Metis---2.4.THM-CRf.s

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : ALG121+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n032.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 17:36:32 EDT 2022

% Result   : Theorem 2.44s 2.63s
% Output   : CNFRefutation 2.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :  812
% Syntax   : Number of formulae    : 4162 (1699 unt;   0 def)
%            Number of atoms       : 22695 (22674 equ)
%            Maximal formula atoms :  128 (   5 avg)
%            Number of connectives : 27219 (8686   ~;10562   |;7931   &)
%                                         (   0 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   2 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   :  203 (   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(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e11,e11) != e11 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e12,e12) != e12 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e13,e13) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e10) != e10 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e11,e11) != e11 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e12,e12) != e12 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e13,e13) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e10) != e10 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e11,e11) != e11 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e12,e12) != e12 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e10) != e10 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e11,e11) != e11 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e12,e12) != e12 )
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & op1(e13,e13) != e13 ) ) ) ).

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

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

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

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

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

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

fof(ax17,axiom,
    ( h4(e13) = e23
    & h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,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,
    ( 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_1,plain,
    ( h1(e10) = op2(e20,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_0_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ( h2(e10) = op2(e21,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),e21)
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_0_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ( h3(e10) = op2(e22,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22)
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_0_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_0_5]) ).

fof(normalize_0_7,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_0,normalize_0_2,normalize_0_4,normalize_0_6]) ).

fof(normalize_0_8,plain,
    h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
    inference(conjunct,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ( h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_0_10,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_0_12,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_0_11]) ).

fof(normalize_0_14,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_0_15,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_0_14]) ).

fof(normalize_0_16,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_0_14]) ).

fof(normalize_0_17,plain,
    h4(e10) = op2(e23,e23),
    inference(conjunct,[],[normalize_0_9]) ).

cnf(refute_0_0,plain,
    h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_1,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_2,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_3,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_0_8,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_0_3,refute_0_7]) ).

cnf(refute_0_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_0_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_0_11,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_8,refute_0_11]) ).

cnf(refute_0_13,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_0_14,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_0_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_8,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_18,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_0_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_0_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_0_16,refute_0_19]) ).

cnf(refute_0_21,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_0_12,refute_0_20]) ).

cnf(refute_0_22,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_0_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_0_21,refute_0_22]) ).

cnf(refute_0_24,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_2,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_0_26,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_0_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_0_28,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_0_21,refute_0_27]) ).

cnf(refute_0_29,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_0_26,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_0_31,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_1,refute_0_31]) ).

cnf(refute_0_33,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_34,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_35,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

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

cnf(refute_0_37,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_0_38,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

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

cnf(refute_0_40,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_0_36,refute_0_39]) ).

cnf(refute_0_41,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_0_42,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_0_43,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_0_41,refute_0_42]) ).

cnf(refute_0_44,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_0_36,refute_0_43]) ).

cnf(refute_0_45,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_0_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_0_46,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_0_44,refute_0_45]) ).

cnf(refute_0_47,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_0_40,refute_0_46]) ).

cnf(refute_0_48,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_0_49,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_0_47,refute_0_48]) ).

cnf(refute_0_50,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_0_33,refute_0_49]) ).

cnf(refute_0_51,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_0_52,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    h4(op1(e10,e10)) = h4(op1(e10,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).

cnf(refute_0_54,plain,
    ( h4(op1(e10,e10)) != h4(op1(e10,e10))
    | op1(e10,e10) != e11
    | h4(op1(e10,e10)) = h4(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e11)]]) ).

cnf(refute_0_55,plain,
    ( op1(e10,e10) != e11
    | h4(op1(e10,e10)) = h4(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_0_53,refute_0_54]) ).

cnf(refute_0_56,plain,
    h4(op1(e10,e10)) = h4(e11),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_0_52,refute_0_55]) ).

cnf(refute_0_57,plain,
    ( h4(e11) != e21
    | h4(op1(e10,e10)) != h4(e11)
    | h4(op1(e10,e10)) = e21 ),
    inference(subst,[],[refute_0_18:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_0_58,plain,
    ( h4(e11) != e21
    | h4(op1(e10,e10)) = e21 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e11)) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    h4(op1(e10,e10)) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_0_32,refute_0_58]) ).

cnf(refute_0_60,plain,
    ( e21 != op2(h4(e10),h4(e10))
    | h4(op1(e10,e10)) != e21
    | h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e21) ),[1],$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_0_61,plain,
    ( e21 != op2(h4(e10),h4(e10))
    | h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_0_59,refute_0_60]) ).

cnf(refute_0_62,plain,
    h4(e10) = op2(e23,e23),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_63,plain,
    ( h4(e10) != op2(e23,e23)
    | op2(e23,e23) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_0_64,plain,
    ( h4(e10) != op2(e23,e23)
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_8,refute_0_63]) ).

cnf(refute_0_65,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e23)) )],[refute_0_62,refute_0_64]) ).

cnf(refute_0_66,plain,
    op2(e20,h4(e10)) = op2(e20,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).

cnf(refute_0_67,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_68,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_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    op2(e20,h4(e10)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_65,refute_0_68]) ).

cnf(refute_0_70,plain,
    op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_0_71,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_72,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_70,refute_0_71]) ).

cnf(refute_0_73,plain,
    op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_65,refute_0_72]) ).

cnf(refute_0_74,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_18:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_0_75,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_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    op2(h4(e10),h4(e10)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_0_69,refute_0_75]) ).

cnf(refute_0_77,plain,
    ( op2(e20,e20) != e21
    | op2(h4(e10),h4(e10)) != op2(e20,e20)
    | op2(h4(e10),h4(e10)) = e21 ),
    inference(subst,[],[refute_0_18:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_0_78,plain,
    ( op2(e20,e20) != e21
    | op2(h4(e10),h4(e10)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_0_76,refute_0_77]) ).

cnf(refute_0_79,plain,
    op2(h4(e10),h4(e10)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_0_26,refute_0_78]) ).

cnf(refute_0_80,plain,
    ( e21 != e21
    | op2(h4(e10),h4(e10)) != e21
    | e21 = op2(h4(e10),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e10),h4(e10))) ),[1],$fot(e21)]]) ).

cnf(refute_0_81,plain,
    ( e21 != e21
    | e21 = op2(h4(e10),h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),e21) )],[refute_0_79,refute_0_80]) ).

cnf(refute_0_82,plain,
    ( e21 != e21
    | h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    inference(resolve,[$cnf( $equal(e21,op2(h4(e10),h4(e10))) )],[refute_0_81,refute_0_61]) ).

cnf(refute_0_83,plain,
    e21 != e21,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_0_82,refute_0_0]) ).

cnf(refute_0_84,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_0_85,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_84,refute_0_83]) ).

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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_1_10,plain,
    h4(e10) = op2(e23,e23),
    inference(conjunct,[],[normalize_1_9]) ).

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

fof(normalize_1_12,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_1_11]) ).

fof(normalize_1_13,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_1_14,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(conjunct,[],[normalize_1_13]) ).

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

fof(normalize_1_16,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_1_15]) ).

fof(normalize_1_17,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_1_15]) ).

fof(normalize_1_18,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_1_19,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(conjunct,[],[normalize_1_18]) ).

fof(normalize_1_20,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_1_11]) ).

fof(normalize_1_21,plain,
    h4(e11) = op2(op2(e23,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(e10) = op2(e23,e23),
    inference(canonicalize,[],[normalize_1_10]) ).

cnf(refute_1_2,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_1_12]) ).

cnf(refute_1_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_1_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_1_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_1_3,refute_1_4]) ).

cnf(refute_1_6,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_1_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_1_7,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_1_2,refute_1_6]) ).

cnf(refute_1_8,plain,
    ( h4(e10) != op2(e23,e23)
    | op2(e23,e23) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_1_9,plain,
    ( h4(e10) != op2(e23,e23)
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_7,refute_1_8]) ).

cnf(refute_1_10,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e23)) )],[refute_1_1,refute_1_9]) ).

cnf(refute_1_11,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(canonicalize,[],[normalize_1_14]) ).

cnf(refute_1_12,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_1_16]) ).

cnf(refute_1_13,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_1_17]) ).

cnf(refute_1_14,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_1_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_1_15,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_1_13,refute_1_14]) ).

cnf(refute_1_16,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_1_17,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_1_18,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_1_16,refute_1_17]) ).

cnf(refute_1_19,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_15,refute_1_18]) ).

cnf(refute_1_20,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_1_21,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_1_22,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_1_20,refute_1_21]) ).

cnf(refute_1_23,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_15,refute_1_22]) ).

cnf(refute_1_24,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_1_25,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_5,refute_1_24]) ).

cnf(refute_1_26,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_1_25:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_1_27,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_1_23,refute_1_26]) ).

cnf(refute_1_28,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_1_19,refute_1_27]) ).

cnf(refute_1_29,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_1_30,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_1_28,refute_1_29]) ).

cnf(refute_1_31,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_1_12,refute_1_30]) ).

cnf(refute_1_32,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_1_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_1_33,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_1_31,refute_1_32]) ).

cnf(refute_1_34,plain,
    ( e11 != e11
    | op1(e10,e10) != e11
    | op1(e10,e10) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).

cnf(refute_1_35,plain,
    ( e11 != e11
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_33,refute_1_34]) ).

cnf(refute_1_36,plain,
    ( e11 != e11
    | op1(e10,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_35,refute_1_11]) ).

cnf(refute_1_37,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_1_38,plain,
    op1(e10,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_37,refute_1_36]) ).

cnf(refute_1_39,plain,
    h4(op1(e10,e11)) = h4(op1(e10,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).

cnf(refute_1_40,plain,
    ( h4(op1(e10,e11)) != h4(op1(e10,e11))
    | op1(e10,e11) != e10
    | h4(op1(e10,e11)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_1_41,plain,
    ( op1(e10,e11) != e10
    | h4(op1(e10,e11)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_1_39,refute_1_40]) ).

cnf(refute_1_42,plain,
    h4(op1(e10,e11)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_1_38,refute_1_41]) ).

cnf(refute_1_43,plain,
    ( h4(e10) != e20
    | h4(op1(e10,e11)) != h4(e10)
    | h4(op1(e10,e11)) = e20 ),
    inference(subst,[],[refute_1_25:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_1_44,plain,
    ( h4(e10) != e20
    | h4(op1(e10,e11)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e10)) )],[refute_1_42,refute_1_43]) ).

cnf(refute_1_45,plain,
    h4(op1(e10,e11)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_10,refute_1_44]) ).

cnf(refute_1_46,plain,
    ( e20 != op2(h4(e10),h4(e11))
    | h4(op1(e10,e11)) != e20
    | h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),e20) ),[1],$fot(op2(h4(e10),h4(e11)))]]) ).

cnf(refute_1_47,plain,
    ( e20 != op2(h4(e10),h4(e11))
    | h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e20) )],[refute_1_45,refute_1_46]) ).

cnf(refute_1_48,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(canonicalize,[],[normalize_1_19]) ).

cnf(refute_1_49,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_1_20]) ).

cnf(refute_1_50,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_1_51,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_1_52,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_1_50,refute_1_51]) ).

cnf(refute_1_53,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_7,refute_1_52]) ).

cnf(refute_1_54,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_1_55,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_1_56,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_54,refute_1_55]) ).

cnf(refute_1_57,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_7,refute_1_56]) ).

cnf(refute_1_58,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_1_25:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_1_59,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_1_57,refute_1_58]) ).

cnf(refute_1_60,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_1_53,refute_1_59]) ).

cnf(refute_1_61,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_1_62,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_1_60,refute_1_61]) ).

cnf(refute_1_63,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_49,refute_1_62]) ).

cnf(refute_1_64,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_1_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_1_65,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_1_63,refute_1_64]) ).

cnf(refute_1_66,plain,
    ( e21 != e21
    | op2(e20,e20) != e21
    | op2(e20,e20) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(e21)]]) ).

cnf(refute_1_67,plain,
    ( e21 != e21
    | op2(e20,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_65,refute_1_66]) ).

cnf(refute_1_68,plain,
    ( e21 != e21
    | op2(e20,e21) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_67,refute_1_48]) ).

cnf(refute_1_69,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_1_70,plain,
    op2(e20,e21) = e20,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_69,refute_1_68]) ).

cnf(refute_1_71,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_1_21]) ).

cnf(refute_1_72,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_1_25:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_1_73,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_1_60,refute_1_72]) ).

cnf(refute_1_74,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_65,refute_1_73]) ).

cnf(refute_1_75,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_1_76,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_1_74,refute_1_75]) ).

cnf(refute_1_77,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_71,refute_1_76]) ).

cnf(refute_1_78,plain,
    op2(e20,h4(e11)) = op2(e20,h4(e11)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).

cnf(refute_1_79,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_80,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_78,refute_1_79]) ).

cnf(refute_1_81,plain,
    op2(e20,h4(e11)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_1_77,refute_1_80]) ).

cnf(refute_1_82,plain,
    op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).

cnf(refute_1_83,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_84,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_82,refute_1_83]) ).

cnf(refute_1_85,plain,
    op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_10,refute_1_84]) ).

cnf(refute_1_86,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_25:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_1_87,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_85,refute_1_86]) ).

cnf(refute_1_88,plain,
    op2(h4(e10),h4(e11)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_1_81,refute_1_87]) ).

cnf(refute_1_89,plain,
    ( op2(e20,e21) != e20
    | op2(h4(e10),h4(e11)) != op2(e20,e21)
    | op2(h4(e10),h4(e11)) = e20 ),
    inference(subst,[],[refute_1_25:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e20))]]) ).

cnf(refute_1_90,plain,
    ( op2(e20,e21) != e20
    | op2(h4(e10),h4(e11)) = e20 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_1_88,refute_1_89]) ).

cnf(refute_1_91,plain,
    op2(h4(e10),h4(e11)) = e20,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_1_70,refute_1_90]) ).

cnf(refute_1_92,plain,
    ( e20 != e20
    | op2(h4(e10),h4(e11)) != e20
    | e20 = op2(h4(e10),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h4(e10),h4(e11))) ),[1],$fot(e20)]]) ).

cnf(refute_1_93,plain,
    ( e20 != e20
    | e20 = op2(h4(e10),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),e20) )],[refute_1_91,refute_1_92]) ).

cnf(refute_1_94,plain,
    ( e20 != e20
    | h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    inference(resolve,[$cnf( $equal(e20,op2(h4(e10),h4(e11))) )],[refute_1_93,refute_1_47]) ).

cnf(refute_1_95,plain,
    e20 != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_1_94,refute_1_0]) ).

cnf(refute_1_96,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_1_97,plain,
    $false,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_96,refute_1_95]) ).

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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

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

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

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

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

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

fof(normalize_2_15,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_16,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(conjunct,[],[normalize_2_15]) ).

fof(normalize_2_17,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_2_18,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_2_17]) ).

fof(normalize_2_19,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_2_17]) ).

fof(normalize_2_20,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_2_21,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(conjunct,[],[normalize_2_20]) ).

fof(normalize_2_22,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_23,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_2_22]) ).

fof(normalize_2_24,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_25,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_2_24]) ).

fof(normalize_2_26,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_2_24]) ).

fof(normalize_2_27,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(conjunct,[],[normalize_2_24]) ).

fof(normalize_2_28,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_2_17]) ).

fof(normalize_2_29,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_2_24]) ).

fof(normalize_2_30,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_2_31,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_2_30]) ).

fof(normalize_2_32,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_2_30]) ).

fof(normalize_2_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_2_34,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(conjunct,[],[normalize_2_33]) ).

fof(normalize_2_35,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_2_36,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(conjunct,[],[normalize_2_35]) ).

fof(normalize_2_37,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_38,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_2_37]) ).

fof(normalize_2_39,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_40,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_2_39]) ).

fof(normalize_2_41,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(conjunct,[],[normalize_2_39]) ).

fof(normalize_2_42,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(conjunct,[],[normalize_2_39]) ).

fof(normalize_2_43,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_2_39]) ).

fof(normalize_2_44,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_2_45,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_2_44]) ).

fof(normalize_2_46,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_2_44]) ).

fof(normalize_2_47,plain,
    h4(e10) = op2(e23,e23),
    inference(conjunct,[],[normalize_2_9]) ).

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(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_2_10]) ).

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

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

cnf(refute_2_4,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_2_14]) ).

cnf(refute_2_5,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_2_6,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_2_7,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_2_5,refute_2_6]) ).

cnf(refute_2_8,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_2_9,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_2_4,refute_2_8]) ).

cnf(refute_2_10,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_2_11,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_2_12,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_2_10,refute_2_11]) ).

cnf(refute_2_13,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_9,refute_2_12]) ).

cnf(refute_2_14,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_2_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_2_16,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_14,refute_2_15]) ).

cnf(refute_2_17,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_9,refute_2_16]) ).

cnf(refute_2_18,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_2_19,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_7,refute_2_18]) ).

cnf(refute_2_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_2_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_2_21,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_2_17,refute_2_20]) ).

cnf(refute_2_22,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_2_13,refute_2_21]) ).

cnf(refute_2_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_2_24,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_2_22,refute_2_23]) ).

cnf(refute_2_25,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_3,refute_2_24]) ).

cnf(refute_2_26,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_2_27,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_2_25,refute_2_26]) ).

cnf(refute_2_28,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_2_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_2_29,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_2_22,refute_2_28]) ).

cnf(refute_2_30,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_27,refute_2_29]) ).

cnf(refute_2_31,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_2_32,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_2_33,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_2_31,refute_2_32]) ).

cnf(refute_2_34,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_2_30,refute_2_33]) ).

cnf(refute_2_35,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_2_36,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_2_34,refute_2_35]) ).

cnf(refute_2_37,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_2_2,refute_2_36]) ).

cnf(refute_2_38,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_2_39,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_2_37,refute_2_38]) ).

cnf(refute_2_40,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(subst,[],[refute_2_19:[bind(X,$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_2_41,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_2_34,refute_2_40]) ).

cnf(refute_2_42,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_2_39,refute_2_41]) ).

cnf(refute_2_43,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_2_44,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),e22) )],[refute_2_42,refute_2_43]) ).

cnf(refute_2_45,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_2_1,refute_2_44]) ).

cnf(refute_2_46,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(canonicalize,[],[normalize_2_16]) ).

cnf(refute_2_47,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_2_18]) ).

cnf(refute_2_48,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_2_19]) ).

cnf(refute_2_49,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_2_50,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_2_48,refute_2_49]) ).

cnf(refute_2_51,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_2_52,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_2_53,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_2_51,refute_2_52]) ).

cnf(refute_2_54,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_50,refute_2_53]) ).

cnf(refute_2_55,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_2_56,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_2_57,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_2_55,refute_2_56]) ).

cnf(refute_2_58,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_50,refute_2_57]) ).

cnf(refute_2_59,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_2_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_2_60,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_2_58,refute_2_59]) ).

cnf(refute_2_61,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_2_54,refute_2_60]) ).

cnf(refute_2_62,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_2_63,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_2_61,refute_2_62]) ).

cnf(refute_2_64,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_2_47,refute_2_63]) ).

cnf(refute_2_65,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_2_66,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_2_64,refute_2_65]) ).

cnf(refute_2_67,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e10) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e11)]]) ).

cnf(refute_2_68,plain,
    ( op1(e10,e10) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_66,refute_2_67]) ).

cnf(refute_2_69,plain,
    ( e11 = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_46,refute_2_68]) ).

cnf(refute_2_70,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(canonicalize,[],[normalize_2_21]) ).

cnf(refute_2_71,plain,
    ( e11 != e11
    | op1(e10,e10) != e11
    | op1(e10,e10) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).

cnf(refute_2_72,plain,
    ( e11 != e11
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_66,refute_2_71]) ).

cnf(refute_2_73,plain,
    ( e11 != e11
    | op1(e10,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_72,refute_2_70]) ).

cnf(refute_2_74,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_2_75,plain,
    op1(e10,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_74,refute_2_73]) ).

cnf(refute_2_76,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_2_77,plain,
    ( op1(e10,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_2_75,refute_2_76]) ).

cnf(refute_2_78,plain,
    ( e10 = e12
    | e11 = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_69,refute_2_77]) ).

cnf(refute_2_79,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_2_23]) ).

cnf(refute_2_80,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_2_25]) ).

cnf(refute_2_81,plain,
    ( op1(e10,e13) != e10
    | op1(e13,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_2_82,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_50,refute_2_81]) ).

cnf(refute_2_83,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_2_82,refute_2_80]) ).

cnf(refute_2_84,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_79,refute_2_83]) ).

cnf(refute_2_85,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_2_26]) ).

cnf(refute_2_86,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_2_87,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_66,refute_2_86]) ).

cnf(refute_2_88,plain,
    e11 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_2_87,refute_2_85]) ).

cnf(refute_2_89,plain,
    ( op1(e10,e13) != e11
    | e11 = op1(e10,e13) ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e11))]]) ).

cnf(refute_2_90,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_2_89,refute_2_88]) ).

cnf(refute_2_91,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_2_84,refute_2_90]) ).

cnf(refute_2_92,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(canonicalize,[],[normalize_2_27]) ).

cnf(refute_2_93,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_2_28]) ).

cnf(refute_2_94,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_2_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_2_95,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_2_61,refute_2_94]) ).

cnf(refute_2_96,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_66,refute_2_95]) ).

cnf(refute_2_97,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_2_98,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_2_99,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_2_97,refute_2_98]) ).

cnf(refute_2_100,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_2_96,refute_2_99]) ).

cnf(refute_2_101,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_2_102,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_2_100,refute_2_101]) ).

cnf(refute_2_103,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_2_93,refute_2_102]) ).

cnf(refute_2_104,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_2_105,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_2_103,refute_2_104]) ).

cnf(refute_2_106,plain,
    ( op1(e10,e13) != e12
    | op1(e11,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_2_107,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_2_105,refute_2_106]) ).

cnf(refute_2_108,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_2_107,refute_2_92]) ).

cnf(refute_2_109,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_91,refute_2_108]) ).

cnf(refute_2_110,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) != e13
    | e13 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).

cnf(refute_2_111,plain,
    ( op1(e10,e13) != e12
    | e13 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_109,refute_2_110]) ).

cnf(refute_2_112,plain,
    ( e10 = e12
    | e11 = e12
    | e13 = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_78,refute_2_111]) ).

cnf(refute_2_113,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_2_29]) ).

cnf(refute_2_114,plain,
    ( e12 != op1(e13,e13)
    | op1(e11,e13) != e12
    | op1(e11,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).

cnf(refute_2_115,plain,
    ( e12 != op1(e13,e13)
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_2_105,refute_2_114]) ).

cnf(refute_2_116,plain,
    ( e12 != e10
    | op1(e13,e13) != e10
    | e12 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_2_117,plain,
    ( e12 != e10
    | e12 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_50,refute_2_116]) ).

cnf(refute_2_118,plain,
    ( e12 != e10
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_2_117,refute_2_115]) ).

cnf(refute_2_119,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_2_118,refute_2_113]) ).

cnf(refute_2_120,plain,
    ( e10 != e12
    | e12 = e10 ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(e10)),bind(Y,$fot(e12))]]) ).

cnf(refute_2_121,plain,
    e10 != e12,
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_2_120,refute_2_119]) ).

cnf(refute_2_122,plain,
    ( e11 = e12
    | e13 = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_112,refute_2_121]) ).

cnf(refute_2_123,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_2_31]) ).

cnf(refute_2_124,plain,
    ( e13 = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_122,refute_2_123]) ).

cnf(refute_2_125,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_2_32]) ).

cnf(refute_2_126,plain,
    ( e13 != e12
    | e12 = e13 ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).

cnf(refute_2_127,plain,
    e13 != e12,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_2_126,refute_2_125]) ).

cnf(refute_2_128,plain,
    op1(e10,e12) = e12,
    inference(resolve,[$cnf( $equal(e13,e12) )],[refute_2_124,refute_2_127]) ).

cnf(refute_2_129,plain,
    h4(op1(e10,e12)) = h4(op1(e10,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).

cnf(refute_2_130,plain,
    ( h4(op1(e10,e12)) != h4(op1(e10,e12))
    | op1(e10,e12) != e12
    | h4(op1(e10,e12)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e12)]]) ).

cnf(refute_2_131,plain,
    ( op1(e10,e12) != e12
    | h4(op1(e10,e12)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_2_129,refute_2_130]) ).

cnf(refute_2_132,plain,
    h4(op1(e10,e12)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_128,refute_2_131]) ).

cnf(refute_2_133,plain,
    ( h4(e12) != e22
    | h4(op1(e10,e12)) != h4(e12)
    | h4(op1(e10,e12)) = e22 ),
    inference(subst,[],[refute_2_19:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_2_134,plain,
    ( h4(e12) != e22
    | h4(op1(e10,e12)) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e12)) )],[refute_2_132,refute_2_133]) ).

cnf(refute_2_135,plain,
    h4(op1(e10,e12)) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_2_45,refute_2_134]) ).

cnf(refute_2_136,plain,
    ( e22 != op2(h4(e10),h4(e12))
    | h4(op1(e10,e12)) != e22
    | h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e22) ),[1],$fot(op2(h4(e10),h4(e12)))]]) ).

cnf(refute_2_137,plain,
    ( e22 != op2(h4(e10),h4(e12))
    | h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e22) )],[refute_2_135,refute_2_136]) ).

cnf(refute_2_138,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(canonicalize,[],[normalize_2_34]) ).

cnf(refute_2_139,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(e21)]]) ).

cnf(refute_2_140,plain,
    ( op2(e20,e20) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_27,refute_2_139]) ).

cnf(refute_2_141,plain,
    ( e21 = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_2_138,refute_2_140]) ).

cnf(refute_2_142,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(canonicalize,[],[normalize_2_36]) ).

cnf(refute_2_143,plain,
    ( e21 != e21
    | op2(e20,e20) != e21
    | op2(e20,e20) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(e21)]]) ).

cnf(refute_2_144,plain,
    ( e21 != e21
    | op2(e20,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_27,refute_2_143]) ).

cnf(refute_2_145,plain,
    ( e21 != e21
    | op2(e20,e21) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_144,refute_2_142]) ).

cnf(refute_2_146,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_2_147,plain,
    op2(e20,e21) = e20,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_146,refute_2_145]) ).

cnf(refute_2_148,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(e20)]]) ).

cnf(refute_2_149,plain,
    ( op2(e20,e21) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_2_147,refute_2_148]) ).

cnf(refute_2_150,plain,
    ( e20 = e22
    | e21 = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_141,refute_2_149]) ).

cnf(refute_2_151,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_2_38]) ).

cnf(refute_2_152,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_2_40]) ).

cnf(refute_2_153,plain,
    ( op2(e20,e23) != e20
    | op2(e23,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_2_154,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_9,refute_2_153]) ).

cnf(refute_2_155,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_2_154,refute_2_152]) ).

cnf(refute_2_156,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_151,refute_2_155]) ).

cnf(refute_2_157,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(canonicalize,[],[normalize_2_41]) ).

cnf(refute_2_158,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_2_159,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_27,refute_2_158]) ).

cnf(refute_2_160,plain,
    e21 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_2_159,refute_2_157]) ).

cnf(refute_2_161,plain,
    ( op2(e20,e23) != e21
    | e21 = op2(e20,e23) ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e21))]]) ).

cnf(refute_2_162,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_2_161,refute_2_160]) ).

cnf(refute_2_163,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_2_156,refute_2_162]) ).

cnf(refute_2_164,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(canonicalize,[],[normalize_2_42]) ).

cnf(refute_2_165,plain,
    ( op2(e20,e23) != e22
    | op2(e21,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_2_166,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_2_39,refute_2_165]) ).

cnf(refute_2_167,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_2_166,refute_2_164]) ).

cnf(refute_2_168,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_163,refute_2_167]) ).

cnf(refute_2_169,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(e23)]]) ).

cnf(refute_2_170,plain,
    ( op2(e20,e23) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_168,refute_2_169]) ).

cnf(refute_2_171,plain,
    ( e20 = e22
    | e21 = e22
    | e23 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_150,refute_2_170]) ).

cnf(refute_2_172,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_2_43]) ).

cnf(refute_2_173,plain,
    ( e22 != op2(e23,e23)
    | op2(e21,e23) != e22
    | op2(e21,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).

cnf(refute_2_174,plain,
    ( e22 != op2(e23,e23)
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_2_39,refute_2_173]) ).

cnf(refute_2_175,plain,
    ( e22 != e20
    | op2(e23,e23) != e20
    | e22 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_2_176,plain,
    ( e22 != e20
    | e22 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_9,refute_2_175]) ).

cnf(refute_2_177,plain,
    ( e22 != e20
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_2_176,refute_2_174]) ).

cnf(refute_2_178,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_2_177,refute_2_172]) ).

cnf(refute_2_179,plain,
    ( e20 != e22
    | e22 = e20 ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(e20)),bind(Y,$fot(e22))]]) ).

cnf(refute_2_180,plain,
    e20 != e22,
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_179,refute_2_178]) ).

cnf(refute_2_181,plain,
    ( e21 = e22
    | e23 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_171,refute_2_180]) ).

cnf(refute_2_182,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_2_45]) ).

cnf(refute_2_183,plain,
    ( e23 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_181,refute_2_182]) ).

cnf(refute_2_184,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_2_46]) ).

cnf(refute_2_185,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_2_7:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_2_186,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_185,refute_2_184]) ).

cnf(refute_2_187,plain,
    op2(e20,e22) = e22,
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_183,refute_2_186]) ).

cnf(refute_2_188,plain,
    op2(e20,h4(e12)) = op2(e20,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).

cnf(refute_2_189,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_190,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_188,refute_2_189]) ).

cnf(refute_2_191,plain,
    op2(e20,h4(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_2_45,refute_2_190]) ).

cnf(refute_2_192,plain,
    h4(e10) = op2(e23,e23),
    inference(canonicalize,[],[normalize_2_47]) ).

cnf(refute_2_193,plain,
    ( h4(e10) != op2(e23,e23)
    | op2(e23,e23) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_2_194,plain,
    ( h4(e10) != op2(e23,e23)
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_9,refute_2_193]) ).

cnf(refute_2_195,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e23)) )],[refute_2_192,refute_2_194]) ).

cnf(refute_2_196,plain,
    op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).

cnf(refute_2_197,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_198,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_196,refute_2_197]) ).

cnf(refute_2_199,plain,
    op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_195,refute_2_198]) ).

cnf(refute_2_200,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_19:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).

cnf(refute_2_201,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_199,refute_2_200]) ).

cnf(refute_2_202,plain,
    op2(h4(e10),h4(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_2_191,refute_2_201]) ).

cnf(refute_2_203,plain,
    ( op2(e20,e22) != e22
    | op2(h4(e10),h4(e12)) != op2(e20,e22)
    | op2(h4(e10),h4(e12)) = e22 ),
    inference(subst,[],[refute_2_19:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(e22))]]) ).

cnf(refute_2_204,plain,
    ( op2(e20,e22) != e22
    | op2(h4(e10),h4(e12)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_2_202,refute_2_203]) ).

cnf(refute_2_205,plain,
    op2(h4(e10),h4(e12)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_2_187,refute_2_204]) ).

cnf(refute_2_206,plain,
    ( e22 != e22
    | op2(h4(e10),h4(e12)) != e22
    | e22 = op2(h4(e10),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(h4(e10),h4(e12))) ),[1],$fot(e22)]]) ).

cnf(refute_2_207,plain,
    ( e22 != e22
    | e22 = op2(h4(e10),h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),e22) )],[refute_2_205,refute_2_206]) ).

cnf(refute_2_208,plain,
    ( e22 != e22
    | h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    inference(resolve,[$cnf( $equal(e22,op2(h4(e10),h4(e12))) )],[refute_2_207,refute_2_137]) ).

cnf(refute_2_209,plain,
    e22 != e22,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_2_208,refute_2_0]) ).

cnf(refute_2_210,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_2_211,plain,
    $false,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_210,refute_2_209]) ).

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,
    ( 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_1,plain,
    ( h1(e10) = op2(e20,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_3_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_3_1]) ).

fof(normalize_3_3,plain,
    ( h2(e10) = op2(e21,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),e21)
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_3_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_3_3]) ).

fof(normalize_3_5,plain,
    ( h3(e10) = op2(e22,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22)
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_3_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_3_5]) ).

fof(normalize_3_7,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_0,normalize_3_2,normalize_3_4,normalize_3_6]) ).

fof(normalize_3_8,plain,
    h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
    inference(conjunct,[],[normalize_3_7]) ).

fof(normalize_3_9,plain,
    ( h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_3_10,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_3_9]) ).

fof(normalize_3_11,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_12,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_3_11]) ).

fof(normalize_3_13,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_14,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_3_13]) ).

fof(normalize_3_15,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_3_16,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_17,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_3_13]) ).

fof(normalize_3_18,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_19,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(conjunct,[],[normalize_3_13]) ).

fof(normalize_3_20,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_21,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_22,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_3_21]) ).

fof(normalize_3_23,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_24,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_3_23]) ).

fof(normalize_3_25,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_3_26,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_27,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(conjunct,[],[normalize_3_23]) ).

fof(normalize_3_28,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_29,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(conjunct,[],[normalize_3_23]) ).

fof(normalize_3_30,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_31,plain,
    h4(e10) = op2(e23,e23),
    inference(conjunct,[],[normalize_3_9]) ).

cnf(refute_3_0,plain,
    h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
    inference(canonicalize,[],[normalize_3_8]) ).

cnf(refute_3_1,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_3_10]) ).

cnf(refute_3_2,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_3_12]) ).

cnf(refute_3_3,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_3_14]) ).

cnf(refute_3_4,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_3_16]) ).

cnf(refute_3_5,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_3_6,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_3_7,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_3_5,refute_3_6]) ).

cnf(refute_3_8,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_3_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_3_9,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_3_4,refute_3_8]) ).

cnf(refute_3_10,plain,
    ( op1(e10,e13) != e10
    | op1(e13,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_3_11,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_9,refute_3_10]) ).

cnf(refute_3_12,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_3_11,refute_3_3]) ).

cnf(refute_3_13,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_2,refute_3_12]) ).

cnf(refute_3_14,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_3_17]) ).

cnf(refute_3_15,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_3_18]) ).

cnf(refute_3_16,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_3_17,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_3_18,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_3_16,refute_3_17]) ).

cnf(refute_3_19,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_9,refute_3_18]) ).

cnf(refute_3_20,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_3_21,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_3_22,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_3_20,refute_3_21]) ).

cnf(refute_3_23,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_9,refute_3_22]) ).

cnf(refute_3_24,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_3_25,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_7,refute_3_24]) ).

cnf(refute_3_26,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_3_25:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_3_27,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_3_23,refute_3_26]) ).

cnf(refute_3_28,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_3_19,refute_3_27]) ).

cnf(refute_3_29,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_3_30,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_3_28,refute_3_29]) ).

cnf(refute_3_31,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_3_15,refute_3_30]) ).

cnf(refute_3_32,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_3_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_3_33,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_3_31,refute_3_32]) ).

cnf(refute_3_34,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_3_35,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_3_33,refute_3_34]) ).

cnf(refute_3_36,plain,
    e11 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_3_35,refute_3_14]) ).

cnf(refute_3_37,plain,
    ( op1(e10,e13) != e11
    | e11 = op1(e10,e13) ),
    inference(subst,[],[refute_3_7:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e11))]]) ).

cnf(refute_3_38,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_3_37,refute_3_36]) ).

cnf(refute_3_39,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_3_13,refute_3_38]) ).

cnf(refute_3_40,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(canonicalize,[],[normalize_3_19]) ).

cnf(refute_3_41,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_3_20]) ).

cnf(refute_3_42,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_3_25:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_3_43,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_3_28,refute_3_42]) ).

cnf(refute_3_44,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_3_33,refute_3_43]) ).

cnf(refute_3_45,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_3_46,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_3_47,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_3_45,refute_3_46]) ).

cnf(refute_3_48,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_3_44,refute_3_47]) ).

cnf(refute_3_49,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_3_50,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_3_48,refute_3_49]) ).

cnf(refute_3_51,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_3_41,refute_3_50]) ).

cnf(refute_3_52,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_3_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_3_53,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_3_51,refute_3_52]) ).

cnf(refute_3_54,plain,
    ( op1(e10,e13) != e12
    | op1(e11,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_3_55,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_3_53,refute_3_54]) ).

cnf(refute_3_56,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_3_55,refute_3_40]) ).

cnf(refute_3_57,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_3_39,refute_3_56]) ).

cnf(refute_3_58,plain,
    h4(op1(e10,e13)) = h4(op1(e10,e13)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e13)))]]) ).

cnf(refute_3_59,plain,
    ( h4(op1(e10,e13)) != h4(op1(e10,e13))
    | op1(e10,e13) != e13
    | h4(op1(e10,e13)) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) ),[1,0],$fot(e13)]]) ).

cnf(refute_3_60,plain,
    ( op1(e10,e13) != e13
    | h4(op1(e10,e13)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) )],[refute_3_58,refute_3_59]) ).

cnf(refute_3_61,plain,
    h4(op1(e10,e13)) = h4(e13),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_57,refute_3_60]) ).

cnf(refute_3_62,plain,
    ( h4(e13) != e23
    | h4(op1(e10,e13)) != h4(e13)
    | h4(op1(e10,e13)) = e23 ),
    inference(subst,[],[refute_3_25:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_3_63,plain,
    ( h4(e13) != e23
    | h4(op1(e10,e13)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(e13)) )],[refute_3_61,refute_3_62]) ).

cnf(refute_3_64,plain,
    h4(op1(e10,e13)) = e23,
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_1,refute_3_63]) ).

cnf(refute_3_65,plain,
    ( e23 != op2(h4(e10),h4(e13))
    | h4(op1(e10,e13)) != e23
    | h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),e23) ),[1],$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_3_66,plain,
    ( e23 != op2(h4(e10),h4(e13))
    | h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_3_64,refute_3_65]) ).

cnf(refute_3_67,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_3_22]) ).

cnf(refute_3_68,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_3_24]) ).

cnf(refute_3_69,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_3_26]) ).

cnf(refute_3_70,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_3_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_3_71,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_3_69,refute_3_70]) ).

cnf(refute_3_72,plain,
    ( op2(e20,e23) != e20
    | op2(e23,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_3_73,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_71,refute_3_72]) ).

cnf(refute_3_74,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_3_73,refute_3_68]) ).

cnf(refute_3_75,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_3_67,refute_3_74]) ).

cnf(refute_3_76,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(canonicalize,[],[normalize_3_27]) ).

cnf(refute_3_77,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_3_28]) ).

cnf(refute_3_78,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_3_79,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_3_80,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_3_78,refute_3_79]) ).

cnf(refute_3_81,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_71,refute_3_80]) ).

cnf(refute_3_82,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_3_83,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_3_84,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_82,refute_3_83]) ).

cnf(refute_3_85,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_71,refute_3_84]) ).

cnf(refute_3_86,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_3_25:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_3_87,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_3_85,refute_3_86]) ).

cnf(refute_3_88,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_3_81,refute_3_87]) ).

cnf(refute_3_89,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_3_90,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_3_88,refute_3_89]) ).

cnf(refute_3_91,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_77,refute_3_90]) ).

cnf(refute_3_92,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_3_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_3_93,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_3_91,refute_3_92]) ).

cnf(refute_3_94,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_3_95,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_3_93,refute_3_94]) ).

cnf(refute_3_96,plain,
    e21 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_3_95,refute_3_76]) ).

cnf(refute_3_97,plain,
    ( op2(e20,e23) != e21
    | e21 = op2(e20,e23) ),
    inference(subst,[],[refute_3_7:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e21))]]) ).

cnf(refute_3_98,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_3_97,refute_3_96]) ).

cnf(refute_3_99,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_3_75,refute_3_98]) ).

cnf(refute_3_100,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(canonicalize,[],[normalize_3_29]) ).

cnf(refute_3_101,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_3_30]) ).

cnf(refute_3_102,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_3_25:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_3_103,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_3_88,refute_3_102]) ).

cnf(refute_3_104,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_3_93,refute_3_103]) ).

cnf(refute_3_105,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_3_106,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_3_107,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_3_105,refute_3_106]) ).

cnf(refute_3_108,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_3_104,refute_3_107]) ).

cnf(refute_3_109,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_3_110,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_3_108,refute_3_109]) ).

cnf(refute_3_111,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_3_101,refute_3_110]) ).

cnf(refute_3_112,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_3_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_3_113,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_3_111,refute_3_112]) ).

cnf(refute_3_114,plain,
    ( op2(e20,e23) != e22
    | op2(e21,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_3_115,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_3_113,refute_3_114]) ).

cnf(refute_3_116,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_3_115,refute_3_100]) ).

cnf(refute_3_117,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_3_99,refute_3_116]) ).

cnf(refute_3_118,plain,
    op2(e20,h4(e13)) = op2(e20,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).

cnf(refute_3_119,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_120,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_118,refute_3_119]) ).

cnf(refute_3_121,plain,
    op2(e20,h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_1,refute_3_120]) ).

cnf(refute_3_122,plain,
    h4(e10) = op2(e23,e23),
    inference(canonicalize,[],[normalize_3_31]) ).

cnf(refute_3_123,plain,
    ( h4(e10) != op2(e23,e23)
    | op2(e23,e23) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_3_124,plain,
    ( h4(e10) != op2(e23,e23)
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_71,refute_3_123]) ).

cnf(refute_3_125,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e23)) )],[refute_3_122,refute_3_124]) ).

cnf(refute_3_126,plain,
    op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).

cnf(refute_3_127,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_128,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_126,refute_3_127]) ).

cnf(refute_3_129,plain,
    op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_125,refute_3_128]) ).

cnf(refute_3_130,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_25:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).

cnf(refute_3_131,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_129,refute_3_130]) ).

cnf(refute_3_132,plain,
    op2(h4(e10),h4(e13)) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_3_121,refute_3_131]) ).

cnf(refute_3_133,plain,
    ( op2(e20,e23) != e23
    | op2(h4(e10),h4(e13)) != op2(e20,e23)
    | op2(h4(e10),h4(e13)) = e23 ),
    inference(subst,[],[refute_3_25:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e23))]]) ).

cnf(refute_3_134,plain,
    ( op2(e20,e23) != e23
    | op2(h4(e10),h4(e13)) = e23 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_3_132,refute_3_133]) ).

cnf(refute_3_135,plain,
    op2(h4(e10),h4(e13)) = e23,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_117,refute_3_134]) ).

cnf(refute_3_136,plain,
    ( e23 != e23
    | op2(h4(e10),h4(e13)) != e23
    | e23 = op2(h4(e10),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h4(e10),h4(e13))) ),[1],$fot(e23)]]) ).

cnf(refute_3_137,plain,
    ( e23 != e23
    | e23 = op2(h4(e10),h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),e23) )],[refute_3_135,refute_3_136]) ).

cnf(refute_3_138,plain,
    ( e23 != e23
    | h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
    inference(resolve,[$cnf( $equal(e23,op2(h4(e10),h4(e13))) )],[refute_3_137,refute_3_66]) ).

cnf(refute_3_139,plain,
    e23 != e23,
    inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_3_138,refute_3_0]) ).

cnf(refute_3_140,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_3_141,plain,
    $false,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_140,refute_3_139]) ).

