200,refute_10_202]) ).

cnf(refute_10_204,plain,
    op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_10_205,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_10_206,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_10_204,refute_10_205]) ).

cnf(refute_10_207,plain,
    op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_203,refute_10_206]) ).

cnf(refute_10_208,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(subst,[],[refute_10_52:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).

cnf(refute_10_209,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_10_207,refute_10_208]) ).

cnf(refute_10_210,plain,
    op2(h4(e10),h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_10_199,refute_10_209]) ).

cnf(refute_10_211,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) != op2(e20,e23)
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_10_212,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_10_210,refute_10_211]) ).

cnf(refute_10_213,plain,
    h4(op1(e10,e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_10_195,refute_10_212]) ).

cnf(refute_10_214,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(canonicalize,[],[normalize_10_53]) ).

cnf(refute_10_215,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_10_55]) ).

cnf(refute_10_216,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_10_56]) ).

cnf(refute_10_217,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_10_218,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_10_216,refute_10_217]) ).

cnf(refute_10_219,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_10_220,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_10_221,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_10_219,refute_10_220]) ).

cnf(refute_10_222,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_218,refute_10_221]) ).

cnf(refute_10_223,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_10_57]) ).

cnf(refute_10_224,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_10_225,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_10_223,refute_10_224]) ).

cnf(refute_10_226,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_10_227,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_10_228,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_10_226,refute_10_227]) ).

cnf(refute_10_229,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_10_225,refute_10_228]) ).

cnf(refute_10_230,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_10_52:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_10_231,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_10_229,refute_10_230]) ).

cnf(refute_10_232,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_10_222,refute_10_231]) ).

cnf(refute_10_233,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_10_234,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_10_232,refute_10_233]) ).

cnf(refute_10_235,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_10_215,refute_10_234]) ).

cnf(refute_10_236,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_10_237,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_10_235,refute_10_236]) ).

cnf(refute_10_238,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) != e12
    | e12 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e12)]]) ).

cnf(refute_10_239,plain,
    ( op1(e10,e11) != e10
    | e12 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_10_237,refute_10_238]) ).

cnf(refute_10_240,plain,
    ( e12 = e10
    | op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_10_214,refute_10_239]) ).

cnf(refute_10_241,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_10_59]) ).

cnf(refute_10_242,plain,
    ( e12 != e10
    | e10 = e12 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).

cnf(refute_10_243,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_10_242,refute_10_241]) ).

cnf(refute_10_244,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_10_240,refute_10_243]) ).

cnf(refute_10_245,plain,
    op1(e10,e10) != e10,
    inference(canonicalize,[],[normalize_10_60]) ).

cnf(refute_10_246,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_10_244,refute_10_245]) ).

cnf(refute_10_247,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | op1(e10,e13) != e10
    | h4(e10) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e10)]]) ).

cnf(refute_10_248,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | h4(e10) = op2(e20,e23)
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_10_246,refute_10_247]) ).

cnf(refute_10_249,plain,
    ( h4(e10) = op2(e20,e23)
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_10_213,refute_10_248]) ).

cnf(refute_10_250,plain,
    ( h4(e10) != e20
    | h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e23)) ),[0],$fot(e20)]]) ).

cnf(refute_10_251,plain,
    ( h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_203,refute_10_250]) ).

cnf(refute_10_252,plain,
    ( e20 = op2(e20,e23)
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e23)) )],[refute_10_249,refute_10_251]) ).

cnf(refute_10_253,plain,
    ( e20 != op2(e20,e23)
    | op2(e20,e23) = e20 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e23)))]]) ).

cnf(refute_10_254,plain,
    ( op1(e10,e12) = e10
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_10_252,refute_10_253]) ).

cnf(refute_10_255,plain,
    ( e20 != e20
    | op1(e10,e12) = e10
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_10_254,refute_10_144]) ).

cnf(refute_10_256,plain,
    ( e20 != e20
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_10_255,refute_10_124]) ).

cnf(refute_10_257,plain,
    op1(e10,e12) = e10,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_10_147,refute_10_256]) ).

cnf(refute_10_258,plain,
    ( e10 != op1(e12,e12)
    | op1(e10,e12) != e10
    | op1(e10,e12) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[1],$fot(op1(e12,e12))]]) ).

cnf(refute_10_259,plain,
    ( e10 != op1(e12,e12)
    | op1(e10,e12) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_10_257,refute_10_258]) ).

cnf(refute_10_260,plain,
    e10 != op1(e12,e12),
    inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_10_259,refute_10_194]) ).

cnf(refute_10_261,plain,
    ( op1(e12,e12) != e10
    | e10 = op1(e12,e12) ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e12,e12))),bind(Y,$fot(e10))]]) ).

cnf(refute_10_262,plain,
    op1(e12,e12) != e10,
    inference(resolve,[$cnf( $equal(e10,op1(e12,e12)) )],[refute_10_261,refute_10_260]) ).

cnf(refute_10_263,plain,
    ( op1(e12,e12) = e11
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_193,refute_10_262]) ).

cnf(refute_10_264,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(canonicalize,[],[normalize_10_61]) ).

cnf(refute_10_265,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_10_62]) ).

cnf(refute_10_266,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_10_267,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_10_237,refute_10_266]) ).

cnf(refute_10_268,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_10_265,refute_10_267]) ).

cnf(refute_10_269,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_10_63]) ).

cnf(refute_10_270,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_10_64]) ).

cnf(refute_10_271,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_10_272,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_218,refute_10_271]) ).

cnf(refute_10_273,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_10_272,refute_10_270]) ).

cnf(refute_10_274,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_10_269,refute_10_273]) ).

cnf(refute_10_275,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_10_65]) ).

cnf(refute_10_276,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_10_277,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_10_237,refute_10_276]) ).

cnf(refute_10_278,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_10_277,refute_10_275]) ).

cnf(refute_10_279,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_10_280,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_10_279,refute_10_278]) ).

cnf(refute_10_281,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_10_274,refute_10_280]) ).

cnf(refute_10_282,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_10_66]) ).

cnf(refute_10_283,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_10_284,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_218,refute_10_283]) ).

cnf(refute_10_285,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_284,refute_10_282]) ).

cnf(refute_10_286,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_10_287,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_10_286,refute_10_285]) ).

cnf(refute_10_288,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_10_281,refute_10_287]) ).

cnf(refute_10_289,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_10_290,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_10_288,refute_10_289]) ).

cnf(refute_10_291,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_10_268,refute_10_290]) ).

cnf(refute_10_292,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_10_67]) ).

cnf(refute_10_293,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_10_291,refute_10_292]) ).

cnf(refute_10_294,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_10_68]) ).

cnf(refute_10_295,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_10_296,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_10_295,refute_10_294]) ).

cnf(refute_10_297,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_10_293,refute_10_296]) ).

cnf(refute_10_298,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_10_69]) ).

cnf(refute_10_299,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_10_297,refute_10_298]) ).

cnf(refute_10_300,plain,
    ( e11 != op1(e12,e12)
    | op1(e12,e11) != e11
    | op1(e12,e11) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e11) ),[1],$fot(op1(e12,e12))]]) ).

cnf(refute_10_301,plain,
    ( e11 != op1(e12,e12)
    | op1(e12,e11) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_10_299,refute_10_300]) ).

cnf(refute_10_302,plain,
    e11 != op1(e12,e12),
    inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_10_301,refute_10_264]) ).

cnf(refute_10_303,plain,
    ( op1(e12,e12) != e11
    | e11 = op1(e12,e12) ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e12,e12))),bind(Y,$fot(e11))]]) ).

cnf(refute_10_304,plain,
    op1(e12,e12) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e12,e12)) )],[refute_10_303,refute_10_302]) ).

cnf(refute_10_305,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_10_263,refute_10_304]) ).

cnf(refute_10_306,plain,
    h4(op1(e12,e12)) = h4(op1(e12,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e12,e12)))]]) ).

cnf(refute_10_307,plain,
    ( h4(op1(e12,e12)) != h4(op1(e12,e12))
    | op1(e12,e12) != e13
    | h4(op1(e12,e12)) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_10_308,plain,
    ( op1(e12,e12) != e13
    | h4(op1(e12,e12)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) )],[refute_10_306,refute_10_307]) ).

cnf(refute_10_309,plain,
    h4(op1(e12,e12)) = h4(e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_305,refute_10_308]) ).

cnf(refute_10_310,plain,
    ( h4(e13) != e23
    | h4(op1(e12,e12)) != h4(e13)
    | h4(op1(e12,e12)) = e23 ),
    inference(subst,[],[refute_10_52:[bind(X,$fot(h4(op1(e12,e12)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_10_311,plain,
    ( h4(e13) != e23
    | h4(op1(e12,e12)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(e13)) )],[refute_10_309,refute_10_310]) ).

cnf(refute_10_312,plain,
    h4(op1(e12,e12)) = e23,
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_190,refute_10_311]) ).

cnf(refute_10_313,plain,
    ( e23 != h3(e11)
    | h4(op1(e12,e12)) != e23
    | h4(op1(e12,e12)) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),e23) ),[1],$fot(h3(e11))]]) ).

cnf(refute_10_314,plain,
    ( e23 != h3(e11)
    | h4(op1(e12,e12)) = h3(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e23) )],[refute_10_312,refute_10_313]) ).

cnf(refute_10_315,plain,
    e23 != h3(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) )],[refute_10_314,refute_10_189]) ).

cnf(refute_10_316,plain,
    ( h3(e11) != e23
    | e23 = h3(e11) ),
    inference(subst,[],[refute_10_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(e23))]]) ).

cnf(refute_10_317,plain,
    h3(e11) != e23,
    inference(resolve,[$cnf( $equal(e23,h3(e11)) )],[refute_10_316,refute_10_315]) ).

cnf(refute_10_318,plain,
    $false,
    inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_10_164,refute_10_317]) ).

fof(negate_11_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) )
     => h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
    inference(negate,[],[subgoal_11]) ).

fof(normalize_11_0,plain,
    ( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_11_0]) ).

fof(normalize_11_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_11_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_11_1]) ).

fof(normalize_11_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_11_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_11_3]) ).

fof(normalize_11_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_11_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_11_5]) ).

fof(normalize_11_7,plain,
    ( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_11_0,normalize_11_2,normalize_11_4,normalize_11_6]) ).

fof(normalize_11_8,plain,
    h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
    inference(conjunct,[],[normalize_11_7]) ).

fof(normalize_11_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_11_10,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_11_9]) ).

fof(normalize_11_11,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_11_9]) ).

fof(normalize_11_12,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_11_13,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_11_12]) ).

fof(normalize_11_14,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_11_12]) ).

fof(normalize_11_15,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_11_12]) ).

fof(normalize_11_16,plain,
    h3(e10) = op2(e22,op2(e22,e22)),
    inference(conjunct,[],[normalize_11_5]) ).

fof(normalize_11_17,plain,
    h3(e11) = op2(e22,e22),
    inference(conjunct,[],[normalize_11_5]) ).

fof(normalize_11_18,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_11_19,plain,
    ( op2(e22,e20) != e22
    | op2(e22,e22) != e20 ),
    inference(conjunct,[],[normalize_11_18]) ).

fof(normalize_11_20,plain,
    ( op2(e21,e21) != e23
    | op2(e22,e23) != e22 ),
    inference(conjunct,[],[normalize_11_18]) ).

fof(normalize_11_21,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_11_3]) ).

fof(normalize_11_22,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_11_23,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_11_22]) ).

fof(normalize_11_24,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_11_22]) ).

fof(normalize_11_25,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_11_26,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_11_25]) ).

fof(normalize_11_27,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_11_28,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_11_27]) ).

fof(normalize_11_29,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_11_27]) ).

fof(normalize_11_30,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_11_18]) ).

fof(normalize_11_31,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_11_32,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_11_31]) ).

fof(normalize_11_33,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_11_31]) ).

fof(normalize_11_34,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_11_18]) ).

fof(normalize_11_35,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_11_31]) ).

fof(normalize_11_36,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_11_31]) ).

fof(normalize_11_37,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_11_31]) ).

fof(normalize_11_38,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    inference(conjunct,[],[normalize_11_22]) ).

fof(normalize_11_39,plain,
    op2(e22,e22) != e22,
    inference(conjunct,[],[normalize_11_18]) ).

fof(normalize_11_40,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(conjunct,[],[normalize_11_25]) ).

fof(normalize_11_41,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(conjunct,[],[normalize_11_27]) ).

fof(normalize_11_42,plain,
    h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
    inference(conjunct,[],[normalize_11_3]) ).

fof(normalize_11_43,plain,
    h2(e10) = op2(e21,op2(e21,e21)),
    inference(conjunct,[],[normalize_11_3]) ).

fof(normalize_11_44,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    inference(conjunct,[],[normalize_11_22]) ).

fof(normalize_11_45,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(conjunct,[],[normalize_11_27]) ).

fof(normalize_11_46,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(conjunct,[],[normalize_11_22]) ).

fof(normalize_11_47,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_11_31]) ).

fof(normalize_11_48,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_11_9]) ).

fof(normalize_11_49,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_11_50,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    inference(conjunct,[],[normalize_11_49]) ).

fof(normalize_11_51,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_11_52,plain,
    op1(e12,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_11_51]) ).

fof(normalize_11_53,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_11_54,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_11_53]) ).

fof(normalize_11_55,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_11_56,plain,
    ( op1(e11,e11) != e13
    | op1(e12,e13) != e12 ),
    inference(conjunct,[],[normalize_11_55]) ).

fof(normalize_11_57,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_11_58,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_11_57]) ).

fof(normalize_11_59,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_11_53]) ).

fof(normalize_11_60,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_11_53]) ).

fof(normalize_11_61,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_11_57]) ).

fof(normalize_11_62,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_11_49]) ).

fof(normalize_11_63,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_11_51]) ).

fof(normalize_11_64,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_11_51]) ).

fof(normalize_11_65,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_11_55]) ).

fof(normalize_11_66,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_11_67,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_11_66]) ).

fof(normalize_11_68,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_11_66]) ).

fof(normalize_11_69,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_11_55]) ).

fof(normalize_11_70,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_11_66]) ).

fof(normalize_11_71,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_11_66]) ).

fof(normalize_11_72,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_11_66]) ).

fof(normalize_11_73,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(conjunct,[],[normalize_11_51]) ).

fof(normalize_11_74,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(conjunct,[],[normalize_11_18]) ).

fof(normalize_11_75,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(conjunct,[],[normalize_11_7]) ).

fof(normalize_11_76,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_11_49]) ).

fof(normalize_11_77,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_11_51]) ).

fof(normalize_11_78,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(conjunct,[],[normalize_11_51]) ).

cnf(refute_11_0,plain,
    h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
    inference(canonicalize,[],[normalize_11_8]) ).

cnf(refute_11_1,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_11_10]) ).

cnf(refute_11_2,plain,
    op2(e22,h4(e13)) = op2(e22,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e22,h4(e13)))]]) ).

cnf(refute_11_3,plain,
    ( h4(e13) != e23
    | op2(e22,h4(e13)) != op2(e22,h4(e13))
    | op2(e22,h4(e13)) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_11_4,plain,
    ( h4(e13) != e23
    | op2(e22,h4(e13)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) )],[refute_11_2,refute_11_3]) ).

cnf(refute_11_5,plain,
    op2(e22,h4(e13)) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_1,refute_11_4]) ).

cnf(refute_11_6,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_11_11]) ).

cnf(refute_11_7,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_11_13]) ).

cnf(refute_11_8,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_11_14]) ).

cnf(refute_11_9,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_11_10,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_11_11,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_11_9,refute_11_10]) ).

cnf(refute_11_12,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_11_13,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_11_8,refute_11_12]) ).

cnf(refute_11_14,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_11_15,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_11_16,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_11_14,refute_11_15]) ).

cnf(refute_11_17,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_13,refute_11_16]) ).

cnf(refute_11_18,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_11_15]) ).

cnf(refute_11_19,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_11_20,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_11_18,refute_11_19]) ).

cnf(refute_11_21,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_11_22,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_11_23,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_11_21,refute_11_22]) ).

cnf(refute_11_24,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_11_20,refute_11_23]) ).

cnf(refute_11_25,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_11_26,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_11,refute_11_25]) ).

cnf(refute_11_27,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_11_26:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_11_28,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_11_24,refute_11_27]) ).

cnf(refute_11_29,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_11_17,refute_11_28]) ).

cnf(refute_11_30,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_11_31,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_11_29,refute_11_30]) ).

cnf(refute_11_32,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_11_7,refute_11_31]) ).

cnf(refute_11_33,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_11_34,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_11_32,refute_11_33]) ).

cnf(refute_11_35,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_11_26:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_11_36,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_11_29,refute_11_35]) ).

cnf(refute_11_37,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_11_34,refute_11_36]) ).

cnf(refute_11_38,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_11_39,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_11_37,refute_11_38]) ).

cnf(refute_11_40,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_11_6,refute_11_39]) ).

cnf(refute_11_41,plain,
    op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).

cnf(refute_11_42,plain,
    ( h4(e12) != e22
    | op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
    | op2(h4(e12),h4(e13)) = op2(e22,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e22)]]) ).

cnf(refute_11_43,plain,
    ( h4(e12) != e22
    | op2(h4(e12),h4(e13)) = op2(e22,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_11_41,refute_11_42]) ).

cnf(refute_11_44,plain,
    op2(h4(e12),h4(e13)) = op2(e22,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_11_40,refute_11_43]) ).

cnf(refute_11_45,plain,
    ( op2(e22,h4(e13)) != op2(e22,e23)
    | op2(h4(e12),h4(e13)) != op2(e22,h4(e13))
    | op2(h4(e12),h4(e13)) = op2(e22,e23) ),
    inference(subst,[],[refute_11_26:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e22,h4(e13)))),bind(Z,$fot(op2(e22,e23)))]]) ).

cnf(refute_11_46,plain,
    ( op2(e22,h4(e13)) != op2(e22,e23)
    | op2(h4(e12),h4(e13)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,h4(e13))) )],[refute_11_44,refute_11_45]) ).

cnf(refute_11_47,plain,
    op2(h4(e12),h4(e13)) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,e23)) )],[refute_11_5,refute_11_46]) ).

cnf(refute_11_48,plain,
    ( h4(op1(e12,e13)) != op2(e22,e23)
    | op2(h4(e12),h4(e13)) != op2(e22,e23)
    | h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_11_49,plain,
    ( h4(op1(e12,e13)) != op2(e22,e23)
    | h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,e23)) )],[refute_11_47,refute_11_48]) ).

cnf(refute_11_50,plain,
    h4(op1(e12,e13)) != op2(e22,e23),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_11_49,refute_11_0]) ).

cnf(refute_11_51,plain,
    h3(e10) = op2(e22,op2(e22,e22)),
    inference(canonicalize,[],[normalize_11_16]) ).

cnf(refute_11_52,plain,
    h3(e11) = op2(e22,e22),
    inference(canonicalize,[],[normalize_11_17]) ).

cnf(refute_11_53,plain,
    ( h3(e11) != op2(e22,e22)
    | op2(e22,e22) = h3(e11) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_11_54,plain,
    op2(e22,e22) = h3(e11),
    inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_11_52,refute_11_53]) ).

cnf(refute_11_55,plain,
    op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).

cnf(refute_11_56,plain,
    ( op2(e22,e22) != h3(e11)
    | op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
    | op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).

cnf(refute_11_57,plain,
    ( op2(e22,e22) != h3(e11)
    | op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_11_55,refute_11_56]) ).

cnf(refute_11_58,plain,
    op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_54,refute_11_57]) ).

cnf(refute_11_59,plain,
    ( h3(e10) != op2(e22,op2(e22,e22))
    | op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
    | h3(e10) = op2(e22,h3(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,h3(e11))) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).

cnf(refute_11_60,plain,
    ( h3(e10) != op2(e22,op2(e22,e22))
    | h3(e10) = op2(e22,h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_11_58,refute_11_59]) ).

cnf(refute_11_61,plain,
    h3(e10) = op2(e22,h3(e11)),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_11_51,refute_11_60]) ).

cnf(refute_11_62,plain,
    ( op2(e22,e20) != e22
    | op2(e22,e22) != e20 ),
    inference(canonicalize,[],[normalize_11_19]) ).

cnf(refute_11_63,plain,
    ( h3(e11) != e20
    | op2(e22,e22) != h3(e11)
    | op2(e22,e22) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_11_64,plain,
    ( h3(e11) != e20
    | op2(e22,e22) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_54,refute_11_63]) ).

cnf(refute_11_65,plain,
    ( h3(e11) != e20
    | op2(e22,e20) != e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_11_64,refute_11_62]) ).

cnf(refute_11_66,plain,
    ( op2(e21,e21) != e23
    | op2(e22,e23) != e22 ),
    inference(canonicalize,[],[normalize_11_20]) ).

cnf(refute_11_67,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_11_21]) ).

cnf(refute_11_68,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_11_69,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_11_67,refute_11_68]) ).

cnf(refute_11_70,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_11_71,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_69,refute_11_70]) ).

cnf(refute_11_72,plain,
    ( h2(e11) != e23
    | op2(e22,e23) != e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_11_71,refute_11_66]) ).

cnf(refute_11_73,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_11_23]) ).

cnf(refute_11_74,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_11_75,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_11_34,refute_11_74]) ).

cnf(refute_11_76,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_11_73,refute_11_75]) ).

cnf(refute_11_77,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_11_78,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_69,refute_11_77]) ).

cnf(refute_11_79,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_11_76,refute_11_78]) ).

cnf(refute_11_80,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_11_24]) ).

cnf(refute_11_81,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_11_82,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_11_34,refute_11_81]) ).

cnf(refute_11_83,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_11_80,refute_11_82]) ).

cnf(refute_11_84,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_11_85,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_69,refute_11_84]) ).

cnf(refute_11_86,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_11_83,refute_11_85]) ).

cnf(refute_11_87,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_11_26]) ).

cnf(refute_11_88,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_11_28]) ).

cnf(refute_11_89,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_11_90,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_13,refute_11_89]) ).

cnf(refute_11_91,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_11_90,refute_11_88]) ).

cnf(refute_11_92,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_11_87,refute_11_91]) ).

cnf(refute_11_93,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_11_29]) ).

cnf(refute_11_94,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_11_95,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_11_34,refute_11_94]) ).

cnf(refute_11_96,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_11_95,refute_11_93]) ).

cnf(refute_11_97,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_11_98,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_11_97,refute_11_96]) ).

cnf(refute_11_99,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_11_92,refute_11_98]) ).

cnf(refute_11_100,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_11_30]) ).

cnf(refute_11_101,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_11_102,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_13,refute_11_101]) ).

cnf(refute_11_103,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_102,refute_11_100]) ).

cnf(refute_11_104,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_11_105,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_104,refute_11_103]) ).

cnf(refute_11_106,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_99,refute_11_105]) ).

cnf(refute_11_107,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_11_108,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_11_106,refute_11_107]) ).

cnf(refute_11_109,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_11_86,refute_11_108]) ).

cnf(refute_11_110,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_11_32]) ).

cnf(refute_11_111,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_11_109,refute_11_110]) ).

cnf(refute_11_112,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_11_33]) ).

cnf(refute_11_113,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_11_114,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_11_113,refute_11_112]) ).

cnf(refute_11_115,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_11_111,refute_11_114]) ).

cnf(refute_11_116,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_11_34]) ).

cnf(refute_11_117,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_11_118,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_69,refute_11_117]) ).

cnf(refute_11_119,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_11_118,refute_11_116]) ).

cnf(refute_11_120,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_11_115,refute_11_119]) ).

cnf(refute_11_121,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_11_122,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_11_120,refute_11_121]) ).

cnf(refute_11_123,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_11_79,refute_11_122]) ).

cnf(refute_11_124,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_11_125,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_11_106,refute_11_124]) ).

cnf(refute_11_126,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_123,refute_11_125]) ).

cnf(refute_11_127,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_11_35]) ).

cnf(refute_11_128,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_126,refute_11_127]) ).

cnf(refute_11_129,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_11_36]) ).

cnf(refute_11_130,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_128,refute_11_129]) ).

cnf(refute_11_131,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_11_37]) ).

cnf(refute_11_132,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_11_130,refute_11_131]) ).

cnf(refute_11_133,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_11_134,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_11_132,refute_11_133]) ).

cnf(refute_11_135,plain,
    ( e23 != e23
    | op2(e22,e23) != e22 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_11_134,refute_11_72]) ).

cnf(refute_11_136,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_11_137,plain,
    op2(e22,e23) != e22,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_136,refute_11_135]) ).

cnf(refute_11_138,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    inference(canonicalize,[],[normalize_11_38]) ).

cnf(refute_11_139,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0],$fot(e21)]]) ).

cnf(refute_11_140,plain,
    ( op2(e22,e21) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_11_120,refute_11_139]) ).

cnf(refute_11_141,plain,
    ( e21 = e22
    | op2(e22,e20) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_11_138,refute_11_140]) ).

cnf(refute_11_142,plain,
    ( op2(e22,e22) != e22
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).

cnf(refute_11_143,plain,
    ( op2(e22,e22) != e22
    | h3(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_54,refute_11_142]) ).

cnf(refute_11_144,plain,
    ( e21 = e22
    | h3(e11) = e22
    | op2(e22,e20) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_11_141,refute_11_143]) ).

cnf(refute_11_145,plain,
    ( h3(e11) = e22
    | op2(e22,e20) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_11_144,refute_11_112]) ).

cnf(refute_11_146,plain,
    op2(e22,e22) != e22,
    inference(canonicalize,[],[normalize_11_39]) ).

cnf(refute_11_147,plain,
    ( h3(e11) != e22
    | op2(e22,e22) != h3(e11)
    | op2(e22,e22) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e22)]]) ).

cnf(refute_11_148,plain,
    ( h3(e11) != e22
    | op2(e22,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_54,refute_11_147]) ).

cnf(refute_11_149,plain,
    h3(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_11_148,refute_11_146]) ).

cnf(refute_11_150,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_11_145,refute_11_149]) ).

cnf(refute_11_151,plain,
    ( e22 != e22
    | op2(e22,e23) != e22
    | op2(e22,e23) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0,0],$fot(e22)]]) ).

cnf(refute_11_152,plain,
    ( e22 != e22
    | op2(e22,e20) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_11_150,refute_11_151]) ).

cnf(refute_11_153,plain,
    ( e22 != e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_11_152,refute_11_137]) ).

cnf(refute_11_154,plain,
    ( e22 != e22
    | h3(e11) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_11_153,refute_11_65]) ).

cnf(refute_11_155,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_11_156,plain,
    h3(e11) != e20,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_11_155,refute_11_154]) ).

cnf(refute_11_157,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(canonicalize,[],[normalize_11_40]) ).

cnf(refute_11_158,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).

cnf(refute_11_159,plain,
    ( op2(e22,e22) != e20
    | h3(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_54,refute_11_158]) ).

cnf(refute_11_160,plain,
    ( h3(e11) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_11_157,refute_11_159]) ).

cnf(refute_11_161,plain,
    ( op2(e22,e22) != e21
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).

cnf(refute_11_162,plain,
    ( op2(e22,e22) != e21
    | h3(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_54,refute_11_161]) ).

cnf(refute_11_163,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_11_160,refute_11_162]) ).

cnf(refute_11_164,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e22
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_11_163,refute_11_143]) ).

cnf(refute_11_165,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e11))]]) ).

cnf(refute_11_166,plain,
    ( op2(e22,e22) != e23
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_54,refute_11_165]) ).

cnf(refute_11_167,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e22
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_164,refute_11_166]) ).

cnf(refute_11_168,plain,
    ( h3(e11) = e20
    | h3(e11) = e21
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_11_167,refute_11_149]) ).

cnf(refute_11_169,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(canonicalize,[],[normalize_11_41]) ).

cnf(refute_11_170,plain,
    ( op2(e22,e21) != h3(e11)
    | op2(e22,e22) != h3(e11)
    | op2(e22,e21) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).

cnf(refute_11_171,plain,
    ( op2(e22,e21) != h3(e11)
    | op2(e22,e21) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_54,refute_11_170]) ).

cnf(refute_11_172,plain,
    op2(e22,e21) != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_11_171,refute_11_169]) ).

cnf(refute_11_173,plain,
    ( e21 != h3(e11)
    | op2(e22,e21) != e21
    | op2(e22,e21) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[1],$fot(h3(e11))]]) ).

cnf(refute_11_174,plain,
    ( e21 != h3(e11)
    | op2(e22,e21) = h3(e11) ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_11_120,refute_11_173]) ).

cnf(refute_11_175,plain,
    e21 != h3(e11),
    inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_11_174,refute_11_172]) ).

cnf(refute_11_176,plain,
    ( h3(e11) != e21
    | e21 = h3(e11) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(h3(e11))),bind(Y,$fot(e21))]]) ).

cnf(refute_11_177,plain,
    h3(e11) != e21,
    inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_11_176,refute_11_175]) ).

cnf(refute_11_178,plain,
    ( h3(e11) = e20
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_11_168,refute_11_177]) ).

cnf(refute_11_179,plain,
    ( e20 != e20
    | h3(e11) != e20
    | h3(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[1],$fot(e20)]]) ).

cnf(refute_11_180,plain,
    ( e20 != e20
    | h3(e11) = e20
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_11_178,refute_11_179]) ).

cnf(refute_11_181,plain,
    ( e20 != e20
    | h3(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_11_180,refute_11_156]) ).

cnf(refute_11_182,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_11_183,plain,
    h3(e11) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_182,refute_11_181]) ).

cnf(refute_11_184,plain,
    op2(e22,h3(e11)) = op2(e22,h3(e11)),
    introduced(tautology,[refl,[$fot(op2(e22,h3(e11)))]]) ).

cnf(refute_11_185,plain,
    ( h3(e11) != e23
    | op2(e22,h3(e11)) != op2(e22,h3(e11))
    | op2(e22,h3(e11)) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) ),[1,1],$fot(e23)]]) ).

cnf(refute_11_186,plain,
    ( h3(e11) != e23
    | op2(e22,h3(e11)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) )],[refute_11_184,refute_11_185]) ).

cnf(refute_11_187,plain,
    op2(e22,h3(e11)) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_11_183,refute_11_186]) ).

cnf(refute_11_188,plain,
    ( h3(e10) != op2(e22,h3(e11))
    | op2(e22,h3(e11)) != op2(e22,e23)
    | h3(e10) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,e23)) ),[0],$fot(op2(e22,h3(e11)))]]) ).

cnf(refute_11_189,plain,
    ( h3(e10) != op2(e22,h3(e11))
    | h3(e10) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,e23)) )],[refute_11_187,refute_11_188]) ).

cnf(refute_11_190,plain,
    h3(e10) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_11_61,refute_11_189]) ).

cnf(refute_11_191,plain,
    ( h3(e10) != op2(e22,e23)
    | op2(e22,e23) = h3(e10) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e23)))]]) ).

cnf(refute_11_192,plain,
    op2(e22,e23) = h3(e10),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_11_190,refute_11_191]) ).

cnf(refute_11_193,plain,
    ( h4(op1(e12,e13)) != h3(e10)
    | op2(e22,e23) != h3(e10)
    | h4(op1(e12,e13)) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e22,e23)) ),[1],$fot(h3(e10))]]) ).

cnf(refute_11_194,plain,
    ( h4(op1(e12,e13)) != h3(e10)
    | h4(op1(e12,e13)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_11_192,refute_11_193]) ).

cnf(refute_11_195,plain,
    h4(op1(e12,e13)) != h3(e10),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e22,e23)) )],[refute_11_194,refute_11_50]) ).

cnf(refute_11_196,plain,
    h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
    inference(canonicalize,[],[normalize_11_42]) ).

cnf(refute_11_197,plain,
    op2(h2(e10),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e10),op2(e21,e21)))]]) ).

cnf(refute_11_198,plain,
    ( op2(e21,e21) != h2(e11)
    | op2(h2(e10),op2(e21,e21)) != op2(h2(e10),op2(e21,e21))
    | op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).

cnf(refute_11_199,plain,
    ( op2(e21,e21) != h2(e11)
    | op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) )],[refute_11_197,refute_11_198]) ).

cnf(refute_11_200,plain,
    op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e11)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_69,refute_11_199]) ).

cnf(refute_11_201,plain,
    h2(e10) = op2(e21,op2(e21,e21)),
    inference(canonicalize,[],[normalize_11_43]) ).

cnf(refute_11_202,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) = h2(e10) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,op2(e21,e21))))]]) ).

cnf(refute_11_203,plain,
    op2(e21,op2(e21,e21)) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_11_201,refute_11_202]) ).

cnf(refute_11_204,plain,
    op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,op2(e21,e21)),op2(e21,e21)))]]) ).

cnf(refute_11_205,plain,
    ( op2(e21,op2(e21,e21)) != h2(e10)
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) != op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(op2(e21,op2(e21,e21)),op2(e21,e21))) ),[1,0],$fot(h2(e10))]]) ).

cnf(refute_11_206,plain,
    ( op2(e21,op2(e21,e21)) != h2(e10)
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(op2(e21,op2(e21,e21)),op2(e21,e21))) )],[refute_11_204,refute_11_205]) ).

cnf(refute_11_207,plain,
    op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),h2(e10)) )],[refute_11_203,refute_11_206]) ).

cnf(refute_11_208,plain,
    ( op2(h2(e10),op2(e21,e21)) != op2(h2(e10),h2(e11))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) != op2(h2(e10),op2(e21,e21))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    inference(subst,[],[refute_11_26:[bind(X,$fot(op2(op2(e21,op2(e21,e21)),op2(e21,e21)))),bind(Y,$fot(op2(h2(e10),op2(e21,e21)))),bind(Z,$fot(op2(h2(e10),h2(e11))))]]) ).

cnf(refute_11_209,plain,
    ( op2(h2(e10),op2(e21,e21)) != op2(h2(e10),h2(e11))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),h2(e11)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) )],[refute_11_207,refute_11_208]) ).

cnf(refute_11_210,plain,
    op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),h2(e11)),
    inference(resolve,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),h2(e11))) )],[refute_11_200,refute_11_209]) ).

cnf(refute_11_211,plain,
    ( h2(e12) != op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    | op2(op2(e21,op2(e21,e21)),op2(e21,e21)) != op2(h2(e10),h2(e11))
    | h2(e12) = op2(h2(e10),h2(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(h2(e10),h2(e11))) ),[0],$fot(op2(op2(e21,op2(e21,e21)),op2(e21,e21)))]]) ).

cnf(refute_11_212,plain,
    ( h2(e12) != op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    | h2(e12) = op2(h2(e10),h2(e11)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),op2(e21,e21)),op2(h2(e10),h2(e11))) )],[refute_11_210,refute_11_211]) ).

cnf(refute_11_213,plain,
    h2(e12) = op2(h2(e10),h2(e11)),
    inference(resolve,[$cnf( $equal(h2(e12),op2(op2(e21,op2(e21,e21)),op2(e21,e21))) )],[refute_11_196,refute_11_212]) ).

cnf(refute_11_214,plain,
    op2(h2(e10),h2(e11)) = op2(h2(e10),h2(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e10),h2(e11)))]]) ).

cnf(refute_11_215,plain,
    ( h2(e11) != e23
    | op2(h2(e10),h2(e11)) != op2(h2(e10),h2(e11))
    | op2(h2(e10),h2(e11)) = op2(h2(e10),e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),h2(e11)),op2(h2(e10),h2(e11))) ),[1,1],$fot(e23)]]) ).

cnf(refute_11_216,plain,
    ( h2(e11) != e23
    | op2(h2(e10),h2(e11)) = op2(h2(e10),e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),h2(e11)),op2(h2(e10),h2(e11))) )],[refute_11_214,refute_11_215]) ).

cnf(refute_11_217,plain,
    op2(h2(e10),h2(e11)) = op2(h2(e10),e23),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_11_132,refute_11_216]) ).

cnf(refute_11_218,plain,
    ( h2(e12) != op2(h2(e10),h2(e11))
    | op2(h2(e10),h2(e11)) != op2(h2(e10),e23)
    | h2(e12) = op2(h2(e10),e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(h2(e10),e23)) ),[0],$fot(op2(h2(e10),h2(e11)))]]) ).

cnf(refute_11_219,plain,
    ( h2(e12) != op2(h2(e10),h2(e11))
    | h2(e12) = op2(h2(e10),e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),h2(e11)),op2(h2(e10),e23)) )],[refute_11_217,refute_11_218]) ).

cnf(refute_11_220,plain,
    h2(e12) = op2(h2(e10),e23),
    inference(resolve,[$cnf( $equal(h2(e12),op2(h2(e10),h2(e11))) )],[refute_11_213,refute_11_219]) ).

cnf(refute_11_221,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    inference(canonicalize,[],[normalize_11_44]) ).

cnf(refute_11_222,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e23) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e21)]]) ).

cnf(refute_11_223,plain,
    ( op2(e23,e23) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_13,refute_11_222]) ).

cnf(refute_11_224,plain,
    ( e21 = e22
    | op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_11_221,refute_11_223]) ).

cnf(refute_11_225,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_11_224,refute_11_112]) ).

cnf(refute_11_226,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(canonicalize,[],[normalize_11_45]) ).

cnf(refute_11_227,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_11_228,plain,
    ( e22 != op2(e20,e23)
    | op2(e20,e21) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_11_34,refute_11_227]) ).

cnf(refute_11_229,plain,
    e22 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_11_228,refute_11_226]) ).

cnf(refute_11_230,plain,
    ( op2(e20,e23) != e22
    | e22 = op2(e20,e23) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_11_231,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_11_230,refute_11_229]) ).

cnf(refute_11_232,plain,
    ( op2(e21,e23) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_11_225,refute_11_231]) ).

cnf(refute_11_233,plain,
    op2(e21,e21) = e23,
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_11_132,refute_11_71]) ).

cnf(refute_11_234,plain,
    op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).

cnf(refute_11_235,plain,
    ( op2(e21,e21) != e23
    | op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(e23)]]) ).

cnf(refute_11_236,plain,
    ( op2(e21,e21) != e23
    | op2(e21,op2(e21,e21)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_11_234,refute_11_235]) ).

cnf(refute_11_237,plain,
    op2(e21,op2(e21,e21)) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_11_233,refute_11_236]) ).

cnf(refute_11_238,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | op2(e21,op2(e21,e21)) != op2(e21,e23)
    | h2(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,e23)) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).

cnf(refute_11_239,plain,
    ( h2(e10) != op2(e21,op2(e21,e21))
    | h2(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,e23)) )],[refute_11_237,refute_11_238]) ).

cnf(refute_11_240,plain,
    h2(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_11_201,refute_11_239]) ).

cnf(refute_11_241,plain,
    ( h2(e10) != op2(e21,e23)
    | op2(e21,e23) = h2(e10) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_11_242,plain,
    op2(e21,e23) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e23)) )],[refute_11_240,refute_11_241]) ).

cnf(refute_11_243,plain,
    ( op2(e21,e23) != e22
    | op2(e21,e23) != h2(e10)
    | h2(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h2(e10))]]) ).

cnf(refute_11_244,plain,
    ( op2(e21,e23) != e22
    | h2(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e10)) )],[refute_11_242,refute_11_243]) ).

cnf(refute_11_245,plain,
    ( h2(e10) = e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_11_232,refute_11_244]) ).

cnf(refute_11_246,plain,
    ( op2(e22,e23) != e22
    | op2(e22,e23) != h3(e10)
    | h3(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0],$fot(h3(e10))]]) ).

cnf(refute_11_247,plain,
    ( op2(e22,e23) != e22
    | h3(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_11_192,refute_11_246]) ).

cnf(refute_11_248,plain,
    ( h2(e10) = e22
    | h3(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_11_245,refute_11_247]) ).

cnf(refute_11_249,plain,
    ( h3(e10) != e22
    | op2(e22,e23) != h3(e10)
    | op2(e22,e23) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),h3(e10)) ),[1],$fot(e22)]]) ).

cnf(refute_11_250,plain,
    ( h3(e10) != e22
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_11_192,refute_11_249]) ).

cnf(refute_11_251,plain,
    h3(e10) != e22,
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_11_250,refute_11_137]) ).

cnf(refute_11_252,plain,
    h2(e10) = e22,
    inference(resolve,[$cnf( $equal(h3(e10),e22) )],[refute_11_248,refute_11_251]) ).

cnf(refute_11_253,plain,
    op2(h2(e10),e23) = op2(h2(e10),e23),
    introduced(tautology,[refl,[$fot(op2(h2(e10),e23))]]) ).

cnf(refute_11_254,plain,
    ( h2(e10) != e22
    | op2(h2(e10),e23) != op2(h2(e10),e23)
    | op2(h2(e10),e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),e23),op2(h2(e10),e23)) ),[1,0],$fot(e22)]]) ).

cnf(refute_11_255,plain,
    ( h2(e10) != e22
    | op2(h2(e10),e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),e23),op2(h2(e10),e23)) )],[refute_11_253,refute_11_254]) ).

cnf(refute_11_256,plain,
    op2(h2(e10),e23) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_11_252,refute_11_255]) ).

cnf(refute_11_257,plain,
    ( op2(e22,e23) != h3(e10)
    | op2(h2(e10),e23) != op2(e22,e23)
    | op2(h2(e10),e23) = h3(e10) ),
    inference(subst,[],[refute_11_26:[bind(X,$fot(op2(h2(e10),e23))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(h3(e10)))]]) ).

cnf(refute_11_258,plain,
    ( op2(e22,e23) != h3(e10)
    | op2(h2(e10),e23) = h3(e10) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),e23),op2(e22,e23)) )],[refute_11_256,refute_11_257]) ).

cnf(refute_11_259,plain,
    op2(h2(e10),e23) = h3(e10),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_11_192,refute_11_258]) ).

cnf(refute_11_260,plain,
    ( h2(e12) != op2(h2(e10),e23)
    | op2(h2(e10),e23) != h3(e10)
    | h2(e12) = h3(e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),h3(e10)) ),[0],$fot(op2(h2(e10),e23))]]) ).

cnf(refute_11_261,plain,
    ( h2(e12) != op2(h2(e10),e23)
    | h2(e12) = h3(e10) ),
    inference(resolve,[$cnf( $equal(op2(h2(e10),e23),h3(e10)) )],[refute_11_259,refute_11_260]) ).

cnf(refute_11_262,plain,
    h2(e12) = h3(e10),
    inference(resolve,[$cnf( $equal(h2(e12),op2(h2(e10),e23)) )],[refute_11_220,refute_11_261]) ).

cnf(refute_11_263,plain,
    ( h2(e12) != h3(e10)
    | h3(e10) = h2(e12) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(h2(e12))),bind(Y,$fot(h3(e10)))]]) ).

cnf(refute_11_264,plain,
    h3(e10) = h2(e12),
    inference(resolve,[$cnf( $equal(h2(e12),h3(e10)) )],[refute_11_262,refute_11_263]) ).