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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,
    h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20),
    inference(conjunct,[],[normalize_4_1]) ).

fof(normalize_4_10,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(conjunct,[],[normalize_4_1]) ).

fof(normalize_4_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_4_12,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_4_11]) ).

fof(normalize_4_13,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_4_11]) ).

fof(normalize_4_14,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_15,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(conjunct,[],[normalize_4_14]) ).

fof(normalize_4_16,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_4_17,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(conjunct,[],[normalize_4_16]) ).

fof(normalize_4_18,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_19,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(conjunct,[],[normalize_4_18]) ).

fof(normalize_4_20,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(conjunct,[],[normalize_4_18]) ).

fof(normalize_4_21,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_4_11]) ).

fof(normalize_4_22,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e23) = e21 ),
    inference(conjunct,[],[normalize_4_16]) ).

fof(normalize_4_23,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_4_24,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_4_23]) ).

fof(normalize_4_25,plain,
    ( h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_4_26,plain,
    h4(e10) = op2(e23,e23),
    inference(conjunct,[],[normalize_4_25]) ).

fof(normalize_4_27,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_4_25]) ).

fof(normalize_4_28,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23 ),
    inference(conjunct,[],[normalize_4_14]) ).

fof(normalize_4_29,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(conjunct,[],[normalize_4_18]) ).

fof(normalize_4_30,plain,
    op2(e21,e20) != op2(e23,e20),
    inference(conjunct,[],[normalize_4_18]) ).

fof(normalize_4_31,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(conjunct,[],[normalize_4_16]) ).

fof(normalize_4_32,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_33,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    inference(conjunct,[],[normalize_4_32]) ).

fof(normalize_4_34,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_35,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(conjunct,[],[normalize_4_34]) ).

fof(normalize_4_36,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_4_37,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_4_36]) ).

fof(normalize_4_38,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_4_36]) ).

fof(normalize_4_39,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(conjunct,[],[normalize_4_34]) ).

fof(normalize_4_40,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_4_36]) ).

fof(normalize_4_41,plain,
    op1(e11,e10) != op1(e13,e10),
    inference(conjunct,[],[normalize_4_34]) ).

fof(normalize_4_42,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_4_43,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(conjunct,[],[normalize_4_42]) ).

cnf(refute_4_0,plain,
    h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
    inference(canonicalize,[],[normalize_4_8]) ).

cnf(refute_4_1,plain,
    h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20),
    inference(canonicalize,[],[normalize_4_9]) ).

cnf(refute_4_2,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(canonicalize,[],[normalize_4_10]) ).

cnf(refute_4_3,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_4_12]) ).

cnf(refute_4_4,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_4_13]) ).

cnf(refute_4_5,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_4_6,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_4_7,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_4_5,refute_4_6]) ).

cnf(refute_4_8,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_4_9,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_4_4,refute_4_8]) ).

cnf(refute_4_10,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_4_11,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_4_12,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_4_10,refute_4_11]) ).

cnf(refute_4_13,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_9,refute_4_12]) ).

cnf(refute_4_14,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_4_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_4_16,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_14,refute_4_15]) ).

cnf(refute_4_17,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_9,refute_4_16]) ).

cnf(refute_4_18,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_4_19,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_7,refute_4_18]) ).

cnf(refute_4_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_4_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_4_21,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_4_17,refute_4_20]) ).

cnf(refute_4_22,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_4_13,refute_4_21]) ).

cnf(refute_4_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_4_24,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_4_22,refute_4_23]) ).

cnf(refute_4_25,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_3,refute_4_24]) ).

cnf(refute_4_26,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_4_27,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_4_25,refute_4_26]) ).

cnf(refute_4_28,plain,
    op2(e21,op2(e20,e20)) = op2(e21,op2(e20,e20)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e20)))]]) ).

cnf(refute_4_29,plain,
    ( op2(e20,e20) != e21
    | op2(e21,op2(e20,e20)) != op2(e21,op2(e20,e20))
    | op2(e21,op2(e20,e20)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,op2(e20,e20))) ),[1,1],$fot(e21)]]) ).

cnf(refute_4_30,plain,
    ( op2(e20,e20) != e21
    | op2(e21,op2(e20,e20)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,op2(e20,e20))) )],[refute_4_28,refute_4_29]) ).

cnf(refute_4_31,plain,
    op2(e21,op2(e20,e20)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_4_27,refute_4_30]) ).

cnf(refute_4_32,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
    introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).

cnf(refute_4_33,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(e21)]]) ).

cnf(refute_4_34,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_4_32,refute_4_33]) ).

cnf(refute_4_35,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_4_27,refute_4_34]) ).

cnf(refute_4_36,plain,
    ( op2(e21,op2(e20,e20)) != op2(e21,e21)
    | op2(op2(e20,e20),op2(e20,e20)) != op2(e21,op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21) ),
    inference(subst,[],[refute_4_19:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(e21,op2(e20,e20)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_4_37,plain,
    ( op2(e21,op2(e20,e20)) != op2(e21,e21)
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(e21,op2(e20,e20))) )],[refute_4_35,refute_4_36]) ).

cnf(refute_4_38,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,e21)) )],[refute_4_31,refute_4_37]) ).

cnf(refute_4_39,plain,
    ( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) != op2(e21,e21)
    | h1(e11) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e21)) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).

cnf(refute_4_40,plain,
    ( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
    | h1(e11) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(e21,e21)) )],[refute_4_38,refute_4_39]) ).

cnf(refute_4_41,plain,
    h1(e11) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_4_2,refute_4_40]) ).

cnf(refute_4_42,plain,
    ( h1(e11) != op2(e21,e21)
    | op2(e21,e21) = h1(e11) ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_4_43,plain,
    op2(e21,e21) = h1(e11),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e21)) )],[refute_4_41,refute_4_42]) ).

cnf(refute_4_44,plain,
    ( op2(e21,e21) != h1(e11)
    | op2(op2(e20,e20),op2(e20,e20)) != op2(e21,e21)
    | op2(op2(e20,e20),op2(e20,e20)) = h1(e11) ),
    inference(subst,[],[refute_4_19:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h1(e11)))]]) ).

cnf(refute_4_45,plain,
    ( op2(e21,e21) != h1(e11)
    | op2(op2(e20,e20),op2(e20,e20)) = h1(e11) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(e21,e21)) )],[refute_4_38,refute_4_44]) ).

cnf(refute_4_46,plain,
    op2(op2(e20,e20),op2(e20,e20)) = h1(e11),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_4_43,refute_4_45]) ).

cnf(refute_4_47,plain,
    op2(op2(op2(e20,e20),op2(e20,e20)),e20) = op2(op2(op2(e20,e20),op2(e20,e20)),e20),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e20,e20),op2(e20,e20)),e20))]]) ).

cnf(refute_4_48,plain,
    ( op2(op2(e20,e20),op2(e20,e20)) != h1(e11)
    | op2(op2(op2(e20,e20),op2(e20,e20)),e20) != op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    | op2(op2(op2(e20,e20),op2(e20,e20)),e20) = op2(h1(e11),e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e20,e20),op2(e20,e20)),e20),op2(op2(op2(e20,e20),op2(e20,e20)),e20)) ),[1,0],$fot(h1(e11))]]) ).

cnf(refute_4_49,plain,
    ( op2(op2(e20,e20),op2(e20,e20)) != h1(e11)
    | op2(op2(op2(e20,e20),op2(e20,e20)),e20) = op2(h1(e11),e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e20,e20),op2(e20,e20)),e20),op2(op2(op2(e20,e20),op2(e20,e20)),e20)) )],[refute_4_47,refute_4_48]) ).

cnf(refute_4_50,plain,
    op2(op2(op2(e20,e20),op2(e20,e20)),e20) = op2(h1(e11),e20),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),h1(e11)) )],[refute_4_46,refute_4_49]) ).

cnf(refute_4_51,plain,
    ( h1(e12) != op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    | op2(op2(op2(e20,e20),op2(e20,e20)),e20) != op2(h1(e11),e20)
    | h1(e12) = op2(h1(e11),e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),op2(h1(e11),e20)) ),[0],$fot(op2(op2(op2(e20,e20),op2(e20,e20)),e20))]]) ).

cnf(refute_4_52,plain,
    ( h1(e12) != op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    | h1(e12) = op2(h1(e11),e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e20,e20),op2(e20,e20)),e20),op2(h1(e11),e20)) )],[refute_4_50,refute_4_51]) ).

cnf(refute_4_53,plain,
    h1(e12) = op2(h1(e11),e20),
    inference(resolve,[$cnf( $equal(h1(e12),op2(op2(op2(e20,e20),op2(e20,e20)),e20)) )],[refute_4_1,refute_4_52]) ).

cnf(refute_4_54,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(canonicalize,[],[normalize_4_15]) ).

cnf(refute_4_55,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h1(e11))]]) ).

cnf(refute_4_56,plain,
    ( op2(e21,e21) != e20
    | h1(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_4_43,refute_4_55]) ).

cnf(refute_4_57,plain,
    ( h1(e11) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_54,refute_4_56]) ).

cnf(refute_4_58,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h1(e11))]]) ).

cnf(refute_4_59,plain,
    ( op2(e21,e21) != e21
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_4_43,refute_4_58]) ).

cnf(refute_4_60,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_4_57,refute_4_59]) ).

cnf(refute_4_61,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h1(e11))]]) ).

cnf(refute_4_62,plain,
    ( op2(e21,e21) != e22
    | h1(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_4_43,refute_4_61]) ).

cnf(refute_4_63,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_4_60,refute_4_62]) ).

cnf(refute_4_64,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h1(e11))]]) ).

cnf(refute_4_65,plain,
    ( op2(e21,e21) != e23
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_4_43,refute_4_64]) ).

cnf(refute_4_66,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_63,refute_4_65]) ).

cnf(refute_4_67,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(canonicalize,[],[normalize_4_17]) ).

cnf(refute_4_68,plain,
    ( h1(e11) != e20
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_4_69,plain,
    ( h1(e11) != e20
    | op2(e21,e21) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_4_43,refute_4_68]) ).

cnf(refute_4_70,plain,
    ( h1(e11) != e20
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_69,refute_4_67]) ).

cnf(refute_4_71,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(canonicalize,[],[normalize_4_19]) ).

cnf(refute_4_72,plain,
    ( e21 != op2(e21,e20)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_4_73,plain,
    ( e21 != op2(e21,e20)
    | op2(e20,e20) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_4_27,refute_4_72]) ).

cnf(refute_4_74,plain,
    e21 != op2(e21,e20),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_4_73,refute_4_71]) ).

cnf(refute_4_75,plain,
    ( op2(e21,e20) != e21
    | e21 = op2(e21,e20) ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(op2(e21,e20))),bind(Y,$fot(e21))]]) ).

cnf(refute_4_76,plain,
    op2(e21,e20) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_4_75,refute_4_74]) ).

cnf(refute_4_77,plain,
    h1(e11) != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_70,refute_4_76]) ).

cnf(refute_4_78,plain,
    ( h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_66,refute_4_77]) ).

cnf(refute_4_79,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(canonicalize,[],[normalize_4_20]) ).

cnf(refute_4_80,plain,
    ( h1(e11) != op2(e21,e23)
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(op2(e21,e23))]]) ).

cnf(refute_4_81,plain,
    ( h1(e11) != op2(e21,e23)
    | op2(e21,e21) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_4_43,refute_4_80]) ).

cnf(refute_4_82,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_4_21]) ).

cnf(refute_4_83,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_4_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_4_84,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_4_22,refute_4_83]) ).

cnf(refute_4_85,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_4_27,refute_4_84]) ).

cnf(refute_4_86,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_4_87,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_4_88,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_4_86,refute_4_87]) ).

cnf(refute_4_89,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_4_85,refute_4_88]) ).

cnf(refute_4_90,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_4_91,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_4_89,refute_4_90]) ).

cnf(refute_4_92,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_4_82,refute_4_91]) ).

cnf(refute_4_93,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_4_94,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_4_92,refute_4_93]) ).

cnf(refute_4_95,plain,
    ( h1(e11) != e22
    | op2(e21,e23) != e22
    | h1(e11) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_4_96,plain,
    ( h1(e11) != e22
    | h1(e11) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_4_94,refute_4_95]) ).

cnf(refute_4_97,plain,
    ( h1(e11) != e22
    | op2(e21,e21) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e23)) )],[refute_4_96,refute_4_81]) ).

cnf(refute_4_98,plain,
    h1(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_4_97,refute_4_79]) ).

cnf(refute_4_99,plain,
    ( h1(e11) = e21
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_78,refute_4_98]) ).

cnf(refute_4_100,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e23) = e21 ),
    inference(canonicalize,[],[normalize_4_22]) ).

cnf(refute_4_101,plain,
    ( h1(e11) != e23
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_4_102,plain,
    ( h1(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_4_43,refute_4_101]) ).

cnf(refute_4_103,plain,
    ( h1(e11) != e23
    | op2(e21,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_102,refute_4_100]) ).

cnf(refute_4_104,plain,
    ( op2(e21,e23) != e21
    | op2(e21,e23) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e22)]]) ).

cnf(refute_4_105,plain,
    ( op2(e21,e23) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_4_94,refute_4_104]) ).

cnf(refute_4_106,plain,
    ( h1(e11) != e23
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_4_103,refute_4_105]) ).

cnf(refute_4_107,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_4_24]) ).

cnf(refute_4_108,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_4_109,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_108,refute_4_107]) ).

cnf(refute_4_110,plain,
    h1(e11) != e23,
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_106,refute_4_109]) ).

cnf(refute_4_111,plain,
    h1(e11) = e21,
    inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_99,refute_4_110]) ).

cnf(refute_4_112,plain,
    op2(h1(e11),e20) = op2(h1(e11),e20),
    introduced(tautology,[refl,[$fot(op2(h1(e11),e20))]]) ).

cnf(refute_4_113,plain,
    ( h1(e11) != e21
    | op2(h1(e11),e20) != op2(h1(e11),e20)
    | op2(h1(e11),e20) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e20),op2(h1(e11),e20)) ),[1,0],$fot(e21)]]) ).

cnf(refute_4_114,plain,
    ( h1(e11) != e21
    | op2(h1(e11),e20) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(h1(e11),e20),op2(h1(e11),e20)) )],[refute_4_112,refute_4_113]) ).

cnf(refute_4_115,plain,
    op2(h1(e11),e20) = op2(e21,e20),
    inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_111,refute_4_114]) ).

cnf(refute_4_116,plain,
    ( h1(e12) != op2(h1(e11),e20)
    | op2(h1(e11),e20) != op2(e21,e20)
    | h1(e12) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),op2(e21,e20)) ),[0],$fot(op2(h1(e11),e20))]]) ).

cnf(refute_4_117,plain,
    ( h1(e12) != op2(h1(e11),e20)
    | h1(e12) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(h1(e11),e20),op2(e21,e20)) )],[refute_4_115,refute_4_116]) ).

cnf(refute_4_118,plain,
    h1(e12) = op2(e21,e20),
    inference(resolve,[$cnf( $equal(h1(e12),op2(h1(e11),e20)) )],[refute_4_53,refute_4_117]) ).

cnf(refute_4_119,plain,
    ( h1(e12) != op2(e21,e20)
    | op2(e21,e20) = h1(e12) ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e21,e20)))]]) ).

cnf(refute_4_120,plain,
    op2(e21,e20) = h1(e12),
    inference(resolve,[$cnf( $equal(h1(e12),op2(e21,e20)) )],[refute_4_118,refute_4_119]) ).

cnf(refute_4_121,plain,
    h4(e10) = op2(e23,e23),
    inference(canonicalize,[],[normalize_4_26]) ).

cnf(refute_4_122,plain,
    ( h4(e10) != op2(e23,e23)
    | op2(e23,e23) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_4_123,plain,
    ( h4(e10) != op2(e23,e23)
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_9,refute_4_122]) ).

cnf(refute_4_124,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e23)) )],[refute_4_121,refute_4_123]) ).

cnf(refute_4_125,plain,
    op2(e21,h4(e10)) = op2(e21,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).

cnf(refute_4_126,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_127,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_125,refute_4_126]) ).

cnf(refute_4_128,plain,
    op2(e21,h4(e10)) = op2(e21,e20),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_124,refute_4_127]) ).

cnf(refute_4_129,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_4_27]) ).

cnf(refute_4_130,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_4_131,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_4_85,refute_4_130]) ).

cnf(refute_4_132,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_129,refute_4_131]) ).

cnf(refute_4_133,plain,
    op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).

cnf(refute_4_134,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_135,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_133,refute_4_134]) ).

cnf(refute_4_136,plain,
    op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_132,refute_4_135]) ).

cnf(refute_4_137,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_19:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).

cnf(refute_4_138,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_136,refute_4_137]) ).

cnf(refute_4_139,plain,
    op2(h4(e11),h4(e10)) = op2(e21,e20),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_4_128,refute_4_138]) ).

cnf(refute_4_140,plain,
    ( op2(e21,e20) != h1(e12)
    | op2(h4(e11),h4(e10)) != op2(e21,e20)
    | op2(h4(e11),h4(e10)) = h1(e12) ),
    inference(subst,[],[refute_4_19:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h1(e12)))]]) ).

cnf(refute_4_141,plain,
    ( op2(e21,e20) != h1(e12)
    | op2(h4(e11),h4(e10)) = h1(e12) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_4_139,refute_4_140]) ).

cnf(refute_4_142,plain,
    op2(h4(e11),h4(e10)) = h1(e12),
    inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e12)) )],[refute_4_120,refute_4_141]) ).

cnf(refute_4_143,plain,
    ( h4(op1(e11,e10)) != h1(e12)
    | op2(h4(e11),h4(e10)) != h1(e12)
    | 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(h1(e12))]]) ).

cnf(refute_4_144,plain,
    ( h4(op1(e11,e10)) != h1(e12)
    | h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),h1(e12)) )],[refute_4_142,refute_4_143]) ).

cnf(refute_4_145,plain,
    h4(op1(e11,e10)) != h1(e12),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_4_144,refute_4_0]) ).

cnf(refute_4_146,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23 ),
    inference(canonicalize,[],[normalize_4_28]) ).

cnf(refute_4_147,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_146,refute_4_76]) ).

cnf(refute_4_148,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(canonicalize,[],[normalize_4_29]) ).

cnf(refute_4_149,plain,
    ( op2(e21,e20) != e22
    | op2(e21,e23) != e22
    | op2(e21,e20) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_4_150,plain,
    ( op2(e21,e20) != e22
    | op2(e21,e20) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_4_94,refute_4_149]) ).

cnf(refute_4_151,plain,
    op2(e21,e20) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_4_150,refute_4_148]) ).

cnf(refute_4_152,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_4_147,refute_4_151]) ).

cnf(refute_4_153,plain,
    ( op2(e21,e20) != e20
    | op2(e21,e20) != h1(e12)
    | h1(e12) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(h1(e12))]]) ).

cnf(refute_4_154,plain,
    ( op2(e21,e20) != e20
    | h1(e12) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e12)) )],[refute_4_120,refute_4_153]) ).

cnf(refute_4_155,plain,
    ( h1(e12) = e20
    | op2(e21,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_4_152,refute_4_154]) ).

cnf(refute_4_156,plain,
    ( op2(e21,e20) != e23
    | op2(e21,e20) != h1(e12)
    | h1(e12) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(h1(e12))]]) ).

cnf(refute_4_157,plain,
    ( op2(e21,e20) != e23
    | h1(e12) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e12)) )],[refute_4_120,refute_4_156]) ).

cnf(refute_4_158,plain,
    ( h1(e12) = e20
    | h1(e12) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_4_155,refute_4_157]) ).

cnf(refute_4_159,plain,
    op2(e21,e20) != op2(e23,e20),
    inference(canonicalize,[],[normalize_4_30]) ).

cnf(refute_4_160,plain,
    ( h1(e12) != op2(e23,e20)
    | op2(e21,e20) != h1(e12)
    | op2(e21,e20) = op2(e23,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),h1(e12)) ),[1],$fot(op2(e23,e20))]]) ).

cnf(refute_4_161,plain,
    ( h1(e12) != op2(e23,e20)
    | op2(e21,e20) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e12)) )],[refute_4_120,refute_4_160]) ).

cnf(refute_4_162,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(canonicalize,[],[normalize_4_31]) ).

cnf(refute_4_163,plain,
    ( e20 != e20
    | op2(e23,e23) != e20
    | op2(e23,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[1],$fot(e20)]]) ).

cnf(refute_4_164,plain,
    ( e20 != e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_9,refute_4_163]) ).

cnf(refute_4_165,plain,
    ( e20 != e20
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_164,refute_4_162]) ).

cnf(refute_4_166,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_4_167,plain,
    op2(e23,e20) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_166,refute_4_165]) ).

cnf(refute_4_168,plain,
    ( h1(e12) != e23
    | op2(e23,e20) != e23
    | h1(e12) = op2(e23,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),op2(e23,e20)) ),[1],$fot(e23)]]) ).

cnf(refute_4_169,plain,
    ( h1(e12) != e23
    | h1(e12) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_167,refute_4_168]) ).

cnf(refute_4_170,plain,
    ( h1(e12) != e23
    | op2(e21,e20) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(h1(e12),op2(e23,e20)) )],[refute_4_169,refute_4_161]) ).

cnf(refute_4_171,plain,
    h1(e12) != e23,
    inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_4_170,refute_4_159]) ).

cnf(refute_4_172,plain,
    h1(e12) = e20,
    inference(resolve,[$cnf( $equal(h1(e12),e23) )],[refute_4_158,refute_4_171]) ).

cnf(refute_4_173,plain,
    ( h1(e12) != e20
    | h4(op1(e11,e10)) != e20
    | h4(op1(e11,e10)) = h1(e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),h1(e12)) ),[1],$fot(e20)]]) ).

cnf(refute_4_174,plain,
    ( h4(op1(e11,e10)) != e20
    | h4(op1(e11,e10)) = h1(e12) ),
    inference(resolve,[$cnf( $equal(h1(e12),e20) )],[refute_4_172,refute_4_173]) ).

cnf(refute_4_175,plain,
    h4(op1(e11,e10)) != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h1(e12)) )],[refute_4_174,refute_4_145]) ).

cnf(refute_4_176,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    inference(canonicalize,[],[normalize_4_33]) ).

cnf(refute_4_177,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(canonicalize,[],[normalize_4_35]) ).

cnf(refute_4_178,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_4_37]) ).

cnf(refute_4_179,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_4_38]) ).

cnf(refute_4_180,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_4_181,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_4_179,refute_4_180]) ).

cnf(refute_4_182,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_4_183,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_4_184,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_4_182,refute_4_183]) ).

cnf(refute_4_185,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_181,refute_4_184]) ).

cnf(refute_4_186,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_4_187,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_4_188,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_4_186,refute_4_187]) ).

cnf(refute_4_189,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_181,refute_4_188]) ).

cnf(refute_4_190,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_4_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_4_191,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_4_189,refute_4_190]) ).

cnf(refute_4_192,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_4_185,refute_4_191]) ).

cnf(refute_4_193,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_4_194,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_4_192,refute_4_193]) ).

cnf(refute_4_195,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_4_178,refute_4_194]) ).

cnf(refute_4_196,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_4_197,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_4_195,refute_4_196]) ).

cnf(refute_4_198,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_199,plain,
    ( e11 != op1(e11,e10)
    | op1(e10,e10) = op1(e11,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_4_197,refute_4_198]) ).

cnf(refute_4_200,plain,
    e11 != op1(e11,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_4_199,refute_4_177]) ).

cnf(refute_4_201,plain,
    ( op1(e11,e10) != e11
    | e11 = op1(e11,e10) ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(op1(e11,e10))),bind(Y,$fot(e11))]]) ).

cnf(refute_4_202,plain,
    op1(e11,e10) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e11,e10)) )],[refute_4_201,refute_4_200]) ).

cnf(refute_4_203,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_4_176,refute_4_202]) ).

cnf(refute_4_204,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(canonicalize,[],[normalize_4_39]) ).

cnf(refute_4_205,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_4_40]) ).

cnf(refute_4_206,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_4_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_4_207,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_4_192,refute_4_206]) ).

cnf(refute_4_208,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_4_197,refute_4_207]) ).

cnf(refute_4_209,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_4_210,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_4_211,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_4_209,refute_4_210]) ).

cnf(refute_4_212,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_4_208,refute_4_211]) ).

cnf(refute_4_213,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_4_214,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_4_212,refute_4_213]) ).

cnf(refute_4_215,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_4_205,refute_4_214]) ).

cnf(refute_4_216,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_4_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_4_217,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_4_215,refute_4_216]) ).

cnf(refute_4_218,plain,
    ( op1(e11,e10) != e12
    | op1(e11,e13) != e12
    | op1(e11,e10) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_4_219,plain,
    ( op1(e11,e10) != e12
    | op1(e11,e10) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_4_217,refute_4_218]) ).

cnf(refute_4_220,plain,
    op1(e11,e10) != e12,
    inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_4_219,refute_4_204]) ).

cnf(refute_4_221,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_4_203,refute_4_220]) ).

cnf(refute_4_222,plain,
    op1(e11,e10) != op1(e13,e10),
    inference(canonicalize,[],[normalize_4_41]) ).

cnf(refute_4_223,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(canonicalize,[],[normalize_4_43]) ).

cnf(refute_4_224,plain,
    ( e10 != e10
    | op1(e13,e13) != e10
    | op1(e13,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[1],$fot(e10)]]) ).

cnf(refute_4_225,plain,
    ( e10 != e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_181,refute_4_224]) ).

cnf(refute_4_226,plain,
    ( e10 != e10
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_225,refute_4_223]) ).

cnf(refute_4_227,plain,
    e10 = e10,
    introduced(tautology,[refl,[$fot(e10)]]) ).

cnf(refute_4_228,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(e10,e10) )],[refute_4_227,refute_4_226]) ).

cnf(refute_4_229,plain,
    ( op1(e11,e10) != e13
    | op1(e13,e10) != e13
    | op1(e11,e10) = op1(e13,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e13,e10)) ),[1],$fot(e13)]]) ).

cnf(refute_4_230,plain,
    ( op1(e11,e10) != e13
    | op1(e11,e10) = op1(e13,e10) ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_4_228,refute_4_229]) ).

cnf(refute_4_231,plain,
    op1(e11,e10) != e13,
    inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e13,e10)) )],[refute_4_230,refute_4_222]) ).

cnf(refute_4_232,plain,
    op1(e11,e10) = e10,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_4_221,refute_4_231]) ).

cnf(refute_4_233,plain,
    h4(op1(e11,e10)) = h4(op1(e11,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e10)))]]) ).

cnf(refute_4_234,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_235,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_233,refute_4_234]) ).

cnf(refute_4_236,plain,
    h4(op1(e11,e10)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_4_232,refute_4_235]) ).

cnf(refute_4_237,plain,
    ( h4(e10) != e20
    | h4(op1(e11,e10)) != h4(e10)
    | h4(op1(e11,e10)) = e20 ),
    inference(subst,[],[refute_4_19:[bind(X,$fot(h4(op1(e11,e10)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_4_238,plain,
    ( h4(e10) != e20
    | h4(op1(e11,e10)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e10)) )],[refute_4_236,refute_4_237]) ).

cnf(refute_4_239,plain,
    h4(op1(e11,e10)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_124,refute_4_238]) ).

cnf(refute_4_240,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_241,plain,
    ( e20 != e20
    | h4(op1(e11,e10)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e20) )],[refute_4_239,refute_4_240]) ).

cnf(refute_4_242,plain,
    e20 != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e20) )],[refute_4_241,refute_4_175]) ).

cnf(refute_4_243,plain,
    $false,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_166,refute_4_242]) ).

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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_5_10,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_5_9]) ).

fof(normalize_5_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_5_12,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_5_11]) ).

fof(normalize_5_13,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_5_11]) ).

fof(normalize_5_14,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_15,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    inference(conjunct,[],[normalize_5_14]) ).

fof(normalize_5_16,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_5_17,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e10) = e11 ),
    inference(conjunct,[],[normalize_5_16]) ).

fof(normalize_5_18,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_19,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(conjunct,[],[normalize_5_18]) ).

fof(normalize_5_20,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_5_21,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_22,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_23,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(conjunct,[],[normalize_5_18]) ).

fof(normalize_5_24,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_25,plain,
    ( op1(e11,e11) != e13
    | op1(e11,e13) = e11 ),
    inference(conjunct,[],[normalize_5_16]) ).

fof(normalize_5_26,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_5_27,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_5_26]) ).

fof(normalize_5_28,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(conjunct,[],[normalize_5_1]) ).

fof(normalize_5_29,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_30,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(conjunct,[],[normalize_5_29]) ).

fof(normalize_5_31,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_5_32,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(conjunct,[],[normalize_5_31]) ).

fof(normalize_5_33,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_34,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(conjunct,[],[normalize_5_33]) ).

fof(normalize_5_35,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(conjunct,[],[normalize_5_33]) ).

fof(normalize_5_36,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_5_11]) ).

fof(normalize_5_37,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e23) = e21 ),
    inference(conjunct,[],[normalize_5_31]) ).

fof(normalize_5_38,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_5_39,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_5_38]) ).

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(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_5_10]) ).

cnf(refute_5_2,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_5_12]) ).

cnf(refute_5_3,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_5_13]) ).

cnf(refute_5_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_5_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_5_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_5_4,refute_5_5]) ).

cnf(refute_5_7,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_5_8,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_5_3,refute_5_7]) ).

cnf(refute_5_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_5_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_5_11,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_5_9,refute_5_10]) ).

cnf(refute_5_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_8,refute_5_11]) ).

cnf(refute_5_13,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_5_14,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_5_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_13,refute_5_14]) ).

cnf(refute_5_16,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_8,refute_5_15]) ).

cnf(refute_5_17,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_5_18,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_6,refute_5_17]) ).

cnf(refute_5_19,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_5_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_5_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_5_16,refute_5_19]) ).

cnf(refute_5_21,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_5_12,refute_5_20]) ).

cnf(refute_5_22,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_5_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_5_21,refute_5_22]) ).

cnf(refute_5_24,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_2,refute_5_23]) ).

cnf(refute_5_25,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_5_26,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_5_24,refute_5_25]) ).

cnf(refute_5_27,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_5_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_5_28,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_5_21,refute_5_27]) ).

cnf(refute_5_29,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_5_26,refute_5_28]) ).

cnf(refute_5_30,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_5_31,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_5_29,refute_5_30]) ).

cnf(refute_5_32,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_1,refute_5_31]) ).

cnf(refute_5_33,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    inference(canonicalize,[],[normalize_5_15]) ).

cnf(refute_5_34,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e10) = e11 ),
    inference(canonicalize,[],[normalize_5_17]) ).

cnf(refute_5_35,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(canonicalize,[],[normalize_5_19]) ).

cnf(refute_5_36,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_5_21]) ).

cnf(refute_5_37,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_5_22]) ).

cnf(refute_5_38,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_5_39,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_5_37,refute_5_38]) ).

cnf(refute_5_40,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_5_41,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_5_42,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_5_40,refute_5_41]) ).

cnf(refute_5_43,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_5_39,refute_5_42]) ).

cnf(refute_5_44,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_5_45,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_5_46,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_5_44,refute_5_45]) ).

cnf(refute_5_47,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_5_39,refute_5_46]) ).

cnf(refute_5_48,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_5_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_5_49,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_5_47,refute_5_48]) ).

cnf(refute_5_50,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_5_43,refute_5_49]) ).

cnf(refute_5_51,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_5_52,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_5_50,refute_5_51]) ).

cnf(refute_5_53,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_5_36,refute_5_52]) ).

cnf(refute_5_54,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_5_55,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_5_53,refute_5_54]) ).

cnf(refute_5_56,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_5_57,plain,
    ( e11 != op1(e11,e10)
    | op1(e10,e10) = op1(e11,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_5_55,refute_5_56]) ).

cnf(refute_5_58,plain,
    e11 != op1(e11,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_5_57,refute_5_35]) ).

cnf(refute_5_59,plain,
    ( op1(e11,e10) != e11
    | e11 = op1(e11,e10) ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e11,e10))),bind(Y,$fot(e11))]]) ).

cnf(refute_5_60,plain,
    op1(e11,e10) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e11,e10)) )],[refute_5_59,refute_5_58]) ).

cnf(refute_5_61,plain,
    op1(e11,e11) != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_5_34,refute_5_60]) ).

cnf(refute_5_62,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_5_33,refute_5_61]) ).

cnf(refute_5_63,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(canonicalize,[],[normalize_5_23]) ).

cnf(refute_5_64,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_5_24]) ).

cnf(refute_5_65,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_5_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_5_66,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_5_50,refute_5_65]) ).

cnf(refute_5_67,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_5_55,refute_5_66]) ).

cnf(refute_5_68,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_5_69,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_5_70,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_5_68,refute_5_69]) ).

cnf(refute_5_71,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_5_67,refute_5_70]) ).

cnf(refute_5_72,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_5_73,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_5_71,refute_5_72]) ).

cnf(refute_5_74,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_5_64,refute_5_73]) ).

cnf(refute_5_75,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_5_76,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_5_74,refute_5_75]) ).

cnf(refute_5_77,plain,
    ( op1(e11,e11) != e12
    | op1(e11,e13) != e12
    | op1(e11,e11) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_5_78,plain,
    ( op1(e11,e11) != e12
    | op1(e11,e11) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_5_76,refute_5_77]) ).

cnf(refute_5_79,plain,
    op1(e11,e11) != e12,
    inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_5_78,refute_5_63]) ).

cnf(refute_5_80,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_5_62,refute_5_79]) ).

cnf(refute_5_81,plain,
    ( op1(e11,e11) != e13
    | op1(e11,e13) = e11 ),
    inference(canonicalize,[],[normalize_5_25]) ).

cnf(refute_5_82,plain,
    ( op1(e11,e13) != e11
    | op1(e11,e13) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e11) ),[0],$fot(e12)]]) ).

cnf(refute_5_83,plain,
    ( op1(e11,e13) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_5_76,refute_5_82]) ).

cnf(refute_5_84,plain,
    ( op1(e11,e11) != e13
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_5_81,refute_5_83]) ).

cnf(refute_5_85,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_5_27]) ).

cnf(refute_5_86,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_5_87,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_5_86,refute_5_85]) ).

cnf(refute_5_88,plain,
    op1(e11,e11) != e13,
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_5_84,refute_5_87]) ).

cnf(refute_5_89,plain,
    op1(e11,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_5_80,refute_5_88]) ).

cnf(refute_5_90,plain,
    h4(op1(e11,e11)) = h4(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).

cnf(refute_5_91,plain,
    ( h4(op1(e11,e11)) != h4(op1(e11,e11))
    | op1(e11,e11) != e11
    | h4(op1(e11,e11)) = h4(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e11)]]) ).

cnf(refute_5_92,plain,
    ( op1(e11,e11) != e11
    | h4(op1(e11,e11)) = h4(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_5_90,refute_5_91]) ).

cnf(refute_5_93,plain,
    h4(op1(e11,e11)) = h4(e11),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_5_89,refute_5_92]) ).

cnf(refute_5_94,plain,
    ( h4(e11) != e21
    | h4(op1(e11,e11)) != h4(e11)
    | h4(op1(e11,e11)) = e21 ),
    inference(subst,[],[refute_5_18:[bind(X,$fot(h4(op1(e11,e11)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_5_95,plain,
    ( h4(e11) != e21
    | h4(op1(e11,e11)) = e21 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e11)) )],[refute_5_93,refute_5_94]) ).

cnf(refute_5_96,plain,
    h4(op1(e11,e11)) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_32,refute_5_95]) ).

cnf(refute_5_97,plain,
    ( e21 != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) != e21
    | h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e21) ),[1],$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_5_98,plain,
    ( e21 != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e21) )],[refute_5_96,refute_5_97]) ).

cnf(refute_5_99,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(canonicalize,[],[normalize_5_28]) ).

cnf(refute_5_100,plain,
    op2(e21,op2(e20,e20)) = op2(e21,op2(e20,e20)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e20)))]]) ).

cnf(refute_5_101,plain,
    ( op2(e20,e20) != e21
    | op2(e21,op2(e20,e20)) != op2(e21,op2(e20,e20))
    | op2(e21,op2(e20,e20)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,op2(e20,e20))) ),[1,1],$fot(e21)]]) ).

cnf(refute_5_102,plain,
    ( op2(e20,e20) != e21
    | op2(e21,op2(e20,e20)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,op2(e20,e20))) )],[refute_5_100,refute_5_101]) ).

cnf(refute_5_103,plain,
    op2(e21,op2(e20,e20)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_5_26,refute_5_102]) ).

cnf(refute_5_104,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
    introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).

cnf(refute_5_105,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(e21)]]) ).

cnf(refute_5_106,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_5_104,refute_5_105]) ).

cnf(refute_5_107,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_5_26,refute_5_106]) ).

cnf(refute_5_108,plain,
    ( op2(e21,op2(e20,e20)) != op2(e21,e21)
    | op2(op2(e20,e20),op2(e20,e20)) != op2(e21,op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21) ),
    inference(subst,[],[refute_5_18:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(e21,op2(e20,e20)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_5_109,plain,
    ( op2(e21,op2(e20,e20)) != op2(e21,e21)
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(e21,op2(e20,e20))) )],[refute_5_107,refute_5_108]) ).

cnf(refute_5_110,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,e21)) )],[refute_5_103,refute_5_109]) ).

cnf(refute_5_111,plain,
    ( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) != op2(e21,e21)
    | h1(e11) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e21)) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).

cnf(refute_5_112,plain,
    ( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
    | h1(e11) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(e21,e21)) )],[refute_5_110,refute_5_111]) ).

cnf(refute_5_113,plain,
    h1(e11) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_5_99,refute_5_112]) ).

cnf(refute_5_114,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(canonicalize,[],[normalize_5_30]) ).

cnf(refute_5_115,plain,
    ( h1(e11) != op2(e21,e21)
    | op2(e21,e21) = h1(e11) ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_5_116,plain,
    op2(e21,e21) = h1(e11),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e21)) )],[refute_5_113,refute_5_115]) ).

cnf(refute_5_117,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h1(e11))]]) ).

cnf(refute_5_118,plain,
    ( op2(e21,e21) != e20
    | h1(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_5_116,refute_5_117]) ).

cnf(refute_5_119,plain,
    ( h1(e11) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_114,refute_5_118]) ).

cnf(refute_5_120,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h1(e11))]]) ).

cnf(refute_5_121,plain,
    ( op2(e21,e21) != e21
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_5_116,refute_5_120]) ).

cnf(refute_5_122,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_5_119,refute_5_121]) ).

cnf(refute_5_123,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h1(e11))]]) ).

cnf(refute_5_124,plain,
    ( op2(e21,e21) != e22
    | h1(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_5_116,refute_5_123]) ).

cnf(refute_5_125,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_5_122,refute_5_124]) ).

cnf(refute_5_126,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h1(e11))]]) ).

cnf(refute_5_127,plain,
    ( op2(e21,e21) != e23
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_5_116,refute_5_126]) ).

cnf(refute_5_128,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_5_125,refute_5_127]) ).

cnf(refute_5_129,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(canonicalize,[],[normalize_5_32]) ).

cnf(refute_5_130,plain,
    ( h1(e11) != e20
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_5_131,plain,
    ( h1(e11) != e20
    | op2(e21,e21) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_5_116,refute_5_130]) ).

cnf(refute_5_132,plain,
    ( h1(e11) != e20
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_131,refute_5_129]) ).

cnf(refute_5_133,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(canonicalize,[],[normalize_5_34]) ).

cnf(refute_5_134,plain,
    ( e21 != op2(e21,e20)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_5_135,plain,
    ( e21 != op2(e21,e20)
    | op2(e20,e20) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_5_26,refute_5_134]) ).

cnf(refute_5_136,plain,
    e21 != op2(e21,e20),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_5_135,refute_5_133]) ).

cnf(refute_5_137,plain,
    ( op2(e21,e20) != e21
    | e21 = op2(e21,e20) ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(op2(e21,e20))),bind(Y,$fot(e21))]]) ).

cnf(refute_5_138,plain,
    op2(e21,e20) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_5_137,refute_5_136]) ).

cnf(refute_5_139,plain,
    h1(e11) != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_5_132,refute_5_138]) ).

cnf(refute_5_140,plain,
    ( h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_5_128,refute_5_139]) ).

cnf(refute_5_141,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(canonicalize,[],[normalize_5_35]) ).

cnf(refute_5_142,plain,
    ( h1(e11) != op2(e21,e23)
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(op2(e21,e23))]]) ).

cnf(refute_5_143,plain,
    ( h1(e11) != op2(e21,e23)
    | op2(e21,e21) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_5_116,refute_5_142]) ).

cnf(refute_5_144,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_5_36]) ).

cnf(refute_5_145,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_5_146,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_5_147,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_5_145,refute_5_146]) ).

cnf(refute_5_148,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_5_29,refute_5_147]) ).

cnf(refute_5_149,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_5_150,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_5_148,refute_5_149]) ).

cnf(refute_5_151,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_5_144,refute_5_150]) ).

cnf(refute_5_152,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_5_153,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_5_151,refute_5_152]) ).

cnf(refute_5_154,plain,
    ( h1(e11) != e22
    | op2(e21,e23) != e22
    | h1(e11) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_5_155,plain,
    ( h1(e11) != e22
    | h1(e11) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_5_153,refute_5_154]) ).

cnf(refute_5_156,plain,
    ( h1(e11) != e22
    | op2(e21,e21) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e23)) )],[refute_5_155,refute_5_143]) ).

cnf(refute_5_157,plain,
    h1(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_5_156,refute_5_141]) ).

cnf(refute_5_158,plain,
    ( h1(e11) = e21
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_5_140,refute_5_157]) ).

cnf(refute_5_159,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e23) = e21 ),
    inference(canonicalize,[],[normalize_5_37]) ).

cnf(refute_5_160,plain,
    ( h1(e11) != e23
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_5_161,plain,
    ( h1(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_5_116,refute_5_160]) ).

cnf(refute_5_162,plain,
    ( h1(e11) != e23
    | op2(e21,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_5_161,refute_5_159]) ).

cnf(refute_5_163,plain,
    ( op2(e21,e23) != e21
    | op2(e21,e23) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e22)]]) ).

cnf(refute_5_164,plain,
    ( op2(e21,e23) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_5_153,refute_5_163]) ).

cnf(refute_5_165,plain,
    ( h1(e11) != e23
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_5_162,refute_5_164]) ).

cnf(refute_5_166,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_5_39]) ).

cnf(refute_5_167,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_5_168,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_5_167,refute_5_166]) ).

cnf(refute_5_169,plain,
    h1(e11) != e23,
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_5_165,refute_5_168]) ).

cnf(refute_5_170,plain,
    h1(e11) = e21,
    inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_5_158,refute_5_169]) ).

cnf(refute_5_171,plain,
    ( h1(e11) != e21
    | h1(e11) != op2(e21,e21)
    | e21 = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e21,e21)) ),[0],$fot(e21)]]) ).

cnf(refute_5_172,plain,
    ( h1(e11) != op2(e21,e21)
    | e21 = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_5_170,refute_5_171]) ).

cnf(refute_5_173,plain,
    e21 = op2(e21,e21),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e21)) )],[refute_5_113,refute_5_172]) ).

cnf(refute_5_174,plain,
    ( e21 != op2(e21,e21)
    | op2(e21,e21) = e21 ),
    inference(subst,[],[refute_5_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_5_175,plain,
    op2(e21,e21) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e21,e21)) )],[refute_5_173,refute_5_174]) ).

cnf(refute_5_176,plain,
    op2(e21,h4(e11)) = op2(e21,h4(e11)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).

cnf(refute_5_177,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_178,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_176,refute_5_177]) ).

cnf(refute_5_179,plain,
    op2(e21,h4(e11)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_32,refute_5_178]) ).

cnf(refute_5_180,plain,
    op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_5_181,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_182,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_180,refute_5_181]) ).

cnf(refute_5_183,plain,
    op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_32,refute_5_182]) ).

cnf(refute_5_184,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_18:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_5_185,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_183,refute_5_184]) ).

cnf(refute_5_186,plain,
    op2(h4(e11),h4(e11)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_5_179,refute_5_185]) ).

cnf(refute_5_187,plain,
    ( op2(e21,e21) != e21
    | op2(h4(e11),h4(e11)) != op2(e21,e21)
    | op2(h4(e11),h4(e11)) = e21 ),
    inference(subst,[],[refute_5_18:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e21))]]) ).

cnf(refute_5_188,plain,
    ( op2(e21,e21) != e21
    | op2(h4(e11),h4(e11)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_5_186,refute_5_187]) ).

cnf(refute_5_189,plain,
    op2(h4(e11),h4(e11)) = e21,
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_5_175,refute_5_188]) ).

cnf(refute_5_190,plain,
    ( e21 != e21
    | op2(h4(e11),h4(e11)) != e21
    | e21 = op2(h4(e11),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e11),h4(e11))) ),[1],$fot(e21)]]) ).

cnf(refute_5_191,plain,
    ( e21 != e21
    | e21 = op2(h4(e11),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),e21) )],[refute_5_189,refute_5_190]) ).

cnf(refute_5_192,plain,
    ( e21 != e21
    | h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    inference(resolve,[$cnf( $equal(e21,op2(h4(e11),h4(e11))) )],[refute_5_191,refute_5_98]) ).

cnf(refute_5_193,plain,
    e21 != e21,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_5_192,refute_5_0]) ).

cnf(refute_5_194,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_5_195,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_194,refute_5_193]) ).

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,
    ( ( 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_1,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(conjunct,[],[normalize_6_0]) ).

fof(normalize_6_2,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(conjunct,[],[normalize_6_0]) ).

fof(normalize_6_3,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_6_4,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_6_3]) ).

fof(normalize_6_5,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_6_3]) ).

fof(normalize_6_6,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_6_7,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(conjunct,[],[normalize_6_6]) ).

fof(normalize_6_8,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_9,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_6_8]) ).

fof(normalize_6_10,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_11,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_6_10]) ).

fof(normalize_6_12,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(conjunct,[],[normalize_6_10]) ).

fof(normalize_6_13,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(conjunct,[],[normalize_6_10]) ).

fof(normalize_6_14,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_6_3]) ).

fof(normalize_6_15,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_6_10]) ).

fof(normalize_6_16,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_6_17,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_6_16]) ).

fof(normalize_6_18,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_6_16]) ).

fof(normalize_6_19,plain,
    ( h3(e10) = op2(e22,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22)
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_6_20,plain,
    h3(e10) = op2(e22,e22),
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_21,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e23) = e22 ),
    inference(conjunct,[],[normalize_6_6]) ).

fof(normalize_6_22,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(conjunct,[],[normalize_6_10]) ).

fof(normalize_6_23,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_24,plain,
    ( h1(e10) = op2(e20,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_6_25,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_6_24]) ).

fof(normalize_6_26,plain,
    ( h2(e10) = op2(e21,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),e21)
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_6_27,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_6_26]) ).

fof(normalize_6_28,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_29,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_23,normalize_6_25,normalize_6_27,normalize_6_28]) ).

fof(normalize_6_30,plain,
    h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
    inference(conjunct,[],[normalize_6_29]) ).

fof(normalize_6_31,plain,
    ( h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_6_32,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_6_31]) ).

fof(normalize_6_33,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_6_31]) ).

fof(normalize_6_34,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_6_31]) ).

fof(normalize_6_35,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_36,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(conjunct,[],[normalize_6_35]) ).

fof(normalize_6_37,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(conjunct,[],[normalize_6_35]) ).

fof(normalize_6_38,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_6_39,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_6_38]) ).

fof(normalize_6_40,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_6_38]) ).

fof(normalize_6_41,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_6_42,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(conjunct,[],[normalize_6_41]) ).

fof(normalize_6_43,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_44,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_6_43]) ).

fof(normalize_6_45,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_46,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_6_45]) ).

fof(normalize_6_47,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_6_45]) ).

fof(normalize_6_48,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(conjunct,[],[normalize_6_45]) ).

fof(normalize_6_49,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_6_38]) ).

fof(normalize_6_50,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_6_45]) ).

fof(normalize_6_51,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_6_52,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_6_51]) ).

fof(normalize_6_53,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_6_51]) ).

fof(normalize_6_54,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(conjunct,[],[normalize_6_41]) ).

fof(normalize_6_55,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(conjunct,[],[normalize_6_45]) ).

fof(normalize_6_56,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(conjunct,[],[normalize_6_45]) ).

fof(normalize_6_57,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(conjunct,[],[normalize_6_41]) ).

fof(normalize_6_58,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(conjunct,[],[normalize_6_10]) ).

fof(normalize_6_59,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(conjunct,[],[normalize_6_6]) ).

cnf(refute_6_0,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(canonicalize,[],[normalize_6_1]) ).

cnf(refute_6_1,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(canonicalize,[],[normalize_6_2]) ).

cnf(refute_6_2,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_6_4]) ).

cnf(refute_6_3,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_6_5]) ).

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,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_6_8,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,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) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_6_11,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    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,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_8,refute_6_11]) ).

cnf(refute_6_13,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_6_14,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_6_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_13,refute_6_14]) ).

cnf(refute_6_16,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_8,refute_6_15]) ).

cnf(refute_6_17,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_6_18,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_6_6,refute_6_17]) ).

cnf(refute_6_19,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_6_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_6_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_6_16,refute_6_19]) ).

cnf(refute_6_21,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_6_12,refute_6_20]) ).

cnf(refute_6_22,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_6_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_6_21,refute_6_22]) ).

cnf(refute_6_24,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_2,refute_6_23]) ).

cnf(refute_6_25,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_6_26,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_6_24,refute_6_25]) ).

cnf(refute_6_27,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(e21)]]) ).

cnf(refute_6_28,plain,
    ( op2(e20,e20) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_26,refute_6_27]) ).

cnf(refute_6_29,plain,
    ( e21 = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_6_1,refute_6_28]) ).

cnf(refute_6_30,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(canonicalize,[],[normalize_6_7]) ).

cnf(refute_6_31,plain,
    ( e21 != e21
    | op2(e20,e20) != e21
    | op2(e20,e20) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(e21)]]) ).

cnf(refute_6_32,plain,
    ( e21 != e21
    | op2(e20,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_26,refute_6_31]) ).

cnf(refute_6_33,plain,
    ( e21 != e21
    | op2(e20,e21) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_32,refute_6_30]) ).

cnf(refute_6_34,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_6_35,plain,
    op2(e20,e21) = e20,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_34,refute_6_33]) ).

cnf(refute_6_36,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(e20)]]) ).

cnf(refute_6_37,plain,
    ( op2(e20,e21) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_6_35,refute_6_36]) ).

cnf(refute_6_38,plain,
    ( e20 = e22
    | e21 = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_6_29,refute_6_37]) ).

cnf(refute_6_39,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_6_9]) ).

cnf(refute_6_40,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_6_11]) ).

cnf(refute_6_41,plain,
    ( op2(e20,e23) != e20
    | op2(e23,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_6_42,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_8,refute_6_41]) ).

cnf(refute_6_43,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_6_42,refute_6_40]) ).

cnf(refute_6_44,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_39,refute_6_43]) ).

cnf(refute_6_45,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(canonicalize,[],[normalize_6_12]) ).

cnf(refute_6_46,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_6_47,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_26,refute_6_46]) ).

cnf(refute_6_48,plain,
    e21 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_6_47,refute_6_45]) ).

cnf(refute_6_49,plain,
    ( op2(e20,e23) != e21
    | e21 = op2(e20,e23) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e21))]]) ).

cnf(refute_6_50,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_6_49,refute_6_48]) ).

cnf(refute_6_51,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_6_44,refute_6_50]) ).

cnf(refute_6_52,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(canonicalize,[],[normalize_6_13]) ).

cnf(refute_6_53,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_6_14]) ).

cnf(refute_6_54,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_6_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_6_55,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_6_21,refute_6_54]) ).

cnf(refute_6_56,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_26,refute_6_55]) ).

cnf(refute_6_57,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_6_58,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_6_59,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_6_57,refute_6_58]) ).

cnf(refute_6_60,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_6_56,refute_6_59]) ).

cnf(refute_6_61,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_6_62,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_6_60,refute_6_61]) ).

cnf(refute_6_63,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_6_53,refute_6_62]) ).

cnf(refute_6_64,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_6_65,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_6_63,refute_6_64]) ).

cnf(refute_6_66,plain,
    ( op2(e20,e23) != e22
    | op2(e21,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_6_67,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_65,refute_6_66]) ).

cnf(refute_6_68,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_6_67,refute_6_52]) ).

cnf(refute_6_69,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_51,refute_6_68]) ).

cnf(refute_6_70,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(e23)]]) ).

cnf(refute_6_71,plain,
    ( op2(e20,e23) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_69,refute_6_70]) ).

cnf(refute_6_72,plain,
    ( e20 = e22
    | e21 = e22
    | e23 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_38,refute_6_71]) ).

cnf(refute_6_73,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_6_15]) ).

cnf(refute_6_74,plain,
    ( e22 != op2(e23,e23)
    | op2(e21,e23) != e22
    | op2(e21,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).

cnf(refute_6_75,plain,
    ( e22 != op2(e23,e23)
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_65,refute_6_74]) ).

cnf(refute_6_76,plain,
    ( e22 != e20
    | op2(e23,e23) != e20
    | e22 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_6_77,plain,
    ( e22 != e20
    | e22 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_8,refute_6_76]) ).

cnf(refute_6_78,plain,
    ( e22 != e20
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_6_77,refute_6_75]) ).

cnf(refute_6_79,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_6_78,refute_6_73]) ).

cnf(refute_6_80,plain,
    ( e20 != e22
    | e22 = e20 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(e22))]]) ).

cnf(refute_6_81,plain,
    e20 != e22,
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_6_80,refute_6_79]) ).

cnf(refute_6_82,plain,
    ( e21 = e22
    | e23 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_6_72,refute_6_81]) ).

cnf(refute_6_83,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_6_17]) ).

cnf(refute_6_84,plain,
    ( e23 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_82,refute_6_83]) ).

cnf(refute_6_85,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_6_18]) ).

cnf(refute_6_86,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_6_87,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_86,refute_6_85]) ).

cnf(refute_6_88,plain,
    op2(e20,e22) = e22,
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_6_84,refute_6_87]) ).

cnf(refute_6_89,plain,
    ( op2(e20,e22) != e22
    | op2(e20,e22) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[0],$fot(e22)]]) ).

cnf(refute_6_90,plain,
    ( op2(e20,e22) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_6_88,refute_6_89]) ).

cnf(refute_6_91,plain,
    ( e22 = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_6_0,refute_6_90]) ).

cnf(refute_6_92,plain,
    h3(e10) = op2(e22,e22),
    inference(canonicalize,[],[normalize_6_20]) ).

cnf(refute_6_93,plain,
    ( h3(e10) != op2(e22,e22)
    | op2(e22,e22) = h3(e10) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_6_94,plain,
    op2(e22,e22) = h3(e10),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e22)) )],[refute_6_92,refute_6_93]) ).

cnf(refute_6_95,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e22) != h3(e10)
    | h3(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e10))]]) ).

cnf(refute_6_96,plain,
    ( op2(e22,e22) != e23
    | h3(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e10)) )],[refute_6_94,refute_6_95]) ).

cnf(refute_6_97,plain,
    ( e22 = e23
    | h3(e10) = e23
    | op2(e21,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_91,refute_6_96]) ).

cnf(refute_6_98,plain,
    ( h3(e10) = e23
    | op2(e21,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_97,refute_6_85]) ).

cnf(refute_6_99,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e23) = e22 ),
    inference(canonicalize,[],[normalize_6_21]) ).

cnf(refute_6_100,plain,
    ( h3(e10) != e23
    | op2(e22,e22) != h3(e10)
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e10)) ),[1],$fot(e23)]]) ).

cnf(refute_6_101,plain,
    ( h3(e10) != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e10)) )],[refute_6_94,refute_6_100]) ).

cnf(refute_6_102,plain,
    ( h3(e10) != e23
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_101,refute_6_99]) ).

cnf(refute_6_103,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(canonicalize,[],[normalize_6_22]) ).

cnf(refute_6_104,plain,
    ( e22 != op2(e22,e23)
    | op2(e21,e23) != e22
    | op2(e21,e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_6_105,plain,
    ( e22 != op2(e22,e23)
    | op2(e21,e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_65,refute_6_104]) ).

cnf(refute_6_106,plain,
    e22 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_6_105,refute_6_103]) ).

cnf(refute_6_107,plain,
    ( op2(e22,e23) != e22
    | e22 = op2(e22,e23) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_6_108,plain,
    op2(e22,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_6_107,refute_6_106]) ).

cnf(refute_6_109,plain,
    h3(e10) != e23,
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_6_102,refute_6_108]) ).

cnf(refute_6_110,plain,
    ( op2(e21,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e10),e23) )],[refute_6_98,refute_6_109]) ).

cnf(refute_6_111,plain,
    h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
    inference(canonicalize,[],[normalize_6_30]) ).

cnf(refute_6_112,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_6_32]) ).

cnf(refute_6_113,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(subst,[],[refute_6_18:[bind(X,$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_6_114,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_6_60,refute_6_113]) ).

cnf(refute_6_115,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_65,refute_6_114]) ).

cnf(refute_6_116,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_6_117,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),e22) )],[refute_6_115,refute_6_116]) ).

cnf(refute_6_118,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_6_112,refute_6_117]) ).

cnf(refute_6_119,plain,
    op2(e21,h4(e12)) = op2(e21,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).

cnf(refute_6_120,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_121,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_119,refute_6_120]) ).

cnf(refute_6_122,plain,
    op2(e21,h4(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_118,refute_6_121]) ).

cnf(refute_6_123,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_6_33]) ).

cnf(refute_6_124,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_6_125,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_6_56,refute_6_124]) ).

cnf(refute_6_126,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_123,refute_6_125]) ).

cnf(refute_6_127,plain,
    op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).

cnf(refute_6_128,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_129,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_127,refute_6_128]) ).

cnf(refute_6_130,plain,
    op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_126,refute_6_129]) ).

cnf(refute_6_131,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_18:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).

cnf(refute_6_132,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_130,refute_6_131]) ).

cnf(refute_6_133,plain,
    op2(h4(e11),h4(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_6_122,refute_6_132]) ).

cnf(refute_6_134,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_135,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_133,refute_6_134]) ).

cnf(refute_6_136,plain,
    h4(op1(e11,e12)) != op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_6_135,refute_6_111]) ).

cnf(refute_6_137,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_6_34]) ).

cnf(refute_6_138,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(canonicalize,[],[normalize_6_36]) ).

cnf(refute_6_139,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(canonicalize,[],[normalize_6_37]) ).

cnf(refute_6_140,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_6_39]) ).

cnf(refute_6_141,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_6_40]) ).

cnf(refute_6_142,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_6_143,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_6_141,refute_6_142]) ).

cnf(refute_6_144,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_6_145,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_6_146,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_6_144,refute_6_145]) ).

cnf(refute_6_147,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_143,refute_6_146]) ).

cnf(refute_6_148,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_6_149,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_6_150,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_6_148,refute_6_149]) ).

cnf(refute_6_151,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_143,refute_6_150]) ).

cnf(refute_6_152,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_6_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_6_153,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_6_151,refute_6_152]) ).

cnf(refute_6_154,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_6_147,refute_6_153]) ).

cnf(refute_6_155,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_6_156,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_6_154,refute_6_155]) ).

cnf(refute_6_157,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_6_140,refute_6_156]) ).

cnf(refute_6_158,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_6_159,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_6_157,refute_6_158]) ).

cnf(refute_6_160,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e10) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e11)]]) ).

cnf(refute_6_161,plain,
    ( op1(e10,e10) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_159,refute_6_160]) ).

cnf(refute_6_162,plain,
    ( e11 = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_6_139,refute_6_161]) ).

cnf(refute_6_163,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(canonicalize,[],[normalize_6_42]) ).

cnf(refute_6_164,plain,
    ( e11 != e11
    | op1(e10,e10) != e11
    | op1(e10,e10) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).

cnf(refute_6_165,plain,
    ( e11 != e11
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_159,refute_6_164]) ).

cnf(refute_6_166,plain,
    ( e11 != e11
    | op1(e10,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_165,refute_6_163]) ).

cnf(refute_6_167,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_6_168,plain,
    op1(e10,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_167,refute_6_166]) ).

cnf(refute_6_169,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_6_170,plain,
    ( op1(e10,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_168,refute_6_169]) ).

cnf(refute_6_171,plain,
    ( e10 = e12
    | e11 = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_162,refute_6_170]) ).

cnf(refute_6_172,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_6_44]) ).

cnf(refute_6_173,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_6_46]) ).

cnf(refute_6_174,plain,
    ( op1(e10,e13) != e10
    | op1(e13,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_6_175,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_143,refute_6_174]) ).

cnf(refute_6_176,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_6_175,refute_6_173]) ).

cnf(refute_6_177,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_6_172,refute_6_176]) ).

cnf(refute_6_178,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_6_47]) ).

cnf(refute_6_179,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_6_180,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_159,refute_6_179]) ).

cnf(refute_6_181,plain,
    e11 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_6_180,refute_6_178]) ).

cnf(refute_6_182,plain,
    ( op1(e10,e13) != e11
    | e11 = op1(e10,e13) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e11))]]) ).

cnf(refute_6_183,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_6_182,refute_6_181]) ).

cnf(refute_6_184,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_6_177,refute_6_183]) ).

cnf(refute_6_185,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(canonicalize,[],[normalize_6_48]) ).

cnf(refute_6_186,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_6_49]) ).

cnf(refute_6_187,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_6_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_6_188,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_6_154,refute_6_187]) ).

cnf(refute_6_189,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_159,refute_6_188]) ).

cnf(refute_6_190,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_6_191,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_6_192,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_6_190,refute_6_191]) ).

cnf(refute_6_193,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_6_189,refute_6_192]) ).

cnf(refute_6_194,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_6_195,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_6_193,refute_6_194]) ).

cnf(refute_6_196,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_6_186,refute_6_195]) ).

cnf(refute_6_197,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_6_198,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_6_196,refute_6_197]) ).

cnf(refute_6_199,plain,
    ( op1(e10,e13) != e12
    | op1(e11,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_6_200,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_6_198,refute_6_199]) ).

cnf(refute_6_201,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_6_200,refute_6_185]) ).

cnf(refute_6_202,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_184,refute_6_201]) ).

cnf(refute_6_203,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) != e13
    | e13 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).

cnf(refute_6_204,plain,
    ( op1(e10,e13) != e12
    | e13 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_202,refute_6_203]) ).

cnf(refute_6_205,plain,
    ( e10 = e12
    | e11 = e12
    | e13 = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_171,refute_6_204]) ).

cnf(refute_6_206,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_6_50]) ).

cnf(refute_6_207,plain,
    ( e12 != op1(e13,e13)
    | op1(e11,e13) != e12
    | op1(e11,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).

cnf(refute_6_208,plain,
    ( e12 != op1(e13,e13)
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_6_198,refute_6_207]) ).

cnf(refute_6_209,plain,
    ( e12 != e10
    | op1(e13,e13) != e10
    | e12 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_6_210,plain,
    ( e12 != e10
    | e12 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_143,refute_6_209]) ).

cnf(refute_6_211,plain,
    ( e12 != e10
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_6_210,refute_6_208]) ).

cnf(refute_6_212,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_6_211,refute_6_206]) ).

cnf(refute_6_213,plain,
    ( e10 != e12
    | e12 = e10 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e10)),bind(Y,$fot(e12))]]) ).

cnf(refute_6_214,plain,
    e10 != e12,
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_6_213,refute_6_212]) ).

cnf(refute_6_215,plain,
    ( e11 = e12
    | e13 = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_6_205,refute_6_214]) ).

cnf(refute_6_216,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_6_52]) ).

cnf(refute_6_217,plain,
    ( e13 = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_6_215,refute_6_216]) ).

cnf(refute_6_218,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_6_53]) ).

cnf(refute_6_219,plain,
    ( e13 != e12
    | e12 = e13 ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).

cnf(refute_6_220,plain,
    e13 != e12,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_6_219,refute_6_218]) ).

cnf(refute_6_221,plain,
    op1(e10,e12) = e12,
    inference(resolve,[$cnf( $equal(e13,e12) )],[refute_6_217,refute_6_220]) ).

cnf(refute_6_222,plain,
    ( op1(e10,e12) != e12
    | op1(e10,e12) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e13) ),[0],$fot(e12)]]) ).

cnf(refute_6_223,plain,
    ( op1(e10,e12) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_221,refute_6_222]) ).

cnf(refute_6_224,plain,
    ( e12 = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_6_138,refute_6_223]) ).

cnf(refute_6_225,plain,
    ( op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_6_224,refute_6_218]) ).

cnf(refute_6_226,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(canonicalize,[],[normalize_6_54]) ).

cnf(refute_6_227,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(canonicalize,[],[normalize_6_55]) ).

cnf(refute_6_228,plain,
    ( e12 != op1(e12,e13)
    | op1(e11,e13) != e12
    | op1(e11,e13) = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).

cnf(refute_6_229,plain,
    ( e12 != op1(e12,e13)
    | op1(e11,e13) = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_6_198,refute_6_228]) ).

cnf(refute_6_230,plain,
    e12 != op1(e12,e13),
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_6_229,refute_6_227]) ).

cnf(refute_6_231,plain,
    ( op1(e12,e13) != e12
    | e12 = op1(e12,e13) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_6_232,plain,
    op1(e12,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_6_231,refute_6_230]) ).

cnf(refute_6_233,plain,
    op1(e12,e12) != e13,
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_6_226,refute_6_232]) ).

cnf(refute_6_234,plain,
    ( op1(e11,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_225,refute_6_233]) ).

cnf(refute_6_235,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(canonicalize,[],[normalize_6_56]) ).

cnf(refute_6_236,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(canonicalize,[],[normalize_6_57]) ).

cnf(refute_6_237,plain,
    ( e10 != e10
    | op1(e13,e13) != e10
    | op1(e13,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[1],$fot(e10)]]) ).

cnf(refute_6_238,plain,
    ( e10 != e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_143,refute_6_237]) ).

cnf(refute_6_239,plain,
    ( e10 != e10
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_238,refute_6_236]) ).

cnf(refute_6_240,plain,
    e10 = e10,
    introduced(tautology,[refl,[$fot(e10)]]) ).

cnf(refute_6_241,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_240,refute_6_239]) ).

cnf(refute_6_242,plain,
    ( e13 != op1(e13,e12)
    | op1(e13,e10) != e13
    | op1(e13,e10) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[1],$fot(op1(e13,e12))]]) ).

cnf(refute_6_243,plain,
    ( e13 != op1(e13,e12)
    | op1(e13,e10) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_6_241,refute_6_242]) ).

cnf(refute_6_244,plain,
    e13 != op1(e13,e12),
    inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_6_243,refute_6_235]) ).

cnf(refute_6_245,plain,
    ( op1(e13,e12) != e13
    | e13 = op1(e13,e12) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).

cnf(refute_6_246,plain,
    op1(e13,e12) != e13,
    inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_6_245,refute_6_244]) ).

cnf(refute_6_247,plain,
    op1(e11,e12) = e13,
    inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_6_234,refute_6_246]) ).

cnf(refute_6_248,plain,
    h4(op1(e11,e12)) = h4(op1(e11,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).

cnf(refute_6_249,plain,
    ( h4(op1(e11,e12)) != h4(op1(e11,e12))
    | op1(e11,e12) != e13
    | h4(op1(e11,e12)) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_6_250,plain,
    ( op1(e11,e12) != e13
    | h4(op1(e11,e12)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_6_248,refute_6_249]) ).

cnf(refute_6_251,plain,
    h4(op1(e11,e12)) = h4(e13),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_247,refute_6_250]) ).

cnf(refute_6_252,plain,
    ( h4(e13) != e23
    | h4(op1(e11,e12)) != h4(e13)
    | h4(op1(e11,e12)) = e23 ),
    inference(subst,[],[refute_6_18:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_6_253,plain,
    ( h4(e13) != e23
    | h4(op1(e11,e12)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e13)) )],[refute_6_251,refute_6_252]) ).

cnf(refute_6_254,plain,
    h4(op1(e11,e12)) = e23,
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_137,refute_6_253]) ).

cnf(refute_6_255,plain,
    ( e23 != op2(e21,e22)
    | h4(op1(e11,e12)) != e23
    | h4(op1(e11,e12)) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e23) ),[1],$fot(op2(e21,e22))]]) ).

cnf(refute_6_256,plain,
    ( e23 != op2(e21,e22)
    | h4(op1(e11,e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_6_254,refute_6_255]) ).

cnf(refute_6_257,plain,
    e23 != op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_6_256,refute_6_136]) ).

cnf(refute_6_258,plain,
    ( op2(e21,e22) != e23
    | e23 = op2(e21,e22) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e23))]]) ).

cnf(refute_6_259,plain,
    op2(e21,e22) != e23,
    inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_6_258,refute_6_257]) ).

cnf(refute_6_260,plain,
    op2(e23,e22) = e23,
    inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_6_110,refute_6_259]) ).

cnf(refute_6_261,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(canonicalize,[],[normalize_6_58]) ).

cnf(refute_6_262,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(canonicalize,[],[normalize_6_59]) ).

cnf(refute_6_263,plain,
    ( e20 != e20
    | op2(e23,e23) != e20
    | op2(e23,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[1],$fot(e20)]]) ).

cnf(refute_6_264,plain,
    ( e20 != e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_8,refute_6_263]) ).

cnf(refute_6_265,plain,
    ( e20 != e20
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_264,refute_6_262]) ).

cnf(refute_6_266,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_6_267,plain,
    op2(e23,e20) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_266,refute_6_265]) ).

cnf(refute_6_268,plain,
    ( e23 != op2(e23,e22)
    | op2(e23,e20) != e23
    | op2(e23,e20) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e22))]]) ).

cnf(refute_6_269,plain,
    ( e23 != op2(e23,e22)
    | op2(e23,e20) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_267,refute_6_268]) ).

cnf(refute_6_270,plain,
    e23 != op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_6_269,refute_6_261]) ).

cnf(refute_6_271,plain,
    ( op2(e23,e22) != e23
    | e23 = op2(e23,e22) ),
    inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).

cnf(refute_6_272,plain,
    op2(e23,e22) != e23,
    inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_6_271,refute_6_270]) ).

cnf(refute_6_273,plain,
    $false,
    inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_6_260,refute_6_272]) ).

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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,
    ( h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_7_10,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_7_9]) ).

fof(normalize_7_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_7_12,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_7_11]) ).

fof(normalize_7_13,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_7_11]) ).

fof(normalize_7_14,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_7_11]) ).

fof(normalize_7_15,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_7_16,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_7_15]) ).

fof(normalize_7_17,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_7_15]) ).

fof(normalize_7_18,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_7_15]) ).

fof(normalize_7_19,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_7_9]) ).

fof(normalize_7_20,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_7_9]) ).

cnf(refute_7_0,plain,
    h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
    inference(canonicalize,[],[normalize_7_8]) ).

cnf(refute_7_1,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_7_10]) ).

cnf(refute_7_2,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_7_12]) ).

cnf(refute_7_3,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_7_13]) ).

cnf(refute_7_4,plain,
    e20 = 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,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_7_9,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,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) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_7_12,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    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,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_7_9,refute_7_12]) ).

cnf(refute_7_14,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_7_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_7_16,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_14,refute_7_15]) ).

cnf(refute_7_17,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_7_9,refute_7_16]) ).

cnf(refute_7_18,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_7_19,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_7,refute_7_18]) ).

cnf(refute_7_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_7_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_7_21,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_7_17,refute_7_20]) ).

cnf(refute_7_22,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_7_13,refute_7_21]) ).

cnf(refute_7_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_7_24,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_7_22,refute_7_23]) ).

cnf(refute_7_25,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_3,refute_7_24]) ).

cnf(refute_7_26,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_7_27,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_7_25,refute_7_26]) ).

cnf(refute_7_28,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_7_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_7_29,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_7_22,refute_7_28]) ).

cnf(refute_7_30,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_7_27,refute_7_29]) ).

cnf(refute_7_31,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_7_32,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_7_33,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_7_31,refute_7_32]) ).

cnf(refute_7_34,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_7_30,refute_7_33]) ).

cnf(refute_7_35,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_7_36,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_7_34,refute_7_35]) ).

cnf(refute_7_37,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_7_2,refute_7_36]) ).

cnf(refute_7_38,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_7_39,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_7_37,refute_7_38]) ).

cnf(refute_7_40,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(subst,[],[refute_7_19:[bind(X,$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_7_41,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_7_34,refute_7_40]) ).

cnf(refute_7_42,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_7_39,refute_7_41]) ).

cnf(refute_7_43,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_7_44,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),e22) )],[refute_7_42,refute_7_43]) ).

cnf(refute_7_45,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_7_1,refute_7_44]) ).

cnf(refute_7_46,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_7_16]) ).

cnf(refute_7_47,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_7_17]) ).

cnf(refute_7_48,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_7_18]) ).

cnf(refute_7_49,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_7_50,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_7_48,refute_7_49]) ).

cnf(refute_7_51,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_7_52,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_7_53,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_7_51,refute_7_52]) ).

cnf(refute_7_54,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_7_50,refute_7_53]) ).

cnf(refute_7_55,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_7_56,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_7_57,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_7_55,refute_7_56]) ).

cnf(refute_7_58,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_7_50,refute_7_57]) ).

cnf(refute_7_59,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_7_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_7_60,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_7_58,refute_7_59]) ).

cnf(refute_7_61,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_7_54,refute_7_60]) ).

cnf(refute_7_62,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_7_63,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_7_61,refute_7_62]) ).

cnf(refute_7_64,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_7_47,refute_7_63]) ).

cnf(refute_7_65,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_7_66,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_7_64,refute_7_65]) ).

cnf(refute_7_67,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_7_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_7_68,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_7_61,refute_7_67]) ).

cnf(refute_7_69,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_7_66,refute_7_68]) ).

cnf(refute_7_70,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_7_71,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_7_72,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_7_70,refute_7_71]) ).

cnf(refute_7_73,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_7_69,refute_7_72]) ).

cnf(refute_7_74,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_7_75,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_7_73,refute_7_74]) ).

cnf(refute_7_76,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_7_46,refute_7_75]) ).

cnf(refute_7_77,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_7_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_7_78,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_7_76,refute_7_77]) ).

cnf(refute_7_79,plain,
    h4(op1(e11,e13)) = h4(op1(e11,e13)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).

cnf(refute_7_80,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_81,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_79,refute_7_80]) ).

cnf(refute_7_82,plain,
    h4(op1(e11,e13)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_7_78,refute_7_81]) ).

cnf(refute_7_83,plain,
    ( h4(e12) != e22
    | h4(op1(e11,e13)) != h4(e12)
    | h4(op1(e11,e13)) = e22 ),
    inference(subst,[],[refute_7_19:[bind(X,$fot(h4(op1(e11,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_7_84,plain,
    ( h4(e12) != e22
    | h4(op1(e11,e13)) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(e12)) )],[refute_7_82,refute_7_83]) ).

cnf(refute_7_85,plain,
    h4(op1(e11,e13)) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_7_45,refute_7_84]) ).

cnf(refute_7_86,plain,
    ( e22 != op2(h4(e11),h4(e13))
    | h4(op1(e11,e13)) != e22
    | h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),e22) ),[1],$fot(op2(h4(e11),h4(e13)))]]) ).

cnf(refute_7_87,plain,
    ( e22 != op2(h4(e11),h4(e13))
    | h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e22) )],[refute_7_85,refute_7_86]) ).

cnf(refute_7_88,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_7_19]) ).

cnf(refute_7_89,plain,
    op2(e21,h4(e13)) = op2(e21,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).

cnf(refute_7_90,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_91,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_89,refute_7_90]) ).

cnf(refute_7_92,plain,
    op2(e21,h4(e13)) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_88,refute_7_91]) ).

cnf(refute_7_93,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_7_20]) ).

cnf(refute_7_94,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_7_95,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_7_30,refute_7_94]) ).

cnf(refute_7_96,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_93,refute_7_95]) ).

cnf(refute_7_97,plain,
    op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).

cnf(refute_7_98,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_99,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_97,refute_7_98]) ).

cnf(refute_7_100,plain,
    op2(h4(e11),h4(e13)) = op2(e21,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_96,refute_7_99]) ).

cnf(refute_7_101,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_19:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).

cnf(refute_7_102,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_100,refute_7_101]) ).

cnf(refute_7_103,plain,
    op2(h4(e11),h4(e13)) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e23)) )],[refute_7_92,refute_7_102]) ).

cnf(refute_7_104,plain,
    ( op2(e21,e23) != e22
    | op2(h4(e11),h4(e13)) != op2(e21,e23)
    | op2(h4(e11),h4(e13)) = e22 ),
    inference(subst,[],[refute_7_19:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_7_105,plain,
    ( op2(e21,e23) != e22
    | op2(h4(e11),h4(e13)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,e23)) )],[refute_7_103,refute_7_104]) ).

cnf(refute_7_106,plain,
    op2(h4(e11),h4(e13)) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_7_39,refute_7_105]) ).

cnf(refute_7_107,plain,
    ( e22 != e22
    | op2(h4(e11),h4(e13)) != e22
    | e22 = op2(h4(e11),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(h4(e11),h4(e13))) ),[1],$fot(e22)]]) ).

cnf(refute_7_108,plain,
    ( e22 != e22
    | e22 = op2(h4(e11),h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),e22) )],[refute_7_106,refute_7_107]) ).

cnf(refute_7_109,plain,
    ( e22 != e22
    | h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
    inference(resolve,[$cnf( $equal(e22,op2(h4(e11),h4(e13))) )],[refute_7_108,refute_7_87]) ).

cnf(refute_7_110,plain,
    e22 != e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_7_109,refute_7_0]) ).

cnf(refute_7_111,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_7_112,plain,
    $false,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_111,refute_7_110]) ).