cnf(refute_11_265,plain,
    ( h3(e10) != h2(e12)
    | h4(op1(e12,e13)) != h2(e12)
    | h4(op1(e12,e13)) = h3(e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),h3(e10)) ),[1],$fot(h2(e12))]]) ).

cnf(refute_11_266,plain,
    ( h4(op1(e12,e13)) != h2(e12)
    | h4(op1(e12,e13)) = h3(e10) ),
    inference(resolve,[$cnf( $equal(h3(e10),h2(e12)) )],[refute_11_264,refute_11_265]) ).

cnf(refute_11_267,plain,
    h4(op1(e12,e13)) != h2(e12),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h3(e10)) )],[refute_11_266,refute_11_195]) ).

cnf(refute_11_268,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(canonicalize,[],[normalize_11_46]) ).

cnf(refute_11_269,plain,
    ( op2(e22,e21) != e20
    | op2(e22,e21) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e20) ),[0],$fot(e21)]]) ).

cnf(refute_11_270,plain,
    ( op2(e22,e21) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_11_120,refute_11_269]) ).

cnf(refute_11_271,plain,
    ( e21 = e20
    | op2(e22,e20) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_11_268,refute_11_270]) ).

cnf(refute_11_272,plain,
    ( e21 = e20
    | h3(e11) = e20
    | op2(e22,e20) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_11_271,refute_11_159]) ).

cnf(refute_11_273,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_11_274,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_11_273,refute_11_110]) ).

cnf(refute_11_275,plain,
    ( h3(e11) = e20
    | op2(e22,e20) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_11_272,refute_11_274]) ).

cnf(refute_11_276,plain,
    ( h3(e11) != e20
    | h3(e11) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[0],$fot(e23)]]) ).

cnf(refute_11_277,plain,
    ( h3(e11) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_11_183,refute_11_276]) ).

cnf(refute_11_278,plain,
    ( e23 = e20
    | op2(e22,e20) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_11_275,refute_11_277]) ).

cnf(refute_11_279,plain,
    op2(e22,e20) = e22,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_11_155,refute_11_153]) ).

cnf(refute_11_280,plain,
    ( op2(e22,e20) != e20
    | op2(e22,e20) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(e22)]]) ).

cnf(refute_11_281,plain,
    ( op2(e22,e20) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_11_279,refute_11_280]) ).

cnf(refute_11_282,plain,
    ( e22 = e20
    | e23 = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_11_278,refute_11_281]) ).

cnf(refute_11_283,plain,
    ( h3(e10) != h2(e12)
    | h3(e10) != op2(e22,e23)
    | h2(e12) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,e23)) ),[0],$fot(h2(e12))]]) ).

cnf(refute_11_284,plain,
    ( h3(e10) != op2(e22,e23)
    | h2(e12) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(h3(e10),h2(e12)) )],[refute_11_264,refute_11_283]) ).

cnf(refute_11_285,plain,
    h2(e12) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_11_190,refute_11_284]) ).

cnf(refute_11_286,plain,
    ( h2(e12) != op2(e22,e23)
    | op2(e22,e23) = h2(e12) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e22,e23)))]]) ).

cnf(refute_11_287,plain,
    op2(e22,e23) = h2(e12),
    inference(resolve,[$cnf( $equal(h2(e12),op2(e22,e23)) )],[refute_11_285,refute_11_286]) ).

cnf(refute_11_288,plain,
    ( op2(e22,e23) != e20
    | op2(e22,e23) != h2(e12)
    | h2(e12) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(h2(e12))]]) ).

cnf(refute_11_289,plain,
    ( op2(e22,e23) != e20
    | h2(e12) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),h2(e12)) )],[refute_11_287,refute_11_288]) ).

cnf(refute_11_290,plain,
    ( e22 = e20
    | e23 = e20
    | h2(e12) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_11_282,refute_11_289]) ).

cnf(refute_11_291,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_11_47]) ).

cnf(refute_11_292,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_11_293,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_11_292,refute_11_291]) ).

cnf(refute_11_294,plain,
    ( e23 = e20
    | h2(e12) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_11_290,refute_11_293]) ).

cnf(refute_11_295,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_11_296,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_295,refute_11_127]) ).

cnf(refute_11_297,plain,
    h2(e12) = e20,
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_294,refute_11_296]) ).

cnf(refute_11_298,plain,
    ( h2(e12) != e20
    | h4(op1(e12,e13)) != e20
    | h4(op1(e12,e13)) = h2(e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),h2(e12)) ),[1],$fot(e20)]]) ).

cnf(refute_11_299,plain,
    ( h4(op1(e12,e13)) != e20
    | h4(op1(e12,e13)) = h2(e12) ),
    inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_11_297,refute_11_298]) ).

cnf(refute_11_300,plain,
    h4(op1(e12,e13)) != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h2(e12)) )],[refute_11_299,refute_11_267]) ).

cnf(refute_11_301,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_11_48]) ).

cnf(refute_11_302,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_11_303,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_11_20,refute_11_302]) ).

cnf(refute_11_304,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_11_301,refute_11_303]) ).

cnf(refute_11_305,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    inference(canonicalize,[],[normalize_11_50]) ).

cnf(refute_11_306,plain,
    op1(e12,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_11_52]) ).

cnf(refute_11_307,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_11_54]) ).

cnf(refute_11_308,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_11_309,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_11_307,refute_11_308]) ).

cnf(refute_11_310,plain,
    ( op1(e12,e13) != e11
    | op1(e13,e13) != e11
    | op1(e12,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_11_311,plain,
    ( op1(e12,e13) != e11
    | op1(e12,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_309,refute_11_310]) ).

cnf(refute_11_312,plain,
    op1(e12,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_11_311,refute_11_306]) ).

cnf(refute_11_313,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_11_305,refute_11_312]) ).

cnf(refute_11_314,plain,
    ( op1(e11,e11) != e13
    | op1(e12,e13) != e12 ),
    inference(canonicalize,[],[normalize_11_56]) ).

cnf(refute_11_315,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_11_58]) ).

cnf(refute_11_316,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_11_59]) ).

cnf(refute_11_317,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_11_318,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_11_319,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_11_317,refute_11_318]) ).

cnf(refute_11_320,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_309,refute_11_319]) ).

cnf(refute_11_321,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_11_60]) ).

cnf(refute_11_322,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_11_323,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_11_321,refute_11_322]) ).

cnf(refute_11_324,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_11_325,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_11_326,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_11_324,refute_11_325]) ).

cnf(refute_11_327,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_11_323,refute_11_326]) ).

cnf(refute_11_328,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_11_26:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_11_329,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_11_327,refute_11_328]) ).

cnf(refute_11_330,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_11_320,refute_11_329]) ).

cnf(refute_11_331,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_11_332,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_11_330,refute_11_331]) ).

cnf(refute_11_333,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_11_316,refute_11_332]) ).

cnf(refute_11_334,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_11_335,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_11_333,refute_11_334]) ).

cnf(refute_11_336,plain,
    ( op1(e10,e11) != e12
    | op1(e10,e11) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).

cnf(refute_11_337,plain,
    ( op1(e10,e11) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_11_335,refute_11_336]) ).

cnf(refute_11_338,plain,
    ( e12 = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_11_315,refute_11_337]) ).

cnf(refute_11_339,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_11_61]) ).

cnf(refute_11_340,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_11_341,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_11_335,refute_11_340]) ).

cnf(refute_11_342,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_11_339,refute_11_341]) ).

cnf(refute_11_343,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_11_62]) ).

cnf(refute_11_344,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_11_63]) ).

cnf(refute_11_345,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_11_346,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_309,refute_11_345]) ).

cnf(refute_11_347,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_11_346,refute_11_344]) ).

cnf(refute_11_348,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_11_343,refute_11_347]) ).

cnf(refute_11_349,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_11_64]) ).

cnf(refute_11_350,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_11_351,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_11_335,refute_11_350]) ).

cnf(refute_11_352,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_11_351,refute_11_349]) ).

cnf(refute_11_353,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_11_354,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_11_353,refute_11_352]) ).

cnf(refute_11_355,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_11_348,refute_11_354]) ).

cnf(refute_11_356,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_11_65]) ).

cnf(refute_11_357,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_11_358,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_309,refute_11_357]) ).

cnf(refute_11_359,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_358,refute_11_356]) ).

cnf(refute_11_360,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_11_361,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_11_360,refute_11_359]) ).

cnf(refute_11_362,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_11_355,refute_11_361]) ).

cnf(refute_11_363,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_11_364,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_11_362,refute_11_363]) ).

cnf(refute_11_365,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_11_342,refute_11_364]) ).

cnf(refute_11_366,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_11_67]) ).

cnf(refute_11_367,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_11_365,refute_11_366]) ).

cnf(refute_11_368,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_11_68]) ).

cnf(refute_11_369,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_11_370,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_11_369,refute_11_368]) ).

cnf(refute_11_371,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_11_367,refute_11_370]) ).

cnf(refute_11_372,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_11_69]) ).

cnf(refute_11_373,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_11_371,refute_11_372]) ).

cnf(refute_11_374,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[0],$fot(e11)]]) ).

cnf(refute_11_375,plain,
    ( op1(e12,e11) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_11_373,refute_11_374]) ).

cnf(refute_11_376,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_11_338,refute_11_375]) ).

cnf(refute_11_377,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_11_378,plain,
    ( op1(e13,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_11_362,refute_11_377]) ).

cnf(refute_11_379,plain,
    ( e10 = e13
    | e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_11_376,refute_11_378]) ).

cnf(refute_11_380,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_11_70]) ).

cnf(refute_11_381,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_11_379,refute_11_380]) ).

cnf(refute_11_382,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_11_71]) ).

cnf(refute_11_383,plain,
    ( e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_11_381,refute_11_382]) ).

cnf(refute_11_384,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_11_72]) ).

cnf(refute_11_385,plain,
    op1(e11,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_11_383,refute_11_384]) ).

cnf(refute_11_386,plain,
    ( e13 != e13
    | op1(e11,e11) != e13
    | op1(e11,e11) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[1],$fot(e13)]]) ).

cnf(refute_11_387,plain,
    ( e13 != e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_11_385,refute_11_386]) ).

cnf(refute_11_388,plain,
    ( e13 != e13
    | op1(e12,e13) != e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_11_387,refute_11_314]) ).

cnf(refute_11_389,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_11_390,plain,
    op1(e12,e13) != e12,
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_11_389,refute_11_388]) ).

cnf(refute_11_391,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_11_313,refute_11_390]) ).

cnf(refute_11_392,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(canonicalize,[],[normalize_11_73]) ).

cnf(refute_11_393,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(canonicalize,[],[normalize_11_74]) ).

cnf(refute_11_394,plain,
    ( h2(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_11_71,refute_11_393]) ).

cnf(refute_11_395,plain,
    ( e23 != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_11_134,refute_11_394]) ).

cnf(refute_11_396,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_136,refute_11_395]) ).

cnf(refute_11_397,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(canonicalize,[],[normalize_11_75]) ).

cnf(refute_11_398,plain,
    op2(e20,h4(e13)) = op2(e20,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).

cnf(refute_11_399,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) != op2(e20,h4(e13))
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_11_400,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_11_398,refute_11_399]) ).

cnf(refute_11_401,plain,
    op2(e20,h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_1,refute_11_400]) ).

cnf(refute_11_402,plain,
    op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_11_403,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_11_404,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_11_402,refute_11_403]) ).

cnf(refute_11_405,plain,
    op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_304,refute_11_404]) ).

cnf(refute_11_406,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(subst,[],[refute_11_26:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).

cnf(refute_11_407,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_11_405,refute_11_406]) ).

cnf(refute_11_408,plain,
    op2(h4(e10),h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_11_401,refute_11_407]) ).

cnf(refute_11_409,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) != op2(e20,e23)
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_11_410,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_11_408,refute_11_409]) ).

cnf(refute_11_411,plain,
    h4(op1(e10,e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_11_397,refute_11_410]) ).

cnf(refute_11_412,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_11_76]) ).

cnf(refute_11_413,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_11_77]) ).

cnf(refute_11_414,plain,
    ( op1(e10,e13) != e11
    | op1(e13,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_11_415,plain,
    ( op1(e10,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_309,refute_11_414]) ).

cnf(refute_11_416,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_11_415,refute_11_413]) ).

cnf(refute_11_417,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_11_412,refute_11_416]) ).

cnf(refute_11_418,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(canonicalize,[],[normalize_11_78]) ).

cnf(refute_11_419,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_11_420,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e11) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_11_335,refute_11_419]) ).

cnf(refute_11_421,plain,
    e12 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_11_420,refute_11_418]) ).

cnf(refute_11_422,plain,
    ( op1(e10,e13) != e12
    | e12 = op1(e10,e13) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_11_423,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_11_422,refute_11_421]) ).

cnf(refute_11_424,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_11_417,refute_11_423]) ).

cnf(refute_11_425,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | op1(e10,e13) != e10
    | h4(e10) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e10)]]) ).

cnf(refute_11_426,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | h4(e10) = op2(e20,e23)
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_11_424,refute_11_425]) ).

cnf(refute_11_427,plain,
    ( h4(e10) = op2(e20,e23)
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_11_411,refute_11_426]) ).

cnf(refute_11_428,plain,
    ( h4(e10) != e20
    | h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e23)) ),[0],$fot(e20)]]) ).

cnf(refute_11_429,plain,
    ( h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_304,refute_11_428]) ).

cnf(refute_11_430,plain,
    ( e20 = op2(e20,e23)
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e23)) )],[refute_11_427,refute_11_429]) ).

cnf(refute_11_431,plain,
    ( e20 != op2(e20,e23)
    | op2(e20,e23) = e20 ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e23)))]]) ).

cnf(refute_11_432,plain,
    ( op1(e10,e13) = e13
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_11_430,refute_11_431]) ).

cnf(refute_11_433,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | op2(e20,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_11_434,plain,
    ( e20 != e20
    | op1(e10,e13) = e13
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_11_432,refute_11_433]) ).

cnf(refute_11_435,plain,
    ( e20 != e20
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_11_434,refute_11_396]) ).

cnf(refute_11_436,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_182,refute_11_435]) ).

cnf(refute_11_437,plain,
    ( e13 != op1(e12,e13)
    | op1(e10,e13) != e13
    | op1(e10,e13) = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[1],$fot(op1(e12,e13))]]) ).

cnf(refute_11_438,plain,
    ( e13 != op1(e12,e13)
    | op1(e10,e13) = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_11_436,refute_11_437]) ).

cnf(refute_11_439,plain,
    e13 != op1(e12,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_11_438,refute_11_392]) ).

cnf(refute_11_440,plain,
    ( op1(e12,e13) != e13
    | e13 = op1(e12,e13) ),
    inference(subst,[],[refute_11_11:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).

cnf(refute_11_441,plain,
    op1(e12,e13) != e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_11_440,refute_11_439]) ).

cnf(refute_11_442,plain,
    op1(e12,e13) = e10,
    inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_11_391,refute_11_441]) ).

cnf(refute_11_443,plain,
    h4(op1(e12,e13)) = h4(op1(e12,e13)),
    introduced(tautology,[refl,[$fot(h4(op1(e12,e13)))]]) ).

cnf(refute_11_444,plain,
    ( h4(op1(e12,e13)) != h4(op1(e12,e13))
    | op1(e12,e13) != e10
    | h4(op1(e12,e13)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_11_445,plain,
    ( op1(e12,e13) != e10
    | h4(op1(e12,e13)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) )],[refute_11_443,refute_11_444]) ).

cnf(refute_11_446,plain,
    h4(op1(e12,e13)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_11_442,refute_11_445]) ).

cnf(refute_11_447,plain,
    ( h4(e10) != e20
    | h4(op1(e12,e13)) != h4(e10)
    | h4(op1(e12,e13)) = e20 ),
    inference(subst,[],[refute_11_26:[bind(X,$fot(h4(op1(e12,e13)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_11_448,plain,
    ( h4(e10) != e20
    | h4(op1(e12,e13)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(e10)) )],[refute_11_446,refute_11_447]) ).

cnf(refute_11_449,plain,
    h4(op1(e12,e13)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_304,refute_11_448]) ).

cnf(refute_11_450,plain,
    ( e20 != e20
    | h4(op1(e12,e13)) != e20
    | h4(op1(e12,e13)) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),e20) ),[1],$fot(e20)]]) ).

cnf(refute_11_451,plain,
    ( e20 != e20
    | h4(op1(e12,e13)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e20) )],[refute_11_449,refute_11_450]) ).

cnf(refute_11_452,plain,
    e20 != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e20) )],[refute_11_451,refute_11_300]) ).

cnf(refute_11_453,plain,
    $false,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_182,refute_11_452]) ).

fof(negate_12_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
     => h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    inference(negate,[],[subgoal_12]) ).

fof(normalize_12_0,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_12_1,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    inference(conjunct,[],[normalize_12_0]) ).

fof(normalize_12_2,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_12_3,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_12_2]) ).

fof(normalize_12_4,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_12_5,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_12_4]) ).

fof(normalize_12_6,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_12_7,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_12_6]) ).

fof(normalize_12_8,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_12_4]) ).

fof(normalize_12_9,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_12_6]) ).

fof(normalize_12_10,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_12_6]) ).

fof(normalize_12_11,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_12_12,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_12_11]) ).

fof(normalize_12_13,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_12_14,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_12_13]) ).

fof(normalize_12_15,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_12_13]) ).

fof(normalize_12_16,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(conjunct,[],[normalize_12_0]) ).

fof(normalize_12_17,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_12_18,plain,
    h3(e11) = op2(e22,e22),
    inference(conjunct,[],[normalize_12_17]) ).

fof(normalize_12_19,plain,
    op2(e22,e22) != e22,
    inference(conjunct,[],[normalize_12_11]) ).

fof(normalize_12_20,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(conjunct,[],[normalize_12_4]) ).

fof(normalize_12_21,plain,
    ( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_12_0]) ).

fof(normalize_12_22,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_12_23,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_12_22]) ).

fof(normalize_12_24,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_12_25,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_12_24]) ).

fof(normalize_12_26,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_12_17]) ).

fof(normalize_12_27,plain,
    ( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_12_21,normalize_12_23,normalize_12_25,normalize_12_26]) ).

fof(normalize_12_28,plain,
    h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
    inference(conjunct,[],[normalize_12_27]) ).

fof(normalize_12_29,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_12_30,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_12_29]) ).

fof(normalize_12_31,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_12_29]) ).

fof(normalize_12_32,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_12_33,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(conjunct,[],[normalize_12_32]) ).

fof(normalize_12_34,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_12_32]) ).

fof(normalize_12_35,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_12_36,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_12_35]) ).

fof(normalize_12_37,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_12_35]) ).

fof(normalize_12_38,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_12_35]) ).

fof(normalize_12_39,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(conjunct,[],[normalize_12_32]) ).

fof(normalize_12_40,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_12_41,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_12_40]) ).

fof(normalize_12_42,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_12_43,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_12_42]) ).

fof(normalize_12_44,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_12_42]) ).

fof(normalize_12_45,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_12_46,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_12_45]) ).

fof(normalize_12_47,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_12_48,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_12_47]) ).

fof(normalize_12_49,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_12_47]) ).

fof(normalize_12_50,plain,
    op1(e11,e11) != e11,
    inference(conjunct,[],[normalize_12_45]) ).

fof(normalize_12_51,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_12_47]) ).

fof(normalize_12_52,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_12_47]) ).

fof(normalize_12_53,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_12_47]) ).

fof(normalize_12_54,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_12_42]) ).

fof(normalize_12_55,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(conjunct,[],[normalize_12_42]) ).

fof(normalize_12_56,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_12_42]) ).

fof(normalize_12_57,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(conjunct,[],[normalize_12_27]) ).

fof(normalize_12_58,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_12_29]) ).

fof(normalize_12_59,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_12_29]) ).

fof(normalize_12_60,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_12_40]) ).

fof(normalize_12_61,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_12_42]) ).

fof(normalize_12_62,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(conjunct,[],[normalize_12_42]) ).

fof(normalize_12_63,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(conjunct,[],[normalize_12_11]) ).

fof(normalize_12_64,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_12_24]) ).

fof(normalize_12_65,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_12_0]) ).

fof(normalize_12_66,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_12_0]) ).

fof(normalize_12_67,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_12_13]) ).

fof(normalize_12_68,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_12_13]) ).

fof(normalize_12_69,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_12_11]) ).

fof(normalize_12_70,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_12_13]) ).

fof(normalize_12_71,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(conjunct,[],[normalize_12_40]) ).

fof(normalize_12_72,plain,
    op1(e10,e10) != e10,
    inference(conjunct,[],[normalize_12_45]) ).

fof(normalize_12_73,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(conjunct,[],[normalize_12_42]) ).

fof(normalize_12_74,plain,
    h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
    inference(conjunct,[],[normalize_12_27]) ).

fof(normalize_12_75,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    inference(conjunct,[],[normalize_12_32]) ).

fof(normalize_12_76,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(conjunct,[],[normalize_12_32]) ).

fof(normalize_12_77,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(conjunct,[],[normalize_12_42]) ).

fof(normalize_12_78,plain,
    op1(e12,e12) != e12,
    inference(conjunct,[],[normalize_12_45]) ).

cnf(refute_12_0,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    inference(canonicalize,[],[normalize_12_1]) ).

cnf(refute_12_1,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_12_3]) ).

cnf(refute_12_2,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_12_5]) ).

cnf(refute_12_3,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_12_7]) ).

cnf(refute_12_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_12_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_12_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_12_4,refute_12_5]) ).

cnf(refute_12_7,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_12_8,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_12_3,refute_12_7]) ).

cnf(refute_12_9,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_12_10,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_8,refute_12_9]) ).

cnf(refute_12_11,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_12_10,refute_12_2]) ).

cnf(refute_12_12,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_12_1,refute_12_11]) ).

cnf(refute_12_13,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_12_8]) ).

cnf(refute_12_14,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_12_9]) ).

cnf(refute_12_15,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_12_16,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_12_17,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_12_15,refute_12_16]) ).

cnf(refute_12_18,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_8,refute_12_17]) ).

cnf(refute_12_19,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_12_10]) ).

cnf(refute_12_20,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_12_21,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_12_19,refute_12_20]) ).

cnf(refute_12_22,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_12_23,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_12_24,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_12_22,refute_12_23]) ).

cnf(refute_12_25,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_12_21,refute_12_24]) ).

cnf(refute_12_26,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_12_27,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_12_6,refute_12_26]) ).

cnf(refute_12_28,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_12_27:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_12_29,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_12_25,refute_12_28]) ).

cnf(refute_12_30,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_12_18,refute_12_29]) ).

cnf(refute_12_31,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_12_32,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_12_30,refute_12_31]) ).

cnf(refute_12_33,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_12_14,refute_12_32]) ).

cnf(refute_12_34,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_12_35,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_12_33,refute_12_34]) ).

cnf(refute_12_36,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_12_37,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_12_35,refute_12_36]) ).

cnf(refute_12_38,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_12_37,refute_12_13]) ).

cnf(refute_12_39,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_12_40,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_12_39,refute_12_38]) ).

cnf(refute_12_41,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_12_12,refute_12_40]) ).

cnf(refute_12_42,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_12_12]) ).

cnf(refute_12_43,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_12_44,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_8,refute_12_43]) ).

cnf(refute_12_45,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_44,refute_12_42]) ).

cnf(refute_12_46,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_12_47,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_46,refute_12_45]) ).

cnf(refute_12_48,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_41,refute_12_47]) ).

cnf(refute_12_49,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_12_50,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_12_48,refute_12_49]) ).

cnf(refute_12_51,plain,
    ( e20 = e23
    | op2(e23,e20) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_0,refute_12_50]) ).

cnf(refute_12_52,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e23) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).

cnf(refute_12_53,plain,
    ( op2(e23,e23) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_8,refute_12_52]) ).

cnf(refute_12_54,plain,
    ( e20 = e23
    | e21 = e23
    | op2(e23,e20) = e23
    | op2(e23,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_12_51,refute_12_53]) ).

cnf(refute_12_55,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_12_14]) ).

cnf(refute_12_56,plain,
    ( e21 = e23
    | op2(e23,e20) = e23
    | op2(e23,e22) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_12_54,refute_12_55]) ).

cnf(refute_12_57,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_12_15]) ).

cnf(refute_12_58,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e22) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_56,refute_12_57]) ).

cnf(refute_12_59,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(canonicalize,[],[normalize_12_16]) ).

cnf(refute_12_60,plain,
    h3(e11) = op2(e22,e22),
    inference(canonicalize,[],[normalize_12_18]) ).

cnf(refute_12_61,plain,
    ( h3(e11) != op2(e22,e22)
    | op2(e22,e22) = h3(e11) ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_12_62,plain,
    op2(e22,e22) = h3(e11),
    inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_12_60,refute_12_61]) ).

cnf(refute_12_63,plain,
    ( op2(e22,e22) != e22
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).

cnf(refute_12_64,plain,
    ( op2(e22,e22) != e22
    | h3(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_12_62,refute_12_63]) ).

cnf(refute_12_65,plain,
    ( h3(e11) = e22
    | op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_12_59,refute_12_64]) ).

cnf(refute_12_66,plain,
    op2(e22,e22) != e22,
    inference(canonicalize,[],[normalize_12_19]) ).

cnf(refute_12_67,plain,
    ( h3(e11) != e22
    | op2(e22,e22) != h3(e11)
    | op2(e22,e22) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e22)]]) ).

cnf(refute_12_68,plain,
    ( h3(e11) != e22
    | op2(e22,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_12_62,refute_12_67]) ).

cnf(refute_12_69,plain,
    h3(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_12_68,refute_12_66]) ).

cnf(refute_12_70,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_12_65,refute_12_69]) ).

cnf(refute_12_71,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(canonicalize,[],[normalize_12_20]) ).

cnf(refute_12_72,plain,
    ( e22 != op2(e20,e22)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_12_73,plain,
    ( e22 != op2(e20,e22)
    | op2(e20,e21) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_12_35,refute_12_72]) ).

cnf(refute_12_74,plain,
    e22 != op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_12_73,refute_12_71]) ).

cnf(refute_12_75,plain,
    ( op2(e20,e22) != e22
    | e22 = op2(e20,e22) ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).

cnf(refute_12_76,plain,
    op2(e20,e22) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_12_75,refute_12_74]) ).

cnf(refute_12_77,plain,
    ( op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_12_70,refute_12_76]) ).

cnf(refute_12_78,plain,
    h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
    inference(canonicalize,[],[normalize_12_28]) ).

cnf(refute_12_79,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_12_30]) ).

cnf(refute_12_80,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_12_27:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_12_81,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_12_30,refute_12_80]) ).

cnf(refute_12_82,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_12_35,refute_12_81]) ).

cnf(refute_12_83,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_12_84,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_12_82,refute_12_83]) ).

cnf(refute_12_85,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_12_79,refute_12_84]) ).

cnf(refute_12_86,plain,
    op2(e21,h4(e12)) = op2(e21,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).

cnf(refute_12_87,plain,
    ( h4(e12) != e22
    | op2(e21,h4(e12)) != op2(e21,h4(e12))
    | op2(e21,h4(e12)) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_12_88,plain,
    ( h4(e12) != e22
    | op2(e21,h4(e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_12_86,refute_12_87]) ).

cnf(refute_12_89,plain,
    op2(e21,h4(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_12_85,refute_12_88]) ).

cnf(refute_12_90,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_12_31]) ).

cnf(refute_12_91,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_12_92,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_8,refute_12_91]) ).

cnf(refute_12_93,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_12_90,refute_12_92]) ).

cnf(refute_12_94,plain,
    op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).

cnf(refute_12_95,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
    | op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).

cnf(refute_12_96,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_12_94,refute_12_95]) ).

cnf(refute_12_97,plain,
    op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_12_93,refute_12_96]) ).

cnf(refute_12_98,plain,
    ( op2(e21,h4(e12)) != op2(e21,e22)
    | op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
    | op2(h4(e11),h4(e12)) = op2(e21,e22) ),
    inference(subst,[],[refute_12_27:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).

cnf(refute_12_99,plain,
    ( op2(e21,h4(e12)) != op2(e21,e22)
    | op2(h4(e11),h4(e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_12_97,refute_12_98]) ).

cnf(refute_12_100,plain,
    op2(h4(e11),h4(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_12_89,refute_12_99]) ).

cnf(refute_12_101,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | op2(h4(e11),h4(e12)) != op2(e21,e22)
    | h4(op1(e11,e12)) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).

cnf(refute_12_102,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_12_100,refute_12_101]) ).

cnf(refute_12_103,plain,
    h4(op1(e11,e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_12_78,refute_12_102]) ).

cnf(refute_12_104,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(canonicalize,[],[normalize_12_33]) ).

cnf(refute_12_105,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_12_34]) ).

cnf(refute_12_106,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_12_36]) ).

cnf(refute_12_107,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_12_37]) ).

cnf(refute_12_108,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_12_109,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_12_107,refute_12_108]) ).

cnf(refute_12_110,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_12_111,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_12_112,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_12_110,refute_12_111]) ).

cnf(refute_12_113,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_109,refute_12_112]) ).

cnf(refute_12_114,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_12_38]) ).

cnf(refute_12_115,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_12_116,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_12_114,refute_12_115]) ).

cnf(refute_12_117,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_12_118,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_12_119,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_12_117,refute_12_118]) ).

cnf(refute_12_120,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_12_116,refute_12_119]) ).

cnf(refute_12_121,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_12_27:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_12_122,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_12_120,refute_12_121]) ).

cnf(refute_12_123,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_12_113,refute_12_122]) ).

cnf(refute_12_124,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_12_125,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_12_123,refute_12_124]) ).

cnf(refute_12_126,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_12_106,refute_12_125]) ).

cnf(refute_12_127,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_12_128,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_12_126,refute_12_127]) ).

cnf(refute_12_129,plain,
    ( op1(e10,e11) != e12
    | op1(e10,e11) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).

cnf(refute_12_130,plain,
    ( op1(e10,e11) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_12_128,refute_12_129]) ).

cnf(refute_12_131,plain,
    ( e12 = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_12_105,refute_12_130]) ).

cnf(refute_12_132,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(canonicalize,[],[normalize_12_39]) ).

cnf(refute_12_133,plain,
    ( op1(e10,e11) != e11
    | op1(e10,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_12_134,plain,
    ( op1(e10,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_12_128,refute_12_133]) ).

cnf(refute_12_135,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_12_132,refute_12_134]) ).

cnf(refute_12_136,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_12_41]) ).

cnf(refute_12_137,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_12_43]) ).

cnf(refute_12_138,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_12_139,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_109,refute_12_138]) ).

cnf(refute_12_140,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_12_139,refute_12_137]) ).

cnf(refute_12_141,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_12_136,refute_12_140]) ).

cnf(refute_12_142,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_12_44]) ).

cnf(refute_12_143,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_12_144,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_12_128,refute_12_143]) ).

cnf(refute_12_145,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_12_144,refute_12_142]) ).

cnf(refute_12_146,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_12_147,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_12_146,refute_12_145]) ).

cnf(refute_12_148,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_12_141,refute_12_147]) ).

cnf(refute_12_149,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_12_46]) ).

cnf(refute_12_150,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_12_151,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_109,refute_12_150]) ).

cnf(refute_12_152,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_151,refute_12_149]) ).

cnf(refute_12_153,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_12_154,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_12_153,refute_12_152]) ).

cnf(refute_12_155,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_12_148,refute_12_154]) ).

cnf(refute_12_156,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e10)]]) ).

cnf(refute_12_157,plain,
    ( op1(e13,e11) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_12_155,refute_12_156]) ).

cnf(refute_12_158,plain,
    ( e10 = e11
    | e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_12_135,refute_12_157]) ).

cnf(refute_12_159,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_12_48]) ).

cnf(refute_12_160,plain,
    ( e12 = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_12_158,refute_12_159]) ).

cnf(refute_12_161,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_12_49]) ).

cnf(refute_12_162,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_12_163,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_12_162,refute_12_161]) ).

cnf(refute_12_164,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_12_160,refute_12_163]) ).

cnf(refute_12_165,plain,
    op1(e11,e11) != e11,
    inference(canonicalize,[],[normalize_12_50]) ).

cnf(refute_12_166,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_12_164,refute_12_165]) ).

cnf(refute_12_167,plain,
    ( op1(e12,e11) != e11
    | op1(e12,e11) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[0],$fot(e11)]]) ).

cnf(refute_12_168,plain,
    ( op1(e12,e11) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_12_166,refute_12_167]) ).

cnf(refute_12_169,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_12_131,refute_12_168]) ).

cnf(refute_12_170,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_12_171,plain,
    ( op1(e13,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_12_155,refute_12_170]) ).

cnf(refute_12_172,plain,
    ( e10 = e13
    | e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_12_169,refute_12_171]) ).

cnf(refute_12_173,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_12_51]) ).

cnf(refute_12_174,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_12_172,refute_12_173]) ).

cnf(refute_12_175,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_12_52]) ).

cnf(refute_12_176,plain,
    ( e12 = e13
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_12_174,refute_12_175]) ).

cnf(refute_12_177,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_12_53]) ).

cnf(refute_12_178,plain,
    op1(e11,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_12_176,refute_12_177]) ).

cnf(refute_12_179,plain,
    ( op1(e11,e11) != e11
    | op1(e11,e11) != e13
    | e13 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e13)]]) ).

cnf(refute_12_180,plain,
    ( op1(e11,e11) != e11
    | e13 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_12_178,refute_12_179]) ).

cnf(refute_12_181,plain,
    ( e13 = e11
    | op1(e11,e10) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_12_104,refute_12_180]) ).

cnf(refute_12_182,plain,
    ( e13 != e11
    | e11 = e13 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).

cnf(refute_12_183,plain,
    e13 != e11,
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_12_182,refute_12_175]) ).

cnf(refute_12_184,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e13,e11) )],[refute_12_181,refute_12_183]) ).

cnf(refute_12_185,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_12_54]) ).

cnf(refute_12_186,plain,
    ( op1(e11,e13) != e11
    | op1(e13,e13) != e11
    | op1(e11,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_12_187,plain,
    ( op1(e11,e13) != e11
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_109,refute_12_186]) ).

cnf(refute_12_188,plain,
    op1(e11,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_12_187,refute_12_185]) ).

cnf(refute_12_189,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e12) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_12_184,refute_12_188]) ).

cnf(refute_12_190,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(canonicalize,[],[normalize_12_55]) ).

cnf(refute_12_191,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_12_56]) ).

cnf(refute_12_192,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(canonicalize,[],[normalize_12_57]) ).

cnf(refute_12_193,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_12_58]) ).

cnf(refute_12_194,plain,
    op2(e20,h4(e13)) = op2(e20,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).

cnf(refute_12_195,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) != op2(e20,h4(e13))
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_12_196,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_12_194,refute_12_195]) ).

cnf(refute_12_197,plain,
    op2(e20,h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_193,refute_12_196]) ).

cnf(refute_12_198,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_12_59]) ).

cnf(refute_12_199,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_12_200,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_12_21,refute_12_199]) ).

cnf(refute_12_201,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_12_198,refute_12_200]) ).

cnf(refute_12_202,plain,
    op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_12_203,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_12_204,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_12_202,refute_12_203]) ).

cnf(refute_12_205,plain,
    op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_201,refute_12_204]) ).

cnf(refute_12_206,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(subst,[],[refute_12_27:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).

cnf(refute_12_207,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_12_205,refute_12_206]) ).

cnf(refute_12_208,plain,
    op2(h4(e10),h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_12_197,refute_12_207]) ).

cnf(refute_12_209,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) != op2(e20,e23)
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_12_210,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_12_208,refute_12_209]) ).

cnf(refute_12_211,plain,
    h4(op1(e10,e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_12_192,refute_12_210]) ).

cnf(refute_12_212,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_12_60]) ).

cnf(refute_12_213,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_12_61]) ).

cnf(refute_12_214,plain,
    ( op1(e10,e13) != e11
    | op1(e13,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_12_215,plain,
    ( op1(e10,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_109,refute_12_214]) ).

cnf(refute_12_216,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_12_215,refute_12_213]) ).

cnf(refute_12_217,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_12_212,refute_12_216]) ).

cnf(refute_12_218,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(canonicalize,[],[normalize_12_62]) ).

cnf(refute_12_219,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_12_220,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e11) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_12_128,refute_12_219]) ).

cnf(refute_12_221,plain,
    e12 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_12_220,refute_12_218]) ).

cnf(refute_12_222,plain,
    ( op1(e10,e13) != e12
    | e12 = op1(e10,e13) ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_12_223,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_12_222,refute_12_221]) ).

cnf(refute_12_224,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_12_217,refute_12_223]) ).

cnf(refute_12_225,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | op1(e10,e13) != e10
    | h4(e10) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e10)]]) ).

cnf(refute_12_226,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | h4(e10) = op2(e20,e23)
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_12_224,refute_12_225]) ).

cnf(refute_12_227,plain,
    ( h4(e10) = op2(e20,e23)
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_12_211,refute_12_226]) ).

cnf(refute_12_228,plain,
    ( h4(e10) != e20
    | h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e23)) ),[0],$fot(e20)]]) ).

cnf(refute_12_229,plain,
    ( h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_201,refute_12_228]) ).

cnf(refute_12_230,plain,
    ( e20 = op2(e20,e23)
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e23)) )],[refute_12_227,refute_12_229]) ).

cnf(refute_12_231,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(canonicalize,[],[normalize_12_63]) ).

cnf(refute_12_232,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_12_64]) ).

cnf(refute_12_233,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_12_234,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_12_232,refute_12_233]) ).

cnf(refute_12_235,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_12_236,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_234,refute_12_235]) ).

cnf(refute_12_237,plain,
    ( h2(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_12_236,refute_12_231]) ).

cnf(refute_12_238,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_12_65]) ).

cnf(refute_12_239,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_12_240,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_12_35,refute_12_239]) ).

cnf(refute_12_241,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_12_238,refute_12_240]) ).

cnf(refute_12_242,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_12_243,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_234,refute_12_242]) ).

cnf(refute_12_244,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_12_241,refute_12_243]) ).

cnf(refute_12_245,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_12_66]) ).

cnf(refute_12_246,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_12_247,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_12_35,refute_12_246]) ).

cnf(refute_12_248,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_12_245,refute_12_247]) ).

cnf(refute_12_249,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_12_250,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_234,refute_12_249]) ).

cnf(refute_12_251,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_12_248,refute_12_250]) ).

cnf(refute_12_252,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_12_253,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_12_48,refute_12_252]) ).

cnf(refute_12_254,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_12_251,refute_12_253]) ).

cnf(refute_12_255,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_12_67]) ).

cnf(refute_12_256,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_12_254,refute_12_255]) ).

cnf(refute_12_257,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_12_68]) ).

cnf(refute_12_258,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_12_259,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_258,refute_12_257]) ).

cnf(refute_12_260,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_12_256,refute_12_259]) ).

cnf(refute_12_261,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_12_69]) ).

cnf(refute_12_262,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_12_263,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_234,refute_12_262]) ).

cnf(refute_12_264,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_12_263,refute_12_261]) ).

cnf(refute_12_265,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_12_260,refute_12_264]) ).

cnf(refute_12_266,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_12_267,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_12_265,refute_12_266]) ).

cnf(refute_12_268,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_12_244,refute_12_267]) ).

cnf(refute_12_269,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_268,refute_12_50]) ).

cnf(refute_12_270,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_12_269,refute_12_55]) ).

cnf(refute_12_271,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_270,refute_12_57]) ).

cnf(refute_12_272,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_12_70]) ).

cnf(refute_12_273,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_12_271,refute_12_272]) ).

cnf(refute_12_274,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_12_275,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_12_273,refute_12_274]) ).

cnf(refute_12_276,plain,
    ( e23 != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_12_275,refute_12_237]) ).

cnf(refute_12_277,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_12_278,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_277,refute_12_276]) ).

cnf(refute_12_279,plain,
    ( e20 != op2(e20,e23)
    | op2(e20,e23) = e20 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e23)))]]) ).

cnf(refute_12_280,plain,
    e20 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_12_279,refute_12_278]) ).

cnf(refute_12_281,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_12_230,refute_12_280]) ).

cnf(refute_12_282,plain,
    ( op1(e10,e10) != e13
    | op1(e10,e13) != e13
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e13)]]) ).

cnf(refute_12_283,plain,
    ( op1(e10,e10) != e13
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_12_281,refute_12_282]) ).

cnf(refute_12_284,plain,
    op1(e10,e10) != e13,
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_12_283,refute_12_191]) ).

cnf(refute_12_285,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(canonicalize,[],[normalize_12_71]) ).

cnf(refute_12_286,plain,
    op1(e10,e10) != e10,
    inference(canonicalize,[],[normalize_12_72]) ).

cnf(refute_12_287,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_12_285,refute_12_286]) ).

cnf(refute_12_288,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(canonicalize,[],[normalize_12_73]) ).

cnf(refute_12_289,plain,
    ( op1(e10,e10) != e12
    | op1(e10,e11) != e12
    | op1(e10,e10) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e12)]]) ).

cnf(refute_12_290,plain,
    ( op1(e10,e10) != e12
    | op1(e10,e10) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_12_128,refute_12_289]) ).

cnf(refute_12_291,plain,
    op1(e10,e10) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_12_290,refute_12_288]) ).

cnf(refute_12_292,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_12_287,refute_12_291]) ).

cnf(refute_12_293,plain,
    ( e13 != e13
    | op1(e10,e10) != e13
    | op1(e10,e10) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).

cnf(refute_12_294,plain,
    ( e13 != e13
    | op1(e10,e10) = e11
    | op1(e10,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_12_292,refute_12_293]) ).

cnf(refute_12_295,plain,
    ( e13 != e13
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_12_294,refute_12_284]) ).

cnf(refute_12_296,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_12_297,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_12_296,refute_12_295]) ).

cnf(refute_12_298,plain,
    ( e11 != op1(e11,e10)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e11,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e11,e10))]]) ).

cnf(refute_12_299,plain,
    ( e11 != op1(e11,e10)
    | op1(e10,e10) = op1(e11,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_12_297,refute_12_298]) ).

cnf(refute_12_300,plain,
    e11 != op1(e11,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_12_299,refute_12_190]) ).

cnf(refute_12_301,plain,
    ( op1(e11,e10) != e11
    | e11 = op1(e11,e10) ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(op1(e11,e10))),bind(Y,$fot(e11))]]) ).

cnf(refute_12_302,plain,
    op1(e11,e10) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e11,e10)) )],[refute_12_301,refute_12_300]) ).

cnf(refute_12_303,plain,
    op1(e11,e12) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_12_189,refute_12_302]) ).