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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_8_10,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_8_9]) ).

fof(normalize_8_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_8_12,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_8_11]) ).

fof(normalize_8_13,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_8_11]) ).

fof(normalize_8_14,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_8_11]) ).

fof(normalize_8_15,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_16,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(conjunct,[],[normalize_8_15]) ).

fof(normalize_8_17,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_8_18,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_8_17]) ).

fof(normalize_8_19,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_8_17]) ).

fof(normalize_8_20,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_8_21,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(conjunct,[],[normalize_8_20]) ).

fof(normalize_8_22,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_8_23,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_8_22]) ).

fof(normalize_8_24,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_8_22]) ).

fof(normalize_8_25,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_26,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(conjunct,[],[normalize_8_25]) ).

fof(normalize_8_27,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_8_17]) ).

fof(normalize_8_28,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_29,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(conjunct,[],[normalize_8_28]) ).

fof(normalize_8_30,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_8_31,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(conjunct,[],[normalize_8_30]) ).

fof(normalize_8_32,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_8_33,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_8_32]) ).

fof(normalize_8_34,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_8_32]) ).

fof(normalize_8_35,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_36,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(conjunct,[],[normalize_8_35]) ).

fof(normalize_8_37,plain,
    h4(e10) = op2(e23,e23),
    inference(conjunct,[],[normalize_8_9]) ).

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(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_8_10]) ).

cnf(refute_8_2,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_8_12]) ).

cnf(refute_8_3,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_8_13]) ).

cnf(refute_8_4,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_8_14]) ).

cnf(refute_8_5,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_8_6,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_8_7,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_8_5,refute_8_6]) ).

cnf(refute_8_8,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_8_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_8_9,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_8_4,refute_8_8]) ).

cnf(refute_8_10,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_8_11,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_8_12,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_8_10,refute_8_11]) ).

cnf(refute_8_13,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_8_9,refute_8_12]) ).

cnf(refute_8_14,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_8_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_8_16,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_14,refute_8_15]) ).

cnf(refute_8_17,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_8_9,refute_8_16]) ).

cnf(refute_8_18,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_8_19,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_7,refute_8_18]) ).

cnf(refute_8_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_8_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_8_21,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_8_17,refute_8_20]) ).

cnf(refute_8_22,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_8_13,refute_8_21]) ).

cnf(refute_8_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_8_24,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_8_22,refute_8_23]) ).

cnf(refute_8_25,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_3,refute_8_24]) ).

cnf(refute_8_26,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_8_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_8_27,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_8_25,refute_8_26]) ).

cnf(refute_8_28,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_8_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_8_29,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_8_22,refute_8_28]) ).

cnf(refute_8_30,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_8_27,refute_8_29]) ).

cnf(refute_8_31,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_8_32,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_8_33,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_8_31,refute_8_32]) ).

cnf(refute_8_34,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_8_30,refute_8_33]) ).

cnf(refute_8_35,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_8_36,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_8_34,refute_8_35]) ).

cnf(refute_8_37,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_8_2,refute_8_36]) ).

cnf(refute_8_38,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_8_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_8_39,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_8_37,refute_8_38]) ).

cnf(refute_8_40,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(subst,[],[refute_8_19:[bind(X,$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_8_41,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_8_34,refute_8_40]) ).

cnf(refute_8_42,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_8_39,refute_8_41]) ).

cnf(refute_8_43,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_8_44,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),e22) )],[refute_8_42,refute_8_43]) ).

cnf(refute_8_45,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_8_1,refute_8_44]) ).

cnf(refute_8_46,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(canonicalize,[],[normalize_8_16]) ).

cnf(refute_8_47,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_8_18]) ).

cnf(refute_8_48,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_8_19]) ).

cnf(refute_8_49,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_8_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_8_50,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_8_48,refute_8_49]) ).

cnf(refute_8_51,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_8_52,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_8_53,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_8_51,refute_8_52]) ).

cnf(refute_8_54,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_8_50,refute_8_53]) ).

cnf(refute_8_55,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_8_56,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_8_57,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_8_55,refute_8_56]) ).

cnf(refute_8_58,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_8_50,refute_8_57]) ).

cnf(refute_8_59,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_8_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_8_60,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_8_58,refute_8_59]) ).

cnf(refute_8_61,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_8_54,refute_8_60]) ).

cnf(refute_8_62,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_8_63,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_8_61,refute_8_62]) ).

cnf(refute_8_64,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_8_47,refute_8_63]) ).

cnf(refute_8_65,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_8_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_8_66,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_8_64,refute_8_65]) ).

cnf(refute_8_67,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e10) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e11)]]) ).

cnf(refute_8_68,plain,
    ( op1(e10,e10) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_8_66,refute_8_67]) ).

cnf(refute_8_69,plain,
    ( e11 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_8_46,refute_8_68]) ).

cnf(refute_8_70,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(canonicalize,[],[normalize_8_21]) ).

cnf(refute_8_71,plain,
    ( e10 != e10
    | op1(e13,e13) != e10
    | op1(e13,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[1],$fot(e10)]]) ).

cnf(refute_8_72,plain,
    ( e10 != e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_8_50,refute_8_71]) ).

cnf(refute_8_73,plain,
    ( e10 != e10
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_8_72,refute_8_70]) ).

cnf(refute_8_74,plain,
    e10 = e10,
    introduced(tautology,[refl,[$fot(e10)]]) ).

cnf(refute_8_75,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_74,refute_8_73]) ).

cnf(refute_8_76,plain,
    ( op1(e13,e10) != e12
    | op1(e13,e10) != e13
    | e13 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[0],$fot(e13)]]) ).

cnf(refute_8_77,plain,
    ( op1(e13,e10) != e12
    | e13 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_8_75,refute_8_76]) ).

cnf(refute_8_78,plain,
    ( e11 = e12
    | e13 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_8_69,refute_8_77]) ).

cnf(refute_8_79,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_8_23]) ).

cnf(refute_8_80,plain,
    ( e13 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_8_78,refute_8_79]) ).

cnf(refute_8_81,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_8_24]) ).

cnf(refute_8_82,plain,
    ( e13 != e12
    | e12 = e13 ),
    inference(subst,[],[refute_8_7:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).

cnf(refute_8_83,plain,
    e13 != e12,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_8_82,refute_8_81]) ).

cnf(refute_8_84,plain,
    ( op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e12) )],[refute_8_80,refute_8_83]) ).

cnf(refute_8_85,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(canonicalize,[],[normalize_8_26]) ).

cnf(refute_8_86,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_8_27]) ).

cnf(refute_8_87,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_8_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_8_88,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_8_61,refute_8_87]) ).

cnf(refute_8_89,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_8_66,refute_8_88]) ).

cnf(refute_8_90,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_8_91,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_8_92,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_8_90,refute_8_91]) ).

cnf(refute_8_93,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_8_89,refute_8_92]) ).

cnf(refute_8_94,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_8_95,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_8_93,refute_8_94]) ).

cnf(refute_8_96,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_8_86,refute_8_95]) ).

cnf(refute_8_97,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_8_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_8_98,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_8_96,refute_8_97]) ).

cnf(refute_8_99,plain,
    ( op1(e11,e10) != e12
    | op1(e11,e13) != e12
    | op1(e11,e10) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_8_100,plain,
    ( op1(e11,e10) != e12
    | op1(e11,e10) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_8_98,refute_8_99]) ).

cnf(refute_8_101,plain,
    op1(e11,e10) != e12,
    inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_8_100,refute_8_85]) ).

cnf(refute_8_102,plain,
    op1(e12,e10) = e12,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_8_84,refute_8_101]) ).

cnf(refute_8_103,plain,
    h4(op1(e12,e10)) = h4(op1(e12,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e12,e10)))]]) ).

cnf(refute_8_104,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_105,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_103,refute_8_104]) ).

cnf(refute_8_106,plain,
    h4(op1(e12,e10)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_102,refute_8_105]) ).

cnf(refute_8_107,plain,
    ( h4(e12) != e22
    | h4(op1(e12,e10)) != h4(e12)
    | h4(op1(e12,e10)) = e22 ),
    inference(subst,[],[refute_8_19:[bind(X,$fot(h4(op1(e12,e10)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_8_108,plain,
    ( h4(e12) != e22
    | h4(op1(e12,e10)) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h4(e12)) )],[refute_8_106,refute_8_107]) ).

cnf(refute_8_109,plain,
    h4(op1(e12,e10)) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_45,refute_8_108]) ).

cnf(refute_8_110,plain,
    ( e22 != op2(h4(e12),h4(e10))
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),e22) ),[1],$fot(op2(h4(e12),h4(e10)))]]) ).

cnf(refute_8_111,plain,
    ( e22 != op2(h4(e12),h4(e10))
    | h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e22) )],[refute_8_109,refute_8_110]) ).

cnf(refute_8_112,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(canonicalize,[],[normalize_8_29]) ).

cnf(refute_8_113,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(e21)]]) ).

cnf(refute_8_114,plain,
    ( op2(e20,e20) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_8_27,refute_8_113]) ).

cnf(refute_8_115,plain,
    ( e21 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_8_112,refute_8_114]) ).

cnf(refute_8_116,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(canonicalize,[],[normalize_8_31]) ).

cnf(refute_8_117,plain,
    ( e20 != e20
    | op2(e23,e23) != e20
    | op2(e23,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[1],$fot(e20)]]) ).

cnf(refute_8_118,plain,
    ( e20 != e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_8_9,refute_8_117]) ).

cnf(refute_8_119,plain,
    ( e20 != e20
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_8_118,refute_8_116]) ).

cnf(refute_8_120,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_8_121,plain,
    op2(e23,e20) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_8_120,refute_8_119]) ).

cnf(refute_8_122,plain,
    ( op2(e23,e20) != e22
    | op2(e23,e20) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(e23)]]) ).

cnf(refute_8_123,plain,
    ( op2(e23,e20) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_8_121,refute_8_122]) ).

cnf(refute_8_124,plain,
    ( e21 = e22
    | e23 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_8_115,refute_8_123]) ).

cnf(refute_8_125,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_8_33]) ).

cnf(refute_8_126,plain,
    ( e23 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_124,refute_8_125]) ).

cnf(refute_8_127,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_8_34]) ).

cnf(refute_8_128,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_8_7:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_8_129,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_8_128,refute_8_127]) ).

cnf(refute_8_130,plain,
    ( op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_8_126,refute_8_129]) ).

cnf(refute_8_131,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(canonicalize,[],[normalize_8_36]) ).

cnf(refute_8_132,plain,
    ( op2(e21,e20) != e22
    | op2(e21,e23) != e22
    | op2(e21,e20) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_8_133,plain,
    ( op2(e21,e20) != e22
    | op2(e21,e20) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_8_39,refute_8_132]) ).

cnf(refute_8_134,plain,
    op2(e21,e20) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_8_133,refute_8_131]) ).

cnf(refute_8_135,plain,
    op2(e22,e20) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_8_130,refute_8_134]) ).

cnf(refute_8_136,plain,
    h4(e10) = op2(e23,e23),
    inference(canonicalize,[],[normalize_8_37]) ).

cnf(refute_8_137,plain,
    ( h4(e10) != op2(e23,e23)
    | op2(e23,e23) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_8_138,plain,
    ( h4(e10) != op2(e23,e23)
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_8_9,refute_8_137]) ).

cnf(refute_8_139,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e23)) )],[refute_8_136,refute_8_138]) ).

cnf(refute_8_140,plain,
    op2(e22,h4(e10)) = op2(e22,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e22,h4(e10)))]]) ).

cnf(refute_8_141,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_142,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_140,refute_8_141]) ).

cnf(refute_8_143,plain,
    op2(e22,h4(e10)) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_139,refute_8_142]) ).

cnf(refute_8_144,plain,
    op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).

cnf(refute_8_145,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_146,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_144,refute_8_145]) ).

cnf(refute_8_147,plain,
    op2(h4(e12),h4(e10)) = op2(e22,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_45,refute_8_146]) ).

cnf(refute_8_148,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_19:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e22,h4(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).

cnf(refute_8_149,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_147,refute_8_148]) ).

cnf(refute_8_150,plain,
    op2(h4(e12),h4(e10)) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,e20)) )],[refute_8_143,refute_8_149]) ).

cnf(refute_8_151,plain,
    ( op2(e22,e20) != e22
    | op2(h4(e12),h4(e10)) != op2(e22,e20)
    | op2(h4(e12),h4(e10)) = e22 ),
    inference(subst,[],[refute_8_19:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(e22))]]) ).

cnf(refute_8_152,plain,
    ( op2(e22,e20) != e22
    | op2(h4(e12),h4(e10)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,e20)) )],[refute_8_150,refute_8_151]) ).

cnf(refute_8_153,plain,
    op2(h4(e12),h4(e10)) = e22,
    inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_8_135,refute_8_152]) ).

cnf(refute_8_154,plain,
    ( e22 != e22
    | op2(h4(e12),h4(e10)) != e22
    | e22 = op2(h4(e12),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(h4(e12),h4(e10))) ),[1],$fot(e22)]]) ).

cnf(refute_8_155,plain,
    ( e22 != e22
    | e22 = op2(h4(e12),h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),e22) )],[refute_8_153,refute_8_154]) ).

cnf(refute_8_156,plain,
    ( e22 != e22
    | h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
    inference(resolve,[$cnf( $equal(e22,op2(h4(e12),h4(e10))) )],[refute_8_155,refute_8_111]) ).

cnf(refute_8_157,plain,
    e22 != e22,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_8_156,refute_8_0]) ).

cnf(refute_8_158,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_8_159,plain,
    $false,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_158,refute_8_157]) ).

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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_9_10,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_9_9]) ).

fof(normalize_9_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_9_12,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    inference(conjunct,[],[normalize_9_11]) ).

fof(normalize_9_13,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(conjunct,[],[normalize_9_11]) ).

fof(normalize_9_14,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_9_15,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_9_14]) ).

fof(normalize_9_16,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_9_14]) ).

fof(normalize_9_17,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_9_18,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(conjunct,[],[normalize_9_17]) ).

fof(normalize_9_19,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_9_20,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_9_19]) ).

fof(normalize_9_21,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_9_19]) ).

fof(normalize_9_22,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_23,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(conjunct,[],[normalize_9_22]) ).

fof(normalize_9_24,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_9_14]) ).

fof(normalize_9_25,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(conjunct,[],[normalize_9_11]) ).

fof(normalize_9_26,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_27,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_9_26]) ).

fof(normalize_9_28,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_9_22]) ).

fof(normalize_9_29,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_9_22]) ).

fof(normalize_9_30,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(conjunct,[],[normalize_9_22]) ).

fof(normalize_9_31,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_9_19]) ).

fof(normalize_9_32,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_9_19]) ).

fof(normalize_9_33,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(conjunct,[],[normalize_9_17]) ).

fof(normalize_9_34,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(conjunct,[],[normalize_9_22]) ).

fof(normalize_9_35,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_36,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(conjunct,[],[normalize_9_35]) ).

fof(normalize_9_37,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(conjunct,[],[normalize_9_35]) ).

fof(normalize_9_38,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_9_39,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_9_38]) ).

fof(normalize_9_40,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_9_38]) ).

fof(normalize_9_41,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_9_42,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(conjunct,[],[normalize_9_41]) ).

fof(normalize_9_43,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_9_44,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_9_43]) ).

fof(normalize_9_45,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_9_43]) ).

fof(normalize_9_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_9_47,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(conjunct,[],[normalize_9_46]) ).

fof(normalize_9_48,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_9_38]) ).

fof(normalize_9_49,plain,
    h3(e10) = op2(e22,e22),
    inference(conjunct,[],[normalize_9_5]) ).

fof(normalize_9_50,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(conjunct,[],[normalize_9_35]) ).

fof(normalize_9_51,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_52,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_9_51]) ).

fof(normalize_9_53,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_9_46]) ).

fof(normalize_9_54,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(conjunct,[],[normalize_9_46]) ).

fof(normalize_9_55,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(conjunct,[],[normalize_9_46]) ).

fof(normalize_9_56,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_9_43]) ).

fof(normalize_9_57,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_9_43]) ).

fof(normalize_9_58,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e23) = e22 ),
    inference(conjunct,[],[normalize_9_41]) ).

fof(normalize_9_59,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(conjunct,[],[normalize_9_46]) ).

fof(normalize_9_60,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_9_9]) ).

fof(normalize_9_61,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,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(e13) = e23,
    inference(canonicalize,[],[normalize_9_10]) ).

cnf(refute_9_2,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    inference(canonicalize,[],[normalize_9_12]) ).

cnf(refute_9_3,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(canonicalize,[],[normalize_9_13]) ).

cnf(refute_9_4,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_9_15]) ).

cnf(refute_9_5,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_9_16]) ).

cnf(refute_9_6,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_9_7,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_9_8,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_9_6,refute_9_7]) ).

cnf(refute_9_9,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_9_10,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_9_5,refute_9_9]) ).

cnf(refute_9_11,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_9_12,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_9_13,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_9_11,refute_9_12]) ).

cnf(refute_9_14,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_10,refute_9_13]) ).

cnf(refute_9_15,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_9_16,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_9_17,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_9_15,refute_9_16]) ).

cnf(refute_9_18,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_10,refute_9_17]) ).

cnf(refute_9_19,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_9_20,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_8,refute_9_19]) ).

cnf(refute_9_21,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_9_20:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_9_22,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_9_18,refute_9_21]) ).

cnf(refute_9_23,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_9_14,refute_9_22]) ).

cnf(refute_9_24,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_9_25,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_9_23,refute_9_24]) ).

cnf(refute_9_26,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_9_4,refute_9_25]) ).

cnf(refute_9_27,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_9_28,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_9_26,refute_9_27]) ).

cnf(refute_9_29,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e10) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e11)]]) ).

cnf(refute_9_30,plain,
    ( op1(e10,e10) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_9_28,refute_9_29]) ).

cnf(refute_9_31,plain,
    ( e11 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_9_3,refute_9_30]) ).

cnf(refute_9_32,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(canonicalize,[],[normalize_9_18]) ).

cnf(refute_9_33,plain,
    ( e10 != e10
    | op1(e13,e13) != e10
    | op1(e13,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[1],$fot(e10)]]) ).

cnf(refute_9_34,plain,
    ( e10 != e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_10,refute_9_33]) ).

cnf(refute_9_35,plain,
    ( e10 != e10
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_34,refute_9_32]) ).

cnf(refute_9_36,plain,
    e10 = e10,
    introduced(tautology,[refl,[$fot(e10)]]) ).

cnf(refute_9_37,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(e10,e10) )],[refute_9_36,refute_9_35]) ).

cnf(refute_9_38,plain,
    ( op1(e13,e10) != e12
    | op1(e13,e10) != e13
    | e13 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[0],$fot(e13)]]) ).

cnf(refute_9_39,plain,
    ( op1(e13,e10) != e12
    | e13 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_9_37,refute_9_38]) ).

cnf(refute_9_40,plain,
    ( e11 = e12
    | e13 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_9_31,refute_9_39]) ).

cnf(refute_9_41,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_9_20]) ).

cnf(refute_9_42,plain,
    ( e13 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_9_40,refute_9_41]) ).

cnf(refute_9_43,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_9_21]) ).

cnf(refute_9_44,plain,
    ( e13 != e12
    | e12 = e13 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).

cnf(refute_9_45,plain,
    e13 != e12,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_44,refute_9_43]) ).

cnf(refute_9_46,plain,
    ( op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e12) )],[refute_9_42,refute_9_45]) ).

cnf(refute_9_47,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(canonicalize,[],[normalize_9_23]) ).

cnf(refute_9_48,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_9_24]) ).

cnf(refute_9_49,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_9_20:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_9_50,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_9_23,refute_9_49]) ).

cnf(refute_9_51,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_9_28,refute_9_50]) ).

cnf(refute_9_52,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_9_53,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_9_54,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_9_52,refute_9_53]) ).

cnf(refute_9_55,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_9_51,refute_9_54]) ).

cnf(refute_9_56,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_9_57,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_9_55,refute_9_56]) ).

cnf(refute_9_58,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_9_48,refute_9_57]) ).

cnf(refute_9_59,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_9_60,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_9_58,refute_9_59]) ).

cnf(refute_9_61,plain,
    ( op1(e11,e10) != e12
    | op1(e11,e13) != e12
    | op1(e11,e10) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_9_62,plain,
    ( op1(e11,e10) != e12
    | op1(e11,e10) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_9_60,refute_9_61]) ).

cnf(refute_9_63,plain,
    op1(e11,e10) != e12,
    inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_9_62,refute_9_47]) ).

cnf(refute_9_64,plain,
    op1(e12,e10) = e12,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_9_46,refute_9_63]) ).

cnf(refute_9_65,plain,
    ( op1(e12,e10) != e12
    | op1(e12,e10) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e13) ),[0],$fot(e12)]]) ).

cnf(refute_9_66,plain,
    ( op1(e12,e10) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_9_64,refute_9_65]) ).

cnf(refute_9_67,plain,
    ( e12 = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_9_2,refute_9_66]) ).

cnf(refute_9_68,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(canonicalize,[],[normalize_9_25]) ).

cnf(refute_9_69,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_9_27]) ).

cnf(refute_9_70,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_9_28]) ).

cnf(refute_9_71,plain,
    ( op1(e10,e13) != e10
    | op1(e13,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_9_72,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_10,refute_9_71]) ).

cnf(refute_9_73,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_9_72,refute_9_70]) ).

cnf(refute_9_74,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_9_69,refute_9_73]) ).

cnf(refute_9_75,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_9_29]) ).

cnf(refute_9_76,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_9_77,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_9_28,refute_9_76]) ).

cnf(refute_9_78,plain,
    e11 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_9_77,refute_9_75]) ).

cnf(refute_9_79,plain,
    ( op1(e10,e13) != e11
    | e11 = op1(e10,e13) ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e11))]]) ).

cnf(refute_9_80,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_9_79,refute_9_78]) ).

cnf(refute_9_81,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_9_74,refute_9_80]) ).

cnf(refute_9_82,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(canonicalize,[],[normalize_9_30]) ).

cnf(refute_9_83,plain,
    ( op1(e10,e13) != e12
    | op1(e11,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_9_84,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_9_60,refute_9_83]) ).

cnf(refute_9_85,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_9_84,refute_9_82]) ).

cnf(refute_9_86,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_81,refute_9_85]) ).

cnf(refute_9_87,plain,
    ( op1(e10,e13) != e11
    | op1(e10,e13) != e13
    | e13 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[0],$fot(e13)]]) ).

cnf(refute_9_88,plain,
    ( op1(e10,e13) != e11
    | e13 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_86,refute_9_87]) ).

cnf(refute_9_89,plain,
    ( e13 = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_9_68,refute_9_88]) ).

cnf(refute_9_90,plain,
    ( op1(e11,e13) != e11
    | op1(e11,e13) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e11) ),[0],$fot(e12)]]) ).

cnf(refute_9_91,plain,
    ( op1(e11,e13) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_9_60,refute_9_90]) ).

cnf(refute_9_92,plain,
    ( e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_9_89,refute_9_91]) ).

cnf(refute_9_93,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e10)]]) ).

cnf(refute_9_94,plain,
    ( op1(e13,e13) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_10,refute_9_93]) ).

cnf(refute_9_95,plain,
    ( e10 = e11
    | e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_92,refute_9_94]) ).

cnf(refute_9_96,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_9_31]) ).

cnf(refute_9_97,plain,
    ( e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_9_95,refute_9_96]) ).

cnf(refute_9_98,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_9_99,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_9_98,refute_9_41]) ).

cnf(refute_9_100,plain,
    ( e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_9_97,refute_9_99]) ).

cnf(refute_9_101,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_9_32]) ).

cnf(refute_9_102,plain,
    ( e13 != e11
    | e11 = e13 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).

cnf(refute_9_103,plain,
    e13 != e11,
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_102,refute_9_101]) ).

cnf(refute_9_104,plain,
    op1(e12,e13) = e11,
    inference(resolve,[$cnf( $equal(e13,e11) )],[refute_9_100,refute_9_103]) ).

cnf(refute_9_105,plain,
    ( op1(e12,e13) != e11
    | op1(e12,e13) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e13) ),[0],$fot(e11)]]) ).

cnf(refute_9_106,plain,
    ( op1(e12,e13) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_104,refute_9_105]) ).

cnf(refute_9_107,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_9_67,refute_9_106]) ).

cnf(refute_9_108,plain,
    ( e12 = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_107,refute_9_101]) ).

cnf(refute_9_109,plain,
    ( op1(e12,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_108,refute_9_43]) ).

cnf(refute_9_110,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(canonicalize,[],[normalize_9_33]) ).

cnf(refute_9_111,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(canonicalize,[],[normalize_9_34]) ).

cnf(refute_9_112,plain,
    ( e12 != op1(e12,e13)
    | op1(e11,e13) != e12
    | op1(e11,e13) = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).

cnf(refute_9_113,plain,
    ( e12 != op1(e12,e13)
    | op1(e11,e13) = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_9_60,refute_9_112]) ).

cnf(refute_9_114,plain,
    e12 != op1(e12,e13),
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_9_113,refute_9_111]) ).

cnf(refute_9_115,plain,
    ( op1(e12,e13) != e12
    | e12 = op1(e12,e13) ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_9_116,plain,
    op1(e12,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_9_115,refute_9_114]) ).

cnf(refute_9_117,plain,
    op1(e12,e12) != e13,
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_9_110,refute_9_116]) ).

cnf(refute_9_118,plain,
    op1(e12,e11) = e13,
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_109,refute_9_117]) ).

cnf(refute_9_119,plain,
    h4(op1(e12,e11)) = h4(op1(e12,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e12,e11)))]]) ).

cnf(refute_9_120,plain,
    ( h4(op1(e12,e11)) != h4(op1(e12,e11))
    | op1(e12,e11) != e13
    | h4(op1(e12,e11)) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e12,e11))) ),[1,0],$fot(e13)]]) ).

cnf(refute_9_121,plain,
    ( op1(e12,e11) != e13
    | h4(op1(e12,e11)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e12,e11))) )],[refute_9_119,refute_9_120]) ).

cnf(refute_9_122,plain,
    h4(op1(e12,e11)) = h4(e13),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_9_118,refute_9_121]) ).

cnf(refute_9_123,plain,
    ( h4(e13) != e23
    | h4(op1(e12,e11)) != h4(e13)
    | h4(op1(e12,e11)) = e23 ),
    inference(subst,[],[refute_9_20:[bind(X,$fot(h4(op1(e12,e11)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_9_124,plain,
    ( h4(e13) != e23
    | h4(op1(e12,e11)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(e13)) )],[refute_9_122,refute_9_123]) ).

cnf(refute_9_125,plain,
    h4(op1(e12,e11)) = e23,
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_1,refute_9_124]) ).

cnf(refute_9_126,plain,
    ( e23 != op2(h4(e12),h4(e11))
    | h4(op1(e12,e11)) != e23
    | h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),e23) ),[1],$fot(op2(h4(e12),h4(e11)))]]) ).

cnf(refute_9_127,plain,
    ( e23 != op2(h4(e12),h4(e11))
    | h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e23) )],[refute_9_125,refute_9_126]) ).

cnf(refute_9_128,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(canonicalize,[],[normalize_9_36]) ).

cnf(refute_9_129,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(canonicalize,[],[normalize_9_37]) ).

cnf(refute_9_130,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_9_39]) ).

cnf(refute_9_131,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_9_40]) ).

cnf(refute_9_132,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_9_133,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_9_131,refute_9_132]) ).

cnf(refute_9_134,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_9_135,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_9_136,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_9_134,refute_9_135]) ).

cnf(refute_9_137,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_133,refute_9_136]) ).

cnf(refute_9_138,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_9_139,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_9_140,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_138,refute_9_139]) ).

cnf(refute_9_141,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_133,refute_9_140]) ).

cnf(refute_9_142,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_9_20:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_9_143,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_9_141,refute_9_142]) ).

cnf(refute_9_144,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_9_137,refute_9_143]) ).

cnf(refute_9_145,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_9_146,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_9_144,refute_9_145]) ).

cnf(refute_9_147,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_130,refute_9_146]) ).

cnf(refute_9_148,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_9_149,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_9_147,refute_9_148]) ).

cnf(refute_9_150,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(e21)]]) ).

cnf(refute_9_151,plain,
    ( op2(e20,e20) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_9_149,refute_9_150]) ).

cnf(refute_9_152,plain,
    ( e21 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_9_129,refute_9_151]) ).

cnf(refute_9_153,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(canonicalize,[],[normalize_9_42]) ).

cnf(refute_9_154,plain,
    ( e20 != e20
    | op2(e23,e23) != e20
    | op2(e23,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[1],$fot(e20)]]) ).

cnf(refute_9_155,plain,
    ( e20 != e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_133,refute_9_154]) ).

cnf(refute_9_156,plain,
    ( e20 != e20
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_155,refute_9_153]) ).

cnf(refute_9_157,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_9_158,plain,
    op2(e23,e20) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_9_157,refute_9_156]) ).

cnf(refute_9_159,plain,
    ( op2(e23,e20) != e22
    | op2(e23,e20) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(e23)]]) ).

cnf(refute_9_160,plain,
    ( op2(e23,e20) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_9_158,refute_9_159]) ).

cnf(refute_9_161,plain,
    ( e21 = e22
    | e23 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_9_152,refute_9_160]) ).

cnf(refute_9_162,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_9_44]) ).

cnf(refute_9_163,plain,
    ( e23 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_9_161,refute_9_162]) ).

cnf(refute_9_164,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_9_45]) ).

cnf(refute_9_165,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_9_166,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_9_165,refute_9_164]) ).

cnf(refute_9_167,plain,
    ( op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_9_163,refute_9_166]) ).

cnf(refute_9_168,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(canonicalize,[],[normalize_9_47]) ).

cnf(refute_9_169,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_9_48]) ).

cnf(refute_9_170,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_9_20:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_9_171,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_9_144,refute_9_170]) ).

cnf(refute_9_172,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_9_149,refute_9_171]) ).

cnf(refute_9_173,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_9_174,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_9_175,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_9_173,refute_9_174]) ).

cnf(refute_9_176,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_9_172,refute_9_175]) ).

cnf(refute_9_177,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_9_178,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_9_176,refute_9_177]) ).

cnf(refute_9_179,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_9_169,refute_9_178]) ).

cnf(refute_9_180,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_9_181,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_9_179,refute_9_180]) ).

cnf(refute_9_182,plain,
    ( op2(e21,e20) != e22
    | op2(e21,e23) != e22
    | op2(e21,e20) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_9_183,plain,
    ( op2(e21,e20) != e22
    | op2(e21,e20) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_9_181,refute_9_182]) ).

cnf(refute_9_184,plain,
    op2(e21,e20) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_9_183,refute_9_168]) ).

cnf(refute_9_185,plain,
    op2(e22,e20) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_9_167,refute_9_184]) ).

cnf(refute_9_186,plain,
    ( op2(e22,e20) != e22
    | op2(e22,e20) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e23) ),[0],$fot(e22)]]) ).

cnf(refute_9_187,plain,
    ( op2(e22,e20) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_9_185,refute_9_186]) ).

cnf(refute_9_188,plain,
    ( e22 = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_9_128,refute_9_187]) ).

cnf(refute_9_189,plain,
    h3(e10) = op2(e22,e22),
    inference(canonicalize,[],[normalize_9_49]) ).

cnf(refute_9_190,plain,
    ( h3(e10) != op2(e22,e22)
    | op2(e22,e22) = h3(e10) ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_9_191,plain,
    op2(e22,e22) = h3(e10),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e22)) )],[refute_9_189,refute_9_190]) ).

cnf(refute_9_192,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e22) != h3(e10)
    | h3(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e10))]]) ).

cnf(refute_9_193,plain,
    ( op2(e22,e22) != e23
    | h3(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e10)) )],[refute_9_191,refute_9_192]) ).

cnf(refute_9_194,plain,
    ( e22 = e23
    | h3(e10) = e23
    | op2(e22,e21) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_188,refute_9_193]) ).

cnf(refute_9_195,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(canonicalize,[],[normalize_9_50]) ).

cnf(refute_9_196,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_9_52]) ).

cnf(refute_9_197,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_9_53]) ).

cnf(refute_9_198,plain,
    ( op2(e20,e23) != e20
    | op2(e23,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_9_199,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_133,refute_9_198]) ).

cnf(refute_9_200,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_9_199,refute_9_197]) ).

cnf(refute_9_201,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_9_196,refute_9_200]) ).

cnf(refute_9_202,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(canonicalize,[],[normalize_9_54]) ).

cnf(refute_9_203,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_9_204,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_9_149,refute_9_203]) ).

cnf(refute_9_205,plain,
    e21 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_9_204,refute_9_202]) ).

cnf(refute_9_206,plain,
    ( op2(e20,e23) != e21
    | e21 = op2(e20,e23) ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e21))]]) ).

cnf(refute_9_207,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_9_206,refute_9_205]) ).

cnf(refute_9_208,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_9_201,refute_9_207]) ).

cnf(refute_9_209,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(canonicalize,[],[normalize_9_55]) ).

cnf(refute_9_210,plain,
    ( op2(e20,e23) != e22
    | op2(e21,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_9_211,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_9_181,refute_9_210]) ).

cnf(refute_9_212,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_9_211,refute_9_209]) ).

cnf(refute_9_213,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_9_208,refute_9_212]) ).

cnf(refute_9_214,plain,
    ( op2(e20,e23) != e21
    | op2(e20,e23) != e23
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(e23)]]) ).

cnf(refute_9_215,plain,
    ( op2(e20,e23) != e21
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_9_213,refute_9_214]) ).

cnf(refute_9_216,plain,
    ( e23 = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_9_195,refute_9_215]) ).

cnf(refute_9_217,plain,
    ( op2(e21,e23) != e21
    | op2(e21,e23) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e22)]]) ).

cnf(refute_9_218,plain,
    ( op2(e21,e23) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_9_181,refute_9_217]) ).

cnf(refute_9_219,plain,
    ( e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_9_216,refute_9_218]) ).

cnf(refute_9_220,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e20)]]) ).

cnf(refute_9_221,plain,
    ( op2(e23,e23) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_133,refute_9_220]) ).

cnf(refute_9_222,plain,
    ( e20 = e21
    | e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_219,refute_9_221]) ).

cnf(refute_9_223,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_9_56]) ).

cnf(refute_9_224,plain,
    ( e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_9_222,refute_9_223]) ).

cnf(refute_9_225,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_9_226,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_9_225,refute_9_162]) ).

cnf(refute_9_227,plain,
    ( e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_9_224,refute_9_226]) ).

cnf(refute_9_228,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_9_57]) ).

cnf(refute_9_229,plain,
    ( e23 != e21
    | e21 = e23 ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).

cnf(refute_9_230,plain,
    e23 != e21,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_229,refute_9_228]) ).

cnf(refute_9_231,plain,
    op2(e22,e23) = e21,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_9_227,refute_9_230]) ).

cnf(refute_9_232,plain,
    ( op2(e22,e23) != e21
    | op2(e22,e23) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e23) ),[0],$fot(e21)]]) ).

cnf(refute_9_233,plain,
    ( op2(e22,e23) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_9_231,refute_9_232]) ).

cnf(refute_9_234,plain,
    ( e21 = e23
    | e22 = e23
    | h3(e10) = e23
    | op2(e22,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_9_194,refute_9_233]) ).

cnf(refute_9_235,plain,
    ( e22 = e23
    | h3(e10) = e23
    | op2(e22,e21) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_234,refute_9_228]) ).

cnf(refute_9_236,plain,
    ( h3(e10) = e23
    | op2(e22,e21) = e23 ),
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_9_235,refute_9_164]) ).

cnf(refute_9_237,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e23) = e22 ),
    inference(canonicalize,[],[normalize_9_58]) ).

cnf(refute_9_238,plain,
    ( h3(e10) != e23
    | op2(e22,e22) != h3(e10)
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e10)) ),[1],$fot(e23)]]) ).

cnf(refute_9_239,plain,
    ( h3(e10) != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e10)) )],[refute_9_191,refute_9_238]) ).

cnf(refute_9_240,plain,
    ( h3(e10) != e23
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_239,refute_9_237]) ).

cnf(refute_9_241,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(canonicalize,[],[normalize_9_59]) ).

cnf(refute_9_242,plain,
    ( e22 != op2(e22,e23)
    | op2(e21,e23) != e22
    | op2(e21,e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_9_243,plain,
    ( e22 != op2(e22,e23)
    | op2(e21,e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_9_181,refute_9_242]) ).

cnf(refute_9_244,plain,
    e22 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_9_243,refute_9_241]) ).

cnf(refute_9_245,plain,
    ( op2(e22,e23) != e22
    | e22 = op2(e22,e23) ),
    inference(subst,[],[refute_9_8:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_9_246,plain,
    op2(e22,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_9_245,refute_9_244]) ).

cnf(refute_9_247,plain,
    h3(e10) != e23,
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_9_240,refute_9_246]) ).

cnf(refute_9_248,plain,
    op2(e22,e21) = e23,
    inference(resolve,[$cnf( $equal(h3(e10),e23) )],[refute_9_236,refute_9_247]) ).

cnf(refute_9_249,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_9_60]) ).

cnf(refute_9_250,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_9_251,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_9_172,refute_9_250]) ).

cnf(refute_9_252,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_249,refute_9_251]) ).

cnf(refute_9_253,plain,
    op2(e22,h4(e11)) = op2(e22,h4(e11)),
    introduced(tautology,[refl,[$fot(op2(e22,h4(e11)))]]) ).

cnf(refute_9_254,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_255,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_253,refute_9_254]) ).

cnf(refute_9_256,plain,
    op2(e22,h4(e11)) = op2(e22,e21),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_252,refute_9_255]) ).

cnf(refute_9_257,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_9_61]) ).

cnf(refute_9_258,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(subst,[],[refute_9_20:[bind(X,$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_9_259,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_9_176,refute_9_258]) ).

cnf(refute_9_260,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_9_181,refute_9_259]) ).

cnf(refute_9_261,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_9_262,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),e22) )],[refute_9_260,refute_9_261]) ).

cnf(refute_9_263,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_9_257,refute_9_262]) ).

cnf(refute_9_264,plain,
    op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).

cnf(refute_9_265,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_266,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_264,refute_9_265]) ).

cnf(refute_9_267,plain,
    op2(h4(e12),h4(e11)) = op2(e22,h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_263,refute_9_266]) ).

cnf(refute_9_268,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_20:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,h4(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).

cnf(refute_9_269,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_267,refute_9_268]) ).

cnf(refute_9_270,plain,
    op2(h4(e12),h4(e11)) = op2(e22,e21),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,e21)) )],[refute_9_256,refute_9_269]) ).

cnf(refute_9_271,plain,
    ( op2(e22,e21) != e23
    | op2(h4(e12),h4(e11)) != op2(e22,e21)
    | op2(h4(e12),h4(e11)) = e23 ),
    inference(subst,[],[refute_9_20:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(e23))]]) ).

cnf(refute_9_272,plain,
    ( op2(e22,e21) != e23
    | op2(h4(e12),h4(e11)) = e23 ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,e21)) )],[refute_9_270,refute_9_271]) ).

cnf(refute_9_273,plain,
    op2(h4(e12),h4(e11)) = e23,
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_9_248,refute_9_272]) ).

cnf(refute_9_274,plain,
    ( e23 != e23
    | op2(h4(e12),h4(e11)) != e23
    | e23 = op2(h4(e12),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h4(e12),h4(e11))) ),[1],$fot(e23)]]) ).

cnf(refute_9_275,plain,
    ( e23 != e23
    | e23 = op2(h4(e12),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),e23) )],[refute_9_273,refute_9_274]) ).

cnf(refute_9_276,plain,
    ( e23 != e23
    | h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    inference(resolve,[$cnf( $equal(e23,op2(h4(e12),h4(e11))) )],[refute_9_275,refute_9_127]) ).

cnf(refute_9_277,plain,
    e23 != e23,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_9_276,refute_9_0]) ).

cnf(refute_9_278,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_9_279,plain,
    $false,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_278,refute_9_277]) ).