cnf(refute_12_304,plain,
    h4(op1(e11,e12)) = h4(op1(e11,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).

cnf(refute_12_305,plain,
    ( h4(op1(e11,e12)) != h4(op1(e11,e12))
    | op1(e11,e12) != e11
    | h4(op1(e11,e12)) = h4(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) ),[1,0],$fot(e11)]]) ).

cnf(refute_12_306,plain,
    ( op1(e11,e12) != e11
    | h4(op1(e11,e12)) = h4(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_12_304,refute_12_305]) ).

cnf(refute_12_307,plain,
    h4(op1(e11,e12)) = h4(e11),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_12_303,refute_12_306]) ).

cnf(refute_12_308,plain,
    ( h4(e11) != e21
    | h4(op1(e11,e12)) != h4(e11)
    | h4(op1(e11,e12)) = e21 ),
    inference(subst,[],[refute_12_27:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_12_309,plain,
    ( h4(e11) != e21
    | h4(op1(e11,e12)) = e21 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e11)) )],[refute_12_307,refute_12_308]) ).

cnf(refute_12_310,plain,
    h4(op1(e11,e12)) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_12_93,refute_12_309]) ).

cnf(refute_12_311,plain,
    ( h4(op1(e11,e12)) != e21
    | h4(op1(e11,e12)) != op2(e21,e22)
    | e21 = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(e21)]]) ).

cnf(refute_12_312,plain,
    ( h4(op1(e11,e12)) != op2(e21,e22)
    | e21 = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_12_310,refute_12_311]) ).

cnf(refute_12_313,plain,
    e21 = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_12_103,refute_12_312]) ).

cnf(refute_12_314,plain,
    ( e21 != op2(e21,e22)
    | op2(e21,e22) = e21 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e22)))]]) ).

cnf(refute_12_315,plain,
    op2(e21,e22) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_12_313,refute_12_314]) ).

cnf(refute_12_316,plain,
    ( op2(e21,e22) != e21
    | op2(e21,e22) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).

cnf(refute_12_317,plain,
    ( op2(e21,e22) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_315,refute_12_316]) ).

cnf(refute_12_318,plain,
    ( e21 = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_77,refute_12_317]) ).

cnf(refute_12_319,plain,
    op2(e23,e22) = e22,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_318,refute_12_257]) ).

cnf(refute_12_320,plain,
    ( op2(e23,e22) != e22
    | op2(e23,e22) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e23) ),[0],$fot(e22)]]) ).

cnf(refute_12_321,plain,
    ( op2(e23,e22) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_12_319,refute_12_320]) ).

cnf(refute_12_322,plain,
    ( e22 = e23
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_12_58,refute_12_321]) ).

cnf(refute_12_323,plain,
    op2(e23,e20) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_12_322,refute_12_272]) ).

cnf(refute_12_324,plain,
    h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
    inference(canonicalize,[],[normalize_12_74]) ).

cnf(refute_12_325,plain,
    op2(e23,h4(e10)) = op2(e23,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).

cnf(refute_12_326,plain,
    ( h4(e10) != e20
    | op2(e23,h4(e10)) != op2(e23,h4(e10))
    | op2(e23,h4(e10)) = op2(e23,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(e20)]]) ).

cnf(refute_12_327,plain,
    ( h4(e10) != e20
    | op2(e23,h4(e10)) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_12_325,refute_12_326]) ).

cnf(refute_12_328,plain,
    op2(e23,h4(e10)) = op2(e23,e20),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_201,refute_12_327]) ).

cnf(refute_12_329,plain,
    op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).

cnf(refute_12_330,plain,
    ( h4(e13) != e23
    | op2(h4(e13),h4(e10)) != op2(h4(e13),h4(e10))
    | op2(h4(e13),h4(e10)) = op2(e23,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) ),[1,0],$fot(e23)]]) ).

cnf(refute_12_331,plain,
    ( h4(e13) != e23
    | op2(h4(e13),h4(e10)) = op2(e23,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) )],[refute_12_329,refute_12_330]) ).

cnf(refute_12_332,plain,
    op2(h4(e13),h4(e10)) = op2(e23,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_193,refute_12_331]) ).

cnf(refute_12_333,plain,
    ( op2(e23,h4(e10)) != op2(e23,e20)
    | op2(h4(e13),h4(e10)) != op2(e23,h4(e10))
    | op2(h4(e13),h4(e10)) = op2(e23,e20) ),
    inference(subst,[],[refute_12_27:[bind(X,$fot(op2(h4(e13),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).

cnf(refute_12_334,plain,
    ( op2(e23,h4(e10)) != op2(e23,e20)
    | op2(h4(e13),h4(e10)) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,h4(e10))) )],[refute_12_332,refute_12_333]) ).

cnf(refute_12_335,plain,
    op2(h4(e13),h4(e10)) = op2(e23,e20),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e20)) )],[refute_12_328,refute_12_334]) ).

cnf(refute_12_336,plain,
    ( h4(op1(e13,e10)) != op2(e23,e20)
    | op2(h4(e13),h4(e10)) != op2(e23,e20)
    | h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) ),[1],$fot(op2(e23,e20))]]) ).

cnf(refute_12_337,plain,
    ( h4(op1(e13,e10)) != op2(e23,e20)
    | h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,e20)) )],[refute_12_335,refute_12_336]) ).

cnf(refute_12_338,plain,
    h4(op1(e13,e10)) != op2(e23,e20),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_12_337,refute_12_324]) ).

cnf(refute_12_339,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    inference(canonicalize,[],[normalize_12_75]) ).

cnf(refute_12_340,plain,
    ( e10 = e13
    | op1(e13,e10) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_12_339,refute_12_171]) ).

cnf(refute_12_341,plain,
    ( op1(e13,e13) != e11
    | op1(e13,e13) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).

cnf(refute_12_342,plain,
    ( op1(e13,e13) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_109,refute_12_341]) ).

cnf(refute_12_343,plain,
    ( e10 = e13
    | e11 = e13
    | op1(e13,e10) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_12_340,refute_12_342]) ).

cnf(refute_12_344,plain,
    ( e11 = e13
    | op1(e13,e10) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_12_343,refute_12_173]) ).

cnf(refute_12_345,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_12_344,refute_12_175]) ).

cnf(refute_12_346,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(canonicalize,[],[normalize_12_76]) ).

cnf(refute_12_347,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(canonicalize,[],[normalize_12_77]) ).

cnf(refute_12_348,plain,
    ( e12 != op1(e10,e12)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e10,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e10,e12))]]) ).

cnf(refute_12_349,plain,
    ( e12 != op1(e10,e12)
    | op1(e10,e11) = op1(e10,e12) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_12_128,refute_12_348]) ).

cnf(refute_12_350,plain,
    e12 != op1(e10,e12),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_12_349,refute_12_347]) ).

cnf(refute_12_351,plain,
    ( op1(e10,e12) != e12
    | e12 = op1(e10,e12) ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(e12))]]) ).

cnf(refute_12_352,plain,
    op1(e10,e12) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e12)) )],[refute_12_351,refute_12_350]) ).

cnf(refute_12_353,plain,
    ( op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_12_346,refute_12_352]) ).

cnf(refute_12_354,plain,
    op1(e12,e12) != e12,
    inference(canonicalize,[],[normalize_12_78]) ).

cnf(refute_12_355,plain,
    ( op1(e11,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_12_353,refute_12_354]) ).

cnf(refute_12_356,plain,
    ( op1(e11,e12) != e11
    | op1(e11,e12) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0],$fot(e11)]]) ).

cnf(refute_12_357,plain,
    ( op1(e11,e12) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_12_303,refute_12_356]) ).

cnf(refute_12_358,plain,
    ( e11 = e12
    | op1(e13,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_12_355,refute_12_357]) ).

cnf(refute_12_359,plain,
    op1(e13,e12) = e12,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_12_358,refute_12_161]) ).

cnf(refute_12_360,plain,
    ( op1(e13,e12) != e12
    | op1(e13,e12) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e13) ),[0],$fot(e12)]]) ).

cnf(refute_12_361,plain,
    ( op1(e13,e12) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_12_359,refute_12_360]) ).

cnf(refute_12_362,plain,
    ( e12 = e13
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_12_345,refute_12_361]) ).

cnf(refute_12_363,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_12_362,refute_12_177]) ).

cnf(refute_12_364,plain,
    h4(op1(e13,e10)) = h4(op1(e13,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e13,e10)))]]) ).

cnf(refute_12_365,plain,
    ( h4(op1(e13,e10)) != h4(op1(e13,e10))
    | op1(e13,e10) != e13
    | h4(op1(e13,e10)) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e13,e10))) ),[1,0],$fot(e13)]]) ).

cnf(refute_12_366,plain,
    ( op1(e13,e10) != e13
    | h4(op1(e13,e10)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e13,e10))) )],[refute_12_364,refute_12_365]) ).

cnf(refute_12_367,plain,
    h4(op1(e13,e10)) = h4(e13),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_12_363,refute_12_366]) ).

cnf(refute_12_368,plain,
    ( h4(e13) != e23
    | h4(op1(e13,e10)) != h4(e13)
    | h4(op1(e13,e10)) = e23 ),
    inference(subst,[],[refute_12_27:[bind(X,$fot(h4(op1(e13,e10)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_12_369,plain,
    ( h4(e13) != e23
    | h4(op1(e13,e10)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(e13)) )],[refute_12_367,refute_12_368]) ).

cnf(refute_12_370,plain,
    h4(op1(e13,e10)) = e23,
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_193,refute_12_369]) ).

cnf(refute_12_371,plain,
    ( e23 != op2(e23,e20)
    | h4(op1(e13,e10)) != e23
    | h4(op1(e13,e10)) = op2(e23,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),e23) ),[1],$fot(op2(e23,e20))]]) ).

cnf(refute_12_372,plain,
    ( e23 != op2(e23,e20)
    | h4(op1(e13,e10)) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),e23) )],[refute_12_370,refute_12_371]) ).

cnf(refute_12_373,plain,
    e23 != op2(e23,e20),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e23,e20)) )],[refute_12_372,refute_12_338]) ).

cnf(refute_12_374,plain,
    ( op2(e23,e20) != e23
    | e23 = op2(e23,e20) ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(op2(e23,e20))),bind(Y,$fot(e23))]]) ).

cnf(refute_12_375,plain,
    op2(e23,e20) != e23,
    inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_12_374,refute_12_373]) ).

cnf(refute_12_376,plain,
    $false,
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_323,refute_12_375]) ).

fof(negate_13_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) )
     => h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    inference(negate,[],[subgoal_13]) ).

fof(normalize_13_0,plain,
    ( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_13_0]) ).

fof(normalize_13_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_13_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_13_1]) ).

fof(normalize_13_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_13_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_13_3]) ).

fof(normalize_13_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_13_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_13_5]) ).

fof(normalize_13_7,plain,
    ( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_13_0,normalize_13_2,normalize_13_4,normalize_13_6]) ).

fof(normalize_13_8,plain,
    h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
    inference(conjunct,[],[normalize_13_7]) ).

fof(normalize_13_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_13_10,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_13_9]) ).

fof(normalize_13_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_13_12,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_13_11]) ).

fof(normalize_13_13,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_13_14,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_13_13]) ).

fof(normalize_13_15,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_13_16,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_13_15]) ).

fof(normalize_13_17,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_13_18,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_13_17]) ).

fof(normalize_13_19,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_13_15]) ).

fof(normalize_13_20,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_13_17]) ).

fof(normalize_13_21,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_13_17]) ).

fof(normalize_13_22,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_13_23,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(conjunct,[],[normalize_13_22]) ).

fof(normalize_13_24,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_13_25,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_13_24]) ).

fof(normalize_13_26,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_13_27,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_13_26]) ).

fof(normalize_13_28,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_13_11]) ).

fof(normalize_13_29,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_13_26]) ).

fof(normalize_13_30,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_13_11]) ).

fof(normalize_13_31,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_13_32,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_13_31]) ).

fof(normalize_13_33,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_13_9]) ).

fof(normalize_13_34,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_13_9]) ).

cnf(refute_13_0,plain,
    h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
    inference(canonicalize,[],[normalize_13_8]) ).

cnf(refute_13_1,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_13_10]) ).

cnf(refute_13_2,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_13_12]) ).

cnf(refute_13_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_13_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_13_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_13_3,refute_13_4]) ).

cnf(refute_13_6,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_13_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_13_7,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_13_2,refute_13_6]) ).

cnf(refute_13_8,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_13_9,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_13_7,refute_13_8]) ).

cnf(refute_13_10,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_13_1,refute_13_9]) ).

cnf(refute_13_11,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_13_14]) ).

cnf(refute_13_12,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_13_16]) ).

cnf(refute_13_13,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_13_18]) ).

cnf(refute_13_14,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_13_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_13_15,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_13_13,refute_13_14]) ).

cnf(refute_13_16,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_13_17,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_15,refute_13_16]) ).

cnf(refute_13_18,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_13_17,refute_13_12]) ).

cnf(refute_13_19,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_13_11,refute_13_18]) ).

cnf(refute_13_20,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_13_19]) ).

cnf(refute_13_21,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_13_20]) ).

cnf(refute_13_22,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_13_23,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_13_24,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_13_22,refute_13_23]) ).

cnf(refute_13_25,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_15,refute_13_24]) ).

cnf(refute_13_26,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_13_21]) ).

cnf(refute_13_27,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_13_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_13_28,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_13_26,refute_13_27]) ).

cnf(refute_13_29,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_13_30,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_13_31,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_13_29,refute_13_30]) ).

cnf(refute_13_32,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_13_28,refute_13_31]) ).

cnf(refute_13_33,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_13_34,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_5,refute_13_33]) ).

cnf(refute_13_35,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_13_34:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_13_36,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_13_32,refute_13_35]) ).

cnf(refute_13_37,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_13_25,refute_13_36]) ).

cnf(refute_13_38,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_13_39,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_13_37,refute_13_38]) ).

cnf(refute_13_40,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_13_21,refute_13_39]) ).

cnf(refute_13_41,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_13_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_13_42,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_13_40,refute_13_41]) ).

cnf(refute_13_43,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_13_44,plain,
    ( e12 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_13_42,refute_13_43]) ).

cnf(refute_13_45,plain,
    e12 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_13_44,refute_13_20]) ).

cnf(refute_13_46,plain,
    ( op1(e13,e11) != e12
    | e12 = op1(e13,e11) ),
    inference(subst,[],[refute_13_5:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e12))]]) ).

cnf(refute_13_47,plain,
    op1(e13,e11) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_13_46,refute_13_45]) ).

cnf(refute_13_48,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_13_19,refute_13_47]) ).

cnf(refute_13_49,plain,
    ( op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(canonicalize,[],[normalize_13_23]) ).

cnf(refute_13_50,plain,
    ( e11 != e11
    | op1(e13,e13) != e11
    | op1(e13,e13) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).

cnf(refute_13_51,plain,
    ( e11 != e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_15,refute_13_50]) ).

cnf(refute_13_52,plain,
    ( e11 != e11
    | op1(e13,e11) != e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_51,refute_13_49]) ).

cnf(refute_13_53,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_13_54,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_13_53,refute_13_52]) ).

cnf(refute_13_55,plain,
    op1(e13,e11) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_13_48,refute_13_54]) ).

cnf(refute_13_56,plain,
    h4(op1(e13,e11)) = h4(op1(e13,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e13,e11)))]]) ).

cnf(refute_13_57,plain,
    ( h4(op1(e13,e11)) != h4(op1(e13,e11))
    | op1(e13,e11) != e10
    | h4(op1(e13,e11)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_13_58,plain,
    ( op1(e13,e11) != e10
    | h4(op1(e13,e11)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) )],[refute_13_56,refute_13_57]) ).

cnf(refute_13_59,plain,
    h4(op1(e13,e11)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_13_55,refute_13_58]) ).

cnf(refute_13_60,plain,
    ( h4(e10) != e20
    | h4(op1(e13,e11)) != h4(e10)
    | h4(op1(e13,e11)) = e20 ),
    inference(subst,[],[refute_13_34:[bind(X,$fot(h4(op1(e13,e11)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_13_61,plain,
    ( h4(e10) != e20
    | h4(op1(e13,e11)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(e10)) )],[refute_13_59,refute_13_60]) ).

cnf(refute_13_62,plain,
    h4(op1(e13,e11)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_13_10,refute_13_61]) ).

cnf(refute_13_63,plain,
    ( e20 != op2(h4(e13),h4(e11))
    | h4(op1(e13,e11)) != e20
    | h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),e20) ),[1],$fot(op2(h4(e13),h4(e11)))]]) ).

cnf(refute_13_64,plain,
    ( e20 != op2(h4(e13),h4(e11))
    | h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e20) )],[refute_13_62,refute_13_63]) ).

cnf(refute_13_65,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_13_25]) ).

cnf(refute_13_66,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_13_27]) ).

cnf(refute_13_67,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_13_28]) ).

cnf(refute_13_68,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_13_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_13_69,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_13_67,refute_13_68]) ).

cnf(refute_13_70,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_13_71,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_69,refute_13_70]) ).

cnf(refute_13_72,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_13_71,refute_13_66]) ).

cnf(refute_13_73,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_13_65,refute_13_72]) ).

cnf(refute_13_74,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_13_29]) ).

cnf(refute_13_75,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_13_30]) ).

cnf(refute_13_76,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_13_77,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_13_78,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_13_76,refute_13_77]) ).

cnf(refute_13_79,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_69,refute_13_78]) ).

cnf(refute_13_80,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_13_81,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_13_82,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_13_80,refute_13_81]) ).

cnf(refute_13_83,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_13_7,refute_13_82]) ).

cnf(refute_13_84,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_13_34:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_13_85,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_13_83,refute_13_84]) ).

cnf(refute_13_86,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_13_79,refute_13_85]) ).

cnf(refute_13_87,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_13_88,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_13_86,refute_13_87]) ).

cnf(refute_13_89,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_13_75,refute_13_88]) ).

cnf(refute_13_90,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_13_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_13_91,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_13_89,refute_13_90]) ).

cnf(refute_13_92,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_13_93,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_13_91,refute_13_92]) ).

cnf(refute_13_94,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_13_93,refute_13_74]) ).

cnf(refute_13_95,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_13_5:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_13_96,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_13_95,refute_13_94]) ).

cnf(refute_13_97,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_13_73,refute_13_96]) ).

cnf(refute_13_98,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_13_32]) ).

cnf(refute_13_99,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_13_100,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_69,refute_13_99]) ).

cnf(refute_13_101,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_100,refute_13_98]) ).

cnf(refute_13_102,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_13_103,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_102,refute_13_101]) ).

cnf(refute_13_104,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_13_97,refute_13_103]) ).

cnf(refute_13_105,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_13_33]) ).

cnf(refute_13_106,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_13_107,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_69,refute_13_106]) ).

cnf(refute_13_108,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_13_105,refute_13_107]) ).

cnf(refute_13_109,plain,
    op2(e23,h4(e11)) = op2(e23,h4(e11)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).

cnf(refute_13_110,plain,
    ( h4(e11) != e21
    | op2(e23,h4(e11)) != op2(e23,h4(e11))
    | op2(e23,h4(e11)) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) ),[1,1],$fot(e21)]]) ).

cnf(refute_13_111,plain,
    ( h4(e11) != e21
    | op2(e23,h4(e11)) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) )],[refute_13_109,refute_13_110]) ).

cnf(refute_13_112,plain,
    op2(e23,h4(e11)) = op2(e23,e21),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_108,refute_13_111]) ).

cnf(refute_13_113,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_13_34]) ).

cnf(refute_13_114,plain,
    op2(h4(e13),h4(e11)) = op2(h4(e13),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e11)))]]) ).

cnf(refute_13_115,plain,
    ( h4(e13) != e23
    | op2(h4(e13),h4(e11)) != op2(h4(e13),h4(e11))
    | op2(h4(e13),h4(e11)) = op2(e23,h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) ),[1,0],$fot(e23)]]) ).

cnf(refute_13_116,plain,
    ( h4(e13) != e23
    | op2(h4(e13),h4(e11)) = op2(e23,h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) )],[refute_13_114,refute_13_115]) ).

cnf(refute_13_117,plain,
    op2(h4(e13),h4(e11)) = op2(e23,h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_13_113,refute_13_116]) ).

cnf(refute_13_118,plain,
    ( op2(e23,h4(e11)) != op2(e23,e21)
    | op2(h4(e13),h4(e11)) != op2(e23,h4(e11))
    | op2(h4(e13),h4(e11)) = op2(e23,e21) ),
    inference(subst,[],[refute_13_34:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e23,h4(e11)))),bind(Z,$fot(op2(e23,e21)))]]) ).

cnf(refute_13_119,plain,
    ( op2(e23,h4(e11)) != op2(e23,e21)
    | op2(h4(e13),h4(e11)) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e23,h4(e11))) )],[refute_13_117,refute_13_118]) ).

cnf(refute_13_120,plain,
    op2(h4(e13),h4(e11)) = op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,e21)) )],[refute_13_112,refute_13_119]) ).

cnf(refute_13_121,plain,
    ( op2(e23,e21) != e20
    | op2(h4(e13),h4(e11)) != op2(e23,e21)
    | op2(h4(e13),h4(e11)) = e20 ),
    inference(subst,[],[refute_13_34:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e23,e21))),bind(Z,$fot(e20))]]) ).

cnf(refute_13_122,plain,
    ( op2(e23,e21) != e20
    | op2(h4(e13),h4(e11)) = e20 ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e23,e21)) )],[refute_13_120,refute_13_121]) ).

cnf(refute_13_123,plain,
    op2(h4(e13),h4(e11)) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_13_104,refute_13_122]) ).

cnf(refute_13_124,plain,
    ( e20 != e20
    | op2(h4(e13),h4(e11)) != e20
    | e20 = op2(h4(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h4(e13),h4(e11))) ),[1],$fot(e20)]]) ).

cnf(refute_13_125,plain,
    ( e20 != e20
    | e20 = op2(h4(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),e20) )],[refute_13_123,refute_13_124]) ).

cnf(refute_13_126,plain,
    ( e20 != e20
    | h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(e20,op2(h4(e13),h4(e11))) )],[refute_13_125,refute_13_64]) ).

cnf(refute_13_127,plain,
    e20 != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) )],[refute_13_126,refute_13_0]) ).

cnf(refute_13_128,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_13_129,plain,
    $false,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_13_128,refute_13_127]) ).

fof(negate_14_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
     => h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
    inference(negate,[],[subgoal_14]) ).

fof(normalize_14_0,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_14_1,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(conjunct,[],[normalize_14_0]) ).

fof(normalize_14_2,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_14_0]) ).

fof(normalize_14_3,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_14_4,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_14_3]) ).

fof(normalize_14_5,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_14_3]) ).

fof(normalize_14_6,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_14_3]) ).

fof(normalize_14_7,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_14_8,plain,
    h2(e11) = op2(e21,e21),
    inference(conjunct,[],[normalize_14_7]) ).

fof(normalize_14_9,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(conjunct,[],[normalize_14_0]) ).

fof(normalize_14_10,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_14_11,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_14_10]) ).

fof(normalize_14_12,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_14_13,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_14_12]) ).

fof(normalize_14_14,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_14_12]) ).

fof(normalize_14_15,plain,
    ( op2(e20,e20) != e20
    & op2(e21,e21) != e21
    & op2(e22,e22) != e22
    & op2(e23,e23) != e23
    & ( op2(e20,e20) != e20
      | op2(e21,e20) != e21 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20 )
    & ( op2(e20,e20) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20 )
    & ( op2(e20,e20) != e21
      | op2(e21,e21) != e21 )
    & ( op2(e20,e20) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e20,e20) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e20,e20) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e20,e20) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e20,e20) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e20,e20) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e20,e21) != e20
      | op2(e21,e21) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e22,e22) != e21 )
    & ( op2(e20,e21) != e20
      | op2(e23,e23) != e21 )
    & ( op2(e20,e22) != e20
      | op2(e21,e21) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e22,e22) != e22 )
    & ( op2(e20,e22) != e20
      | op2(e23,e23) != e22 )
    & ( op2(e20,e23) != e20
      | op2(e21,e21) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e22,e22) != e23 )
    & ( op2(e20,e23) != e20
      | op2(e23,e23) != e23 )
    & ( op2(e21,e20) != e21
      | op2(e21,e21) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e22,e22) != e20 )
    & ( op2(e21,e20) != e21
      | op2(e23,e23) != e20 )
    & ( op2(e21,e21) != e20
      | op2(e22,e20) != e22 )
    & ( op2(e21,e21) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e22,e21) != e22 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21 )
    & ( op2(e21,e21) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21 )
    & ( op2(e21,e21) != e22
      | op2(e22,e22) != e22 )
    & ( op2(e21,e21) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21 )
    & ( op2(e21,e21) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e21,e21) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e21,e22) != e21
      | op2(e22,e22) != e22 )
    & ( op2(e21,e22) != e21
      | op2(e23,e23) != e22 )
    & ( op2(e21,e23) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e21,e23) != e21
      | op2(e23,e23) != e23 )
    & ( op2(e22,e20) != e22
      | op2(e22,e22) != e20 )
    & ( op2(e22,e20) != e22
      | op2(e23,e23) != e20 )
    & ( op2(e22,e21) != e22
      | op2(e22,e22) != e21 )
    & ( op2(e22,e21) != e22
      | op2(e23,e23) != e21 )
    & ( op2(e22,e22) != e20
      | op2(e23,e20) != e23 )
    & ( op2(e22,e22) != e21
      | op2(e23,e21) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e22) != e23 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22 )
    & ( op2(e22,e22) != e23
      | op2(e23,e23) != e23 )
    & ( op2(e22,e23) != e22
      | op2(e23,e23) != e23 )
    & ( op2(e23,e20) != e23
      | op2(e23,e23) != e20 )
    & ( op2(e23,e21) != e23
      | op2(e23,e23) != e21 )
    & ( op2(e23,e22) != e23
      | op2(e23,e23) != e22 ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_14_16,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(conjunct,[],[normalize_14_15]) ).

fof(normalize_14_17,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_14_18,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_14_17]) ).

fof(normalize_14_19,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_14_17]) ).

fof(normalize_14_20,plain,
    op2(e21,e21) != e21,
    inference(conjunct,[],[normalize_14_15]) ).

fof(normalize_14_21,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_14_17]) ).

fof(normalize_14_22,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_14_17]) ).

fof(normalize_14_23,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_14_17]) ).

fof(normalize_14_24,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_14_12]) ).

fof(normalize_14_25,plain,
    ( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_14_0]) ).

fof(normalize_14_26,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_14_27,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_14_26]) ).

fof(normalize_14_28,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_14_7]) ).

fof(normalize_14_29,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_14_30,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_14_29]) ).

fof(normalize_14_31,plain,
    ( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_14_25,normalize_14_27,normalize_14_28,normalize_14_30]) ).

fof(normalize_14_32,plain,
    h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
    inference(conjunct,[],[normalize_14_31]) ).

fof(normalize_14_33,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_14_34,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_14_33]) ).

fof(normalize_14_35,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_14_33]) ).

fof(normalize_14_36,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(conjunct,[],[normalize_14_12]) ).

fof(normalize_14_37,plain,
    h1(e11) = op2(e20,e20),
    inference(conjunct,[],[normalize_14_26]) ).

fof(normalize_14_38,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(conjunct,[],[normalize_14_0]) ).

fof(normalize_14_39,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_14_12]) ).

fof(normalize_14_40,plain,
    h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
    inference(conjunct,[],[normalize_14_31]) ).

fof(normalize_14_41,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_14_33]) ).

fof(normalize_14_42,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(conjunct,[],[normalize_14_15]) ).

fof(normalize_14_43,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(conjunct,[],[normalize_14_31]) ).

fof(normalize_14_44,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_14_33]) ).

fof(normalize_14_45,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_14_46,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(conjunct,[],[normalize_14_45]) ).

fof(normalize_14_47,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_14_48,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(conjunct,[],[normalize_14_47]) ).

fof(normalize_14_49,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_14_47]) ).

fof(normalize_14_50,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(conjunct,[],[normalize_14_47]) ).

fof(normalize_14_51,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_14_52,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_14_51]) ).

fof(normalize_14_53,plain,
    ( op1(e10,e10) != e10
    & op1(e11,e11) != e11
    & op1(e12,e12) != e12
    & op1(e13,e13) != e13
    & ( op1(e10,e10) != e10
      | op1(e11,e10) != e11 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10 )
    & ( op1(e10,e10) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10 )
    & ( op1(e10,e10) != e11
      | op1(e11,e11) != e11 )
    & ( op1(e10,e10) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e10,e10) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e10,e10) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e10,e10) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e10,e10) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e10,e10) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e10,e11) != e10
      | op1(e11,e11) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e12,e12) != e11 )
    & ( op1(e10,e11) != e10
      | op1(e13,e13) != e11 )
    & ( op1(e10,e12) != e10
      | op1(e11,e11) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e12,e12) != e12 )
    & ( op1(e10,e12) != e10
      | op1(e13,e13) != e12 )
    & ( op1(e10,e13) != e10
      | op1(e11,e11) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e12,e12) != e13 )
    & ( op1(e10,e13) != e10
      | op1(e13,e13) != e13 )
    & ( op1(e11,e10) != e11
      | op1(e11,e11) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e12,e12) != e10 )
    & ( op1(e11,e10) != e11
      | op1(e13,e13) != e10 )
    & ( op1(e11,e11) != e10
      | op1(e12,e10) != e12 )
    & ( op1(e11,e11) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e12,e11) != e12 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11 )
    & ( op1(e11,e11) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11 )
    & ( op1(e11,e11) != e12
      | op1(e12,e12) != e12 )
    & ( op1(e11,e11) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11 )
    & ( op1(e11,e11) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e11,e11) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e11,e12) != e11
      | op1(e12,e12) != e12 )
    & ( op1(e11,e12) != e11
      | op1(e13,e13) != e12 )
    & ( op1(e11,e13) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e11,e13) != e11
      | op1(e13,e13) != e13 )
    & ( op1(e12,e10) != e12
      | op1(e12,e12) != e10 )
    & ( op1(e12,e10) != e12
      | op1(e13,e13) != e10 )
    & ( op1(e12,e11) != e12
      | op1(e12,e12) != e11 )
    & ( op1(e12,e11) != e12
      | op1(e13,e13) != e11 )
    & ( op1(e12,e12) != e10
      | op1(e13,e10) != e13 )
    & ( op1(e12,e12) != e11
      | op1(e13,e11) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e12) != e13 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12 )
    & ( op1(e12,e12) != e13
      | op1(e13,e13) != e13 )
    & ( op1(e12,e13) != e12
      | op1(e13,e13) != e13 )
    & ( op1(e13,e10) != e13
      | op1(e13,e13) != e10 )
    & ( op1(e13,e11) != e13
      | op1(e13,e13) != e11 )
    & ( op1(e13,e12) != e13
      | op1(e13,e13) != e12 ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_14_54,plain,
    op1(e10,e10) != e10,
    inference(conjunct,[],[normalize_14_53]) ).

fof(normalize_14_55,plain,
    h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
    inference(conjunct,[],[normalize_14_31]) ).

fof(normalize_14_56,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(conjunct,[],[normalize_14_0]) ).

fof(normalize_14_57,plain,
    h3(e11) = op2(e22,e22),
    inference(conjunct,[],[normalize_14_29]) ).

fof(normalize_14_58,plain,
    op2(e22,e22) != e22,
    inference(conjunct,[],[normalize_14_15]) ).

fof(normalize_14_59,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(conjunct,[],[normalize_14_12]) ).

fof(normalize_14_60,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(conjunct,[],[normalize_14_45]) ).

fof(normalize_14_61,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_14_62,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(conjunct,[],[normalize_14_61]) ).

fof(normalize_14_63,plain,
    op1(e12,e12) != e12,
    inference(conjunct,[],[normalize_14_53]) ).

cnf(refute_14_0,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(canonicalize,[],[normalize_14_1]) ).

cnf(refute_14_1,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_14_2]) ).

cnf(refute_14_2,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_14_4]) ).

cnf(refute_14_3,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_14_5]) ).

cnf(refute_14_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_14_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_14_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_14_4,refute_14_5]) ).

cnf(refute_14_7,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_14_8,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_14_3,refute_14_7]) ).

cnf(refute_14_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_14_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_14_11,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_14_9,refute_14_10]) ).

cnf(refute_14_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_8,refute_14_11]) ).

cnf(refute_14_13,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_14_6]) ).

cnf(refute_14_14,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_14_15,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_14_13,refute_14_14]) ).

cnf(refute_14_16,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_14_17,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_14_18,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_14_16,refute_14_17]) ).

cnf(refute_14_19,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_14_15,refute_14_18]) ).

cnf(refute_14_20,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_14_21,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_6,refute_14_20]) ).

cnf(refute_14_22,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_14_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_14_23,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_14_19,refute_14_22]) ).

cnf(refute_14_24,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_14_12,refute_14_23]) ).

cnf(refute_14_25,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_14_26,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_14_24,refute_14_25]) ).

cnf(refute_14_27,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_14_2,refute_14_26]) ).

cnf(refute_14_28,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_14_29,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_14_27,refute_14_28]) ).

cnf(refute_14_30,plain,
    ( op2(e20,e21) != e22
    | op2(e20,e21) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).

cnf(refute_14_31,plain,
    ( op2(e20,e21) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_14_29,refute_14_30]) ).

cnf(refute_14_32,plain,
    ( e22 = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_14_1,refute_14_31]) ).

cnf(refute_14_33,plain,
    h2(e11) = op2(e21,e21),
    inference(canonicalize,[],[normalize_14_8]) ).

cnf(refute_14_34,plain,
    ( h2(e11) != op2(e21,e21)
    | op2(e21,e21) = h2(e11) ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_14_35,plain,
    op2(e21,e21) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_14_33,refute_14_34]) ).

cnf(refute_14_36,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).

cnf(refute_14_37,plain,
    ( op2(e21,e21) != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_14_35,refute_14_36]) ).

cnf(refute_14_38,plain,
    ( e22 = e23
    | h2(e11) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_14_32,refute_14_37]) ).

cnf(refute_14_39,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(canonicalize,[],[normalize_14_9]) ).

cnf(refute_14_40,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_14_41,plain,
    ( op2(e20,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_14_29,refute_14_40]) ).

cnf(refute_14_42,plain,
    ( e22 = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_14_39,refute_14_41]) ).

cnf(refute_14_43,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h2(e11)
    | h2(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).

cnf(refute_14_44,plain,
    ( op2(e21,e21) != e21
    | h2(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_14_35,refute_14_43]) ).

cnf(refute_14_45,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_14_42,refute_14_44]) ).

cnf(refute_14_46,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_14_11]) ).

cnf(refute_14_47,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_14_13]) ).

cnf(refute_14_48,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_14_49,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_8,refute_14_48]) ).

cnf(refute_14_50,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_14_49,refute_14_47]) ).

cnf(refute_14_51,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_14_46,refute_14_50]) ).

cnf(refute_14_52,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_14_14]) ).

cnf(refute_14_53,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_14_54,plain,
    ( e22 != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_14_29,refute_14_53]) ).

cnf(refute_14_55,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_14_54,refute_14_52]) ).

cnf(refute_14_56,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_14_57,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_14_56,refute_14_55]) ).

cnf(refute_14_58,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_14_51,refute_14_57]) ).

cnf(refute_14_59,plain,
    ( op2(e23,e21) != e23
    | op2(e23,e23) != e21 ),
    inference(canonicalize,[],[normalize_14_16]) ).

cnf(refute_14_60,plain,
    ( e21 != e21
    | op2(e23,e23) != e21
    | op2(e23,e23) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).

cnf(refute_14_61,plain,
    ( e21 != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_8,refute_14_60]) ).

cnf(refute_14_62,plain,
    ( e21 != e21
    | op2(e23,e21) != e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_61,refute_14_59]) ).

cnf(refute_14_63,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_14_64,plain,
    op2(e23,e21) != e23,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_14_63,refute_14_62]) ).

cnf(refute_14_65,plain,
    op2(e23,e21) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_14_58,refute_14_64]) ).

cnf(refute_14_66,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e20)]]) ).

cnf(refute_14_67,plain,
    ( op2(e23,e21) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_14_65,refute_14_66]) ).

cnf(refute_14_68,plain,
    ( e20 = e21
    | e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_14_45,refute_14_67]) ).

cnf(refute_14_69,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_14_18]) ).

cnf(refute_14_70,plain,
    ( e22 = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_14_68,refute_14_69]) ).

cnf(refute_14_71,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_14_19]) ).

cnf(refute_14_72,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_14_73,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_14_72,refute_14_71]) ).

cnf(refute_14_74,plain,
    ( h2(e11) = e21
    | op2(e22,e21) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_14_70,refute_14_73]) ).

cnf(refute_14_75,plain,
    op2(e21,e21) != e21,
    inference(canonicalize,[],[normalize_14_20]) ).

cnf(refute_14_76,plain,
    ( h2(e11) != e21
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e21)]]) ).

cnf(refute_14_77,plain,
    ( h2(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_14_35,refute_14_76]) ).

cnf(refute_14_78,plain,
    h2(e11) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_14_77,refute_14_75]) ).

cnf(refute_14_79,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_14_74,refute_14_78]) ).

cnf(refute_14_80,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e21) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[0],$fot(e21)]]) ).

cnf(refute_14_81,plain,
    ( op2(e22,e21) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_14_79,refute_14_80]) ).

cnf(refute_14_82,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_14_38,refute_14_81]) ).

cnf(refute_14_83,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).

cnf(refute_14_84,plain,
    ( op2(e23,e21) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_14_65,refute_14_83]) ).

cnf(refute_14_85,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_14_82,refute_14_84]) ).

cnf(refute_14_86,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_14_21]) ).

cnf(refute_14_87,plain,
    ( e21 = e23
    | e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_14_85,refute_14_86]) ).

cnf(refute_14_88,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_14_22]) ).

cnf(refute_14_89,plain,
    ( e22 = e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_14_87,refute_14_88]) ).

cnf(refute_14_90,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_14_23]) ).

cnf(refute_14_91,plain,
    h2(e11) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_14_89,refute_14_90]) ).

cnf(refute_14_92,plain,
    ( h2(e11) != e23
    | op2(e21,e21) != h2(e11)
    | op2(e21,e21) = e23 ),
    inference(subst,[],[refute_14_21:[bind(X,$fot(op2(e21,e21))),bind(Y,$fot(h2(e11))),bind(Z,$fot(e23))]]) ).

cnf(refute_14_93,plain,
    ( h2(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_14_35,refute_14_92]) ).

cnf(refute_14_94,plain,
    op2(e21,e21) = e23,
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_14_91,refute_14_93]) ).

cnf(refute_14_95,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != e23
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(e23)]]) ).

cnf(refute_14_96,plain,
    ( op2(e21,e21) != e21
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_14_94,refute_14_95]) ).

cnf(refute_14_97,plain,
    ( e23 = e21
    | op2(e21,e20) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_14_0,refute_14_96]) ).

cnf(refute_14_98,plain,
    ( e23 != e21
    | e21 = e23 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).

cnf(refute_14_99,plain,
    e23 != e21,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_14_98,refute_14_88]) ).

cnf(refute_14_100,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_14_97,refute_14_99]) ).

cnf(refute_14_101,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_14_24]) ).

cnf(refute_14_102,plain,
    ( op2(e21,e23) != e21
    | op2(e23,e23) != e21
    | op2(e21,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_14_103,plain,
    ( op2(e21,e23) != e21
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_8,refute_14_102]) ).

cnf(refute_14_104,plain,
    op2(e21,e23) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_14_103,refute_14_101]) ).

cnf(refute_14_105,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e22) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_14_100,refute_14_104]) ).

cnf(refute_14_106,plain,
    h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
    inference(canonicalize,[],[normalize_14_32]) ).

cnf(refute_14_107,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_14_34]) ).

cnf(refute_14_108,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_14_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_14_109,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_14_24,refute_14_108]) ).

cnf(refute_14_110,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_14_29,refute_14_109]) ).

cnf(refute_14_111,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_14_112,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_14_110,refute_14_111]) ).

cnf(refute_14_113,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_14_107,refute_14_112]) ).

cnf(refute_14_114,plain,
    op2(e21,h4(e12)) = op2(e21,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).

cnf(refute_14_115,plain,
    ( h4(e12) != e22
    | op2(e21,h4(e12)) != op2(e21,h4(e12))
    | op2(e21,h4(e12)) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_14_116,plain,
    ( h4(e12) != e22
    | op2(e21,h4(e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_14_114,refute_14_115]) ).

cnf(refute_14_117,plain,
    op2(e21,h4(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_113,refute_14_116]) ).

cnf(refute_14_118,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_14_35]) ).

cnf(refute_14_119,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_14_120,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_8,refute_14_119]) ).

cnf(refute_14_121,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_14_118,refute_14_120]) ).

cnf(refute_14_122,plain,
    op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).

cnf(refute_14_123,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
    | op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).

cnf(refute_14_124,plain,
    ( h4(e11) != e21
    | op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_14_122,refute_14_123]) ).

cnf(refute_14_125,plain,
    op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_14_121,refute_14_124]) ).

cnf(refute_14_126,plain,
    ( op2(e21,h4(e12)) != op2(e21,e22)
    | op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
    | op2(h4(e11),h4(e12)) = op2(e21,e22) ),
    inference(subst,[],[refute_14_21:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).

cnf(refute_14_127,plain,
    ( op2(e21,h4(e12)) != op2(e21,e22)
    | op2(h4(e11),h4(e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_14_125,refute_14_126]) ).

cnf(refute_14_128,plain,
    op2(h4(e11),h4(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_14_117,refute_14_127]) ).

cnf(refute_14_129,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | op2(h4(e11),h4(e12)) != op2(e21,e22)
    | h4(op1(e11,e12)) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).

cnf(refute_14_130,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_14_128,refute_14_129]) ).

cnf(refute_14_131,plain,
    h4(op1(e11,e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_14_106,refute_14_130]) ).

cnf(refute_14_132,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(canonicalize,[],[normalize_14_36]) ).

cnf(refute_14_133,plain,
    h1(e11) = op2(e20,e20),
    inference(canonicalize,[],[normalize_14_37]) ).

cnf(refute_14_134,plain,
    ( h1(e11) != op2(e20,e20)
    | op2(e20,e20) = h1(e11) ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_14_135,plain,
    op2(e20,e20) = h1(e11),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_14_133,refute_14_134]) ).

cnf(refute_14_136,plain,
    ( h1(e11) != op2(e21,e20)
    | op2(e20,e20) != h1(e11)
    | op2(e20,e20) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_14_137,plain,
    ( h1(e11) != op2(e21,e20)
    | op2(e20,e20) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_14_135,refute_14_136]) ).