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,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_1,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | op2(e22,e22) = e20
    | op2(e23,e22) = e20 ),
    inference(conjunct,[],[normalize_10_0]) ).

fof(normalize_10_2,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(conjunct,[],[normalize_10_0]) ).

fof(normalize_10_3,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_10_4,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_10_3]) ).

fof(normalize_10_5,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_10_3]) ).

fof(normalize_10_6,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_10_7,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(conjunct,[],[normalize_10_6]) ).

fof(normalize_10_8,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_9,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_10_8]) ).

fof(normalize_10_10,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_11,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_10_10]) ).

fof(normalize_10_12,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(conjunct,[],[normalize_10_10]) ).

fof(normalize_10_13,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(conjunct,[],[normalize_10_10]) ).

fof(normalize_10_14,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_10_3]) ).

fof(normalize_10_15,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_10_10]) ).

fof(normalize_10_16,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_10_17,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_10_16]) ).

fof(normalize_10_18,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_10_16]) ).

fof(normalize_10_19,plain,
    ( h3(e10) = op2(e22,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22)
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_10_20,plain,
    h3(e10) = op2(e22,e22),
    inference(conjunct,[],[normalize_10_19]) ).

fof(normalize_10_21,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(conjunct,[],[normalize_10_10]) ).

fof(normalize_10_22,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_23,plain,
    ( h1(e10) = op2(e20,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_10_24,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_10_23]) ).

fof(normalize_10_25,plain,
    ( h2(e10) = op2(e21,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),e21)
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_10_26,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_10_25]) ).

fof(normalize_10_27,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_10_19]) ).

fof(normalize_10_28,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_22,normalize_10_24,normalize_10_26,normalize_10_27]) ).

fof(normalize_10_29,plain,
    h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
    inference(conjunct,[],[normalize_10_28]) ).

fof(normalize_10_30,plain,
    ( h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_10_31,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_10_30]) ).

fof(normalize_10_32,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_10_30]) ).

fof(normalize_10_33,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_10_30]) ).

fof(normalize_10_34,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_35,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(conjunct,[],[normalize_10_34]) ).

fof(normalize_10_36,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(conjunct,[],[normalize_10_34]) ).

fof(normalize_10_37,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_10_38,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_10_37]) ).

fof(normalize_10_39,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_10_37]) ).

fof(normalize_10_40,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_10_41,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(conjunct,[],[normalize_10_40]) ).

fof(normalize_10_42,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_43,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_10_42]) ).

fof(normalize_10_44,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_45,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_10_44]) ).

fof(normalize_10_46,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_10_44]) ).

fof(normalize_10_47,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(conjunct,[],[normalize_10_44]) ).

fof(normalize_10_48,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_10_37]) ).

fof(normalize_10_49,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_10_44]) ).

fof(normalize_10_50,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_10_51,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_10_50]) ).

fof(normalize_10_52,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_10_50]) ).

fof(normalize_10_53,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(conjunct,[],[normalize_10_40]) ).

fof(normalize_10_54,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(conjunct,[],[normalize_10_44]) ).

fof(normalize_10_55,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(conjunct,[],[normalize_10_44]) ).

fof(normalize_10_56,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(conjunct,[],[normalize_10_40]) ).

fof(normalize_10_57,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_10_16]) ).

fof(normalize_10_58,plain,
    h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
    inference(conjunct,[],[normalize_10_28]) ).

fof(normalize_10_59,plain,
    h4(e10) = op2(e23,e23),
    inference(conjunct,[],[normalize_10_30]) ).

fof(normalize_10_60,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | op1(e12,e12) = e10
    | op1(e13,e12) = e10 ),
    inference(conjunct,[],[normalize_10_34]) ).

fof(normalize_10_61,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(conjunct,[],[normalize_10_44]) ).

cnf(refute_10_0,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | op2(e22,e22) = e20
    | op2(e23,e22) = e20 ),
    inference(canonicalize,[],[normalize_10_1]) ).

cnf(refute_10_1,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(canonicalize,[],[normalize_10_2]) ).

cnf(refute_10_2,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_10_4]) ).

cnf(refute_10_3,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_10_5]) ).

cnf(refute_10_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_10_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_10_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_10_4,refute_10_5]) ).

cnf(refute_10_7,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_10_8,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_10_3,refute_10_7]) ).

cnf(refute_10_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_10_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_10_11,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_10_9,refute_10_10]) ).

cnf(refute_10_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_8,refute_10_11]) ).

cnf(refute_10_13,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_10_14,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_10_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_10_13,refute_10_14]) ).

cnf(refute_10_16,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_8,refute_10_15]) ).

cnf(refute_10_17,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_10_18,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_6,refute_10_17]) ).

cnf(refute_10_19,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_10_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_10_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_10_16,refute_10_19]) ).

cnf(refute_10_21,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_10_12,refute_10_20]) ).

cnf(refute_10_22,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_10_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_10_21,refute_10_22]) ).

cnf(refute_10_24,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_10_2,refute_10_23]) ).

cnf(refute_10_25,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_10_26,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_10_24,refute_10_25]) ).

cnf(refute_10_27,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(e21)]]) ).

cnf(refute_10_28,plain,
    ( op2(e20,e20) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_10_26,refute_10_27]) ).

cnf(refute_10_29,plain,
    ( e21 = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_10_1,refute_10_28]) ).

cnf(refute_10_30,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(canonicalize,[],[normalize_10_7]) ).

cnf(refute_10_31,plain,
    ( e21 != e21
    | op2(e20,e20) != e21
    | op2(e20,e20) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(e21)]]) ).

cnf(refute_10_32,plain,
    ( e21 != e21
    | op2(e20,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_10_26,refute_10_31]) ).

cnf(refute_10_33,plain,
    ( e21 != e21
    | op2(e20,e21) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_10_32,refute_10_30]) ).

cnf(refute_10_34,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_10_35,plain,
    op2(e20,e21) = e20,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_10_34,refute_10_33]) ).

cnf(refute_10_36,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(e20)]]) ).

cnf(refute_10_37,plain,
    ( op2(e20,e21) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_10_35,refute_10_36]) ).

cnf(refute_10_38,plain,
    ( e20 = e22
    | e21 = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_10_29,refute_10_37]) ).

cnf(refute_10_39,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_10_9]) ).

cnf(refute_10_40,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_10_11]) ).

cnf(refute_10_41,plain,
    ( op2(e20,e23) != e20
    | op2(e23,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_10_42,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_8,refute_10_41]) ).

cnf(refute_10_43,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_10_42,refute_10_40]) ).

cnf(refute_10_44,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_10_39,refute_10_43]) ).

cnf(refute_10_45,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(canonicalize,[],[normalize_10_12]) ).

cnf(refute_10_46,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_10_47,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_10_26,refute_10_46]) ).

cnf(refute_10_48,plain,
    e21 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_10_47,refute_10_45]) ).

cnf(refute_10_49,plain,
    ( op2(e20,e23) != e21
    | e21 = op2(e20,e23) ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e21))]]) ).

cnf(refute_10_50,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_10_49,refute_10_48]) ).

cnf(refute_10_51,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_10_44,refute_10_50]) ).

cnf(refute_10_52,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(canonicalize,[],[normalize_10_13]) ).

cnf(refute_10_53,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_10_14]) ).

cnf(refute_10_54,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_10_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_10_55,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_10_21,refute_10_54]) ).

cnf(refute_10_56,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_10_26,refute_10_55]) ).

cnf(refute_10_57,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_10_58,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_10_59,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_10_57,refute_10_58]) ).

cnf(refute_10_60,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_10_56,refute_10_59]) ).

cnf(refute_10_61,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_10_62,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_10_60,refute_10_61]) ).

cnf(refute_10_63,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_10_53,refute_10_62]) ).

cnf(refute_10_64,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_10_65,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_10_63,refute_10_64]) ).

cnf(refute_10_66,plain,
    ( op2(e20,e23) != e22
    | op2(e21,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_10_67,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_10_65,refute_10_66]) ).

cnf(refute_10_68,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_10_67,refute_10_52]) ).

cnf(refute_10_69,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_51,refute_10_68]) ).

cnf(refute_10_70,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(e23)]]) ).

cnf(refute_10_71,plain,
    ( op2(e20,e23) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_10_69,refute_10_70]) ).

cnf(refute_10_72,plain,
    ( e20 = e22
    | e21 = e22
    | e23 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_38,refute_10_71]) ).

cnf(refute_10_73,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_10_15]) ).

cnf(refute_10_74,plain,
    ( e22 != op2(e23,e23)
    | op2(e21,e23) != e22
    | op2(e21,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).

cnf(refute_10_75,plain,
    ( e22 != op2(e23,e23)
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_10_65,refute_10_74]) ).

cnf(refute_10_76,plain,
    ( e22 != e20
    | op2(e23,e23) != e20
    | e22 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_10_77,plain,
    ( e22 != e20
    | e22 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_8,refute_10_76]) ).

cnf(refute_10_78,plain,
    ( e22 != e20
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_10_77,refute_10_75]) ).

cnf(refute_10_79,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_10_78,refute_10_73]) ).

cnf(refute_10_80,plain,
    ( e20 != e22
    | e22 = e20 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e20)),bind(Y,$fot(e22))]]) ).

cnf(refute_10_81,plain,
    e20 != e22,
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_10_80,refute_10_79]) ).

cnf(refute_10_82,plain,
    ( e21 = e22
    | e23 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_10_72,refute_10_81]) ).

cnf(refute_10_83,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_10_17]) ).

cnf(refute_10_84,plain,
    ( e23 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_10_82,refute_10_83]) ).

cnf(refute_10_85,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_10_18]) ).

cnf(refute_10_86,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_10_87,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_10_86,refute_10_85]) ).

cnf(refute_10_88,plain,
    op2(e20,e22) = e22,
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_10_84,refute_10_87]) ).

cnf(refute_10_89,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e22)]]) ).

cnf(refute_10_90,plain,
    ( op2(e20,e22) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_10_88,refute_10_89]) ).

cnf(refute_10_91,plain,
    ( e22 = e20
    | op2(e21,e22) = e20
    | op2(e22,e22) = e20
    | op2(e23,e22) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_10_0,refute_10_90]) ).

cnf(refute_10_92,plain,
    h3(e10) = op2(e22,e22),
    inference(canonicalize,[],[normalize_10_20]) ).

cnf(refute_10_93,plain,
    ( h3(e10) != op2(e22,e22)
    | op2(e22,e22) = h3(e10) ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_10_94,plain,
    op2(e22,e22) = h3(e10),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e22)) )],[refute_10_92,refute_10_93]) ).

cnf(refute_10_95,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != h3(e10)
    | h3(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e10))]]) ).

cnf(refute_10_96,plain,
    ( op2(e22,e22) != e20
    | h3(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e10)) )],[refute_10_94,refute_10_95]) ).

cnf(refute_10_97,plain,
    ( e22 = e20
    | h3(e10) = e20
    | op2(e21,e22) = e20
    | op2(e23,e22) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_10_91,refute_10_96]) ).

cnf(refute_10_98,plain,
    ( h3(e10) = e20
    | op2(e21,e22) = e20
    | op2(e23,e22) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_10_97,refute_10_79]) ).

cnf(refute_10_99,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(canonicalize,[],[normalize_10_21]) ).

cnf(refute_10_100,plain,
    ( op2(e23,e22) != e20
    | op2(e23,e23) != e20
    | op2(e23,e22) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_10_101,plain,
    ( op2(e23,e22) != e20
    | op2(e23,e22) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_8,refute_10_100]) ).

cnf(refute_10_102,plain,
    op2(e23,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_10_101,refute_10_99]) ).

cnf(refute_10_103,plain,
    ( h3(e10) = e20
    | op2(e21,e22) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_10_98,refute_10_102]) ).

cnf(refute_10_104,plain,
    h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
    inference(canonicalize,[],[normalize_10_29]) ).

cnf(refute_10_105,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_10_31]) ).

cnf(refute_10_106,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(subst,[],[refute_10_18:[bind(X,$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_10_107,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_10_60,refute_10_106]) ).

cnf(refute_10_108,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_10_65,refute_10_107]) ).

cnf(refute_10_109,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_10_110,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),e22) )],[refute_10_108,refute_10_109]) ).

cnf(refute_10_111,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_10_105,refute_10_110]) ).

cnf(refute_10_112,plain,
    op2(e21,h4(e12)) = op2(e21,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).

cnf(refute_10_113,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_10_114,plain,
    ( h4(e12) != e22
    | op2(e21,h4(e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_10_112,refute_10_113]) ).

cnf(refute_10_115,plain,
    op2(e21,h4(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_111,refute_10_114]) ).

cnf(refute_10_116,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_10_32]) ).

cnf(refute_10_117,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_10_118,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_10_56,refute_10_117]) ).

cnf(refute_10_119,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_10_116,refute_10_118]) ).

cnf(refute_10_120,plain,
    op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).

cnf(refute_10_121,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_10_122,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_10_120,refute_10_121]) ).

cnf(refute_10_123,plain,
    op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_119,refute_10_122]) ).

cnf(refute_10_124,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_10_18:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).

cnf(refute_10_125,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_10_123,refute_10_124]) ).

cnf(refute_10_126,plain,
    op2(h4(e11),h4(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_10_115,refute_10_125]) ).

cnf(refute_10_127,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_10_128,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_10_126,refute_10_127]) ).

cnf(refute_10_129,plain,
    h4(op1(e11,e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_10_104,refute_10_128]) ).

cnf(refute_10_130,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_10_33]) ).

cnf(refute_10_131,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(canonicalize,[],[normalize_10_35]) ).

cnf(refute_10_132,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(canonicalize,[],[normalize_10_36]) ).

cnf(refute_10_133,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_10_38]) ).

cnf(refute_10_134,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_10_39]) ).

cnf(refute_10_135,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_10_136,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_10_134,refute_10_135]) ).

cnf(refute_10_137,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_10_138,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_10_139,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_10_137,refute_10_138]) ).

cnf(refute_10_140,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_136,refute_10_139]) ).

cnf(refute_10_141,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_10_142,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_10_143,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_10_141,refute_10_142]) ).

cnf(refute_10_144,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_136,refute_10_143]) ).

cnf(refute_10_145,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_10_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_10_146,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_10_144,refute_10_145]) ).

cnf(refute_10_147,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_10_140,refute_10_146]) ).

cnf(refute_10_148,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_10_149,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_10_147,refute_10_148]) ).

cnf(refute_10_150,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_10_133,refute_10_149]) ).

cnf(refute_10_151,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_10_152,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_10_150,refute_10_151]) ).

cnf(refute_10_153,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e10) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e11)]]) ).

cnf(refute_10_154,plain,
    ( op1(e10,e10) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_10_152,refute_10_153]) ).

cnf(refute_10_155,plain,
    ( e11 = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_10_132,refute_10_154]) ).

cnf(refute_10_156,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(canonicalize,[],[normalize_10_41]) ).

cnf(refute_10_157,plain,
    ( e11 != e11
    | op1(e10,e10) != e11
    | op1(e10,e10) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).

cnf(refute_10_158,plain,
    ( e11 != e11
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_10_152,refute_10_157]) ).

cnf(refute_10_159,plain,
    ( e11 != e11
    | op1(e10,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_10_158,refute_10_156]) ).

cnf(refute_10_160,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_10_161,plain,
    op1(e10,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_10_160,refute_10_159]) ).

cnf(refute_10_162,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_10_163,plain,
    ( op1(e10,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_10_161,refute_10_162]) ).

cnf(refute_10_164,plain,
    ( e10 = e12
    | e11 = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_10_155,refute_10_163]) ).

cnf(refute_10_165,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_10_43]) ).

cnf(refute_10_166,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_10_45]) ).

cnf(refute_10_167,plain,
    ( op1(e10,e13) != e10
    | op1(e13,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_10_168,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_136,refute_10_167]) ).

cnf(refute_10_169,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_10_168,refute_10_166]) ).

cnf(refute_10_170,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_10_165,refute_10_169]) ).

cnf(refute_10_171,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_10_46]) ).

cnf(refute_10_172,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_10_173,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_10_152,refute_10_172]) ).

cnf(refute_10_174,plain,
    e11 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_10_173,refute_10_171]) ).

cnf(refute_10_175,plain,
    ( op1(e10,e13) != e11
    | e11 = op1(e10,e13) ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e11))]]) ).

cnf(refute_10_176,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_10_175,refute_10_174]) ).

cnf(refute_10_177,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_10_170,refute_10_176]) ).

cnf(refute_10_178,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(canonicalize,[],[normalize_10_47]) ).

cnf(refute_10_179,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_10_48]) ).

cnf(refute_10_180,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_10_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_10_181,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_10_147,refute_10_180]) ).

cnf(refute_10_182,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_10_152,refute_10_181]) ).

cnf(refute_10_183,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_10_184,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_10_185,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_10_183,refute_10_184]) ).

cnf(refute_10_186,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_10_182,refute_10_185]) ).

cnf(refute_10_187,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_10_188,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_10_186,refute_10_187]) ).

cnf(refute_10_189,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_10_179,refute_10_188]) ).

cnf(refute_10_190,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_10_191,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_10_189,refute_10_190]) ).

cnf(refute_10_192,plain,
    ( op1(e10,e13) != e12
    | op1(e11,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_10_193,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_10_191,refute_10_192]) ).

cnf(refute_10_194,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_10_193,refute_10_178]) ).

cnf(refute_10_195,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_177,refute_10_194]) ).

cnf(refute_10_196,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) != e13
    | e13 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).

cnf(refute_10_197,plain,
    ( op1(e10,e13) != e12
    | e13 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_10_195,refute_10_196]) ).

cnf(refute_10_198,plain,
    ( e10 = e12
    | e11 = e12
    | e13 = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_164,refute_10_197]) ).

cnf(refute_10_199,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_10_49]) ).

cnf(refute_10_200,plain,
    ( e12 != op1(e13,e13)
    | op1(e11,e13) != e12
    | op1(e11,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).

cnf(refute_10_201,plain,
    ( e12 != op1(e13,e13)
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_10_191,refute_10_200]) ).

cnf(refute_10_202,plain,
    ( e12 != e10
    | op1(e13,e13) != e10
    | e12 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_10_203,plain,
    ( e12 != e10
    | e12 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_136,refute_10_202]) ).

cnf(refute_10_204,plain,
    ( e12 != e10
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_10_203,refute_10_201]) ).

cnf(refute_10_205,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_10_204,refute_10_199]) ).

cnf(refute_10_206,plain,
    ( e10 != e12
    | e12 = e10 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e10)),bind(Y,$fot(e12))]]) ).

cnf(refute_10_207,plain,
    e10 != e12,
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_10_206,refute_10_205]) ).

cnf(refute_10_208,plain,
    ( e11 = e12
    | e13 = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_10_198,refute_10_207]) ).

cnf(refute_10_209,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_10_51]) ).

cnf(refute_10_210,plain,
    ( e13 = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_10_208,refute_10_209]) ).

cnf(refute_10_211,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_10_52]) ).

cnf(refute_10_212,plain,
    ( e13 != e12
    | e12 = e13 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).

cnf(refute_10_213,plain,
    e13 != e12,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_10_212,refute_10_211]) ).

cnf(refute_10_214,plain,
    op1(e10,e12) = e12,
    inference(resolve,[$cnf( $equal(e13,e12) )],[refute_10_210,refute_10_213]) ).

cnf(refute_10_215,plain,
    ( op1(e10,e12) != e12
    | op1(e10,e12) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e13) ),[0],$fot(e12)]]) ).

cnf(refute_10_216,plain,
    ( op1(e10,e12) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_10_214,refute_10_215]) ).

cnf(refute_10_217,plain,
    ( e12 = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_10_131,refute_10_216]) ).

cnf(refute_10_218,plain,
    ( op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_10_217,refute_10_211]) ).

cnf(refute_10_219,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(canonicalize,[],[normalize_10_53]) ).

cnf(refute_10_220,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(canonicalize,[],[normalize_10_54]) ).

cnf(refute_10_221,plain,
    ( e12 != op1(e12,e13)
    | op1(e11,e13) != e12
    | op1(e11,e13) = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).

cnf(refute_10_222,plain,
    ( e12 != op1(e12,e13)
    | op1(e11,e13) = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_10_191,refute_10_221]) ).

cnf(refute_10_223,plain,
    e12 != op1(e12,e13),
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_10_222,refute_10_220]) ).

cnf(refute_10_224,plain,
    ( op1(e12,e13) != e12
    | e12 = op1(e12,e13) ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_10_225,plain,
    op1(e12,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_10_224,refute_10_223]) ).

cnf(refute_10_226,plain,
    op1(e12,e12) != e13,
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_10_219,refute_10_225]) ).

cnf(refute_10_227,plain,
    ( op1(e11,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_218,refute_10_226]) ).

cnf(refute_10_228,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(canonicalize,[],[normalize_10_55]) ).

cnf(refute_10_229,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(canonicalize,[],[normalize_10_56]) ).

cnf(refute_10_230,plain,
    ( e10 != e10
    | op1(e13,e13) != e10
    | op1(e13,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[1],$fot(e10)]]) ).

cnf(refute_10_231,plain,
    ( e10 != e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_136,refute_10_230]) ).

cnf(refute_10_232,plain,
    ( e10 != e10
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_231,refute_10_229]) ).

cnf(refute_10_233,plain,
    e10 = e10,
    introduced(tautology,[refl,[$fot(e10)]]) ).

cnf(refute_10_234,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(e10,e10) )],[refute_10_233,refute_10_232]) ).

cnf(refute_10_235,plain,
    ( e13 != op1(e13,e12)
    | op1(e13,e10) != e13
    | op1(e13,e10) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[1],$fot(op1(e13,e12))]]) ).

cnf(refute_10_236,plain,
    ( e13 != op1(e13,e12)
    | op1(e13,e10) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_10_234,refute_10_235]) ).

cnf(refute_10_237,plain,
    e13 != op1(e13,e12),
    inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_10_236,refute_10_228]) ).

cnf(refute_10_238,plain,
    ( op1(e13,e12) != e13
    | e13 = op1(e13,e12) ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).

cnf(refute_10_239,plain,
    op1(e13,e12) != e13,
    inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_10_238,refute_10_237]) ).

cnf(refute_10_240,plain,
    op1(e11,e12) = e13,
    inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_10_227,refute_10_239]) ).

cnf(refute_10_241,plain,
    h4(op1(e11,e12)) = h4(op1(e11,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).

cnf(refute_10_242,plain,
    ( h4(op1(e11,e12)) != h4(op1(e11,e12))
    | op1(e11,e12) != e13
    | h4(op1(e11,e12)) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_10_243,plain,
    ( op1(e11,e12) != e13
    | h4(op1(e11,e12)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_10_241,refute_10_242]) ).

cnf(refute_10_244,plain,
    h4(op1(e11,e12)) = h4(e13),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_10_240,refute_10_243]) ).

cnf(refute_10_245,plain,
    ( h4(e13) != e23
    | h4(op1(e11,e12)) != h4(e13)
    | h4(op1(e11,e12)) = e23 ),
    inference(subst,[],[refute_10_18:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_10_246,plain,
    ( h4(e13) != e23
    | h4(op1(e11,e12)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e13)) )],[refute_10_244,refute_10_245]) ).

cnf(refute_10_247,plain,
    h4(op1(e11,e12)) = e23,
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_130,refute_10_246]) ).

cnf(refute_10_248,plain,
    ( h4(op1(e11,e12)) != e23
    | h4(op1(e11,e12)) != op2(e21,e22)
    | e23 = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(e23)]]) ).

cnf(refute_10_249,plain,
    ( h4(op1(e11,e12)) != op2(e21,e22)
    | e23 = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_10_247,refute_10_248]) ).

cnf(refute_10_250,plain,
    e23 = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_10_129,refute_10_249]) ).

cnf(refute_10_251,plain,
    ( e23 != op2(e21,e22)
    | op2(e21,e22) = e23 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e21,e22)))]]) ).

cnf(refute_10_252,plain,
    op2(e21,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_10_250,refute_10_251]) ).

cnf(refute_10_253,plain,
    ( op2(e21,e22) != e20
    | op2(e21,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_10_254,plain,
    ( op2(e21,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_10_252,refute_10_253]) ).

cnf(refute_10_255,plain,
    ( e23 = e20
    | h3(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_10_103,refute_10_254]) ).

cnf(refute_10_256,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_10_57]) ).

cnf(refute_10_257,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_10_258,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_10_257,refute_10_256]) ).

cnf(refute_10_259,plain,
    h3(e10) = e20,
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_10_255,refute_10_258]) ).

cnf(refute_10_260,plain,
    h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
    inference(canonicalize,[],[normalize_10_58]) ).

cnf(refute_10_261,plain,
    op2(e22,h4(e12)) = op2(e22,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e22,h4(e12)))]]) ).

cnf(refute_10_262,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_263,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_261,refute_10_262]) ).

cnf(refute_10_264,plain,
    op2(e22,h4(e12)) = op2(e22,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_111,refute_10_263]) ).

cnf(refute_10_265,plain,
    op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).

cnf(refute_10_266,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_267,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_265,refute_10_266]) ).

cnf(refute_10_268,plain,
    op2(h4(e12),h4(e12)) = op2(e22,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_111,refute_10_267]) ).

cnf(refute_10_269,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_18:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,h4(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).

cnf(refute_10_270,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_268,refute_10_269]) ).

cnf(refute_10_271,plain,
    op2(h4(e12),h4(e12)) = op2(e22,e22),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,e22)) )],[refute_10_264,refute_10_270]) ).

cnf(refute_10_272,plain,
    ( op2(e22,e22) != h3(e10)
    | op2(h4(e12),h4(e12)) != op2(e22,e22)
    | op2(h4(e12),h4(e12)) = h3(e10) ),
    inference(subst,[],[refute_10_18:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e10)))]]) ).

cnf(refute_10_273,plain,
    ( op2(e22,e22) != h3(e10)
    | op2(h4(e12),h4(e12)) = h3(e10) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,e22)) )],[refute_10_271,refute_10_272]) ).

cnf(refute_10_274,plain,
    op2(h4(e12),h4(e12)) = h3(e10),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e10)) )],[refute_10_94,refute_10_273]) ).

cnf(refute_10_275,plain,
    ( h4(op1(e12,e12)) != h3(e10)
    | op2(h4(e12),h4(e12)) != h3(e10)
    | 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(e10))]]) ).

cnf(refute_10_276,plain,
    ( h4(op1(e12,e12)) != h3(e10)
    | h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),h3(e10)) )],[refute_10_274,refute_10_275]) ).

cnf(refute_10_277,plain,
    h4(op1(e12,e12)) != h3(e10),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_10_276,refute_10_260]) ).

cnf(refute_10_278,plain,
    h4(e10) = op2(e23,e23),
    inference(canonicalize,[],[normalize_10_59]) ).

cnf(refute_10_279,plain,
    ( h4(e10) != op2(e23,e23)
    | op2(e23,e23) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_10_280,plain,
    ( h4(e10) != op2(e23,e23)
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_8,refute_10_279]) ).

cnf(refute_10_281,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e23)) )],[refute_10_278,refute_10_280]) ).

cnf(refute_10_282,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | op1(e12,e12) = e10
    | op1(e13,e12) = e10 ),
    inference(canonicalize,[],[normalize_10_60]) ).

cnf(refute_10_283,plain,
    ( op1(e10,e12) != e10
    | op1(e10,e12) != e12
    | e12 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0],$fot(e12)]]) ).

cnf(refute_10_284,plain,
    ( op1(e10,e12) != e10
    | e12 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_10_214,refute_10_283]) ).

cnf(refute_10_285,plain,
    ( e12 = e10
    | op1(e11,e12) = e10
    | op1(e12,e12) = e10
    | op1(e13,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_10_282,refute_10_284]) ).

cnf(refute_10_286,plain,
    ( op1(e11,e12) = e10
    | op1(e12,e12) = e10
    | op1(e13,e12) = e10 ),
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_10_285,refute_10_205]) ).

cnf(refute_10_287,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(canonicalize,[],[normalize_10_61]) ).

cnf(refute_10_288,plain,
    ( op1(e13,e12) != e10
    | op1(e13,e13) != e10
    | op1(e13,e12) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_10_289,plain,
    ( op1(e13,e12) != e10
    | op1(e13,e12) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_136,refute_10_288]) ).

cnf(refute_10_290,plain,
    op1(e13,e12) != e10,
    inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_10_289,refute_10_287]) ).

cnf(refute_10_291,plain,
    ( op1(e11,e12) = e10
    | op1(e12,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_10_286,refute_10_290]) ).

cnf(refute_10_292,plain,
    ( op1(e11,e12) != e10
    | op1(e11,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_10_293,plain,
    ( op1(e11,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_10_240,refute_10_292]) ).

cnf(refute_10_294,plain,
    ( e13 = e10
    | op1(e12,e12) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_10_291,refute_10_293]) ).

cnf(refute_10_295,plain,
    ( e13 != e10
    | op1(e10,e13) != e13
    | op1(e10,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[1],$fot(e10)]]) ).

cnf(refute_10_296,plain,
    ( e13 != e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_10_195,refute_10_295]) ).

cnf(refute_10_297,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_10_296,refute_10_169]) ).

cnf(refute_10_298,plain,
    op1(e12,e12) = e10,
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_10_294,refute_10_297]) ).

cnf(refute_10_299,plain,
    h4(op1(e12,e12)) = h4(op1(e12,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e12,e12)))]]) ).

cnf(refute_10_300,plain,
    ( h4(op1(e12,e12)) != h4(op1(e12,e12))
    | op1(e12,e12) != e10
    | h4(op1(e12,e12)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) ),[1,0],$fot(e10)]]) ).

cnf(refute_10_301,plain,
    ( op1(e12,e12) != e10
    | h4(op1(e12,e12)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) )],[refute_10_299,refute_10_300]) ).

cnf(refute_10_302,plain,
    h4(op1(e12,e12)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_298,refute_10_301]) ).

cnf(refute_10_303,plain,
    ( h4(e10) != e20
    | h4(op1(e12,e12)) != h4(e10)
    | h4(op1(e12,e12)) = e20 ),
    inference(subst,[],[refute_10_18:[bind(X,$fot(h4(op1(e12,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_10_304,plain,
    ( h4(e10) != e20
    | h4(op1(e12,e12)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(e10)) )],[refute_10_302,refute_10_303]) ).

cnf(refute_10_305,plain,
    h4(op1(e12,e12)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_281,refute_10_304]) ).

cnf(refute_10_306,plain,
    ( e20 != h3(e10)
    | h4(op1(e12,e12)) != e20
    | h4(op1(e12,e12)) = h3(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),e20) ),[1],$fot(h3(e10))]]) ).

cnf(refute_10_307,plain,
    ( e20 != h3(e10)
    | h4(op1(e12,e12)) = h3(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e20) )],[refute_10_305,refute_10_306]) ).

cnf(refute_10_308,plain,
    e20 != h3(e10),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e10)) )],[refute_10_307,refute_10_277]) ).

cnf(refute_10_309,plain,
    ( h3(e10) != e20
    | e20 = h3(e10) ),
    inference(subst,[],[refute_10_6:[bind(X,$fot(h3(e10))),bind(Y,$fot(e20))]]) ).

cnf(refute_10_310,plain,
    h3(e10) != e20,
    inference(resolve,[$cnf( $equal(e20,h3(e10)) )],[refute_10_309,refute_10_308]) ).

cnf(refute_10_311,plain,
    $false,
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_10_259,refute_10_310]) ).

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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_11_10,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_11_9]) ).

fof(normalize_11_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_11_12,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_11_11]) ).

fof(normalize_11_13,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_11_11]) ).

fof(normalize_11_14,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_15,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(conjunct,[],[normalize_11_14]) ).

fof(normalize_11_16,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_17,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_11_16]) ).

fof(normalize_11_18,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_19,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_11_18]) ).

fof(normalize_11_20,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_11_21,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_11_20]) ).

fof(normalize_11_22,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_11_18]) ).

fof(normalize_11_23,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_11_20]) ).

fof(normalize_11_24,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(conjunct,[],[normalize_11_18]) ).

fof(normalize_11_25,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_11_20]) ).

fof(normalize_11_26,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_11_27,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_11_26]) ).

fof(normalize_11_28,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_11_26]) ).

fof(normalize_11_29,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_11_26]) ).

fof(normalize_11_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_11_31,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(conjunct,[],[normalize_11_30]) ).

fof(normalize_11_32,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_33,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_11_32]) ).

fof(normalize_11_34,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_35,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_11_34]) ).

fof(normalize_11_36,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(conjunct,[],[normalize_11_34]) ).

fof(normalize_11_37,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(conjunct,[],[normalize_11_34]) ).

fof(normalize_11_38,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_11_11]) ).

fof(normalize_11_39,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_11_40,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_11_39]) ).

fof(normalize_11_41,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_11_39]) ).

fof(normalize_11_42,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_11_39]) ).

fof(normalize_11_43,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_11_9]) ).

fof(normalize_11_44,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_11_9]) ).

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(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_11_10]) ).

cnf(refute_11_2,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_11_12]) ).

cnf(refute_11_3,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_11_13]) ).

cnf(refute_11_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_11_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_11_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_11_4,refute_11_5]) ).

cnf(refute_11_7,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_11_8,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_11_3,refute_11_7]) ).

cnf(refute_11_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_11_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_11_11,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_11_9,refute_11_10]) ).

cnf(refute_11_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_8,refute_11_11]) ).

cnf(refute_11_13,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_11_14,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_11_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_13,refute_11_14]) ).

cnf(refute_11_16,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_8,refute_11_15]) ).

cnf(refute_11_17,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_11_18,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_6,refute_11_17]) ).

cnf(refute_11_19,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_11_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_11_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_11_16,refute_11_19]) ).

cnf(refute_11_21,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_11_12,refute_11_20]) ).

cnf(refute_11_22,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_11_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_11_21,refute_11_22]) ).

cnf(refute_11_24,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_2,refute_11_23]) ).

cnf(refute_11_25,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_11_26,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_11_24,refute_11_25]) ).

cnf(refute_11_27,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_11_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_11_28,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_11_21,refute_11_27]) ).

cnf(refute_11_29,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_11_26,refute_11_28]) ).

cnf(refute_11_30,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_11_31,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_11_29,refute_11_30]) ).

cnf(refute_11_32,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_1,refute_11_31]) ).

cnf(refute_11_33,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(canonicalize,[],[normalize_11_15]) ).

cnf(refute_11_34,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_11_17]) ).

cnf(refute_11_35,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_11_19]) ).

cnf(refute_11_36,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_11_21]) ).

cnf(refute_11_37,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_11_38,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_11_36,refute_11_37]) ).

cnf(refute_11_39,plain,
    ( op1(e10,e13) != e10
    | op1(e13,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_11_40,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_11_38,refute_11_39]) ).

cnf(refute_11_41,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_11_40,refute_11_35]) ).

cnf(refute_11_42,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_11_34,refute_11_41]) ).

cnf(refute_11_43,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_11_22]) ).

cnf(refute_11_44,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_11_23]) ).

cnf(refute_11_45,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_11_46,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_11_47,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_11_45,refute_11_46]) ).

cnf(refute_11_48,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_11_38,refute_11_47]) ).

cnf(refute_11_49,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_11_50,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_11_51,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_11_49,refute_11_50]) ).

cnf(refute_11_52,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_11_38,refute_11_51]) ).

cnf(refute_11_53,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_11_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_11_54,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_11_52,refute_11_53]) ).

cnf(refute_11_55,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_11_48,refute_11_54]) ).

cnf(refute_11_56,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_11_57,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_11_55,refute_11_56]) ).

cnf(refute_11_58,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_11_44,refute_11_57]) ).

cnf(refute_11_59,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_11_60,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_11_58,refute_11_59]) ).

cnf(refute_11_61,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_11_62,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_11_60,refute_11_61]) ).

cnf(refute_11_63,plain,
    e11 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_11_62,refute_11_43]) ).

cnf(refute_11_64,plain,
    ( op1(e10,e13) != e11
    | e11 = op1(e10,e13) ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e11))]]) ).

cnf(refute_11_65,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_11_64,refute_11_63]) ).

cnf(refute_11_66,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_11_42,refute_11_65]) ).

cnf(refute_11_67,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(canonicalize,[],[normalize_11_24]) ).

cnf(refute_11_68,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_11_25]) ).

cnf(refute_11_69,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_11_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_11_70,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_11_55,refute_11_69]) ).

cnf(refute_11_71,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_11_60,refute_11_70]) ).

cnf(refute_11_72,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_11_73,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_11_74,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_11_72,refute_11_73]) ).

cnf(refute_11_75,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_11_71,refute_11_74]) ).

cnf(refute_11_76,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_11_77,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_11_75,refute_11_76]) ).

cnf(refute_11_78,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_11_68,refute_11_77]) ).

cnf(refute_11_79,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_11_80,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_11_78,refute_11_79]) ).

cnf(refute_11_81,plain,
    ( op1(e10,e13) != e12
    | op1(e11,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_11_82,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_11_80,refute_11_81]) ).

cnf(refute_11_83,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_11_82,refute_11_67]) ).

cnf(refute_11_84,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_11_66,refute_11_83]) ).

cnf(refute_11_85,plain,
    ( op1(e10,e13) != e11
    | op1(e10,e13) != e13
    | e13 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[0],$fot(e13)]]) ).

cnf(refute_11_86,plain,
    ( op1(e10,e13) != e11
    | e13 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_11_84,refute_11_85]) ).

cnf(refute_11_87,plain,
    ( e13 = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_11_33,refute_11_86]) ).

cnf(refute_11_88,plain,
    ( op1(e11,e13) != e11
    | op1(e11,e13) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e11) ),[0],$fot(e12)]]) ).

cnf(refute_11_89,plain,
    ( op1(e11,e13) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_11_80,refute_11_88]) ).

cnf(refute_11_90,plain,
    ( e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_11_87,refute_11_89]) ).

cnf(refute_11_91,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e10)]]) ).

cnf(refute_11_92,plain,
    ( op1(e13,e13) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_11_38,refute_11_91]) ).

cnf(refute_11_93,plain,
    ( e10 = e11
    | e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_90,refute_11_92]) ).

cnf(refute_11_94,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_11_27]) ).

cnf(refute_11_95,plain,
    ( e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_11_93,refute_11_94]) ).

cnf(refute_11_96,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_11_28]) ).

cnf(refute_11_97,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_11_98,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_11_97,refute_11_96]) ).

cnf(refute_11_99,plain,
    ( e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_11_95,refute_11_98]) ).

cnf(refute_11_100,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_11_29]) ).

cnf(refute_11_101,plain,
    ( e13 != e11
    | e11 = e13 ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).

cnf(refute_11_102,plain,
    e13 != e11,
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_11_101,refute_11_100]) ).

cnf(refute_11_103,plain,
    op1(e12,e13) = e11,
    inference(resolve,[$cnf( $equal(e13,e11) )],[refute_11_99,refute_11_102]) ).

cnf(refute_11_104,plain,
    h4(op1(e12,e13)) = h4(op1(e12,e13)),
    introduced(tautology,[refl,[$fot(h4(op1(e12,e13)))]]) ).

cnf(refute_11_105,plain,
    ( h4(op1(e12,e13)) != h4(op1(e12,e13))
    | op1(e12,e13) != e11
    | h4(op1(e12,e13)) = h4(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) ),[1,0],$fot(e11)]]) ).

cnf(refute_11_106,plain,
    ( op1(e12,e13) != e11
    | h4(op1(e12,e13)) = h4(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) )],[refute_11_104,refute_11_105]) ).

cnf(refute_11_107,plain,
    h4(op1(e12,e13)) = h4(e11),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_11_103,refute_11_106]) ).

cnf(refute_11_108,plain,
    ( h4(e11) != e21
    | h4(op1(e12,e13)) != h4(e11)
    | h4(op1(e12,e13)) = e21 ),
    inference(subst,[],[refute_11_18:[bind(X,$fot(h4(op1(e12,e13)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_11_109,plain,
    ( h4(e11) != e21
    | h4(op1(e12,e13)) = e21 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(e11)) )],[refute_11_107,refute_11_108]) ).

cnf(refute_11_110,plain,
    h4(op1(e12,e13)) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_11_32,refute_11_109]) ).

cnf(refute_11_111,plain,
    ( e21 != op2(h4(e12),h4(e13))
    | h4(op1(e12,e13)) != e21
    | h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),e21) ),[1],$fot(op2(h4(e12),h4(e13)))]]) ).

cnf(refute_11_112,plain,
    ( e21 != op2(h4(e12),h4(e13))
    | h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e21) )],[refute_11_110,refute_11_111]) ).

cnf(refute_11_113,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(canonicalize,[],[normalize_11_31]) ).

cnf(refute_11_114,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_11_33]) ).

cnf(refute_11_115,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_11_35]) ).

cnf(refute_11_116,plain,
    ( op2(e20,e23) != e20
    | op2(e23,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_11_117,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_8,refute_11_116]) ).

cnf(refute_11_118,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_11_117,refute_11_115]) ).

cnf(refute_11_119,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_11_114,refute_11_118]) ).

cnf(refute_11_120,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(canonicalize,[],[normalize_11_36]) ).

cnf(refute_11_121,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_11_122,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_11_26,refute_11_121]) ).

cnf(refute_11_123,plain,
    e21 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_11_122,refute_11_120]) ).

cnf(refute_11_124,plain,
    ( op2(e20,e23) != e21
    | e21 = op2(e20,e23) ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e21))]]) ).

cnf(refute_11_125,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_11_124,refute_11_123]) ).

cnf(refute_11_126,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_11_119,refute_11_125]) ).

cnf(refute_11_127,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(canonicalize,[],[normalize_11_37]) ).

cnf(refute_11_128,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_11_38]) ).

cnf(refute_11_129,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_11_130,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_11_131,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_11_129,refute_11_130]) ).

cnf(refute_11_132,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_11_29,refute_11_131]) ).

cnf(refute_11_133,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_11_134,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_11_132,refute_11_133]) ).

cnf(refute_11_135,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_11_128,refute_11_134]) ).

cnf(refute_11_136,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_11_137,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_11_135,refute_11_136]) ).

cnf(refute_11_138,plain,
    ( op2(e20,e23) != e22
    | op2(e21,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_11_139,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_11_137,refute_11_138]) ).

cnf(refute_11_140,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_11_139,refute_11_127]) ).

cnf(refute_11_141,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_11_126,refute_11_140]) ).

cnf(refute_11_142,plain,
    ( op2(e20,e23) != e21
    | op2(e20,e23) != e23
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(e23)]]) ).

cnf(refute_11_143,plain,
    ( op2(e20,e23) != e21
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_11_141,refute_11_142]) ).

cnf(refute_11_144,plain,
    ( e23 = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_11_113,refute_11_143]) ).

cnf(refute_11_145,plain,
    ( op2(e21,e23) != e21
    | op2(e21,e23) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e22)]]) ).

cnf(refute_11_146,plain,
    ( op2(e21,e23) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_11_137,refute_11_145]) ).

cnf(refute_11_147,plain,
    ( e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_11_144,refute_11_146]) ).

cnf(refute_11_148,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e20)]]) ).

cnf(refute_11_149,plain,
    ( op2(e23,e23) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_8,refute_11_148]) ).

cnf(refute_11_150,plain,
    ( e20 = e21
    | e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_147,refute_11_149]) ).

cnf(refute_11_151,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_11_40]) ).

cnf(refute_11_152,plain,
    ( e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_11_150,refute_11_151]) ).

cnf(refute_11_153,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_11_41]) ).

cnf(refute_11_154,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_11_155,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_11_154,refute_11_153]) ).

cnf(refute_11_156,plain,
    ( e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_11_152,refute_11_155]) ).

cnf(refute_11_157,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_11_42]) ).

cnf(refute_11_158,plain,
    ( e23 != e21
    | e21 = e23 ),
    inference(subst,[],[refute_11_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).

cnf(refute_11_159,plain,
    e23 != e21,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_158,refute_11_157]) ).

cnf(refute_11_160,plain,
    op2(e22,e23) = e21,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_11_156,refute_11_159]) ).

cnf(refute_11_161,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_11_43]) ).

cnf(refute_11_162,plain,
    op2(e22,h4(e13)) = op2(e22,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e22,h4(e13)))]]) ).

cnf(refute_11_163,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_164,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_162,refute_11_163]) ).

cnf(refute_11_165,plain,
    op2(e22,h4(e13)) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_161,refute_11_164]) ).

cnf(refute_11_166,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_11_44]) ).

cnf(refute_11_167,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(subst,[],[refute_11_18:[bind(X,$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_11_168,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_11_132,refute_11_167]) ).

cnf(refute_11_169,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_11_137,refute_11_168]) ).

cnf(refute_11_170,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_11_171,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),e22) )],[refute_11_169,refute_11_170]) ).

cnf(refute_11_172,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_11_166,refute_11_171]) ).

cnf(refute_11_173,plain,
    op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).

cnf(refute_11_174,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_175,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_173,refute_11_174]) ).

cnf(refute_11_176,plain,
    op2(h4(e12),h4(e13)) = op2(e22,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_11_172,refute_11_175]) ).

cnf(refute_11_177,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_18:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e22,h4(e13)))),bind(Z,$fot(op2(e22,e23)))]]) ).

cnf(refute_11_178,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_176,refute_11_177]) ).

cnf(refute_11_179,plain,
    op2(h4(e12),h4(e13)) = op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,e23)) )],[refute_11_165,refute_11_178]) ).

cnf(refute_11_180,plain,
    ( op2(e22,e23) != e21
    | op2(h4(e12),h4(e13)) != op2(e22,e23)
    | op2(h4(e12),h4(e13)) = e21 ),
    inference(subst,[],[refute_11_18:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(e21))]]) ).

cnf(refute_11_181,plain,
    ( op2(e22,e23) != e21
    | op2(h4(e12),h4(e13)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,e23)) )],[refute_11_179,refute_11_180]) ).

cnf(refute_11_182,plain,
    op2(h4(e12),h4(e13)) = e21,
    inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_11_160,refute_11_181]) ).

cnf(refute_11_183,plain,
    ( e21 != e21
    | op2(h4(e12),h4(e13)) != e21
    | e21 = op2(h4(e12),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e12),h4(e13))) ),[1],$fot(e21)]]) ).

cnf(refute_11_184,plain,
    ( e21 != e21
    | e21 = op2(h4(e12),h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),e21) )],[refute_11_182,refute_11_183]) ).

cnf(refute_11_185,plain,
    ( e21 != e21
    | h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
    inference(resolve,[$cnf( $equal(e21,op2(h4(e12),h4(e13))) )],[refute_11_184,refute_11_112]) ).

cnf(refute_11_186,plain,
    e21 != e21,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_11_185,refute_11_0]) ).

cnf(refute_11_187,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_11_188,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_187,refute_11_186]) ).

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,
    ( 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_1,plain,
    ( h1(e10) = op2(e20,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_12_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_12_1]) ).

fof(normalize_12_3,plain,
    ( h2(e10) = op2(e21,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),e21)
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_12_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_12_3]) ).

fof(normalize_12_5,plain,
    ( h3(e10) = op2(e22,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22)
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_12_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_12_5]) ).

fof(normalize_12_7,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_0,normalize_12_2,normalize_12_4,normalize_12_6]) ).

fof(normalize_12_8,plain,
    h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
    inference(conjunct,[],[normalize_12_7]) ).

fof(normalize_12_9,plain,
    ( h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_12_10,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_12_9]) ).

fof(normalize_12_11,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_12_12,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(conjunct,[],[normalize_12_11]) ).

fof(normalize_12_13,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_12_14,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_12_13]) ).

fof(normalize_12_15,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_12_16,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(conjunct,[],[normalize_12_15]) ).

fof(normalize_12_17,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_12_18,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_12_17]) ).

fof(normalize_12_19,plain,
    h4(e10) = op2(e23,e23),
    inference(conjunct,[],[normalize_12_9]) ).

cnf(refute_12_0,plain,
    h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
    inference(canonicalize,[],[normalize_12_8]) ).

cnf(refute_12_1,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_12_10]) ).

cnf(refute_12_2,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(canonicalize,[],[normalize_12_12]) ).

cnf(refute_12_3,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_12_14]) ).

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,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_12_8,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_12_3,refute_12_7]) ).

cnf(refute_12_9,plain,
    ( e10 != e10
    | op1(e13,e13) != e10
    | op1(e13,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[1],$fot(e10)]]) ).

cnf(refute_12_10,plain,
    ( e10 != e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_12_8,refute_12_9]) ).

cnf(refute_12_11,plain,
    ( e10 != e10
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_12_10,refute_12_2]) ).

cnf(refute_12_12,plain,
    e10 = e10,
    introduced(tautology,[refl,[$fot(e10)]]) ).

cnf(refute_12_13,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(e10,e10) )],[refute_12_12,refute_12_11]) ).

cnf(refute_12_14,plain,
    h4(op1(e13,e10)) = h4(op1(e13,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e13,e10)))]]) ).

cnf(refute_12_15,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_16,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_14,refute_12_15]) ).

cnf(refute_12_17,plain,
    h4(op1(e13,e10)) = h4(e13),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_12_13,refute_12_16]) ).

cnf(refute_12_18,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_12_19,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_12_6,refute_12_18]) ).

cnf(refute_12_20,plain,
    ( h4(e13) != e23
    | h4(op1(e13,e10)) != h4(e13)
    | h4(op1(e13,e10)) = e23 ),
    inference(subst,[],[refute_12_19:[bind(X,$fot(h4(op1(e13,e10)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_12_21,plain,
    ( h4(e13) != e23
    | h4(op1(e13,e10)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(e13)) )],[refute_12_17,refute_12_20]) ).

cnf(refute_12_22,plain,
    h4(op1(e13,e10)) = e23,
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_1,refute_12_21]) ).

cnf(refute_12_23,plain,
    ( e23 != op2(h4(e13),h4(e10))
    | h4(op1(e13,e10)) != e23
    | h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),e23) ),[1],$fot(op2(h4(e13),h4(e10)))]]) ).

cnf(refute_12_24,plain,
    ( e23 != op2(h4(e13),h4(e10))
    | h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),e23) )],[refute_12_22,refute_12_23]) ).

cnf(refute_12_25,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(canonicalize,[],[normalize_12_16]) ).

cnf(refute_12_26,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_12_18]) ).

cnf(refute_12_27,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_12_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_12_28,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_12_26,refute_12_27]) ).

cnf(refute_12_29,plain,
    ( e20 != e20
    | op2(e23,e23) != e20
    | op2(e23,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[1],$fot(e20)]]) ).

cnf(refute_12_30,plain,
    ( e20 != e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_12_28,refute_12_29]) ).

cnf(refute_12_31,plain,
    ( e20 != e20
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_12_30,refute_12_25]) ).

cnf(refute_12_32,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_12_33,plain,
    op2(e23,e20) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_12_32,refute_12_31]) ).

cnf(refute_12_34,plain,
    h4(e10) = op2(e23,e23),
    inference(canonicalize,[],[normalize_12_19]) ).

cnf(refute_12_35,plain,
    ( h4(e10) != op2(e23,e23)
    | op2(e23,e23) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_12_36,plain,
    ( h4(e10) != op2(e23,e23)
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_12_28,refute_12_35]) ).

cnf(refute_12_37,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e23)) )],[refute_12_34,refute_12_36]) ).

cnf(refute_12_38,plain,
    op2(e23,h4(e10)) = op2(e23,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).

cnf(refute_12_39,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_40,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_38,refute_12_39]) ).

cnf(refute_12_41,plain,
    op2(e23,h4(e10)) = op2(e23,e20),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_37,refute_12_40]) ).

cnf(refute_12_42,plain,
    op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).

cnf(refute_12_43,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_44,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_42,refute_12_43]) ).

cnf(refute_12_45,plain,
    op2(h4(e13),h4(e10)) = op2(e23,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_1,refute_12_44]) ).

cnf(refute_12_46,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_19:[bind(X,$fot(op2(h4(e13),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).

cnf(refute_12_47,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_45,refute_12_46]) ).

cnf(refute_12_48,plain,
    op2(h4(e13),h4(e10)) = op2(e23,e20),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e20)) )],[refute_12_41,refute_12_47]) ).

cnf(refute_12_49,plain,
    ( op2(e23,e20) != e23
    | op2(h4(e13),h4(e10)) != op2(e23,e20)
    | op2(h4(e13),h4(e10)) = e23 ),
    inference(subst,[],[refute_12_19:[bind(X,$fot(op2(h4(e13),h4(e10)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e23))]]) ).

cnf(refute_12_50,plain,
    ( op2(e23,e20) != e23
    | op2(h4(e13),h4(e10)) = e23 ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,e20)) )],[refute_12_48,refute_12_49]) ).

cnf(refute_12_51,plain,
    op2(h4(e13),h4(e10)) = e23,
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_33,refute_12_50]) ).

cnf(refute_12_52,plain,
    ( e23 != e23
    | op2(h4(e13),h4(e10)) != e23
    | e23 = op2(h4(e13),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h4(e13),h4(e10))) ),[1],$fot(e23)]]) ).

cnf(refute_12_53,plain,
    ( e23 != e23
    | e23 = op2(h4(e13),h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),e23) )],[refute_12_51,refute_12_52]) ).

cnf(refute_12_54,plain,
    ( e23 != e23
    | h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    inference(resolve,[$cnf( $equal(e23,op2(h4(e13),h4(e10))) )],[refute_12_53,refute_12_24]) ).

cnf(refute_12_55,plain,
    e23 != e23,
    inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_12_54,refute_12_0]) ).

cnf(refute_12_56,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_12_57,plain,
    $false,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_56,refute_12_55]) ).

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,
    ( ( 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_13_1,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(conjunct,[],[normalize_13_0]) ).

fof(normalize_13_2,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_13_3,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(conjunct,[],[normalize_13_2]) ).

fof(normalize_13_4,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_13_5,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_13_4]) ).

fof(normalize_13_6,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_13_4]) ).

fof(normalize_13_7,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_8,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(conjunct,[],[normalize_13_7]) ).

fof(normalize_13_9,plain,
    ( h1(e10) = op2(e20,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_13_10,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(conjunct,[],[normalize_13_9]) ).

fof(normalize_13_11,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(conjunct,[],[normalize_13_2]) ).

fof(normalize_13_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_13_13,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(conjunct,[],[normalize_13_12]) ).

fof(normalize_13_14,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(conjunct,[],[normalize_13_12]) ).

fof(normalize_13_15,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_13_4]) ).

fof(normalize_13_16,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e23) = e21 ),
    inference(conjunct,[],[normalize_13_2]) ).

fof(normalize_13_17,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_13_18,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_13_17]) ).

fof(normalize_13_19,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_13_12]) ).

fof(normalize_13_20,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(conjunct,[],[normalize_13_0]) ).

fof(normalize_13_21,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(conjunct,[],[normalize_13_0]) ).

fof(normalize_13_22,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(conjunct,[],[normalize_13_2]) ).

fof(normalize_13_23,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_13_17]) ).

fof(normalize_13_24,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(conjunct,[],[normalize_13_12]) ).

fof(normalize_13_25,plain,
    ( h3(e10) = op2(e22,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22)
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_13_26,plain,
    h3(e10) = op2(e22,e22),
    inference(conjunct,[],[normalize_13_25]) ).

fof(normalize_13_27,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(conjunct,[],[normalize_13_0]) ).

fof(normalize_13_28,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_13_7]) ).

fof(normalize_13_29,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_13_12]) ).

fof(normalize_13_30,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(conjunct,[],[normalize_13_12]) ).

fof(normalize_13_31,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(conjunct,[],[normalize_13_12]) ).

fof(normalize_13_32,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_13_17]) ).

fof(normalize_13_33,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_13_17]) ).

fof(normalize_13_34,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e23) = e22 ),
    inference(conjunct,[],[normalize_13_2]) ).

fof(normalize_13_35,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(conjunct,[],[normalize_13_12]) ).

fof(normalize_13_36,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_37,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_13_9]) ).

fof(normalize_13_38,plain,
    ( h2(e10) = op2(e21,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),e21)
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_13_39,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_13_38]) ).

fof(normalize_13_40,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_13_25]) ).

fof(normalize_13_41,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_36,normalize_13_37,normalize_13_39,normalize_13_40]) ).

fof(normalize_13_42,plain,
    h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
    inference(conjunct,[],[normalize_13_41]) ).

fof(normalize_13_43,plain,
    ( h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_13_44,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_13_43]) ).

fof(normalize_13_45,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_13_43]) ).

fof(normalize_13_46,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_13_43]) ).

fof(normalize_13_47,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_13_48,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(conjunct,[],[normalize_13_47]) ).

fof(normalize_13_49,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_13_50,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(conjunct,[],[normalize_13_49]) ).

fof(normalize_13_51,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_13_52,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_13_51]) ).

fof(normalize_13_53,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_13_51]) ).

fof(normalize_13_54,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_55,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    inference(conjunct,[],[normalize_13_54]) ).

fof(normalize_13_56,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e10) = e11 ),
    inference(conjunct,[],[normalize_13_49]) ).

fof(normalize_13_57,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_58,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(conjunct,[],[normalize_13_57]) ).

fof(normalize_13_59,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(conjunct,[],[normalize_13_57]) ).

fof(normalize_13_60,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_13_51]) ).

fof(normalize_13_61,plain,
    ( op1(e11,e11) != e13
    | op1(e11,e13) = e11 ),
    inference(conjunct,[],[normalize_13_49]) ).

fof(normalize_13_62,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_13_63,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_13_62]) ).

fof(normalize_13_64,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_13_57]) ).

fof(normalize_13_65,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    inference(conjunct,[],[normalize_13_47]) ).

fof(normalize_13_66,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(conjunct,[],[normalize_13_47]) ).

fof(normalize_13_67,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(conjunct,[],[normalize_13_49]) ).

fof(normalize_13_68,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_13_62]) ).

fof(normalize_13_69,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(conjunct,[],[normalize_13_57]) ).

fof(normalize_13_70,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(conjunct,[],[normalize_13_47]) ).

fof(normalize_13_71,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_13_54]) ).

fof(normalize_13_72,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_13_57]) ).

fof(normalize_13_73,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_13_57]) ).

fof(normalize_13_74,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(conjunct,[],[normalize_13_57]) ).

fof(normalize_13_75,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_13_62]) ).

fof(normalize_13_76,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_13_62]) ).

fof(normalize_13_77,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(conjunct,[],[normalize_13_49]) ).

fof(normalize_13_78,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(conjunct,[],[normalize_13_57]) ).

cnf(refute_13_0,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(canonicalize,[],[normalize_13_1]) ).

cnf(refute_13_1,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(canonicalize,[],[normalize_13_3]) ).

cnf(refute_13_2,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_13_5]) ).

cnf(refute_13_3,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_13_6]) ).

cnf(refute_13_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_13_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_13_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_13_4,refute_13_5]) ).

cnf(refute_13_7,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_13_8,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_13_3,refute_13_7]) ).

cnf(refute_13_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_13_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_13_11,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_13_9,refute_13_10]) ).

cnf(refute_13_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_8,refute_13_11]) ).

cnf(refute_13_13,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_13_14,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_13_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_13_13,refute_13_14]) ).

cnf(refute_13_16,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_8,refute_13_15]) ).

cnf(refute_13_17,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_13_18,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_6,refute_13_17]) ).

cnf(refute_13_19,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_13_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_13_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_13_16,refute_13_19]) ).

cnf(refute_13_21,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_13_12,refute_13_20]) ).

cnf(refute_13_22,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_13_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_13_21,refute_13_22]) ).

cnf(refute_13_24,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_13_2,refute_13_23]) ).

cnf(refute_13_25,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_13_26,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_13_24,refute_13_25]) ).

cnf(refute_13_27,plain,
    ( e21 != e21
    | op2(e20,e20) != e21
    | op2(e20,e20) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(e21)]]) ).

cnf(refute_13_28,plain,
    ( e21 != e21
    | op2(e20,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_26,refute_13_27]) ).

cnf(refute_13_29,plain,
    ( e21 != e21
    | op2(e20,e21) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_28,refute_13_1]) ).

cnf(refute_13_30,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_13_31,plain,
    op2(e20,e21) = e20,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_30,refute_13_29]) ).

cnf(refute_13_32,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(e20)]]) ).

cnf(refute_13_33,plain,
    ( op2(e20,e21) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_13_31,refute_13_32]) ).

cnf(refute_13_34,plain,
    ( e20 = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_13_0,refute_13_33]) ).

cnf(refute_13_35,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(canonicalize,[],[normalize_13_8]) ).

cnf(refute_13_36,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(canonicalize,[],[normalize_13_10]) ).

cnf(refute_13_37,plain,
    op2(e21,op2(e20,e20)) = op2(e21,op2(e20,e20)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e20)))]]) ).

cnf(refute_13_38,plain,
    ( op2(e20,e20) != e21
    | op2(e21,op2(e20,e20)) != op2(e21,op2(e20,e20))
    | op2(e21,op2(e20,e20)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,op2(e20,e20))) ),[1,1],$fot(e21)]]) ).

cnf(refute_13_39,plain,
    ( op2(e20,e20) != e21
    | op2(e21,op2(e20,e20)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,op2(e20,e20))) )],[refute_13_37,refute_13_38]) ).

cnf(refute_13_40,plain,
    op2(e21,op2(e20,e20)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_26,refute_13_39]) ).

cnf(refute_13_41,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
    introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).

cnf(refute_13_42,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(e21)]]) ).

cnf(refute_13_43,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_13_41,refute_13_42]) ).

cnf(refute_13_44,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_26,refute_13_43]) ).

cnf(refute_13_45,plain,
    ( op2(e21,op2(e20,e20)) != op2(e21,e21)
    | op2(op2(e20,e20),op2(e20,e20)) != op2(e21,op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21) ),
    inference(subst,[],[refute_13_18:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(e21,op2(e20,e20)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_13_46,plain,
    ( op2(e21,op2(e20,e20)) != op2(e21,e21)
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(e21,op2(e20,e20))) )],[refute_13_44,refute_13_45]) ).

cnf(refute_13_47,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,e21)) )],[refute_13_40,refute_13_46]) ).

cnf(refute_13_48,plain,
    ( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) != op2(e21,e21)
    | h1(e11) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e21)) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).

cnf(refute_13_49,plain,
    ( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
    | h1(e11) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(e21,e21)) )],[refute_13_47,refute_13_48]) ).

cnf(refute_13_50,plain,
    h1(e11) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_13_36,refute_13_49]) ).

cnf(refute_13_51,plain,
    ( h1(e11) != op2(e21,e21)
    | op2(e21,e21) = h1(e11) ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_13_52,plain,
    op2(e21,e21) = h1(e11),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e21)) )],[refute_13_50,refute_13_51]) ).

cnf(refute_13_53,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h1(e11))]]) ).

cnf(refute_13_54,plain,
    ( op2(e21,e21) != e20
    | h1(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_13_52,refute_13_53]) ).

cnf(refute_13_55,plain,
    ( h1(e11) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_13_35,refute_13_54]) ).

cnf(refute_13_56,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h1(e11))]]) ).

cnf(refute_13_57,plain,
    ( op2(e21,e21) != e21
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_13_52,refute_13_56]) ).

cnf(refute_13_58,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_13_55,refute_13_57]) ).

cnf(refute_13_59,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h1(e11))]]) ).

cnf(refute_13_60,plain,
    ( op2(e21,e21) != e22
    | h1(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_13_52,refute_13_59]) ).

cnf(refute_13_61,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_13_58,refute_13_60]) ).

cnf(refute_13_62,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h1(e11))]]) ).

cnf(refute_13_63,plain,
    ( op2(e21,e21) != e23
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_13_52,refute_13_62]) ).

cnf(refute_13_64,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_13_61,refute_13_63]) ).

cnf(refute_13_65,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(canonicalize,[],[normalize_13_11]) ).

cnf(refute_13_66,plain,
    ( h1(e11) != e20
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_13_67,plain,
    ( h1(e11) != e20
    | op2(e21,e21) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_13_52,refute_13_66]) ).

cnf(refute_13_68,plain,
    ( h1(e11) != e20
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_13_67,refute_13_65]) ).

cnf(refute_13_69,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(canonicalize,[],[normalize_13_13]) ).

cnf(refute_13_70,plain,
    ( e21 != op2(e21,e20)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_13_71,plain,
    ( e21 != op2(e21,e20)
    | op2(e20,e20) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_26,refute_13_70]) ).

cnf(refute_13_72,plain,
    e21 != op2(e21,e20),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_13_71,refute_13_69]) ).

cnf(refute_13_73,plain,
    ( op2(e21,e20) != e21
    | e21 = op2(e21,e20) ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(op2(e21,e20))),bind(Y,$fot(e21))]]) ).

cnf(refute_13_74,plain,
    op2(e21,e20) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_13_73,refute_13_72]) ).

cnf(refute_13_75,plain,
    h1(e11) != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_13_68,refute_13_74]) ).

cnf(refute_13_76,plain,
    ( h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_13_64,refute_13_75]) ).

cnf(refute_13_77,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(canonicalize,[],[normalize_13_14]) ).

cnf(refute_13_78,plain,
    ( h1(e11) != op2(e21,e23)
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(op2(e21,e23))]]) ).

cnf(refute_13_79,plain,
    ( h1(e11) != op2(e21,e23)
    | op2(e21,e21) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_13_52,refute_13_78]) ).

cnf(refute_13_80,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_13_15]) ).

cnf(refute_13_81,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_13_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_13_82,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_13_21,refute_13_81]) ).

cnf(refute_13_83,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_26,refute_13_82]) ).

cnf(refute_13_84,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_13_85,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_13_86,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_13_84,refute_13_85]) ).

cnf(refute_13_87,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_13_83,refute_13_86]) ).

cnf(refute_13_88,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_13_89,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_13_87,refute_13_88]) ).

cnf(refute_13_90,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_13_80,refute_13_89]) ).

cnf(refute_13_91,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_13_92,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_13_90,refute_13_91]) ).

cnf(refute_13_93,plain,
    ( h1(e11) != e22
    | op2(e21,e23) != e22
    | h1(e11) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_13_94,plain,
    ( h1(e11) != e22
    | h1(e11) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_13_92,refute_13_93]) ).

cnf(refute_13_95,plain,
    ( h1(e11) != e22
    | op2(e21,e21) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e23)) )],[refute_13_94,refute_13_79]) ).

cnf(refute_13_96,plain,
    h1(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_13_95,refute_13_77]) ).

cnf(refute_13_97,plain,
    ( h1(e11) = e21
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_13_76,refute_13_96]) ).

cnf(refute_13_98,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e23) = e21 ),
    inference(canonicalize,[],[normalize_13_16]) ).

cnf(refute_13_99,plain,
    ( h1(e11) != e23
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_13_100,plain,
    ( h1(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_13_52,refute_13_99]) ).

cnf(refute_13_101,plain,
    ( h1(e11) != e23
    | op2(e21,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_13_100,refute_13_98]) ).

cnf(refute_13_102,plain,
    ( op2(e21,e23) != e21
    | op2(e21,e23) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e22)]]) ).

cnf(refute_13_103,plain,
    ( op2(e21,e23) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_13_92,refute_13_102]) ).

cnf(refute_13_104,plain,
    ( h1(e11) != e23
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_13_101,refute_13_103]) ).

cnf(refute_13_105,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_13_18]) ).

cnf(refute_13_106,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_13_107,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_13_106,refute_13_105]) ).

cnf(refute_13_108,plain,
    h1(e11) != e23,
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_13_104,refute_13_107]) ).

cnf(refute_13_109,plain,
    h1(e11) = e21,
    inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_13_97,refute_13_108]) ).

cnf(refute_13_110,plain,
    ( h1(e11) != e21
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = e21 ),
    inference(subst,[],[refute_13_18:[bind(X,$fot(op2(e21,e21))),bind(Y,$fot(h1(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_13_111,plain,
    ( h1(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_13_52,refute_13_110]) ).

cnf(refute_13_112,plain,
    op2(e21,e21) = e21,
    inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_13_109,refute_13_111]) ).

cnf(refute_13_113,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(e21)]]) ).

cnf(refute_13_114,plain,
    ( op2(e21,e21) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_13_112,refute_13_113]) ).

cnf(refute_13_115,plain,
    ( e20 = e22
    | e21 = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_13_34,refute_13_114]) ).

cnf(refute_13_116,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_13_19]) ).

cnf(refute_13_117,plain,
    ( e22 != op2(e23,e23)
    | op2(e21,e23) != e22
    | op2(e21,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).

cnf(refute_13_118,plain,
    ( e22 != op2(e23,e23)
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_13_92,refute_13_117]) ).

cnf(refute_13_119,plain,
    ( e22 != e20
    | op2(e23,e23) != e20
    | e22 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_13_120,plain,
    ( e22 != e20
    | e22 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_8,refute_13_119]) ).

cnf(refute_13_121,plain,
    ( e22 != e20
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_13_120,refute_13_118]) ).

cnf(refute_13_122,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_13_121,refute_13_116]) ).

cnf(refute_13_123,plain,
    ( e20 != e22
    | e22 = e20 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e20)),bind(Y,$fot(e22))]]) ).

cnf(refute_13_124,plain,
    e20 != e22,
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_13_123,refute_13_122]) ).

cnf(refute_13_125,plain,
    ( e21 = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_13_115,refute_13_124]) ).

cnf(refute_13_126,plain,
    ( op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_13_125,refute_13_105]) ).

cnf(refute_13_127,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(canonicalize,[],[normalize_13_20]) ).

cnf(refute_13_128,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(canonicalize,[],[normalize_13_21]) ).

cnf(refute_13_129,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(e21)]]) ).

cnf(refute_13_130,plain,
    ( op2(e20,e20) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_26,refute_13_129]) ).

cnf(refute_13_131,plain,
    ( e21 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_13_128,refute_13_130]) ).

cnf(refute_13_132,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(canonicalize,[],[normalize_13_22]) ).

cnf(refute_13_133,plain,
    ( e20 != e20
    | op2(e23,e23) != e20
    | op2(e23,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[1],$fot(e20)]]) ).

cnf(refute_13_134,plain,
    ( e20 != e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_8,refute_13_133]) ).

cnf(refute_13_135,plain,
    ( e20 != e20
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_134,refute_13_132]) ).

cnf(refute_13_136,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_13_137,plain,
    op2(e23,e20) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_13_136,refute_13_135]) ).

cnf(refute_13_138,plain,
    ( op2(e23,e20) != e22
    | op2(e23,e20) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(e23)]]) ).

cnf(refute_13_139,plain,
    ( op2(e23,e20) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_13_137,refute_13_138]) ).

cnf(refute_13_140,plain,
    ( e21 = e22
    | e23 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_13_131,refute_13_139]) ).

cnf(refute_13_141,plain,
    ( e23 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_13_140,refute_13_105]) ).

cnf(refute_13_142,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_13_23]) ).

cnf(refute_13_143,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_13_144,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_13_143,refute_13_142]) ).

cnf(refute_13_145,plain,
    ( op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_13_141,refute_13_144]) ).

cnf(refute_13_146,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(canonicalize,[],[normalize_13_24]) ).

cnf(refute_13_147,plain,
    ( op2(e21,e20) != e22
    | op2(e21,e23) != e22
    | op2(e21,e20) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_13_148,plain,
    ( op2(e21,e20) != e22
    | op2(e21,e20) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_13_92,refute_13_147]) ).

cnf(refute_13_149,plain,
    op2(e21,e20) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_13_148,refute_13_146]) ).

cnf(refute_13_150,plain,
    op2(e22,e20) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_13_145,refute_13_149]) ).

cnf(refute_13_151,plain,
    ( op2(e22,e20) != e22
    | op2(e22,e20) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e23) ),[0],$fot(e22)]]) ).

cnf(refute_13_152,plain,
    ( op2(e22,e20) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_13_150,refute_13_151]) ).

cnf(refute_13_153,plain,
    ( e22 = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_13_127,refute_13_152]) ).

cnf(refute_13_154,plain,
    h3(e10) = op2(e22,e22),
    inference(canonicalize,[],[normalize_13_26]) ).

cnf(refute_13_155,plain,
    ( h3(e10) != op2(e22,e22)
    | op2(e22,e22) = h3(e10) ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_13_156,plain,
    op2(e22,e22) = h3(e10),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e22)) )],[refute_13_154,refute_13_155]) ).

cnf(refute_13_157,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e22) != h3(e10)
    | h3(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e10))]]) ).

cnf(refute_13_158,plain,
    ( op2(e22,e22) != e23
    | h3(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e10)) )],[refute_13_156,refute_13_157]) ).

cnf(refute_13_159,plain,
    ( e22 = e23
    | h3(e10) = e23
    | op2(e22,e21) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_153,refute_13_158]) ).

cnf(refute_13_160,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(canonicalize,[],[normalize_13_27]) ).

cnf(refute_13_161,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_13_28]) ).

cnf(refute_13_162,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_13_29]) ).

cnf(refute_13_163,plain,
    ( op2(e20,e23) != e20
    | op2(e23,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_13_164,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_8,refute_13_163]) ).

cnf(refute_13_165,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_13_164,refute_13_162]) ).

cnf(refute_13_166,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_13_161,refute_13_165]) ).

cnf(refute_13_167,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(canonicalize,[],[normalize_13_30]) ).

cnf(refute_13_168,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_13_169,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_26,refute_13_168]) ).

cnf(refute_13_170,plain,
    e21 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_13_169,refute_13_167]) ).

cnf(refute_13_171,plain,
    ( op2(e20,e23) != e21
    | e21 = op2(e20,e23) ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e21))]]) ).

cnf(refute_13_172,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_13_171,refute_13_170]) ).

cnf(refute_13_173,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_13_166,refute_13_172]) ).

cnf(refute_13_174,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(canonicalize,[],[normalize_13_31]) ).

cnf(refute_13_175,plain,
    ( op2(e20,e23) != e22
    | op2(e21,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_13_176,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_13_92,refute_13_175]) ).

cnf(refute_13_177,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_13_176,refute_13_174]) ).

cnf(refute_13_178,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_13_173,refute_13_177]) ).

cnf(refute_13_179,plain,
    ( op2(e20,e23) != e21
    | op2(e20,e23) != e23
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(e23)]]) ).

cnf(refute_13_180,plain,
    ( op2(e20,e23) != e21
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_13_178,refute_13_179]) ).

cnf(refute_13_181,plain,
    ( e23 = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_13_160,refute_13_180]) ).

cnf(refute_13_182,plain,
    ( e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_13_181,refute_13_103]) ).

cnf(refute_13_183,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e20)]]) ).

cnf(refute_13_184,plain,
    ( op2(e23,e23) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_8,refute_13_183]) ).

cnf(refute_13_185,plain,
    ( e20 = e21
    | e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_182,refute_13_184]) ).

cnf(refute_13_186,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_13_32]) ).

cnf(refute_13_187,plain,
    ( e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_13_185,refute_13_186]) ).

cnf(refute_13_188,plain,
    ( e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_13_187,refute_13_107]) ).

cnf(refute_13_189,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_13_33]) ).

cnf(refute_13_190,plain,
    ( e23 != e21
    | e21 = e23 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).

cnf(refute_13_191,plain,
    e23 != e21,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_13_190,refute_13_189]) ).

cnf(refute_13_192,plain,
    op2(e22,e23) = e21,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_13_188,refute_13_191]) ).

cnf(refute_13_193,plain,
    ( op2(e22,e23) != e21
    | op2(e22,e23) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e23) ),[0],$fot(e21)]]) ).

cnf(refute_13_194,plain,
    ( op2(e22,e23) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_192,refute_13_193]) ).

cnf(refute_13_195,plain,
    ( e21 = e23
    | e22 = e23
    | h3(e10) = e23
    | op2(e22,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_13_159,refute_13_194]) ).

cnf(refute_13_196,plain,
    ( e22 = e23
    | h3(e10) = e23
    | op2(e22,e21) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_13_195,refute_13_189]) ).

cnf(refute_13_197,plain,
    ( h3(e10) = e23
    | op2(e22,e21) = e23 ),
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_13_196,refute_13_142]) ).

cnf(refute_13_198,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e23) = e22 ),
    inference(canonicalize,[],[normalize_13_34]) ).

cnf(refute_13_199,plain,
    ( h3(e10) != e23
    | op2(e22,e22) != h3(e10)
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e10)) ),[1],$fot(e23)]]) ).

cnf(refute_13_200,plain,
    ( h3(e10) != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e10)) )],[refute_13_156,refute_13_199]) ).

cnf(refute_13_201,plain,
    ( h3(e10) != e23
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_200,refute_13_198]) ).

cnf(refute_13_202,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(canonicalize,[],[normalize_13_35]) ).

cnf(refute_13_203,plain,
    ( e22 != op2(e22,e23)
    | op2(e21,e23) != e22
    | op2(e21,e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_13_204,plain,
    ( e22 != op2(e22,e23)
    | op2(e21,e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_13_92,refute_13_203]) ).

cnf(refute_13_205,plain,
    e22 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_13_204,refute_13_202]) ).

cnf(refute_13_206,plain,
    ( op2(e22,e23) != e22
    | e22 = op2(e22,e23) ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_13_207,plain,
    op2(e22,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_13_206,refute_13_205]) ).

cnf(refute_13_208,plain,
    h3(e10) != e23,
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_13_201,refute_13_207]) ).

cnf(refute_13_209,plain,
    op2(e22,e21) = e23,
    inference(resolve,[$cnf( $equal(h3(e10),e23) )],[refute_13_197,refute_13_208]) ).

cnf(refute_13_210,plain,
    ( op2(e22,e21) != e22
    | op2(e22,e21) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0],$fot(e23)]]) ).

cnf(refute_13_211,plain,
    ( op2(e22,e21) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_13_209,refute_13_210]) ).

cnf(refute_13_212,plain,
    ( e23 = e22
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_13_126,refute_13_211]) ).

cnf(refute_13_213,plain,
    op2(e23,e21) = e22,
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_13_212,refute_13_144]) ).

cnf(refute_13_214,plain,
    h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
    inference(canonicalize,[],[normalize_13_42]) ).

cnf(refute_13_215,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_13_44]) ).

cnf(refute_13_216,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_13_217,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_13_83,refute_13_216]) ).

cnf(refute_13_218,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_13_215,refute_13_217]) ).

cnf(refute_13_219,plain,
    op2(e23,h4(e11)) = op2(e23,h4(e11)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).

cnf(refute_13_220,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_221,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_219,refute_13_220]) ).

cnf(refute_13_222,plain,
    op2(e23,h4(e11)) = op2(e23,e21),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_218,refute_13_221]) ).

cnf(refute_13_223,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_13_45]) ).

cnf(refute_13_224,plain,
    op2(h4(e13),h4(e11)) = op2(h4(e13),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e11)))]]) ).

cnf(refute_13_225,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_226,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_224,refute_13_225]) ).

cnf(refute_13_227,plain,
    op2(h4(e13),h4(e11)) = op2(e23,h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_13_223,refute_13_226]) ).

cnf(refute_13_228,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_18:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e23,h4(e11)))),bind(Z,$fot(op2(e23,e21)))]]) ).

cnf(refute_13_229,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_227,refute_13_228]) ).

cnf(refute_13_230,plain,
    op2(h4(e13),h4(e11)) = op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,e21)) )],[refute_13_222,refute_13_229]) ).

cnf(refute_13_231,plain,
    ( h4(op1(e13,e11)) != op2(e23,e21)
    | op2(h4(e13),h4(e11)) != op2(e23,e21)
    | h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_13_232,plain,
    ( h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e23,e21)) )],[refute_13_230,refute_13_231]) ).