cnf(refute_14_138,plain,
    h1(e11) != op2(e21,e20),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_14_137,refute_14_132]) ).

cnf(refute_14_139,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(canonicalize,[],[normalize_14_38]) ).

cnf(refute_14_140,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != h1(e11)
    | h1(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).

cnf(refute_14_141,plain,
    ( op2(e20,e20) != e21
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_14_135,refute_14_140]) ).

cnf(refute_14_142,plain,
    ( h1(e11) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_14_139,refute_14_141]) ).

cnf(refute_14_143,plain,
    ( e22 = e21
    | h1(e11) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_14_142,refute_14_41]) ).

cnf(refute_14_144,plain,
    ( h1(e11) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_14_143,refute_14_73]) ).

cnf(refute_14_145,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_14_39]) ).

cnf(refute_14_146,plain,
    ( op2(e20,e23) != e21
    | op2(e23,e23) != e21
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).

cnf(refute_14_147,plain,
    ( op2(e20,e23) != e21
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_8,refute_14_146]) ).

cnf(refute_14_148,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_14_147,refute_14_145]) ).

cnf(refute_14_149,plain,
    ( h1(e11) = e21
    | op2(e20,e22) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_14_144,refute_14_148]) ).

cnf(refute_14_150,plain,
    h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
    inference(canonicalize,[],[normalize_14_40]) ).

cnf(refute_14_151,plain,
    op2(e20,h4(e12)) = op2(e20,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).

cnf(refute_14_152,plain,
    ( h4(e12) != e22
    | op2(e20,h4(e12)) != op2(e20,h4(e12))
    | op2(e20,h4(e12)) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_14_153,plain,
    ( h4(e12) != e22
    | op2(e20,h4(e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_14_151,refute_14_152]) ).

cnf(refute_14_154,plain,
    op2(e20,h4(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_113,refute_14_153]) ).

cnf(refute_14_155,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_14_41]) ).

cnf(refute_14_156,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_14_157,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_14_15,refute_14_156]) ).

cnf(refute_14_158,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_14_155,refute_14_157]) ).

cnf(refute_14_159,plain,
    op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).

cnf(refute_14_160,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
    | op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).

cnf(refute_14_161,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_14_159,refute_14_160]) ).

cnf(refute_14_162,plain,
    op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_14_158,refute_14_161]) ).

cnf(refute_14_163,plain,
    ( op2(e20,h4(e12)) != op2(e20,e22)
    | op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
    | op2(h4(e10),h4(e12)) = op2(e20,e22) ),
    inference(subst,[],[refute_14_21:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).

cnf(refute_14_164,plain,
    ( op2(e20,h4(e12)) != op2(e20,e22)
    | op2(h4(e10),h4(e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_14_162,refute_14_163]) ).

cnf(refute_14_165,plain,
    op2(h4(e10),h4(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_14_154,refute_14_164]) ).

cnf(refute_14_166,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | op2(h4(e10),h4(e12)) != op2(e20,e22)
    | h4(op1(e10,e12)) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).

cnf(refute_14_167,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_14_165,refute_14_166]) ).

cnf(refute_14_168,plain,
    h4(op1(e10,e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_14_150,refute_14_167]) ).

cnf(refute_14_169,plain,
    ( op2(e20,e23) != e20
    | op2(e21,e21) != e23 ),
    inference(canonicalize,[],[normalize_14_42]) ).

cnf(refute_14_170,plain,
    ( h2(e11) != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_14_93,refute_14_169]) ).

cnf(refute_14_171,plain,
    ( e23 != e23
    | h2(e11) != e23
    | h2(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).

cnf(refute_14_172,plain,
    ( e23 != e23
    | h2(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_14_91,refute_14_171]) ).

cnf(refute_14_173,plain,
    ( e23 != e23
    | op2(e20,e23) != e20 ),
    inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_14_172,refute_14_170]) ).

cnf(refute_14_174,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_14_175,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_14_174,refute_14_173]) ).

cnf(refute_14_176,plain,
    h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
    inference(canonicalize,[],[normalize_14_43]) ).

cnf(refute_14_177,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_14_44]) ).

cnf(refute_14_178,plain,
    op2(e20,h4(e13)) = op2(e20,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).

cnf(refute_14_179,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) != op2(e20,h4(e13))
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_14_180,plain,
    ( h4(e13) != e23
    | op2(e20,h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_14_178,refute_14_179]) ).

cnf(refute_14_181,plain,
    op2(e20,h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_14_177,refute_14_180]) ).

cnf(refute_14_182,plain,
    op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_14_183,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_14_184,plain,
    ( h4(e10) != e20
    | op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_14_182,refute_14_183]) ).

cnf(refute_14_185,plain,
    op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_14_158,refute_14_184]) ).

cnf(refute_14_186,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(subst,[],[refute_14_21:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).

cnf(refute_14_187,plain,
    ( op2(e20,h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_14_185,refute_14_186]) ).

cnf(refute_14_188,plain,
    op2(h4(e10),h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_14_181,refute_14_187]) ).

cnf(refute_14_189,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | op2(h4(e10),h4(e13)) != op2(e20,e23)
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_14_190,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_14_188,refute_14_189]) ).

cnf(refute_14_191,plain,
    h4(op1(e10,e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_14_176,refute_14_190]) ).

cnf(refute_14_192,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(canonicalize,[],[normalize_14_46]) ).

cnf(refute_14_193,plain,
    e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    inference(canonicalize,[],[normalize_14_48]) ).

cnf(refute_14_194,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_14_49]) ).

cnf(refute_14_195,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_14_196,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_14_194,refute_14_195]) ).

cnf(refute_14_197,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_14_198,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).

cnf(refute_14_199,plain,
    ( op1(e13,e13) != e11
    | op1(e10,op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_14_197,refute_14_198]) ).

cnf(refute_14_200,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_14_196,refute_14_199]) ).

cnf(refute_14_201,plain,
    e10 = op1(e13,op1(e13,e13)),
    inference(canonicalize,[],[normalize_14_50]) ).

cnf(refute_14_202,plain,
    ( e10 != op1(e13,op1(e13,e13))
    | op1(e13,op1(e13,e13)) = e10 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).

cnf(refute_14_203,plain,
    op1(e13,op1(e13,e13)) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_14_201,refute_14_202]) ).

cnf(refute_14_204,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_14_205,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_14_206,plain,
    ( op1(e13,op1(e13,e13)) != e10
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_14_204,refute_14_205]) ).

cnf(refute_14_207,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_14_203,refute_14_206]) ).

cnf(refute_14_208,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(subst,[],[refute_14_21:[bind(X,$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e11)))]]) ).

cnf(refute_14_209,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e11)
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_14_207,refute_14_208]) ).

cnf(refute_14_210,plain,
    op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = op1(e10,e11),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e11)) )],[refute_14_200,refute_14_209]) ).

cnf(refute_14_211,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | op1(op1(e13,op1(e13,e13)),op1(e13,e13)) != op1(e10,e11)
    | e12 = op1(e10,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e11)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),op1(e13,e13)))]]) ).

cnf(refute_14_212,plain,
    ( e12 != op1(op1(e13,op1(e13,e13)),op1(e13,e13))
    | e12 = op1(e10,e11) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),op1(e13,e13)),op1(e10,e11)) )],[refute_14_210,refute_14_211]) ).

cnf(refute_14_213,plain,
    e12 = op1(e10,e11),
    inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),op1(e13,e13))) )],[refute_14_193,refute_14_212]) ).

cnf(refute_14_214,plain,
    ( e12 != op1(e10,e11)
    | op1(e10,e11) = e12 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e11)))]]) ).

cnf(refute_14_215,plain,
    op1(e10,e11) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_14_213,refute_14_214]) ).

cnf(refute_14_216,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) != e12
    | e12 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e12)]]) ).

cnf(refute_14_217,plain,
    ( op1(e10,e11) != e10
    | e12 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_14_215,refute_14_216]) ).

cnf(refute_14_218,plain,
    ( e12 = e10
    | op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_14_192,refute_14_217]) ).

cnf(refute_14_219,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_14_52]) ).

cnf(refute_14_220,plain,
    ( e12 != e10
    | e10 = e12 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).

cnf(refute_14_221,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_14_220,refute_14_219]) ).

cnf(refute_14_222,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_14_218,refute_14_221]) ).

cnf(refute_14_223,plain,
    op1(e10,e10) != e10,
    inference(canonicalize,[],[normalize_14_54]) ).

cnf(refute_14_224,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_14_222,refute_14_223]) ).

cnf(refute_14_225,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | op1(e10,e13) != e10
    | h4(e10) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e10)]]) ).

cnf(refute_14_226,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | h4(e10) = op2(e20,e23)
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_14_224,refute_14_225]) ).

cnf(refute_14_227,plain,
    ( h4(e10) = op2(e20,e23)
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_14_191,refute_14_226]) ).

cnf(refute_14_228,plain,
    ( h4(e10) != e20
    | h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e23)) ),[0],$fot(e20)]]) ).

cnf(refute_14_229,plain,
    ( h4(e10) != op2(e20,e23)
    | e20 = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_14_158,refute_14_228]) ).

cnf(refute_14_230,plain,
    ( e20 = op2(e20,e23)
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e23)) )],[refute_14_227,refute_14_229]) ).

cnf(refute_14_231,plain,
    ( e20 != op2(e20,e23)
    | op2(e20,e23) = e20 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e23)))]]) ).

cnf(refute_14_232,plain,
    ( op1(e10,e12) = e10
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_14_230,refute_14_231]) ).

cnf(refute_14_233,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | op2(e20,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_14_234,plain,
    ( e20 != e20
    | op1(e10,e12) = e10
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_14_232,refute_14_233]) ).

cnf(refute_14_235,plain,
    ( e20 != e20
    | op1(e10,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_14_234,refute_14_175]) ).

cnf(refute_14_236,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_14_237,plain,
    op1(e10,e12) = e10,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_14_236,refute_14_235]) ).

cnf(refute_14_238,plain,
    h4(op1(e10,e12)) = h4(op1(e10,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).

cnf(refute_14_239,plain,
    ( h4(op1(e10,e12)) != h4(op1(e10,e12))
    | op1(e10,e12) != e10
    | h4(op1(e10,e12)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).

cnf(refute_14_240,plain,
    ( op1(e10,e12) != e10
    | h4(op1(e10,e12)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_14_238,refute_14_239]) ).

cnf(refute_14_241,plain,
    h4(op1(e10,e12)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_14_237,refute_14_240]) ).

cnf(refute_14_242,plain,
    ( h4(e10) != e20
    | h4(op1(e10,e12)) != h4(e10)
    | h4(op1(e10,e12)) = e20 ),
    inference(subst,[],[refute_14_21:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_14_243,plain,
    ( h4(e10) != e20
    | h4(op1(e10,e12)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_14_241,refute_14_242]) ).

cnf(refute_14_244,plain,
    h4(op1(e10,e12)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_14_158,refute_14_243]) ).

cnf(refute_14_245,plain,
    ( h4(op1(e10,e12)) != e20
    | h4(op1(e10,e12)) != op2(e20,e22)
    | e20 = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(e20)]]) ).

cnf(refute_14_246,plain,
    ( h4(op1(e10,e12)) != op2(e20,e22)
    | e20 = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e20) )],[refute_14_244,refute_14_245]) ).

cnf(refute_14_247,plain,
    e20 = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_14_168,refute_14_246]) ).

cnf(refute_14_248,plain,
    ( e20 != op2(e20,e22)
    | op2(e20,e22) = e20 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).

cnf(refute_14_249,plain,
    op2(e20,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_14_247,refute_14_248]) ).

cnf(refute_14_250,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[0],$fot(e20)]]) ).

cnf(refute_14_251,plain,
    ( op2(e20,e22) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_14_249,refute_14_250]) ).

cnf(refute_14_252,plain,
    ( e20 = e21
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_14_149,refute_14_251]) ).

cnf(refute_14_253,plain,
    h1(e11) = e21,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_14_252,refute_14_69]) ).

cnf(refute_14_254,plain,
    ( e21 != op2(e21,e20)
    | h1(e11) != e21
    | h1(e11) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_14_255,plain,
    ( e21 != op2(e21,e20)
    | h1(e11) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_14_253,refute_14_254]) ).

cnf(refute_14_256,plain,
    e21 != op2(e21,e20),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_14_255,refute_14_138]) ).

cnf(refute_14_257,plain,
    h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
    inference(canonicalize,[],[normalize_14_55]) ).

cnf(refute_14_258,plain,
    op2(e23,h4(e12)) = op2(e23,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e12)))]]) ).

cnf(refute_14_259,plain,
    ( h4(e12) != e22
    | op2(e23,h4(e12)) != op2(e23,h4(e12))
    | op2(e23,h4(e12)) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_14_260,plain,
    ( h4(e12) != e22
    | op2(e23,h4(e12)) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) )],[refute_14_258,refute_14_259]) ).

cnf(refute_14_261,plain,
    op2(e23,h4(e12)) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_113,refute_14_260]) ).

cnf(refute_14_262,plain,
    op2(h4(e13),h4(e12)) = op2(h4(e13),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e12)))]]) ).

cnf(refute_14_263,plain,
    ( h4(e13) != e23
    | op2(h4(e13),h4(e12)) != op2(h4(e13),h4(e12))
    | op2(h4(e13),h4(e12)) = op2(e23,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) ),[1,0],$fot(e23)]]) ).

cnf(refute_14_264,plain,
    ( h4(e13) != e23
    | op2(h4(e13),h4(e12)) = op2(e23,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) )],[refute_14_262,refute_14_263]) ).

cnf(refute_14_265,plain,
    op2(h4(e13),h4(e12)) = op2(e23,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_14_177,refute_14_264]) ).

cnf(refute_14_266,plain,
    ( op2(e23,h4(e12)) != op2(e23,e22)
    | op2(h4(e13),h4(e12)) != op2(e23,h4(e12))
    | op2(h4(e13),h4(e12)) = op2(e23,e22) ),
    inference(subst,[],[refute_14_21:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e23,h4(e12)))),bind(Z,$fot(op2(e23,e22)))]]) ).

cnf(refute_14_267,plain,
    ( op2(e23,h4(e12)) != op2(e23,e22)
    | op2(h4(e13),h4(e12)) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e23,h4(e12))) )],[refute_14_265,refute_14_266]) ).

cnf(refute_14_268,plain,
    op2(h4(e13),h4(e12)) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,e22)) )],[refute_14_261,refute_14_267]) ).

cnf(refute_14_269,plain,
    ( h4(op1(e13,e12)) != op2(e23,e22)
    | op2(h4(e13),h4(e12)) != op2(e23,e22)
    | h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) ),[1],$fot(op2(e23,e22))]]) ).

cnf(refute_14_270,plain,
    ( h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e23,e22)) )],[refute_14_268,refute_14_269]) ).

cnf(refute_14_271,plain,
    h4(op1(e13,e12)) != op2(e23,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) )],[refute_14_270,refute_14_257]) ).

cnf(refute_14_272,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(canonicalize,[],[normalize_14_56]) ).

cnf(refute_14_273,plain,
    h3(e11) = op2(e22,e22),
    inference(canonicalize,[],[normalize_14_57]) ).

cnf(refute_14_274,plain,
    ( h3(e11) != op2(e22,e22)
    | op2(e22,e22) = h3(e11) ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_14_275,plain,
    op2(e22,e22) = h3(e11),
    inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_14_273,refute_14_274]) ).

cnf(refute_14_276,plain,
    ( op2(e22,e22) != e22
    | op2(e22,e22) != h3(e11)
    | h3(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).

cnf(refute_14_277,plain,
    ( op2(e22,e22) != e22
    | h3(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_14_275,refute_14_276]) ).

cnf(refute_14_278,plain,
    ( h3(e11) = e22
    | op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_14_272,refute_14_277]) ).

cnf(refute_14_279,plain,
    op2(e22,e22) != e22,
    inference(canonicalize,[],[normalize_14_58]) ).

cnf(refute_14_280,plain,
    ( h3(e11) != e22
    | op2(e22,e22) != h3(e11)
    | op2(e22,e22) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e22)]]) ).

cnf(refute_14_281,plain,
    ( h3(e11) != e22
    | op2(e22,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_14_275,refute_14_280]) ).

cnf(refute_14_282,plain,
    h3(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_14_281,refute_14_279]) ).

cnf(refute_14_283,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_14_278,refute_14_282]) ).

cnf(refute_14_284,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(canonicalize,[],[normalize_14_59]) ).

cnf(refute_14_285,plain,
    ( e22 != op2(e20,e22)
    | op2(e20,e21) != e22
    | op2(e20,e21) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_14_286,plain,
    ( e22 != op2(e20,e22)
    | op2(e20,e21) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_14_29,refute_14_285]) ).

cnf(refute_14_287,plain,
    e22 != op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_14_286,refute_14_284]) ).

cnf(refute_14_288,plain,
    ( op2(e20,e22) != e22
    | e22 = op2(e20,e22) ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).

cnf(refute_14_289,plain,
    op2(e20,e22) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_14_288,refute_14_287]) ).

cnf(refute_14_290,plain,
    ( op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_14_283,refute_14_289]) ).

cnf(refute_14_291,plain,
    ( h4(op1(e13,e12)) != e22
    | op2(e23,e22) != e22
    | h4(op1(e13,e12)) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e12)),op2(e23,e22)) ),[1],$fot(e22)]]) ).

cnf(refute_14_292,plain,
    ( h4(op1(e13,e12)) != e22
    | h4(op1(e13,e12)) = op2(e23,e22)
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_14_290,refute_14_291]) ).

cnf(refute_14_293,plain,
    ( h4(op1(e13,e12)) != e22
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(e23,e22)) )],[refute_14_292,refute_14_271]) ).

cnf(refute_14_294,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(canonicalize,[],[normalize_14_60]) ).

cnf(refute_14_295,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(canonicalize,[],[normalize_14_62]) ).

cnf(refute_14_296,plain,
    ( e12 != op1(e10,e12)
    | op1(e10,e11) != e12
    | op1(e10,e11) = op1(e10,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(op1(e10,e12))]]) ).

cnf(refute_14_297,plain,
    ( e12 != op1(e10,e12)
    | op1(e10,e11) = op1(e10,e12) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_14_215,refute_14_296]) ).

cnf(refute_14_298,plain,
    e12 != op1(e10,e12),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_14_297,refute_14_295]) ).

cnf(refute_14_299,plain,
    ( op1(e10,e12) != e12
    | e12 = op1(e10,e12) ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(e12))]]) ).

cnf(refute_14_300,plain,
    op1(e10,e12) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e12)) )],[refute_14_299,refute_14_298]) ).

cnf(refute_14_301,plain,
    ( op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_14_294,refute_14_300]) ).

cnf(refute_14_302,plain,
    op1(e12,e12) != e12,
    inference(canonicalize,[],[normalize_14_63]) ).

cnf(refute_14_303,plain,
    ( op1(e11,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_14_301,refute_14_302]) ).

cnf(refute_14_304,plain,
    ( h4(e12) != e22
    | op1(e13,e12) != e12
    | h4(op1(e13,e12)) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e12)),e22) ),[0,0],$fot(e12)]]) ).

cnf(refute_14_305,plain,
    ( h4(e12) != e22
    | h4(op1(e13,e12)) = e22
    | op1(e11,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_14_303,refute_14_304]) ).

cnf(refute_14_306,plain,
    ( h4(e12) != e22
    | op1(e11,e12) = e12
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),e22) )],[refute_14_305,refute_14_293]) ).

cnf(refute_14_307,plain,
    ( e22 != e22
    | h4(e12) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).

cnf(refute_14_308,plain,
    ( e22 != e22
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_113,refute_14_307]) ).

cnf(refute_14_309,plain,
    ( e22 != e22
    | op1(e11,e12) = e12
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_308,refute_14_306]) ).

cnf(refute_14_310,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_14_311,plain,
    ( op1(e11,e12) = e12
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_14_310,refute_14_309]) ).

cnf(refute_14_312,plain,
    ( op2(e21,e22) != e21
    | op2(e21,e22) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0],$fot(e22)]]) ).

cnf(refute_14_313,plain,
    ( op2(e21,e22) != e21
    | e22 = e21
    | op1(e11,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_14_311,refute_14_312]) ).

cnf(refute_14_314,plain,
    ( e22 = e21
    | op1(e11,e12) = e12
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_14_105,refute_14_313]) ).

cnf(refute_14_315,plain,
    ( op1(e11,e12) = e12
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_14_314,refute_14_73]) ).

cnf(refute_14_316,plain,
    ( e21 != e21
    | op2(e21,e20) != e21
    | e21 = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e20)) ),[1],$fot(e21)]]) ).

cnf(refute_14_317,plain,
    ( e21 != e21
    | e21 = op2(e21,e20)
    | op1(e11,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_14_315,refute_14_316]) ).

cnf(refute_14_318,plain,
    ( e21 != e21
    | op1(e11,e12) = e12 ),
    inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_14_317,refute_14_256]) ).

cnf(refute_14_319,plain,
    op1(e11,e12) = e12,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_14_63,refute_14_318]) ).

cnf(refute_14_320,plain,
    h4(op1(e11,e12)) = h4(op1(e11,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).

cnf(refute_14_321,plain,
    ( h4(op1(e11,e12)) != h4(op1(e11,e12))
    | op1(e11,e12) != e12
    | h4(op1(e11,e12)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) ),[1,0],$fot(e12)]]) ).

cnf(refute_14_322,plain,
    ( op1(e11,e12) != e12
    | h4(op1(e11,e12)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_14_320,refute_14_321]) ).