cnf(refute_13_233,plain,
    h4(op1(e13,e11)) != op2(e23,e21),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) )],[refute_13_232,refute_13_214]) ).

cnf(refute_13_234,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_13_46]) ).

cnf(refute_13_235,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(subst,[],[refute_13_18:[bind(X,$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_13_236,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_13_87,refute_13_235]) ).

cnf(refute_13_237,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_13_92,refute_13_236]) ).

cnf(refute_13_238,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_13_239,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),e22) )],[refute_13_237,refute_13_238]) ).

cnf(refute_13_240,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_13_234,refute_13_239]) ).

cnf(refute_13_241,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(canonicalize,[],[normalize_13_48]) ).

cnf(refute_13_242,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(canonicalize,[],[normalize_13_50]) ).

cnf(refute_13_243,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_13_52]) ).

cnf(refute_13_244,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_13_53]) ).

cnf(refute_13_245,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_13_246,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_13_244,refute_13_245]) ).

cnf(refute_13_247,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_13_248,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_13_249,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_13_247,refute_13_248]) ).

cnf(refute_13_250,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_246,refute_13_249]) ).

cnf(refute_13_251,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_13_252,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_13_253,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_13_251,refute_13_252]) ).

cnf(refute_13_254,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_246,refute_13_253]) ).

cnf(refute_13_255,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_13_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_13_256,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_13_254,refute_13_255]) ).

cnf(refute_13_257,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_13_250,refute_13_256]) ).

cnf(refute_13_258,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_13_259,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_13_257,refute_13_258]) ).

cnf(refute_13_260,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_13_243,refute_13_259]) ).

cnf(refute_13_261,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_13_262,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_13_260,refute_13_261]) ).

cnf(refute_13_263,plain,
    ( e11 != e11
    | op1(e10,e10) != e11
    | op1(e10,e10) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).

cnf(refute_13_264,plain,
    ( e11 != e11
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_13_262,refute_13_263]) ).

cnf(refute_13_265,plain,
    ( e11 != e11
    | op1(e10,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_13_264,refute_13_242]) ).

cnf(refute_13_266,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_13_267,plain,
    op1(e10,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_13_266,refute_13_265]) ).

cnf(refute_13_268,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_13_269,plain,
    ( op1(e10,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_13_267,refute_13_268]) ).

cnf(refute_13_270,plain,
    ( e10 = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_13_241,refute_13_269]) ).

cnf(refute_13_271,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    inference(canonicalize,[],[normalize_13_55]) ).

cnf(refute_13_272,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e10) = e11 ),
    inference(canonicalize,[],[normalize_13_56]) ).

cnf(refute_13_273,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(canonicalize,[],[normalize_13_58]) ).

cnf(refute_13_274,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_13_275,plain,
    ( e11 != op1(e11,e10)
    | op1(e10,e10) = op1(e11,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_13_262,refute_13_274]) ).

cnf(refute_13_276,plain,
    e11 != op1(e11,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_13_275,refute_13_273]) ).

cnf(refute_13_277,plain,
    ( op1(e11,e10) != e11
    | e11 = op1(e11,e10) ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(op1(e11,e10))),bind(Y,$fot(e11))]]) ).

cnf(refute_13_278,plain,
    op1(e11,e10) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e11,e10)) )],[refute_13_277,refute_13_276]) ).

cnf(refute_13_279,plain,
    op1(e11,e11) != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_13_272,refute_13_278]) ).

cnf(refute_13_280,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_13_271,refute_13_279]) ).

cnf(refute_13_281,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(canonicalize,[],[normalize_13_59]) ).

cnf(refute_13_282,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_13_60]) ).

cnf(refute_13_283,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_13_18:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_13_284,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_13_257,refute_13_283]) ).

cnf(refute_13_285,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_13_262,refute_13_284]) ).

cnf(refute_13_286,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_13_287,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_13_288,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_13_286,refute_13_287]) ).

cnf(refute_13_289,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_13_285,refute_13_288]) ).

cnf(refute_13_290,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_13_291,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_13_289,refute_13_290]) ).

cnf(refute_13_292,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_13_282,refute_13_291]) ).

cnf(refute_13_293,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_13_294,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_13_292,refute_13_293]) ).

cnf(refute_13_295,plain,
    ( op1(e11,e11) != e12
    | op1(e11,e13) != e12
    | op1(e11,e11) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_13_296,plain,
    ( op1(e11,e11) != e12
    | op1(e11,e11) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_13_294,refute_13_295]) ).

cnf(refute_13_297,plain,
    op1(e11,e11) != e12,
    inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_13_296,refute_13_281]) ).

cnf(refute_13_298,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_13_280,refute_13_297]) ).

cnf(refute_13_299,plain,
    ( op1(e11,e11) != e13
    | op1(e11,e13) = e11 ),
    inference(canonicalize,[],[normalize_13_61]) ).

cnf(refute_13_300,plain,
    ( op1(e11,e13) != e11
    | op1(e11,e13) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e11) ),[0],$fot(e12)]]) ).

cnf(refute_13_301,plain,
    ( op1(e11,e13) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_13_294,refute_13_300]) ).

cnf(refute_13_302,plain,
    ( op1(e11,e11) != e13
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_13_299,refute_13_301]) ).

cnf(refute_13_303,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_13_63]) ).

cnf(refute_13_304,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_13_305,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_13_304,refute_13_303]) ).

cnf(refute_13_306,plain,
    op1(e11,e11) != e13,
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_13_302,refute_13_305]) ).

cnf(refute_13_307,plain,
    op1(e11,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_13_298,refute_13_306]) ).

cnf(refute_13_308,plain,
    ( op1(e11,e11) != e11
    | op1(e11,e11) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e11)]]) ).

cnf(refute_13_309,plain,
    ( op1(e11,e11) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_13_307,refute_13_308]) ).

cnf(refute_13_310,plain,
    ( e10 = e12
    | e11 = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_13_270,refute_13_309]) ).

cnf(refute_13_311,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_13_64]) ).

cnf(refute_13_312,plain,
    ( e12 != op1(e13,e13)
    | op1(e11,e13) != e12
    | op1(e11,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).

cnf(refute_13_313,plain,
    ( e12 != op1(e13,e13)
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_13_294,refute_13_312]) ).

cnf(refute_13_314,plain,
    ( e12 != e10
    | op1(e13,e13) != e10
    | e12 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_13_315,plain,
    ( e12 != e10
    | e12 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_246,refute_13_314]) ).

cnf(refute_13_316,plain,
    ( e12 != e10
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_13_315,refute_13_313]) ).

cnf(refute_13_317,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_13_316,refute_13_311]) ).

cnf(refute_13_318,plain,
    ( e10 != e12
    | e12 = e10 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e10)),bind(Y,$fot(e12))]]) ).

cnf(refute_13_319,plain,
    e10 != e12,
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_13_318,refute_13_317]) ).

cnf(refute_13_320,plain,
    ( e11 = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_13_310,refute_13_319]) ).

cnf(refute_13_321,plain,
    ( op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_13_320,refute_13_303]) ).

cnf(refute_13_322,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    inference(canonicalize,[],[normalize_13_65]) ).

cnf(refute_13_323,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(canonicalize,[],[normalize_13_66]) ).

cnf(refute_13_324,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e10) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e11)]]) ).

cnf(refute_13_325,plain,
    ( op1(e10,e10) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_13_262,refute_13_324]) ).

cnf(refute_13_326,plain,
    ( e11 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_13_323,refute_13_325]) ).

cnf(refute_13_327,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(canonicalize,[],[normalize_13_67]) ).

cnf(refute_13_328,plain,
    ( e10 != e10
    | op1(e13,e13) != e10
    | op1(e13,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[1],$fot(e10)]]) ).

cnf(refute_13_329,plain,
    ( e10 != e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_246,refute_13_328]) ).

cnf(refute_13_330,plain,
    ( e10 != e10
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_329,refute_13_327]) ).

cnf(refute_13_331,plain,
    e10 = e10,
    introduced(tautology,[refl,[$fot(e10)]]) ).

cnf(refute_13_332,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(e10,e10) )],[refute_13_331,refute_13_330]) ).

cnf(refute_13_333,plain,
    ( op1(e13,e10) != e12
    | op1(e13,e10) != e13
    | e13 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[0],$fot(e13)]]) ).

cnf(refute_13_334,plain,
    ( op1(e13,e10) != e12
    | e13 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_13_332,refute_13_333]) ).

cnf(refute_13_335,plain,
    ( e11 = e12
    | e13 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_13_326,refute_13_334]) ).

cnf(refute_13_336,plain,
    ( e13 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_13_335,refute_13_303]) ).

cnf(refute_13_337,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_13_68]) ).

cnf(refute_13_338,plain,
    ( e13 != e12
    | e12 = e13 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).

cnf(refute_13_339,plain,
    e13 != e12,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_13_338,refute_13_337]) ).

cnf(refute_13_340,plain,
    ( op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e12) )],[refute_13_336,refute_13_339]) ).

cnf(refute_13_341,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(canonicalize,[],[normalize_13_69]) ).

cnf(refute_13_342,plain,
    ( op1(e11,e10) != e12
    | op1(e11,e13) != e12
    | op1(e11,e10) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_13_343,plain,
    ( op1(e11,e10) != e12
    | op1(e11,e10) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_13_294,refute_13_342]) ).

cnf(refute_13_344,plain,
    op1(e11,e10) != e12,
    inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_13_343,refute_13_341]) ).

cnf(refute_13_345,plain,
    op1(e12,e10) = e12,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_13_340,refute_13_344]) ).

cnf(refute_13_346,plain,
    ( op1(e12,e10) != e12
    | op1(e12,e10) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e13) ),[0],$fot(e12)]]) ).

cnf(refute_13_347,plain,
    ( op1(e12,e10) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_13_345,refute_13_346]) ).

cnf(refute_13_348,plain,
    ( e12 = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_13_322,refute_13_347]) ).

cnf(refute_13_349,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(canonicalize,[],[normalize_13_70]) ).

cnf(refute_13_350,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_13_71]) ).

cnf(refute_13_351,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_13_72]) ).

cnf(refute_13_352,plain,
    ( op1(e10,e13) != e10
    | op1(e13,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_13_353,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_246,refute_13_352]) ).

cnf(refute_13_354,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_13_353,refute_13_351]) ).

cnf(refute_13_355,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_13_350,refute_13_354]) ).

cnf(refute_13_356,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_13_73]) ).

cnf(refute_13_357,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_13_358,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_13_262,refute_13_357]) ).

cnf(refute_13_359,plain,
    e11 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_13_358,refute_13_356]) ).

cnf(refute_13_360,plain,
    ( op1(e10,e13) != e11
    | e11 = op1(e10,e13) ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e11))]]) ).

cnf(refute_13_361,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_13_360,refute_13_359]) ).

cnf(refute_13_362,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_13_355,refute_13_361]) ).

cnf(refute_13_363,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(canonicalize,[],[normalize_13_74]) ).

cnf(refute_13_364,plain,
    ( op1(e10,e13) != e12
    | op1(e11,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_13_365,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_13_294,refute_13_364]) ).

cnf(refute_13_366,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_13_365,refute_13_363]) ).

cnf(refute_13_367,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_13_362,refute_13_366]) ).

cnf(refute_13_368,plain,
    ( op1(e10,e13) != e11
    | op1(e10,e13) != e13
    | e13 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[0],$fot(e13)]]) ).

cnf(refute_13_369,plain,
    ( op1(e10,e13) != e11
    | e13 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_13_367,refute_13_368]) ).

cnf(refute_13_370,plain,
    ( e13 = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_13_349,refute_13_369]) ).

cnf(refute_13_371,plain,
    ( e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_13_370,refute_13_301]) ).

cnf(refute_13_372,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e10)]]) ).

cnf(refute_13_373,plain,
    ( op1(e13,e13) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_246,refute_13_372]) ).

cnf(refute_13_374,plain,
    ( e10 = e11
    | e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_371,refute_13_373]) ).

cnf(refute_13_375,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_13_75]) ).

cnf(refute_13_376,plain,
    ( e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_13_374,refute_13_375]) ).

cnf(refute_13_377,plain,
    ( e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_13_376,refute_13_305]) ).

cnf(refute_13_378,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_13_76]) ).

cnf(refute_13_379,plain,
    ( e13 != e11
    | e11 = e13 ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).

cnf(refute_13_380,plain,
    e13 != e11,
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_13_379,refute_13_378]) ).

cnf(refute_13_381,plain,
    op1(e12,e13) = e11,
    inference(resolve,[$cnf( $equal(e13,e11) )],[refute_13_377,refute_13_380]) ).

cnf(refute_13_382,plain,
    ( op1(e12,e13) != e11
    | op1(e12,e13) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e13) ),[0],$fot(e11)]]) ).

cnf(refute_13_383,plain,
    ( op1(e12,e13) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_13_381,refute_13_382]) ).

cnf(refute_13_384,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_13_348,refute_13_383]) ).

cnf(refute_13_385,plain,
    ( e12 = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_13_384,refute_13_378]) ).

cnf(refute_13_386,plain,
    ( op1(e12,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_13_385,refute_13_337]) ).

cnf(refute_13_387,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(canonicalize,[],[normalize_13_77]) ).

cnf(refute_13_388,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(canonicalize,[],[normalize_13_78]) ).

cnf(refute_13_389,plain,
    ( e12 != op1(e12,e13)
    | op1(e11,e13) != e12
    | op1(e11,e13) = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).

cnf(refute_13_390,plain,
    ( e12 != op1(e12,e13)
    | op1(e11,e13) = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_13_294,refute_13_389]) ).

cnf(refute_13_391,plain,
    e12 != op1(e12,e13),
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_13_390,refute_13_388]) ).

cnf(refute_13_392,plain,
    ( op1(e12,e13) != e12
    | e12 = op1(e12,e13) ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_13_393,plain,
    op1(e12,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_13_392,refute_13_391]) ).

cnf(refute_13_394,plain,
    op1(e12,e12) != e13,
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_13_387,refute_13_393]) ).

cnf(refute_13_395,plain,
    op1(e12,e11) = e13,
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_386,refute_13_394]) ).

cnf(refute_13_396,plain,
    ( op1(e12,e11) != e12
    | op1(e12,e11) != e13
    | e13 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e13)]]) ).

cnf(refute_13_397,plain,
    ( op1(e12,e11) != e12
    | e13 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_13_395,refute_13_396]) ).

cnf(refute_13_398,plain,
    ( e13 = e12
    | op1(e13,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_13_321,refute_13_397]) ).

cnf(refute_13_399,plain,
    op1(e13,e11) = e12,
    inference(resolve,[$cnf( $equal(e13,e12) )],[refute_13_398,refute_13_339]) ).

cnf(refute_13_400,plain,
    h4(op1(e13,e11)) = h4(op1(e13,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e13,e11)))]]) ).

cnf(refute_13_401,plain,
    ( h4(op1(e13,e11)) != h4(op1(e13,e11))
    | op1(e13,e11) != e12
    | h4(op1(e13,e11)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) ),[1,0],$fot(e12)]]) ).

cnf(refute_13_402,plain,
    ( op1(e13,e11) != e12
    | h4(op1(e13,e11)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) )],[refute_13_400,refute_13_401]) ).

cnf(refute_13_403,plain,
    h4(op1(e13,e11)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_13_399,refute_13_402]) ).

cnf(refute_13_404,plain,
    ( h4(e12) != e22
    | h4(op1(e13,e11)) != h4(e12)
    | h4(op1(e13,e11)) = e22 ),
    inference(subst,[],[refute_13_18:[bind(X,$fot(h4(op1(e13,e11)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_13_405,plain,
    ( h4(e12) != e22
    | h4(op1(e13,e11)) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(e12)) )],[refute_13_403,refute_13_404]) ).

cnf(refute_13_406,plain,
    h4(op1(e13,e11)) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_13_240,refute_13_405]) ).

cnf(refute_13_407,plain,
    ( e22 != op2(e23,e21)
    | h4(op1(e13,e11)) != e22
    | h4(op1(e13,e11)) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_13_408,plain,
    ( e22 != op2(e23,e21)
    | h4(op1(e13,e11)) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e22) )],[refute_13_406,refute_13_407]) ).

cnf(refute_13_409,plain,
    e22 != op2(e23,e21),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e23,e21)) )],[refute_13_408,refute_13_233]) ).

cnf(refute_13_410,plain,
    ( op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    inference(subst,[],[refute_13_6:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e22))]]) ).

cnf(refute_13_411,plain,
    op2(e23,e21) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_13_410,refute_13_409]) ).

cnf(refute_13_412,plain,
    $false,
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_13_213,refute_13_411]) ).

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,
    ( 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_1,plain,
    ( h1(e10) = op2(e20,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20)
    & h1(e13) = e20 ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_14_2,plain,
    h1(e13) = e20,
    inference(conjunct,[],[normalize_14_1]) ).

fof(normalize_14_3,plain,
    ( h2(e10) = op2(e21,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),e21)
    & h2(e13) = e21 ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_14_4,plain,
    h2(e13) = e21,
    inference(conjunct,[],[normalize_14_3]) ).

fof(normalize_14_5,plain,
    ( h3(e10) = op2(e22,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22)
    & h3(e13) = e22 ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_14_6,plain,
    h3(e13) = e22,
    inference(conjunct,[],[normalize_14_5]) ).

fof(normalize_14_7,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_0,normalize_14_2,normalize_14_4,normalize_14_6]) ).

fof(normalize_14_8,plain,
    h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
    inference(conjunct,[],[normalize_14_7]) ).

fof(normalize_14_9,plain,
    ( h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_14_10,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_14_9]) ).

fof(normalize_14_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_14_12,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_14_11]) ).

fof(normalize_14_13,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_14_11]) ).

fof(normalize_14_14,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_14_11]) ).

fof(normalize_14_15,plain,
    h4(e13) = e23,
    inference(conjunct,[],[normalize_14_9]) ).

fof(normalize_14_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_14_17,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    inference(conjunct,[],[normalize_14_16]) ).

fof(normalize_14_18,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) != e20
        & op2(e20,e21) = e21
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e22) = e22
        & op2(e22,e20) = e22 )
      | ( op2(e20,e20) != e20
        & op2(e20,e23) = e23
        & op2(e23,e20) = e23 )
      | ( op2(e21,e21) != e21
        & op2(e20,e21) = e20
        & op2(e21,e20) = e20 )
      | ( op2(e21,e21) != e21
        & op2(e21,e22) = e22
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e23) = e23
        & op2(e23,e21) = e23 )
      | ( op2(e22,e22) != e22
        & op2(e20,e22) = e20
        & op2(e22,e20) = e20 )
      | ( op2(e22,e22) != e22
        & op2(e21,e22) = e21
        & op2(e22,e21) = e21 )
      | ( op2(e22,e22) != e22
        & op2(e22,e23) = e23
        & op2(e23,e22) = e23 )
      | ( op2(e23,e23) != e23
        & op2(e20,e23) = e20
        & op2(e23,e20) = e20 )
      | ( op2(e23,e23) != e23
        & op2(e21,e23) = e21
        & op2(e23,e21) = e21 )
      | ( op2(e23,e23) != e23
        & op2(e22,e23) = e22
        & op2(e23,e22) = e22 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_14_19,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(conjunct,[],[normalize_14_18]) ).

fof(normalize_14_20,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_14_21,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_14_20]) ).

fof(normalize_14_22,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_14_20]) ).

fof(normalize_14_23,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(conjunct,[],[normalize_14_16]) ).

fof(normalize_14_24,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(conjunct,[],[normalize_14_18]) ).

fof(normalize_14_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_14_26,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(conjunct,[],[normalize_14_25]) ).

fof(normalize_14_27,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(conjunct,[],[normalize_14_1]) ).

fof(normalize_14_28,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(conjunct,[],[normalize_14_18]) ).

fof(normalize_14_29,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_30,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(conjunct,[],[normalize_14_29]) ).

fof(normalize_14_31,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(conjunct,[],[normalize_14_29]) ).

fof(normalize_14_32,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e23) = e21 ),
    inference(conjunct,[],[normalize_14_18]) ).

fof(normalize_14_33,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_14_20]) ).

fof(normalize_14_34,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_14_29]) ).

fof(normalize_14_35,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(conjunct,[],[normalize_14_16]) ).

fof(normalize_14_36,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(conjunct,[],[normalize_14_16]) ).

fof(normalize_14_37,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_14_20]) ).

fof(normalize_14_38,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(conjunct,[],[normalize_14_29]) ).

fof(normalize_14_39,plain,
    h3(e10) = op2(e22,e22),
    inference(conjunct,[],[normalize_14_5]) ).

fof(normalize_14_40,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(conjunct,[],[normalize_14_16]) ).

fof(normalize_14_41,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_14_25]) ).

fof(normalize_14_42,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_14_29]) ).

fof(normalize_14_43,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(conjunct,[],[normalize_14_29]) ).

fof(normalize_14_44,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(conjunct,[],[normalize_14_29]) ).

fof(normalize_14_45,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e23) = e22 ),
    inference(conjunct,[],[normalize_14_18]) ).

fof(normalize_14_46,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(conjunct,[],[normalize_14_29]) ).

fof(normalize_14_47,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_14_9]) ).

fof(normalize_14_48,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_49,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    inference(conjunct,[],[normalize_14_48]) ).

fof(normalize_14_50,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) != e10
        & op1(e10,e11) = e11
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e12) = e12
        & op1(e12,e10) = e12 )
      | ( op1(e10,e10) != e10
        & op1(e10,e13) = e13
        & op1(e13,e10) = e13 )
      | ( op1(e11,e11) != e11
        & op1(e10,e11) = e10
        & op1(e11,e10) = e10 )
      | ( op1(e11,e11) != e11
        & op1(e11,e12) = e12
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e13) = e13
        & op1(e13,e11) = e13 )
      | ( op1(e12,e12) != e12
        & op1(e10,e12) = e10
        & op1(e12,e10) = e10 )
      | ( op1(e12,e12) != e12
        & op1(e11,e12) = e11
        & op1(e12,e11) = e11 )
      | ( op1(e12,e12) != e12
        & op1(e12,e13) = e13
        & op1(e13,e12) = e13 )
      | ( op1(e13,e13) != e13
        & op1(e10,e13) = e10
        & op1(e13,e10) = e10 )
      | ( op1(e13,e13) != e13
        & op1(e11,e13) = e11
        & op1(e13,e11) = e11 )
      | ( op1(e13,e13) != e13
        & op1(e12,e13) = e12
        & op1(e13,e12) = e12 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_14_51,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(conjunct,[],[normalize_14_50]) ).

fof(normalize_14_52,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_14_53,plain,
    e10 = op1(e13,e13),
    inference(conjunct,[],[normalize_14_52]) ).

fof(normalize_14_54,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_14_55,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_14_54]) ).

fof(normalize_14_56,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_14_54]) ).

fof(normalize_14_57,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(conjunct,[],[normalize_14_48]) ).

fof(normalize_14_58,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(conjunct,[],[normalize_14_50]) ).

fof(normalize_14_59,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(conjunct,[],[normalize_14_52]) ).

fof(normalize_14_60,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_14_61,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    inference(conjunct,[],[normalize_14_60]) ).

fof(normalize_14_62,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e10) = e11 ),
    inference(conjunct,[],[normalize_14_50]) ).

fof(normalize_14_63,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_64,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(conjunct,[],[normalize_14_63]) ).

fof(normalize_14_65,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(conjunct,[],[normalize_14_63]) ).

fof(normalize_14_66,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(conjunct,[],[normalize_14_52]) ).

fof(normalize_14_67,plain,
    ( op1(e11,e11) != e13
    | op1(e11,e13) = e11 ),
    inference(conjunct,[],[normalize_14_50]) ).

fof(normalize_14_68,plain,
    e11 != e12,
    inference(conjunct,[],[normalize_14_54]) ).

fof(normalize_14_69,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_14_63]) ).

fof(normalize_14_70,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    inference(conjunct,[],[normalize_14_48]) ).

fof(normalize_14_71,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(conjunct,[],[normalize_14_48]) ).

fof(normalize_14_72,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_14_54]) ).

fof(normalize_14_73,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(conjunct,[],[normalize_14_63]) ).

fof(normalize_14_74,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(conjunct,[],[normalize_14_48]) ).

fof(normalize_14_75,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_14_60]) ).

fof(normalize_14_76,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_14_63]) ).

fof(normalize_14_77,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_14_63]) ).

fof(normalize_14_78,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(conjunct,[],[normalize_14_63]) ).

fof(normalize_14_79,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(conjunct,[],[normalize_14_50]) ).

fof(normalize_14_80,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(conjunct,[],[normalize_14_63]) ).

cnf(refute_14_0,plain,
    h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
    inference(canonicalize,[],[normalize_14_8]) ).

cnf(refute_14_1,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_14_10]) ).

cnf(refute_14_2,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_14_12]) ).

cnf(refute_14_3,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_14_13]) ).

cnf(refute_14_4,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_14_14]) ).

cnf(refute_14_5,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_14_6,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_14_7,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_14_5,refute_14_6]) ).

cnf(refute_14_8,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_14_9,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_14_4,refute_14_8]) ).

cnf(refute_14_10,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_14_11,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_14_12,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_14_10,refute_14_11]) ).

cnf(refute_14_13,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_9,refute_14_12]) ).

cnf(refute_14_14,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_14_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_14_16,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_14_14,refute_14_15]) ).

cnf(refute_14_17,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_9,refute_14_16]) ).

cnf(refute_14_18,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_14_19,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_7,refute_14_18]) ).

cnf(refute_14_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_14_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_14_21,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_14_17,refute_14_20]) ).

cnf(refute_14_22,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_14_13,refute_14_21]) ).

cnf(refute_14_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_14_24,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_14_22,refute_14_23]) ).

cnf(refute_14_25,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_14_3,refute_14_24]) ).

cnf(refute_14_26,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_14_27,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_14_25,refute_14_26]) ).

cnf(refute_14_28,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_14_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_14_29,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_14_22,refute_14_28]) ).

cnf(refute_14_30,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_14_27,refute_14_29]) ).

cnf(refute_14_31,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_14_32,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_14_33,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_14_31,refute_14_32]) ).

cnf(refute_14_34,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_14_30,refute_14_33]) ).

cnf(refute_14_35,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_14_36,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_14_34,refute_14_35]) ).

cnf(refute_14_37,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_14_2,refute_14_36]) ).

cnf(refute_14_38,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_14_39,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_14_37,refute_14_38]) ).

cnf(refute_14_40,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(subst,[],[refute_14_19:[bind(X,$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_14_41,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_14_34,refute_14_40]) ).

cnf(refute_14_42,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_14_39,refute_14_41]) ).

cnf(refute_14_43,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_14_44,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),e22) )],[refute_14_42,refute_14_43]) ).

cnf(refute_14_45,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_14_1,refute_14_44]) ).

cnf(refute_14_46,plain,
    op2(e23,h4(e12)) = op2(e23,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e12)))]]) ).

cnf(refute_14_47,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_48,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_46,refute_14_47]) ).

cnf(refute_14_49,plain,
    op2(e23,h4(e12)) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_45,refute_14_48]) ).

cnf(refute_14_50,plain,
    h4(e13) = e23,
    inference(canonicalize,[],[normalize_14_15]) ).

cnf(refute_14_51,plain,
    op2(h4(e13),h4(e12)) = op2(h4(e13),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e12)))]]) ).

cnf(refute_14_52,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_53,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_51,refute_14_52]) ).

cnf(refute_14_54,plain,
    op2(h4(e13),h4(e12)) = op2(e23,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_14_50,refute_14_53]) ).

cnf(refute_14_55,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_19:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e23,h4(e12)))),bind(Z,$fot(op2(e23,e22)))]]) ).

cnf(refute_14_56,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_54,refute_14_55]) ).

cnf(refute_14_57,plain,
    op2(h4(e13),h4(e12)) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,e22)) )],[refute_14_49,refute_14_56]) ).

cnf(refute_14_58,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_59,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_57,refute_14_58]) ).

cnf(refute_14_60,plain,
    h4(op1(e13,e12)) != op2(e23,e22),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) )],[refute_14_59,refute_14_0]) ).

cnf(refute_14_61,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    inference(canonicalize,[],[normalize_14_17]) ).

cnf(refute_14_62,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(canonicalize,[],[normalize_14_19]) ).

cnf(refute_14_63,plain,
    ( e20 != e20
    | op2(e23,e23) != e20
    | op2(e23,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[1],$fot(e20)]]) ).

cnf(refute_14_64,plain,
    ( e20 != e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_9,refute_14_63]) ).

cnf(refute_14_65,plain,
    ( e20 != e20
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_62]) ).

cnf(refute_14_66,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_14_67,plain,
    op2(e23,e20) = e23,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_14_66,refute_14_65]) ).

cnf(refute_14_68,plain,
    ( op2(e23,e20) != e21
    | op2(e23,e20) != e23
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e21) ),[0],$fot(e23)]]) ).

cnf(refute_14_69,plain,
    ( op2(e23,e20) != e21
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_14_67,refute_14_68]) ).

cnf(refute_14_70,plain,
    ( e23 = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_14_61,refute_14_69]) ).

cnf(refute_14_71,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e20)]]) ).

cnf(refute_14_72,plain,
    ( op2(e23,e23) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_9,refute_14_71]) ).

cnf(refute_14_73,plain,
    ( e20 = e21
    | e23 = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_70,refute_14_72]) ).

cnf(refute_14_74,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_14_21]) ).

cnf(refute_14_75,plain,
    ( e23 = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_14_73,refute_14_74]) ).

cnf(refute_14_76,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_14_22]) ).

cnf(refute_14_77,plain,
    ( e23 != e21
    | e21 = e23 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).

cnf(refute_14_78,plain,
    e23 != e21,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_14_77,refute_14_76]) ).

cnf(refute_14_79,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e22) = e21 ),
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_14_75,refute_14_78]) ).

cnf(refute_14_80,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(canonicalize,[],[normalize_14_23]) ).

cnf(refute_14_81,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(canonicalize,[],[normalize_14_24]) ).

cnf(refute_14_82,plain,
    ( e21 != e21
    | op2(e20,e20) != e21
    | op2(e20,e20) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(e21)]]) ).

cnf(refute_14_83,plain,
    ( e21 != e21
    | op2(e20,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_14_27,refute_14_82]) ).

cnf(refute_14_84,plain,
    ( e21 != e21
    | op2(e20,e21) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_14_83,refute_14_81]) ).

cnf(refute_14_85,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_14_86,plain,
    op2(e20,e21) = e20,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_14_85,refute_14_84]) ).

cnf(refute_14_87,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(e20)]]) ).

cnf(refute_14_88,plain,
    ( op2(e20,e21) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_14_86,refute_14_87]) ).

cnf(refute_14_89,plain,
    ( e20 = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_14_80,refute_14_88]) ).

cnf(refute_14_90,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(canonicalize,[],[normalize_14_26]) ).

cnf(refute_14_91,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(canonicalize,[],[normalize_14_27]) ).

cnf(refute_14_92,plain,
    op2(e21,op2(e20,e20)) = op2(e21,op2(e20,e20)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e20)))]]) ).

cnf(refute_14_93,plain,
    ( op2(e20,e20) != e21
    | op2(e21,op2(e20,e20)) != op2(e21,op2(e20,e20))
    | op2(e21,op2(e20,e20)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,op2(e20,e20))) ),[1,1],$fot(e21)]]) ).

cnf(refute_14_94,plain,
    ( op2(e20,e20) != e21
    | op2(e21,op2(e20,e20)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,op2(e20,e20))) )],[refute_14_92,refute_14_93]) ).

cnf(refute_14_95,plain,
    op2(e21,op2(e20,e20)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_14_27,refute_14_94]) ).

cnf(refute_14_96,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
    introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).

cnf(refute_14_97,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(e21)]]) ).

cnf(refute_14_98,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_14_96,refute_14_97]) ).

cnf(refute_14_99,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(e21,op2(e20,e20)),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_14_27,refute_14_98]) ).

cnf(refute_14_100,plain,
    ( op2(e21,op2(e20,e20)) != op2(e21,e21)
    | op2(op2(e20,e20),op2(e20,e20)) != op2(e21,op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21) ),
    inference(subst,[],[refute_14_19:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(e21,op2(e20,e20)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_14_101,plain,
    ( op2(e21,op2(e20,e20)) != op2(e21,e21)
    | op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(e21,op2(e20,e20))) )],[refute_14_99,refute_14_100]) ).

cnf(refute_14_102,plain,
    op2(op2(e20,e20),op2(e20,e20)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,e21)) )],[refute_14_95,refute_14_101]) ).

cnf(refute_14_103,plain,
    ( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
    | op2(op2(e20,e20),op2(e20,e20)) != op2(e21,e21)
    | h1(e11) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e21)) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).

cnf(refute_14_104,plain,
    ( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
    | h1(e11) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(e21,e21)) )],[refute_14_102,refute_14_103]) ).

cnf(refute_14_105,plain,
    h1(e11) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_14_91,refute_14_104]) ).

cnf(refute_14_106,plain,
    ( h1(e11) != op2(e21,e21)
    | op2(e21,e21) = h1(e11) ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_14_107,plain,
    op2(e21,e21) = h1(e11),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e21)) )],[refute_14_105,refute_14_106]) ).

cnf(refute_14_108,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h1(e11))]]) ).

cnf(refute_14_109,plain,
    ( op2(e21,e21) != e20
    | h1(e11) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_14_107,refute_14_108]) ).

cnf(refute_14_110,plain,
    ( h1(e11) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_14_90,refute_14_109]) ).

cnf(refute_14_111,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h1(e11))]]) ).

cnf(refute_14_112,plain,
    ( op2(e21,e21) != e21
    | h1(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_14_107,refute_14_111]) ).

cnf(refute_14_113,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_14_110,refute_14_112]) ).

cnf(refute_14_114,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h1(e11))]]) ).

cnf(refute_14_115,plain,
    ( op2(e21,e21) != e22
    | h1(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_14_107,refute_14_114]) ).

cnf(refute_14_116,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_14_113,refute_14_115]) ).

cnf(refute_14_117,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h1(e11)
    | h1(e11) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h1(e11))]]) ).

cnf(refute_14_118,plain,
    ( op2(e21,e21) != e23
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_14_107,refute_14_117]) ).

cnf(refute_14_119,plain,
    ( h1(e11) = e20
    | h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_14_116,refute_14_118]) ).

cnf(refute_14_120,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(canonicalize,[],[normalize_14_28]) ).

cnf(refute_14_121,plain,
    ( h1(e11) != e20
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(e20)]]) ).

cnf(refute_14_122,plain,
    ( h1(e11) != e20
    | op2(e21,e21) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_14_107,refute_14_121]) ).

cnf(refute_14_123,plain,
    ( h1(e11) != e20
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_14_122,refute_14_120]) ).

cnf(refute_14_124,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(canonicalize,[],[normalize_14_30]) ).

cnf(refute_14_125,plain,
    ( e21 != op2(e21,e20)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_14_126,plain,
    ( e21 != op2(e21,e20)
    | op2(e20,e20) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_14_27,refute_14_125]) ).

cnf(refute_14_127,plain,
    e21 != op2(e21,e20),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_14_126,refute_14_124]) ).

cnf(refute_14_128,plain,
    ( op2(e21,e20) != e21
    | e21 = op2(e21,e20) ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(op2(e21,e20))),bind(Y,$fot(e21))]]) ).

cnf(refute_14_129,plain,
    op2(e21,e20) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_14_128,refute_14_127]) ).

cnf(refute_14_130,plain,
    h1(e11) != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_14_123,refute_14_129]) ).

cnf(refute_14_131,plain,
    ( h1(e11) = e21
    | h1(e11) = e22
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_14_119,refute_14_130]) ).

cnf(refute_14_132,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(canonicalize,[],[normalize_14_31]) ).

cnf(refute_14_133,plain,
    ( h1(e11) != op2(e21,e23)
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(op2(e21,e23))]]) ).

cnf(refute_14_134,plain,
    ( h1(e11) != op2(e21,e23)
    | op2(e21,e21) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_14_107,refute_14_133]) ).

cnf(refute_14_135,plain,
    ( h1(e11) != e22
    | op2(e21,e23) != e22
    | h1(e11) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_14_136,plain,
    ( h1(e11) != e22
    | h1(e11) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_14_39,refute_14_135]) ).

cnf(refute_14_137,plain,
    ( h1(e11) != e22
    | op2(e21,e21) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e23)) )],[refute_14_136,refute_14_134]) ).

cnf(refute_14_138,plain,
    h1(e11) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_14_137,refute_14_132]) ).

cnf(refute_14_139,plain,
    ( h1(e11) = e21
    | h1(e11) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_14_131,refute_14_138]) ).

cnf(refute_14_140,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e23) = e21 ),
    inference(canonicalize,[],[normalize_14_32]) ).

cnf(refute_14_141,plain,
    ( h1(e11) != e23
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h1(e11)) ),[1],$fot(e23)]]) ).

cnf(refute_14_142,plain,
    ( h1(e11) != e23
    | op2(e21,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_14_107,refute_14_141]) ).

cnf(refute_14_143,plain,
    ( h1(e11) != e23
    | op2(e21,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_14_142,refute_14_140]) ).

cnf(refute_14_144,plain,
    ( op2(e21,e23) != e21
    | op2(e21,e23) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e22)]]) ).

cnf(refute_14_145,plain,
    ( op2(e21,e23) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_14_39,refute_14_144]) ).

cnf(refute_14_146,plain,
    ( h1(e11) != e23
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_14_143,refute_14_145]) ).

cnf(refute_14_147,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_14_33]) ).

cnf(refute_14_148,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_14_149,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_14_148,refute_14_147]) ).

cnf(refute_14_150,plain,
    h1(e11) != e23,
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_14_146,refute_14_149]) ).

cnf(refute_14_151,plain,
    h1(e11) = e21,
    inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_14_139,refute_14_150]) ).

cnf(refute_14_152,plain,
    ( h1(e11) != e21
    | op2(e21,e21) != h1(e11)
    | op2(e21,e21) = e21 ),
    inference(subst,[],[refute_14_19:[bind(X,$fot(op2(e21,e21))),bind(Y,$fot(h1(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_14_153,plain,
    ( h1(e11) != e21
    | op2(e21,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e11)) )],[refute_14_107,refute_14_152]) ).

cnf(refute_14_154,plain,
    op2(e21,e21) = e21,
    inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_14_151,refute_14_153]) ).

cnf(refute_14_155,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e21) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(e21)]]) ).

cnf(refute_14_156,plain,
    ( op2(e21,e21) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_14_154,refute_14_155]) ).

cnf(refute_14_157,plain,
    ( e20 = e22
    | e21 = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_14_89,refute_14_156]) ).

cnf(refute_14_158,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_14_34]) ).

cnf(refute_14_159,plain,
    ( e22 != op2(e23,e23)
    | op2(e21,e23) != e22
    | op2(e21,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).

cnf(refute_14_160,plain,
    ( e22 != op2(e23,e23)
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_14_39,refute_14_159]) ).

cnf(refute_14_161,plain,
    ( e22 != e20
    | op2(e23,e23) != e20
    | e22 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_14_162,plain,
    ( e22 != e20
    | e22 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_9,refute_14_161]) ).

cnf(refute_14_163,plain,
    ( e22 != e20
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_14_162,refute_14_160]) ).

cnf(refute_14_164,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_14_163,refute_14_158]) ).

cnf(refute_14_165,plain,
    ( e20 != e22
    | e22 = e20 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e20)),bind(Y,$fot(e22))]]) ).

cnf(refute_14_166,plain,
    e20 != e22,
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_14_165,refute_14_164]) ).

cnf(refute_14_167,plain,
    ( e21 = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_14_157,refute_14_166]) ).

cnf(refute_14_168,plain,
    ( op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_14_167,refute_14_147]) ).

cnf(refute_14_169,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(canonicalize,[],[normalize_14_35]) ).

cnf(refute_14_170,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(canonicalize,[],[normalize_14_36]) ).

cnf(refute_14_171,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(e21)]]) ).

cnf(refute_14_172,plain,
    ( op2(e20,e20) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_14_27,refute_14_171]) ).

cnf(refute_14_173,plain,
    ( e21 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_14_170,refute_14_172]) ).