cnf(refute_14_323,plain,
    h4(op1(e11,e12)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_14_319,refute_14_322]) ).

cnf(refute_14_324,plain,
    ( h4(e12) != e22
    | h4(op1(e11,e12)) != h4(e12)
    | h4(op1(e11,e12)) = e22 ),
    inference(subst,[],[refute_14_21:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_14_325,plain,
    ( h4(e12) != e22
    | h4(op1(e11,e12)) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e12)) )],[refute_14_323,refute_14_324]) ).

cnf(refute_14_326,plain,
    h4(op1(e11,e12)) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_113,refute_14_325]) ).

cnf(refute_14_327,plain,
    ( h4(op1(e11,e12)) != e22
    | h4(op1(e11,e12)) != op2(e21,e22)
    | e22 = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(e22)]]) ).

cnf(refute_14_328,plain,
    ( h4(op1(e11,e12)) != op2(e21,e22)
    | e22 = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e22) )],[refute_14_326,refute_14_327]) ).

cnf(refute_14_329,plain,
    e22 = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_14_131,refute_14_328]) ).

cnf(refute_14_330,plain,
    ( e22 != op2(e21,e22)
    | op2(e21,e22) = e22 ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e22)))]]) ).

cnf(refute_14_331,plain,
    op2(e21,e22) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_14_329,refute_14_330]) ).

cnf(refute_14_332,plain,
    ( op2(e21,e22) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_14_331,refute_14_312]) ).

cnf(refute_14_333,plain,
    ( e22 = e21
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_14_105,refute_14_332]) ).

cnf(refute_14_334,plain,
    op2(e21,e20) = e21,
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_14_333,refute_14_73]) ).

cnf(refute_14_335,plain,
    ( op2(e21,e20) != e21
    | e21 = op2(e21,e20) ),
    inference(subst,[],[refute_14_6:[bind(X,$fot(op2(e21,e20))),bind(Y,$fot(e21))]]) ).

cnf(refute_14_336,plain,
    op2(e21,e20) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_14_335,refute_14_256]) ).

cnf(refute_14_337,plain,
    $false,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_14_334,refute_14_336]) ).

fof(negate_15_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) )
     => h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    inference(negate,[],[subgoal_15]) ).

fof(normalize_15_0,plain,
    ( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_15_0]) ).

fof(normalize_15_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_15_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_15_1]) ).

fof(normalize_15_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_15_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_15_3]) ).

fof(normalize_15_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_15_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_15_5]) ).

fof(normalize_15_7,plain,
    ( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_15_0,normalize_15_2,normalize_15_4,normalize_15_6]) ).

fof(normalize_15_8,plain,
    h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
    inference(conjunct,[],[normalize_15_7]) ).

fof(normalize_15_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_15_10,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_15_9]) ).

fof(normalize_15_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_15_12,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_15_11]) ).

fof(normalize_15_13,plain,
    ( e10 = op1(e13,op1(e13,e13))
    & e11 = op1(e13,e13)
    & e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_15_14,plain,
    e11 = op1(e13,e13),
    inference(conjunct,[],[normalize_15_13]) ).

fof(normalize_15_15,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_15_9]) ).

cnf(refute_15_0,plain,
    h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
    inference(canonicalize,[],[normalize_15_8]) ).

cnf(refute_15_1,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_15_10]) ).

cnf(refute_15_2,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_15_12]) ).

cnf(refute_15_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_15_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_15_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_15_3,refute_15_4]) ).

cnf(refute_15_6,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_15_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_15_7,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_15_2,refute_15_6]) ).

cnf(refute_15_8,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_15_9,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_15_7,refute_15_8]) ).

cnf(refute_15_10,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_15_1,refute_15_9]) ).

cnf(refute_15_11,plain,
    e11 = op1(e13,e13),
    inference(canonicalize,[],[normalize_15_14]) ).

cnf(refute_15_12,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_15_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_15_13,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_15_11,refute_15_12]) ).

cnf(refute_15_14,plain,
    h4(op1(e13,e13)) = h4(op1(e13,e13)),
    introduced(tautology,[refl,[$fot(h4(op1(e13,e13)))]]) ).

cnf(refute_15_15,plain,
    ( h4(op1(e13,e13)) != h4(op1(e13,e13))
    | op1(e13,e13) != e11
    | h4(op1(e13,e13)) = h4(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) ),[1,0],$fot(e11)]]) ).

cnf(refute_15_16,plain,
    ( op1(e13,e13) != e11
    | h4(op1(e13,e13)) = h4(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) )],[refute_15_14,refute_15_15]) ).

cnf(refute_15_17,plain,
    h4(op1(e13,e13)) = h4(e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_15_13,refute_15_16]) ).

cnf(refute_15_18,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_15_19,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_5,refute_15_18]) ).

cnf(refute_15_20,plain,
    ( h4(e11) != e21
    | h4(op1(e13,e13)) != h4(e11)
    | h4(op1(e13,e13)) = e21 ),
    inference(subst,[],[refute_15_19:[bind(X,$fot(h4(op1(e13,e13)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_15_21,plain,
    ( h4(e11) != e21
    | h4(op1(e13,e13)) = e21 ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(e11)) )],[refute_15_17,refute_15_20]) ).

cnf(refute_15_22,plain,
    h4(op1(e13,e13)) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_15_10,refute_15_21]) ).

cnf(refute_15_23,plain,
    ( e21 != op2(h4(e13),h4(e13))
    | h4(op1(e13,e13)) != e21
    | h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),e21) ),[1],$fot(op2(h4(e13),h4(e13)))]]) ).

cnf(refute_15_24,plain,
    ( e21 != op2(h4(e13),h4(e13))
    | h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),e21) )],[refute_15_22,refute_15_23]) ).

cnf(refute_15_25,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_15_15]) ).

cnf(refute_15_26,plain,
    op2(e23,h4(e13)) = op2(e23,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).

cnf(refute_15_27,plain,
    ( h4(e13) != e23
    | op2(e23,h4(e13)) != op2(e23,h4(e13))
    | op2(e23,h4(e13)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_15_28,plain,
    ( h4(e13) != e23
    | op2(e23,h4(e13)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_15_26,refute_15_27]) ).

cnf(refute_15_29,plain,
    op2(e23,h4(e13)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_15_25,refute_15_28]) ).

cnf(refute_15_30,plain,
    op2(h4(e13),h4(e13)) = op2(h4(e13),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e13)))]]) ).

cnf(refute_15_31,plain,
    ( h4(e13) != e23
    | op2(h4(e13),h4(e13)) != op2(h4(e13),h4(e13))
    | op2(h4(e13),h4(e13)) = op2(e23,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) ),[1,0],$fot(e23)]]) ).

cnf(refute_15_32,plain,
    ( h4(e13) != e23
    | op2(h4(e13),h4(e13)) = op2(e23,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) )],[refute_15_30,refute_15_31]) ).

cnf(refute_15_33,plain,
    op2(h4(e13),h4(e13)) = op2(e23,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_15_25,refute_15_32]) ).

cnf(refute_15_34,plain,
    ( op2(e23,h4(e13)) != op2(e23,e23)
    | op2(h4(e13),h4(e13)) != op2(e23,h4(e13))
    | op2(h4(e13),h4(e13)) = op2(e23,e23) ),
    inference(subst,[],[refute_15_19:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_15_35,plain,
    ( op2(e23,h4(e13)) != op2(e23,e23)
    | op2(h4(e13),h4(e13)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e23,h4(e13))) )],[refute_15_33,refute_15_34]) ).

cnf(refute_15_36,plain,
    op2(h4(e13),h4(e13)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e23)) )],[refute_15_29,refute_15_35]) ).

cnf(refute_15_37,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e13),h4(e13)) != op2(e23,e23)
    | op2(h4(e13),h4(e13)) = e21 ),
    inference(subst,[],[refute_15_19:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).

cnf(refute_15_38,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e13),h4(e13)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e23,e23)) )],[refute_15_36,refute_15_37]) ).

cnf(refute_15_39,plain,
    op2(h4(e13),h4(e13)) = e21,
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_15_7,refute_15_38]) ).

cnf(refute_15_40,plain,
    ( e21 != e21
    | op2(h4(e13),h4(e13)) != e21
    | e21 = op2(h4(e13),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e13),h4(e13))) ),[1],$fot(e21)]]) ).

cnf(refute_15_41,plain,
    ( e21 != e21
    | e21 = op2(h4(e13),h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),e21) )],[refute_15_39,refute_15_40]) ).

cnf(refute_15_42,plain,
    ( e21 != e21
    | h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    inference(resolve,[$cnf( $equal(e21,op2(h4(e13),h4(e13))) )],[refute_15_41,refute_15_24]) ).

cnf(refute_15_43,plain,
    e21 != e21,
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),op2(h4(e13),h4(e13))) )],[refute_15_42,refute_15_0]) ).

cnf(refute_15_44,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_15_45,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_15_44,refute_15_43]) ).

fof(negate_16_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & h4(e10) != e20
        & h4(e11) != e20
        & h4(e12) != e20 )
     => h4(e13) = e20 ),
    inference(negate,[],[subgoal_16]) ).

fof(normalize_16_0,plain,
    ( h4(e10) != e20
    & h4(e11) != e20
    & h4(e12) != e20
    & h4(e13) != e20
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
    & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_16_0]) ).

fof(normalize_16_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_16_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_16_1]) ).

fof(normalize_16_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_16_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_16_3]) ).

fof(normalize_16_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_16_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_16_5]) ).

fof(normalize_16_7,plain,
    ( h4(e10) != e20
    & h4(e11) != e20
    & h4(e12) != e20
    & h4(e13) != e20
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
    & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_16_0,normalize_16_2,normalize_16_4,normalize_16_6]) ).

fof(normalize_16_8,plain,
    h4(e10) != e20,
    inference(conjunct,[],[normalize_16_7]) ).

fof(normalize_16_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_16_10,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_16_9]) ).

fof(normalize_16_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_16_12,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_16_11]) ).

cnf(refute_16_0,plain,
    h4(e10) != e20,
    inference(canonicalize,[],[normalize_16_8]) ).

cnf(refute_16_1,plain,
    h4(e10) = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_16_10]) ).

cnf(refute_16_2,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_16_12]) ).

cnf(refute_16_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_16_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_16_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_16_3,refute_16_4]) ).

cnf(refute_16_6,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_16_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_16_7,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_16_2,refute_16_6]) ).

cnf(refute_16_8,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).

cnf(refute_16_9,plain,
    ( h4(e10) != op2(e23,op2(e23,e23))
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_16_7,refute_16_8]) ).

cnf(refute_16_10,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_16_1,refute_16_9]) ).

cnf(refute_16_11,plain,
    ( e20 != e20
    | h4(e10) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).

cnf(refute_16_12,plain,
    ( e20 != e20
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_16_10,refute_16_11]) ).

cnf(refute_16_13,plain,
    e20 != e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_16_12,refute_16_0]) ).

cnf(refute_16_14,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_16_15,plain,
    $false,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_14,refute_16_13]) ).

fof(negate_17_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & ( h4(e10) = e20
          | h4(e11) = e20
          | h4(e12) = e20
          | h4(e13) = e20 )
        & h4(e10) != e21
        & h4(e11) != e21
        & h4(e12) != e21 )
     => h4(e13) = e21 ),
    inference(negate,[],[subgoal_17]) ).

fof(normalize_17_0,plain,
    ( h4(e10) != e21
    & h4(e11) != e21
    & h4(e12) != e21
    & h4(e13) != e21
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
    & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
    & ( h4(e10) = e20
      | h4(e11) = e20
      | h4(e12) = e20
      | h4(e13) = e20 )
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_17_0]) ).

fof(normalize_17_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_17_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_17_1]) ).

fof(normalize_17_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_17_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_17_3]) ).

fof(normalize_17_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_17_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_17_5]) ).

fof(normalize_17_7,plain,
    ( h4(e10) != e21
    & h4(e11) != e21
    & h4(e12) != e21
    & h4(e13) != e21
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
    & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
    & ( h4(e10) = e20
      | h4(e11) = e20
      | h4(e12) = e20
      | h4(e13) = e20 )
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_17_0,normalize_17_2,normalize_17_4,normalize_17_6]) ).

fof(normalize_17_8,plain,
    h4(e11) != e21,
    inference(conjunct,[],[normalize_17_7]) ).

fof(normalize_17_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_17_10,plain,
    h4(e11) = op2(e23,e23),
    inference(conjunct,[],[normalize_17_9]) ).

fof(normalize_17_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_17_12,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_17_11]) ).

cnf(refute_17_0,plain,
    h4(e11) != e21,
    inference(canonicalize,[],[normalize_17_8]) ).

cnf(refute_17_1,plain,
    h4(e11) = op2(e23,e23),
    inference(canonicalize,[],[normalize_17_10]) ).

cnf(refute_17_2,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_17_12]) ).

cnf(refute_17_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_17_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_17_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_17_3,refute_17_4]) ).

cnf(refute_17_6,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_17_7,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_17_2,refute_17_6]) ).

cnf(refute_17_8,plain,
    ( h4(e11) != op2(e23,e23)
    | op2(e23,e23) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_17_9,plain,
    ( h4(e11) != op2(e23,e23)
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_17_7,refute_17_8]) ).

cnf(refute_17_10,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_17_1,refute_17_9]) ).

cnf(refute_17_11,plain,
    ( e21 != e21
    | h4(e11) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).

cnf(refute_17_12,plain,
    ( e21 != e21
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_10,refute_17_11]) ).

cnf(refute_17_13,plain,
    e21 != e21,
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_12,refute_17_0]) ).

cnf(refute_17_14,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_17_15,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_14,refute_17_13]) ).

fof(negate_18_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & ( h4(e10) = e20
          | h4(e11) = e20
          | h4(e12) = e20
          | h4(e13) = e20 )
        & ( h4(e10) = e21
          | h4(e11) = e21
          | h4(e12) = e21
          | h4(e13) = e21 )
        & h4(e10) != e22
        & h4(e11) != e22
        & h4(e12) != e22 )
     => h4(e13) = e22 ),
    inference(negate,[],[subgoal_18]) ).

fof(normalize_18_0,plain,
    ( h4(e10) != e22
    & h4(e11) != e22
    & h4(e12) != e22
    & h4(e13) != e22
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
    & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
    & ( h4(e10) = e20
      | h4(e11) = e20
      | h4(e12) = e20
      | h4(e13) = e20 )
    & ( h4(e10) = e21
      | h4(e11) = e21
      | h4(e12) = e21
      | h4(e13) = e21 )
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_18_0]) ).

fof(normalize_18_1,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_18_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_18_1]) ).

fof(normalize_18_3,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_18_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_18_3]) ).

fof(normalize_18_5,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_18_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_18_5]) ).

fof(normalize_18_7,plain,
    ( h4(e10) != e22
    & h4(e11) != e22
    & h4(e12) != e22
    & h4(e13) != e22
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
    & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
    & ( h4(e10) = e20
      | h4(e11) = e20
      | h4(e12) = e20
      | h4(e13) = e20 )
    & ( h4(e10) = e21
      | h4(e11) = e21
      | h4(e12) = e21
      | h4(e13) = e21 )
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_18_0,normalize_18_2,normalize_18_4,normalize_18_6]) ).

fof(normalize_18_8,plain,
    h4(e12) != e22,
    inference(conjunct,[],[normalize_18_7]) ).

fof(normalize_18_9,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_18_10,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_18_9]) ).

fof(normalize_18_11,plain,
    ( e20 = op2(e23,op2(e23,e23))
    & e21 = op2(e23,e23)
    & e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_18_12,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(conjunct,[],[normalize_18_11]) ).

fof(normalize_18_13,plain,
    e21 = op2(e23,e23),
    inference(conjunct,[],[normalize_18_11]) ).

fof(normalize_18_14,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(conjunct,[],[normalize_18_11]) ).

cnf(refute_18_0,plain,
    h4(e12) != e22,
    inference(canonicalize,[],[normalize_18_8]) ).

cnf(refute_18_1,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_18_10]) ).

cnf(refute_18_2,plain,
    e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    inference(canonicalize,[],[normalize_18_12]) ).

cnf(refute_18_3,plain,
    e21 = op2(e23,e23),
    inference(canonicalize,[],[normalize_18_13]) ).

cnf(refute_18_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_18_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_18_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_18_4,refute_18_5]) ).

cnf(refute_18_7,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_18_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_18_8,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_18_3,refute_18_7]) ).

cnf(refute_18_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_18_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_18_11,plain,
    ( op2(e23,e23) != e21
    | op2(e20,op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_18_9,refute_18_10]) ).

cnf(refute_18_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_18_8,refute_18_11]) ).

cnf(refute_18_13,plain,
    e20 = op2(e23,op2(e23,e23)),
    inference(canonicalize,[],[normalize_18_14]) ).

cnf(refute_18_14,plain,
    ( e20 != op2(e23,op2(e23,e23))
    | op2(e23,op2(e23,e23)) = e20 ),
    inference(subst,[],[refute_18_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).

cnf(refute_18_15,plain,
    op2(e23,op2(e23,e23)) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_18_13,refute_18_14]) ).

cnf(refute_18_16,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_18_17,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_18_18,plain,
    ( op2(e23,op2(e23,e23)) != e20
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_18_16,refute_18_17]) ).

cnf(refute_18_19,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_18_15,refute_18_18]) ).

cnf(refute_18_20,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_18_21,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_18_6,refute_18_20]) ).

cnf(refute_18_22,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(subst,[],[refute_18_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_18_23,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_18_19,refute_18_22]) ).

cnf(refute_18_24,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e21)) )],[refute_18_12,refute_18_23]) ).

cnf(refute_18_25,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | e22 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_18_26,plain,
    ( e22 != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | e22 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_18_24,refute_18_25]) ).

cnf(refute_18_27,plain,
    e22 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_18_2,refute_18_26]) ).

cnf(refute_18_28,plain,
    ( e22 != op2(e20,e21)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_18_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_18_29,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_18_27,refute_18_28]) ).

cnf(refute_18_30,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != op2(e20,e21)
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(subst,[],[refute_18_21:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e22))]]) ).

cnf(refute_18_31,plain,
    ( op2(e20,e21) != e22
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),op2(e20,e21)) )],[refute_18_24,refute_18_30]) ).

cnf(refute_18_32,plain,
    op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_18_29,refute_18_31]) ).

cnf(refute_18_33,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | op2(op2(e23,op2(e23,e23)),op2(e23,e23)) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),op2(e23,e23)))]]) ).

cnf(refute_18_34,plain,
    ( h4(e12) != op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),op2(e23,e23)),e22) )],[refute_18_32,refute_18_33]) ).

cnf(refute_18_35,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),op2(e23,e23))) )],[refute_18_1,refute_18_34]) ).

cnf(refute_18_36,plain,
    ( e22 != e22
    | h4(e12) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).

cnf(refute_18_37,plain,
    ( e22 != e22
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_18_35,refute_18_36]) ).

cnf(refute_18_38,plain,
    e22 != e22,
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_18_37,refute_18_0]) ).

cnf(refute_18_39,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_18_40,plain,
    $false,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_18_39,refute_18_38]) ).

fof(negate_19_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & ( h4(e10) = e20
          | h4(e11) = e20
          | h4(e12) = e20
          | h4(e13) = e20 )
        & ( h4(e10) = e21
          | h4(e11) = e21
          | h4(e12) = e21
          | h4(e13) = e21 )
        & ( h4(e10) = e22
          | h4(e11) = e22
          | h4(e12) = e22
          | h4(e13) = e22 )
        & h4(e10) != e23
        & h4(e11) != e23
        & h4(e12) != e23 )
     => h4(e13) = e23 ),
    inference(negate,[],[subgoal_19]) ).

fof(normalize_19_0,plain,
    ( h4(e10) != e23
    & h4(e11) != e23
    & h4(e12) != e23
    & h4(e13) != e23
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
    & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
    & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
    & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
    & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
    & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
    & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
    & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
    & ( h4(e10) = e20
      | h4(e11) = e20
      | h4(e12) = e20
      | h4(e13) = e20 )
    & ( h4(e10) = e21
      | h4(e11) = e21
      | h4(e12) = e21
      | h4(e13) = e21 )
    & ( h4(e10) = e22
      | h4(e11) = e22
      | h4(e12) = e22
      | h4(e13) = e22 )
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_19_0]) ).

fof(normalize_19_1,plain,
    ( h4(e10) = op2(e23,op2(e23,e23))
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_19_2,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_19_1]) ).

fof(normalize_19_3,plain,
    ( h1(e10) = op2(e20,op2(e20,e20))
    & h1(e11) = op2(e20,e20)
    & h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_19_4,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_19_3]) ).

fof(normalize_19_5,plain,
    ( h2(e10) = op2(e21,op2(e21,e21))
    & h2(e11) = op2(e21,e21)
    & h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_19_6,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_19_5]) ).

fof(normalize_19_7,plain,
    ( h3(e10) = op2(e22,op2(e22,e22))
    & h3(e11) = op2(e22,e22)
    & h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_19_8,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_19_7]) ).

fof(normalize_19_9,plain,
    $false,
    inference(simplify,[],[normalize_19_0,normalize_19_2,normalize_19_4,normalize_19_6,normalize_19_8]) ).

cnf(refute_19_0,plain,
    $false,
    inference(canonicalize,[],[normalize_19_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG111+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun  9 02:14:22 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.77/2.98  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.77/2.98  
% 2.77/2.98  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.33/3.52  
%------------------------------------------------------------------------------