cnf(refute_14_174,plain,
    ( op2(e23,e20) != e22
    | op2(e23,e20) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(e23)]]) ).

cnf(refute_14_175,plain,
    ( op2(e23,e20) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_14_67,refute_14_174]) ).

cnf(refute_14_176,plain,
    ( e21 = e22
    | e23 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_14_173,refute_14_175]) ).

cnf(refute_14_177,plain,
    ( e23 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_14_176,refute_14_147]) ).

cnf(refute_14_178,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_14_37]) ).

cnf(refute_14_179,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_14_180,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_14_179,refute_14_178]) ).

cnf(refute_14_181,plain,
    ( op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_14_177,refute_14_180]) ).

cnf(refute_14_182,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(canonicalize,[],[normalize_14_38]) ).

cnf(refute_14_183,plain,
    ( op2(e21,e20) != e22
    | op2(e21,e23) != e22
    | op2(e21,e20) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_14_184,plain,
    ( op2(e21,e20) != e22
    | op2(e21,e20) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_14_39,refute_14_183]) ).

cnf(refute_14_185,plain,
    op2(e21,e20) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_14_184,refute_14_182]) ).

cnf(refute_14_186,plain,
    op2(e22,e20) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_14_181,refute_14_185]) ).

cnf(refute_14_187,plain,
    ( op2(e22,e20) != e22
    | op2(e22,e20) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e23) ),[0],$fot(e22)]]) ).

cnf(refute_14_188,plain,
    ( op2(e22,e20) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_14_186,refute_14_187]) ).

cnf(refute_14_189,plain,
    ( e22 = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_14_169,refute_14_188]) ).

cnf(refute_14_190,plain,
    h3(e10) = op2(e22,e22),
    inference(canonicalize,[],[normalize_14_39]) ).

cnf(refute_14_191,plain,
    ( h3(e10) != op2(e22,e22)
    | op2(e22,e22) = h3(e10) ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_14_192,plain,
    op2(e22,e22) = h3(e10),
    inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e22)) )],[refute_14_190,refute_14_191]) ).

cnf(refute_14_193,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e22) != h3(e10)
    | h3(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e10))]]) ).

cnf(refute_14_194,plain,
    ( op2(e22,e22) != e23
    | h3(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e10)) )],[refute_14_192,refute_14_193]) ).

cnf(refute_14_195,plain,
    ( e22 = e23
    | h3(e10) = e23
    | op2(e22,e21) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_189,refute_14_194]) ).

cnf(refute_14_196,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(canonicalize,[],[normalize_14_40]) ).

cnf(refute_14_197,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_14_41]) ).

cnf(refute_14_198,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_14_42]) ).

cnf(refute_14_199,plain,
    ( op2(e20,e23) != e20
    | op2(e23,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_14_200,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_9,refute_14_199]) ).

cnf(refute_14_201,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_14_200,refute_14_198]) ).

cnf(refute_14_202,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_14_197,refute_14_201]) ).

cnf(refute_14_203,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(canonicalize,[],[normalize_14_43]) ).

cnf(refute_14_204,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) != e21
    | op2(e20,e20) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_14_205,plain,
    ( e21 != op2(e20,e23)
    | op2(e20,e20) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_14_27,refute_14_204]) ).

cnf(refute_14_206,plain,
    e21 != op2(e20,e23),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_14_205,refute_14_203]) ).

cnf(refute_14_207,plain,
    ( op2(e20,e23) != e21
    | e21 = op2(e20,e23) ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e21))]]) ).

cnf(refute_14_208,plain,
    op2(e20,e23) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_14_207,refute_14_206]) ).

cnf(refute_14_209,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_14_202,refute_14_208]) ).

cnf(refute_14_210,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(canonicalize,[],[normalize_14_44]) ).

cnf(refute_14_211,plain,
    ( op2(e20,e23) != e22
    | op2(e21,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_14_212,plain,
    ( op2(e20,e23) != e22
    | op2(e20,e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_14_39,refute_14_211]) ).

cnf(refute_14_213,plain,
    op2(e20,e23) != e22,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_14_212,refute_14_210]) ).

cnf(refute_14_214,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_14_209,refute_14_213]) ).

cnf(refute_14_215,plain,
    ( op2(e20,e23) != e21
    | op2(e20,e23) != e23
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(e23)]]) ).

cnf(refute_14_216,plain,
    ( op2(e20,e23) != e21
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_14_214,refute_14_215]) ).

cnf(refute_14_217,plain,
    ( e23 = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_14_196,refute_14_216]) ).

cnf(refute_14_218,plain,
    ( e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_14_217,refute_14_145]) ).

cnf(refute_14_219,plain,
    ( e20 = e21
    | e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_218,refute_14_72]) ).

cnf(refute_14_220,plain,
    ( e22 = e21
    | e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_14_219,refute_14_74]) ).

cnf(refute_14_221,plain,
    ( e23 = e21
    | op2(e22,e23) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_14_220,refute_14_149]) ).

cnf(refute_14_222,plain,
    op2(e22,e23) = e21,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_14_221,refute_14_78]) ).

cnf(refute_14_223,plain,
    ( op2(e22,e23) != e21
    | op2(e22,e23) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e23) ),[0],$fot(e21)]]) ).

cnf(refute_14_224,plain,
    ( op2(e22,e23) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_14_222,refute_14_223]) ).

cnf(refute_14_225,plain,
    ( e21 = e23
    | e22 = e23
    | h3(e10) = e23
    | op2(e22,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_14_195,refute_14_224]) ).

cnf(refute_14_226,plain,
    ( e22 = e23
    | h3(e10) = e23
    | op2(e22,e21) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_14_225,refute_14_76]) ).

cnf(refute_14_227,plain,
    ( h3(e10) = e23
    | op2(e22,e21) = e23 ),
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_14_226,refute_14_178]) ).

cnf(refute_14_228,plain,
    ( op2(e22,e22) != e23
    | op2(e22,e23) = e22 ),
    inference(canonicalize,[],[normalize_14_45]) ).

cnf(refute_14_229,plain,
    ( h3(e10) != e23
    | op2(e22,e22) != h3(e10)
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e10)) ),[1],$fot(e23)]]) ).

cnf(refute_14_230,plain,
    ( h3(e10) != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e10)) )],[refute_14_192,refute_14_229]) ).

cnf(refute_14_231,plain,
    ( h3(e10) != e23
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_230,refute_14_228]) ).

cnf(refute_14_232,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(canonicalize,[],[normalize_14_46]) ).

cnf(refute_14_233,plain,
    ( e22 != op2(e22,e23)
    | op2(e21,e23) != e22
    | op2(e21,e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_14_234,plain,
    ( e22 != op2(e22,e23)
    | op2(e21,e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_14_39,refute_14_233]) ).

cnf(refute_14_235,plain,
    e22 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_14_234,refute_14_232]) ).

cnf(refute_14_236,plain,
    ( op2(e22,e23) != e22
    | e22 = op2(e22,e23) ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).

cnf(refute_14_237,plain,
    op2(e22,e23) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_14_236,refute_14_235]) ).

cnf(refute_14_238,plain,
    h3(e10) != e23,
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_14_231,refute_14_237]) ).

cnf(refute_14_239,plain,
    op2(e22,e21) = e23,
    inference(resolve,[$cnf( $equal(h3(e10),e23) )],[refute_14_227,refute_14_238]) ).

cnf(refute_14_240,plain,
    ( op2(e22,e21) != e22
    | op2(e22,e21) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0],$fot(e23)]]) ).

cnf(refute_14_241,plain,
    ( op2(e22,e21) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_14_239,refute_14_240]) ).

cnf(refute_14_242,plain,
    ( e23 = e22
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_14_168,refute_14_241]) ).

cnf(refute_14_243,plain,
    op2(e23,e21) = e22,
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_14_242,refute_14_180]) ).

cnf(refute_14_244,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e22)]]) ).

cnf(refute_14_245,plain,
    ( op2(e23,e21) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_14_243,refute_14_244]) ).

cnf(refute_14_246,plain,
    ( e22 = e21
    | op2(e23,e22) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_14_79,refute_14_245]) ).

cnf(refute_14_247,plain,
    op2(e23,e22) = e21,
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_14_246,refute_14_149]) ).

cnf(refute_14_248,plain,
    ( h4(op1(e13,e12)) != e21
    | op2(e23,e22) != e21
    | h4(op1(e13,e12)) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e12)),op2(e23,e22)) ),[1],$fot(e21)]]) ).

cnf(refute_14_249,plain,
    ( h4(op1(e13,e12)) != e21
    | h4(op1(e13,e12)) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_14_247,refute_14_248]) ).

cnf(refute_14_250,plain,
    h4(op1(e13,e12)) != e21,
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(e23,e22)) )],[refute_14_249,refute_14_60]) ).

cnf(refute_14_251,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_14_47]) ).

cnf(refute_14_252,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_14_253,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_14_30,refute_14_252]) ).

cnf(refute_14_254,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_14_251,refute_14_253]) ).

cnf(refute_14_255,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    inference(canonicalize,[],[normalize_14_49]) ).

cnf(refute_14_256,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(canonicalize,[],[normalize_14_51]) ).

cnf(refute_14_257,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_14_53]) ).

cnf(refute_14_258,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_14_259,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_14_257,refute_14_258]) ).

cnf(refute_14_260,plain,
    ( e10 != e10
    | op1(e13,e13) != e10
    | op1(e13,e13) = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[1],$fot(e10)]]) ).

cnf(refute_14_261,plain,
    ( e10 != e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_259,refute_14_260]) ).

cnf(refute_14_262,plain,
    ( e10 != e10
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_261,refute_14_256]) ).

cnf(refute_14_263,plain,
    e10 = e10,
    introduced(tautology,[refl,[$fot(e10)]]) ).

cnf(refute_14_264,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(e10,e10) )],[refute_14_263,refute_14_262]) ).

cnf(refute_14_265,plain,
    ( op1(e13,e10) != e11
    | op1(e13,e10) != e13
    | e13 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e11) ),[0],$fot(e13)]]) ).

cnf(refute_14_266,plain,
    ( op1(e13,e10) != e11
    | e13 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_14_264,refute_14_265]) ).

cnf(refute_14_267,plain,
    ( e13 = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_14_255,refute_14_266]) ).

cnf(refute_14_268,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e10 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e10)]]) ).

cnf(refute_14_269,plain,
    ( op1(e13,e13) != e11
    | e10 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_259,refute_14_268]) ).

cnf(refute_14_270,plain,
    ( e10 = e11
    | e13 = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_14_267,refute_14_269]) ).

cnf(refute_14_271,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_14_55]) ).

cnf(refute_14_272,plain,
    ( e13 = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_14_270,refute_14_271]) ).

cnf(refute_14_273,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_14_56]) ).

cnf(refute_14_274,plain,
    ( e13 != e11
    | e11 = e13 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).

cnf(refute_14_275,plain,
    e13 != e11,
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_14_274,refute_14_273]) ).

cnf(refute_14_276,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e12) = e11 ),
    inference(resolve,[$cnf( $equal(e13,e11) )],[refute_14_272,refute_14_275]) ).

cnf(refute_14_277,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(canonicalize,[],[normalize_14_57]) ).

cnf(refute_14_278,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(canonicalize,[],[normalize_14_58]) ).

cnf(refute_14_279,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(canonicalize,[],[normalize_14_59]) ).

cnf(refute_14_280,plain,
    op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).

cnf(refute_14_281,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).

cnf(refute_14_282,plain,
    ( op1(e13,e13) != e10
    | op1(e10,op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_14_280,refute_14_281]) ).

cnf(refute_14_283,plain,
    op1(e10,op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_259,refute_14_282]) ).

cnf(refute_14_284,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
    introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_14_285,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_14_286,plain,
    ( op1(e13,e13) != e10
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_14_284,refute_14_285]) ).

cnf(refute_14_287,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,op1(e13,e13)),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_259,refute_14_286]) ).

cnf(refute_14_288,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(subst,[],[refute_14_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,op1(e13,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).

cnf(refute_14_289,plain,
    ( op1(e10,op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_14_287,refute_14_288]) ).

cnf(refute_14_290,plain,
    op1(op1(e13,e13),op1(e13,e13)) = op1(e10,e10),
    inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_14_283,refute_14_289]) ).

cnf(refute_14_291,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | e11 = op1(e10,e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e10)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).

cnf(refute_14_292,plain,
    ( e11 != op1(op1(e13,e13),op1(e13,e13))
    | e11 = op1(e10,e10) ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_14_290,refute_14_291]) ).

cnf(refute_14_293,plain,
    e11 = op1(e10,e10),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),op1(e13,e13))) )],[refute_14_279,refute_14_292]) ).

cnf(refute_14_294,plain,
    ( e11 != op1(e10,e10)
    | op1(e10,e10) = e11 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e10)))]]) ).

cnf(refute_14_295,plain,
    op1(e10,e10) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e10)) )],[refute_14_293,refute_14_294]) ).

cnf(refute_14_296,plain,
    ( e11 != e11
    | op1(e10,e10) != e11
    | op1(e10,e10) = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).

cnf(refute_14_297,plain,
    ( e11 != e11
    | op1(e10,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_14_295,refute_14_296]) ).

cnf(refute_14_298,plain,
    ( e11 != e11
    | op1(e10,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_14_297,refute_14_278]) ).

cnf(refute_14_299,plain,
    e11 = e11,
    introduced(tautology,[refl,[$fot(e11)]]) ).

cnf(refute_14_300,plain,
    op1(e10,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e11) )],[refute_14_299,refute_14_298]) ).

cnf(refute_14_301,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_14_302,plain,
    ( op1(e10,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_14_300,refute_14_301]) ).

cnf(refute_14_303,plain,
    ( e10 = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_14_277,refute_14_302]) ).

cnf(refute_14_304,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    inference(canonicalize,[],[normalize_14_61]) ).

cnf(refute_14_305,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e10) = e11 ),
    inference(canonicalize,[],[normalize_14_62]) ).

cnf(refute_14_306,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(canonicalize,[],[normalize_14_64]) ).

cnf(refute_14_307,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_14_308,plain,
    ( e11 != op1(e11,e10)
    | op1(e10,e10) = op1(e11,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_14_295,refute_14_307]) ).

cnf(refute_14_309,plain,
    e11 != op1(e11,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_14_308,refute_14_306]) ).

cnf(refute_14_310,plain,
    ( op1(e11,e10) != e11
    | e11 = op1(e11,e10) ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(op1(e11,e10))),bind(Y,$fot(e11))]]) ).

cnf(refute_14_311,plain,
    op1(e11,e10) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e11,e10)) )],[refute_14_310,refute_14_309]) ).

cnf(refute_14_312,plain,
    op1(e11,e11) != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_14_305,refute_14_311]) ).

cnf(refute_14_313,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_14_304,refute_14_312]) ).

cnf(refute_14_314,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(canonicalize,[],[normalize_14_65]) ).

cnf(refute_14_315,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(canonicalize,[],[normalize_14_66]) ).

cnf(refute_14_316,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) != op1(e10,e10)
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(subst,[],[refute_14_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e11))]]) ).

cnf(refute_14_317,plain,
    ( op1(e10,e10) != e11
    | op1(op1(e13,e13),op1(e13,e13)) = e11 ),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e10,e10)) )],[refute_14_290,refute_14_316]) ).

cnf(refute_14_318,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_14_295,refute_14_317]) ).

cnf(refute_14_319,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    introduced(tautology,[refl,[$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_14_320,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) ),[1,0],$fot(e11)]]) ).

cnf(refute_14_321,plain,
    ( op1(op1(e13,e13),op1(e13,e13)) != e11
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_14_319,refute_14_320]) ).

cnf(refute_14_322,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = op1(e11,e13),
    inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e11) )],[refute_14_318,refute_14_321]) ).

cnf(refute_14_323,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | op1(op1(op1(e13,e13),op1(e13,e13)),e13) != op1(e11,e13)
    | e12 = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[0],$fot(op1(op1(op1(e13,e13),op1(e13,e13)),e13))]]) ).

cnf(refute_14_324,plain,
    ( e12 != op1(op1(op1(e13,e13),op1(e13,e13)),e13)
    | e12 = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(op1(e13,e13),op1(e13,e13)),e13),op1(e11,e13)) )],[refute_14_322,refute_14_323]) ).

cnf(refute_14_325,plain,
    e12 = op1(e11,e13),
    inference(resolve,[$cnf( $equal(e12,op1(op1(op1(e13,e13),op1(e13,e13)),e13)) )],[refute_14_315,refute_14_324]) ).

cnf(refute_14_326,plain,
    ( e12 != op1(e11,e13)
    | op1(e11,e13) = e12 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e11,e13)))]]) ).

cnf(refute_14_327,plain,
    op1(e11,e13) = e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_14_325,refute_14_326]) ).

cnf(refute_14_328,plain,
    ( op1(e11,e11) != e12
    | op1(e11,e13) != e12
    | op1(e11,e11) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_14_329,plain,
    ( op1(e11,e11) != e12
    | op1(e11,e11) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_14_327,refute_14_328]) ).

cnf(refute_14_330,plain,
    op1(e11,e11) != e12,
    inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_14_329,refute_14_314]) ).

cnf(refute_14_331,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_14_313,refute_14_330]) ).

cnf(refute_14_332,plain,
    ( op1(e11,e11) != e13
    | op1(e11,e13) = e11 ),
    inference(canonicalize,[],[normalize_14_67]) ).

cnf(refute_14_333,plain,
    ( op1(e11,e13) != e11
    | op1(e11,e13) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e11) ),[0],$fot(e12)]]) ).

cnf(refute_14_334,plain,
    ( op1(e11,e13) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_14_327,refute_14_333]) ).

cnf(refute_14_335,plain,
    ( op1(e11,e11) != e13
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_14_332,refute_14_334]) ).

cnf(refute_14_336,plain,
    e11 != e12,
    inference(canonicalize,[],[normalize_14_68]) ).

cnf(refute_14_337,plain,
    ( e12 != e11
    | e11 = e12 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).

cnf(refute_14_338,plain,
    e12 != e11,
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_14_337,refute_14_336]) ).

cnf(refute_14_339,plain,
    op1(e11,e11) != e13,
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_14_335,refute_14_338]) ).

cnf(refute_14_340,plain,
    op1(e11,e11) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_14_331,refute_14_339]) ).

cnf(refute_14_341,plain,
    ( op1(e11,e11) != e11
    | op1(e11,e11) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e11)]]) ).

cnf(refute_14_342,plain,
    ( op1(e11,e11) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_14_340,refute_14_341]) ).

cnf(refute_14_343,plain,
    ( e10 = e12
    | e11 = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_14_303,refute_14_342]) ).

cnf(refute_14_344,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_14_69]) ).

cnf(refute_14_345,plain,
    ( e12 != op1(e13,e13)
    | op1(e11,e13) != e12
    | op1(e11,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).

cnf(refute_14_346,plain,
    ( e12 != op1(e13,e13)
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_14_327,refute_14_345]) ).

cnf(refute_14_347,plain,
    ( e12 != e10
    | op1(e13,e13) != e10
    | e12 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_14_348,plain,
    ( e12 != e10
    | e12 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_259,refute_14_347]) ).

cnf(refute_14_349,plain,
    ( e12 != e10
    | op1(e11,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_14_348,refute_14_346]) ).

cnf(refute_14_350,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_14_349,refute_14_344]) ).

cnf(refute_14_351,plain,
    ( e10 != e12
    | e12 = e10 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e10)),bind(Y,$fot(e12))]]) ).

cnf(refute_14_352,plain,
    e10 != e12,
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_14_351,refute_14_350]) ).

cnf(refute_14_353,plain,
    ( e11 = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_14_343,refute_14_352]) ).

cnf(refute_14_354,plain,
    ( op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_14_353,refute_14_336]) ).

cnf(refute_14_355,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    inference(canonicalize,[],[normalize_14_70]) ).

cnf(refute_14_356,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(canonicalize,[],[normalize_14_71]) ).

cnf(refute_14_357,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e10) != e12
    | e11 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e11)]]) ).

cnf(refute_14_358,plain,
    ( op1(e10,e10) != e12
    | e11 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_14_295,refute_14_357]) ).

cnf(refute_14_359,plain,
    ( e11 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_14_356,refute_14_358]) ).

cnf(refute_14_360,plain,
    ( op1(e13,e10) != e12
    | op1(e13,e10) != e13
    | e13 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[0],$fot(e13)]]) ).

cnf(refute_14_361,plain,
    ( op1(e13,e10) != e12
    | e13 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_14_264,refute_14_360]) ).

cnf(refute_14_362,plain,
    ( e11 = e12
    | e13 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_14_359,refute_14_361]) ).

cnf(refute_14_363,plain,
    ( e13 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(e11,e12) )],[refute_14_362,refute_14_336]) ).

cnf(refute_14_364,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_14_72]) ).

cnf(refute_14_365,plain,
    ( e13 != e12
    | e12 = e13 ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).

cnf(refute_14_366,plain,
    e13 != e12,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_14_365,refute_14_364]) ).

cnf(refute_14_367,plain,
    ( op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e12) )],[refute_14_363,refute_14_366]) ).

cnf(refute_14_368,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(canonicalize,[],[normalize_14_73]) ).

cnf(refute_14_369,plain,
    ( op1(e11,e10) != e12
    | op1(e11,e13) != e12
    | op1(e11,e10) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_14_370,plain,
    ( op1(e11,e10) != e12
    | op1(e11,e10) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_14_327,refute_14_369]) ).

cnf(refute_14_371,plain,
    op1(e11,e10) != e12,
    inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_14_370,refute_14_368]) ).

cnf(refute_14_372,plain,
    op1(e12,e10) = e12,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_14_367,refute_14_371]) ).

cnf(refute_14_373,plain,
    ( op1(e12,e10) != e12
    | op1(e12,e10) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e13) ),[0],$fot(e12)]]) ).

cnf(refute_14_374,plain,
    ( op1(e12,e10) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_14_372,refute_14_373]) ).

cnf(refute_14_375,plain,
    ( e12 = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_14_355,refute_14_374]) ).

cnf(refute_14_376,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(canonicalize,[],[normalize_14_74]) ).

cnf(refute_14_377,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_14_75]) ).

cnf(refute_14_378,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_14_76]) ).

cnf(refute_14_379,plain,
    ( op1(e10,e13) != e10
    | op1(e13,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_14_380,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_259,refute_14_379]) ).

cnf(refute_14_381,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_14_380,refute_14_378]) ).

cnf(refute_14_382,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_14_377,refute_14_381]) ).

cnf(refute_14_383,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_14_77]) ).

cnf(refute_14_384,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) != e11
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_14_385,plain,
    ( e11 != op1(e10,e13)
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_14_295,refute_14_384]) ).

cnf(refute_14_386,plain,
    e11 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_14_385,refute_14_383]) ).

cnf(refute_14_387,plain,
    ( op1(e10,e13) != e11
    | e11 = op1(e10,e13) ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e11))]]) ).

cnf(refute_14_388,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_14_387,refute_14_386]) ).

cnf(refute_14_389,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_14_382,refute_14_388]) ).

cnf(refute_14_390,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(canonicalize,[],[normalize_14_78]) ).

cnf(refute_14_391,plain,
    ( op1(e10,e13) != e12
    | op1(e11,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_14_392,plain,
    ( op1(e10,e13) != e12
    | op1(e10,e13) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_14_327,refute_14_391]) ).

cnf(refute_14_393,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_14_392,refute_14_390]) ).

cnf(refute_14_394,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_14_389,refute_14_393]) ).

cnf(refute_14_395,plain,
    ( op1(e10,e13) != e11
    | op1(e10,e13) != e13
    | e13 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[0],$fot(e13)]]) ).

cnf(refute_14_396,plain,
    ( op1(e10,e13) != e11
    | e13 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_14_394,refute_14_395]) ).

cnf(refute_14_397,plain,
    ( e13 = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_14_376,refute_14_396]) ).

cnf(refute_14_398,plain,
    ( e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_14_397,refute_14_334]) ).

cnf(refute_14_399,plain,
    ( e10 = e11
    | e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_14_398,refute_14_269]) ).

cnf(refute_14_400,plain,
    ( e12 = e11
    | e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_14_399,refute_14_271]) ).

cnf(refute_14_401,plain,
    ( e13 = e11
    | op1(e12,e13) = e11 ),
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_14_400,refute_14_338]) ).

cnf(refute_14_402,plain,
    op1(e12,e13) = e11,
    inference(resolve,[$cnf( $equal(e13,e11) )],[refute_14_401,refute_14_275]) ).

cnf(refute_14_403,plain,
    ( op1(e12,e13) != e11
    | op1(e12,e13) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e13) ),[0],$fot(e11)]]) ).

cnf(refute_14_404,plain,
    ( op1(e12,e13) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_14_402,refute_14_403]) ).

cnf(refute_14_405,plain,
    ( e11 = e13
    | e12 = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_14_375,refute_14_404]) ).

cnf(refute_14_406,plain,
    ( e12 = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_14_405,refute_14_273]) ).

cnf(refute_14_407,plain,
    ( op1(e12,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_14_406,refute_14_364]) ).

cnf(refute_14_408,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(canonicalize,[],[normalize_14_79]) ).

cnf(refute_14_409,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(canonicalize,[],[normalize_14_80]) ).

cnf(refute_14_410,plain,
    ( e12 != op1(e12,e13)
    | op1(e11,e13) != e12
    | op1(e11,e13) = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).

cnf(refute_14_411,plain,
    ( e12 != op1(e12,e13)
    | op1(e11,e13) = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_14_327,refute_14_410]) ).

cnf(refute_14_412,plain,
    e12 != op1(e12,e13),
    inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_14_411,refute_14_409]) ).

cnf(refute_14_413,plain,
    ( op1(e12,e13) != e12
    | e12 = op1(e12,e13) ),
    inference(subst,[],[refute_14_7:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_14_414,plain,
    op1(e12,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_14_413,refute_14_412]) ).

cnf(refute_14_415,plain,
    op1(e12,e12) != e13,
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_14_408,refute_14_414]) ).

cnf(refute_14_416,plain,
    op1(e12,e11) = e13,
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_14_407,refute_14_415]) ).

cnf(refute_14_417,plain,
    ( op1(e12,e11) != e12
    | op1(e12,e11) != e13
    | e13 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e13)]]) ).

cnf(refute_14_418,plain,
    ( op1(e12,e11) != e12
    | e13 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_14_416,refute_14_417]) ).

cnf(refute_14_419,plain,
    ( e13 = e12
    | op1(e13,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_14_354,refute_14_418]) ).

cnf(refute_14_420,plain,
    op1(e13,e11) = e12,
    inference(resolve,[$cnf( $equal(e13,e12) )],[refute_14_419,refute_14_366]) ).

cnf(refute_14_421,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) != e12
    | e12 = e11 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e12)]]) ).

cnf(refute_14_422,plain,
    ( op1(e13,e11) != e11
    | e12 = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_14_420,refute_14_421]) ).

cnf(refute_14_423,plain,
    ( e12 = e11
    | op1(e13,e12) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_14_276,refute_14_422]) ).

cnf(refute_14_424,plain,
    op1(e13,e12) = e11,
    inference(resolve,[$cnf( $equal(e12,e11) )],[refute_14_423,refute_14_338]) ).

cnf(refute_14_425,plain,
    h4(op1(e13,e12)) = h4(op1(e13,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e13,e12)))]]) ).

cnf(refute_14_426,plain,
    ( h4(op1(e13,e12)) != h4(op1(e13,e12))
    | op1(e13,e12) != e11
    | h4(op1(e13,e12)) = h4(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),h4(op1(e13,e12))) ),[1,0],$fot(e11)]]) ).

cnf(refute_14_427,plain,
    ( op1(e13,e12) != e11
    | h4(op1(e13,e12)) = h4(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(op1(e13,e12))) )],[refute_14_425,refute_14_426]) ).

cnf(refute_14_428,plain,
    h4(op1(e13,e12)) = h4(e11),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_14_424,refute_14_427]) ).

cnf(refute_14_429,plain,
    ( h4(e11) != e21
    | h4(op1(e13,e12)) != h4(e11)
    | h4(op1(e13,e12)) = e21 ),
    inference(subst,[],[refute_14_19:[bind(X,$fot(h4(op1(e13,e12)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_14_430,plain,
    ( h4(e11) != e21
    | h4(op1(e13,e12)) = e21 ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(e11)) )],[refute_14_428,refute_14_429]) ).

cnf(refute_14_431,plain,
    h4(op1(e13,e12)) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_14_254,refute_14_430]) ).

cnf(refute_14_432,plain,
    ( e21 != e21
    | h4(op1(e13,e12)) != e21
    | h4(op1(e13,e12)) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),e21) ),[1],$fot(e21)]]) ).

cnf(refute_14_433,plain,
    ( e21 != e21
    | h4(op1(e13,e12)) = e21 ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),e21) )],[refute_14_431,refute_14_432]) ).

cnf(refute_14_434,plain,
    e21 != e21,
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),e21) )],[refute_14_433,refute_14_250]) ).

cnf(refute_14_435,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_14_85,refute_14_434]) ).

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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_15_10,plain,
    h4(e10) = op2(e23,e23),
    inference(conjunct,[],[normalize_15_9]) ).

fof(normalize_15_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_15_12,plain,
    e20 = op2(e23,e23),
    inference(conjunct,[],[normalize_15_11]) ).

fof(normalize_15_13,plain,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_15_14,plain,
    e10 = 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(e10) = op2(e23,e23),
    inference(canonicalize,[],[normalize_15_10]) ).

cnf(refute_15_2,plain,
    e20 = 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,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_15_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_15_7,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_15_2,refute_15_6]) ).

cnf(refute_15_8,plain,
    ( h4(e10) != op2(e23,e23)
    | op2(e23,e23) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_15_9,plain,
    ( h4(e10) != op2(e23,e23)
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_15_7,refute_15_8]) ).

cnf(refute_15_10,plain,
    h4(e10) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e23)) )],[refute_15_1,refute_15_9]) ).

cnf(refute_15_11,plain,
    e10 = op1(e13,e13),
    inference(canonicalize,[],[normalize_15_14]) ).

cnf(refute_15_12,plain,
    ( e10 != op1(e13,e13)
    | op1(e13,e13) = e10 ),
    inference(subst,[],[refute_15_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_15_13,plain,
    op1(e13,e13) = e10,
    inference(resolve,[$cnf( $equal(e10,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) != e10
    | h4(op1(e13,e13)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_15_16,plain,
    ( op1(e13,e13) != e10
    | h4(op1(e13,e13)) = h4(e10) ),
    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(e10),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[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(e10) != e20
    | h4(op1(e13,e13)) != h4(e10)
    | h4(op1(e13,e13)) = e20 ),
    inference(subst,[],[refute_15_19:[bind(X,$fot(h4(op1(e13,e13)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_15_21,plain,
    ( h4(e10) != e20
    | h4(op1(e13,e13)) = e20 ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(e10)) )],[refute_15_17,refute_15_20]) ).

cnf(refute_15_22,plain,
    h4(op1(e13,e13)) = e20,
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_15_10,refute_15_21]) ).

cnf(refute_15_23,plain,
    ( e20 != op2(h4(e13),h4(e13))
    | h4(op1(e13,e13)) != e20
    | h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),e20) ),[1],$fot(op2(h4(e13),h4(e13)))]]) ).

cnf(refute_15_24,plain,
    ( e20 != op2(h4(e13),h4(e13))
    | h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),e20) )],[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) != e20
    | op2(h4(e13),h4(e13)) != op2(e23,e23)
    | op2(h4(e13),h4(e13)) = e20 ),
    inference(subst,[],[refute_15_19:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).

cnf(refute_15_38,plain,
    ( op2(e23,e23) != e20
    | op2(h4(e13),h4(e13)) = e20 ),
    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)) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_15_7,refute_15_38]) ).

cnf(refute_15_40,plain,
    ( e20 != e20
    | op2(h4(e13),h4(e13)) != e20
    | e20 = op2(h4(e13),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h4(e13),h4(e13))) ),[1],$fot(e20)]]) ).

cnf(refute_15_41,plain,
    ( e20 != e20
    | e20 = op2(h4(e13),h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),e20) )],[refute_15_39,refute_15_40]) ).

cnf(refute_15_42,plain,
    ( e20 != e20
    | h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    inference(resolve,[$cnf( $equal(e20,op2(h4(e13),h4(e13))) )],[refute_15_41,refute_15_24]) ).

cnf(refute_15_43,plain,
    e20 != e20,
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),op2(h4(e13),h4(e13))) )],[refute_15_42,refute_15_0]) ).

cnf(refute_15_44,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_15_45,plain,
    $false,
    inference(resolve,[$cnf( $equal(e20,e20) )],[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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_16_10,plain,
    h4(e10) = op2(e23,e23),
    inference(conjunct,[],[normalize_16_9]) ).

fof(normalize_16_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_16_12,plain,
    e20 = 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,e23),
    inference(canonicalize,[],[normalize_16_10]) ).

cnf(refute_16_2,plain,
    e20 = 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,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_16_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_16_7,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_16_2,refute_16_6]) ).

cnf(refute_16_8,plain,
    ( h4(e10) != op2(e23,e23)
    | op2(e23,e23) != e20
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_16_9,plain,
    ( h4(e10) != op2(e23,e23)
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(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,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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_17_10,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_17_9]) ).

fof(normalize_17_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_17_12,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_17_11]) ).

fof(normalize_17_13,plain,
    e20 = 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(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_17_10]) ).

cnf(refute_17_2,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_17_12]) ).

cnf(refute_17_3,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_17_13]) ).

cnf(refute_17_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_17_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_17_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_17_4,refute_17_5]) ).

cnf(refute_17_7,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_17_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_17_8,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_17_3,refute_17_7]) ).

cnf(refute_17_9,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_17_10,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_17_11,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_17_9,refute_17_10]) ).

cnf(refute_17_12,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_8,refute_17_11]) ).

cnf(refute_17_13,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_17_14,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_17_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_17_13,refute_17_14]) ).

cnf(refute_17_16,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_8,refute_17_15]) ).

cnf(refute_17_17,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_17_18,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_17_6,refute_17_17]) ).

cnf(refute_17_19,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_17_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_17_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_17_16,refute_17_19]) ).

cnf(refute_17_21,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_17_12,refute_17_20]) ).

cnf(refute_17_22,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_17_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_17_21,refute_17_22]) ).

cnf(refute_17_24,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_17_2,refute_17_23]) ).

cnf(refute_17_25,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_17_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_17_26,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_17_24,refute_17_25]) ).

cnf(refute_17_27,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_17_18:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_17_28,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_17_21,refute_17_27]) ).

cnf(refute_17_29,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_17_26,refute_17_28]) ).

cnf(refute_17_30,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_17_31,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_17_29,refute_17_30]) ).

cnf(refute_17_32,plain,
    h4(e11) = e21,
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_17_1,refute_17_31]) ).

cnf(refute_17_33,plain,
    ( e21 != e21
    | h4(e11) != e21
    | h4(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).

cnf(refute_17_34,plain,
    ( e21 != e21
    | h4(e11) = e21 ),
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_32,refute_17_33]) ).

cnf(refute_17_35,plain,
    e21 != e21,
    inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_34,refute_17_0]) ).

cnf(refute_17_36,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_17_37,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_36,refute_17_35]) ).

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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    & h4(e13) = e23 ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_18_10,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_18_9]) ).

fof(normalize_18_11,plain,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_18_12,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(conjunct,[],[normalize_18_11]) ).

fof(normalize_18_13,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_18_11]) ).

fof(normalize_18_14,plain,
    e20 = 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(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_18_10]) ).

cnf(refute_18_2,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(canonicalize,[],[normalize_18_12]) ).

cnf(refute_18_3,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_18_13]) ).

cnf(refute_18_4,plain,
    e20 = op2(e23,e23),
    inference(canonicalize,[],[normalize_18_14]) ).

cnf(refute_18_5,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_18_6,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_18_7,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_18_5,refute_18_6]) ).

cnf(refute_18_8,plain,
    ( e20 != op2(e23,e23)
    | op2(e23,e23) = e20 ),
    inference(subst,[],[refute_18_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_18_9,plain,
    op2(e23,e23) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_18_4,refute_18_8]) ).

cnf(refute_18_10,plain,
    op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).

cnf(refute_18_11,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).

cnf(refute_18_12,plain,
    ( op2(e23,e23) != e20
    | op2(e20,op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_18_10,refute_18_11]) ).

cnf(refute_18_13,plain,
    op2(e20,op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_18_9,refute_18_12]) ).

cnf(refute_18_14,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_18_15,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e20)]]) ).

cnf(refute_18_16,plain,
    ( op2(e23,e23) != e20
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_18_14,refute_18_15]) ).

cnf(refute_18_17,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_18_9,refute_18_16]) ).

cnf(refute_18_18,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_18_19,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_18_7,refute_18_18]) ).

cnf(refute_18_20,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(subst,[],[refute_18_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_18_21,plain,
    ( op2(e20,op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_18_17,refute_18_20]) ).

cnf(refute_18_22,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_18_13,refute_18_21]) ).

cnf(refute_18_23,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | e21 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e20)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_18_24,plain,
    ( e21 != op2(op2(e23,e23),op2(e23,e23))
    | e21 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_18_22,refute_18_23]) ).

cnf(refute_18_25,plain,
    e21 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),op2(e23,e23))) )],[refute_18_3,refute_18_24]) ).

cnf(refute_18_26,plain,
    ( e21 != op2(e20,e20)
    | op2(e20,e20) = e21 ),
    inference(subst,[],[refute_18_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_18_27,plain,
    op2(e20,e20) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_18_25,refute_18_26]) ).

cnf(refute_18_28,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(subst,[],[refute_18_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).

cnf(refute_18_29,plain,
    ( op2(e20,e20) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_18_22,refute_18_28]) ).

cnf(refute_18_30,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_18_27,refute_18_29]) ).

cnf(refute_18_31,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_18_32,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_18_33,plain,
    ( op2(op2(e23,e23),op2(e23,e23)) != e21
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_18_31,refute_18_32]) ).

cnf(refute_18_34,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e21) )],[refute_18_30,refute_18_33]) ).

cnf(refute_18_35,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_18_36,plain,
    ( e22 != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_18_34,refute_18_35]) ).

cnf(refute_18_37,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(e22,op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_18_2,refute_18_36]) ).

cnf(refute_18_38,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_18_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_18_39,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_18_37,refute_18_38]) ).

cnf(refute_18_40,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != op2(e21,e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(subst,[],[refute_18_19:[bind(X,$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e22))]]) ).

cnf(refute_18_41,plain,
    ( op2(e21,e23) != e22
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),op2(e21,e23)) )],[refute_18_34,refute_18_40]) ).

cnf(refute_18_42,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_18_39,refute_18_41]) ).

cnf(refute_18_43,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | op2(op2(op2(e23,e23),op2(e23,e23)),e23) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),e23))]]) ).

cnf(refute_18_44,plain,
    ( h4(e12) != op2(op2(op2(e23,e23),op2(e23,e23)),e23)
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),e23),e22) )],[refute_18_42,refute_18_43]) ).

cnf(refute_18_45,plain,
    h4(e12) = e22,
    inference(resolve,[$cnf( $equal(h4(e12),op2(op2(op2(e23,e23),op2(e23,e23)),e23)) )],[refute_18_1,refute_18_44]) ).

cnf(refute_18_46,plain,
    ( e22 != e22
    | h4(e12) != e22
    | h4(e12) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).

cnf(refute_18_47,plain,
    ( e22 != e22
    | h4(e12) = e22 ),
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_18_45,refute_18_46]) ).

cnf(refute_18_48,plain,
    e22 != e22,
    inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_18_47,refute_18_0]) ).

cnf(refute_18_49,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_18_50,plain,
    $false,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_18_49,refute_18_48]) ).

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,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,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,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,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,e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = op2(op2(op2(e21,e21),op2(e21,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,e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = op2(op2(op2(e22,e22),op2(e22,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
% 0.00/0.10  % Problem  : ALG121+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.11  % Command  : metis --show proof --show saturation %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Wed Jun  8 00:45:06 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.10/0.31  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.44/2.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.44/2.63  
% 2.44/2.63  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.84/3.07  
%------------------------------------------------------------------------------